Algebra

Problem 27701

Check if each value of $v$ satisfies the inequality $-5 + 8v \geq -69$ .

See Solution

Problem 27702

Simplify the difference quotient for $f(x)= 3x + 7$ : $\frac{f(x+h)-f(x)}{h}$ , where $h \neq 0$ .

See Solution

Problem 27703

Check if each value of $v$ (9, 6, -4, 4) satisfies the inequality $2v + 1 < 13$ .

See Solution

Problem 27704

Solve the inequalities: (a) $4(7-u)+6u<10$ ; (b) $-2(v+5)+21 \geq 2(6-v)$ . Identify solutions.

See Solution

Problem 27705

Solve the inequality $5(7 v+6) \geq 35 v+30$ . What are the possible values for $v$ ?

See Solution

Problem 27706

Solve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

See Solution

Problem 27707

Solve the inequality $-2(v+5)+21 \geq 2(6-v)$ . What are the possible values for $v$ ?

See Solution

Problem 27708

Solve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

See Solution

Problem 27709

Calculate the cost to drive 150 miles at 23 mpg with gas at 327 cents/gal. Find the formula $C(m, g, d)$ . Then, find cost for 188 miles at 28 mpg and \$3.77/gal.

See Solution

Problem 27710

Solve the inequality $4(5 x+3) \leq 18 x+30$ . What are the possible values for $x$ ?

See Solution

Problem 27711

Calculate the cost to drive 150 miles with 23 mpg and gas at 327 cents/gallon. Also, find the cost formula $C(m, g, d)$ . Then, use it for 28 mpg over 188 miles at \$3.77/gallon.

See Solution

Problem 27712

Courri's new salary is \$2754 after a 2% raise. What was his salary before the raise? Round to the nearest penny.

See Solution

Problem 27713

A man has stock worth \$2800. It drops by 8% and then gains 8% back. What is the stock's value after two days?

See Solution

Problem 27714

Joyce paid \$49.50 for an item that was 45% off. Find the original price.

See Solution

Problem 27715

Pedro's monthly salary is now \$1919 after a 1% raise. What was his salary before the raise?

See Solution

Problem 27716

Determine the slope and $y$ -intercept of the line given by $y=-8 x-11$ . What is the slope?

See Solution

Problem 27717

Find the slope for each pair of points: (4,7) & (8,10), (2,1) & (3,4), etc., and determine line behavior.

See Solution

Problem 27718

Find the slope and equations of the line through points $(6,7)$ and $(13,11)$ .
(A) Slope: $m=\square$ (integer or simplified fraction). B. Slope not defined.

See Solution

Problem 27719

Solve for $x$ in the equation $F(12) = 2x + 4$ .

See Solution

Problem 27720

Solve for $x$ in the equation $\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8$ .

See Solution

Problem 27721

Find the slope and equations of the line through points $(6,1)$ and $(10,6)$ .
(A) Slope: A. $m=\square$ or B. Not defined.
(B) Point-slope form.
(C) Slope-intercept form.
(D) Standard form.

See Solution

Problem 27722

Determine the empirical formula of a metal sulfide formed from 8.741 g of iron and 13.76 g of sulfide. Enter as Fe, S.

See Solution

Problem 27723

Calculate the dihydrogen production rate in kg/s from 133 L/s of methane at 249 °C and 0.68 atm. Round to 2 sig. digits.

See Solution

Problem 27724

A 7.021 g sample of manganese reacts with excess chlorine to form a 16.08 g metal chloride. Find the empirical formula: $\mathrm{Mn}, \mathrm{Cl}$ .

See Solution

Problem 27725

Find the maximum value of $f(x)=400 x-11 x^{2}-3$ graphically, rounded to four decimal places.

See Solution

Problem 27726

A plant makes 50 clubs for \ $4863 and 70 clubs for \$6163. Find cost function$ \mathrm{C}(x) $and graph it for$ 0 \leq x \leq 200$. Interpret slope and intercept.

See Solution

Problem 27727

A truck travels 50 mph. At 6:00 A.M., a car leaves 30 mins later. It catches the truck at 8:00 A.M. Find the car's speed in mph.

See Solution

Problem 27728

Find the molecular formula of $\mathrm{PNBr}_{2}$ with a molecular weight of 204.8 amu using atomic masses of P, N, Br.

See Solution

Problem 27729

Solve for the number where $4x + 6 = x - 9$ .

See Solution

Problem 27730

Find when the rainbow smelt ( $y_{1}=-19.76x+227$ ) and bloater fish populations ( $y_{2}=-92.57x+1052$ ) are equal.

See Solution

Problem 27731

Bart needs to average $70\%$ in his math class with five tests. He scored $41, 50, 49, 43$ on the first four tests. What scores on test five will cause him to fail?

See Solution

Problem 27732

Determine if the function $g(x)=-4 x^{5}+5 x^{3}$ is even, odd, or neither.

See Solution

Problem 27733

Find the constant $x$ in the equation $H=x \frac{v}{A}$ from $v=\frac{7}{4} A H$ .

See Solution

Problem 27734

If $x = 5$ , find the value of $6x$ , $5x$ , $30x$ , and $R^{30}$ .

See Solution

Problem 27735

Find the slope and y-intercept for each line: 39. $y=2x+1$ , 40. $y=3x+2$ , 41. $f(x)=-2x+1$ , 42. $f(x)=-3x+2$ , 43. $f(x)=\frac{3}{4}x-2$ , 44. $f(x)=\frac{3}{4}x-3$ , 45. $y=-\frac{3}{5}x+7$ , 46. $y=-\frac{2}{5}x+6$ , 47. $g(x)=-\frac{1}{2}x$ , 48. $g(x)=-\frac{1}{3}x$ . Graph each function.

See Solution

Problem 27736

Factor the expression $36 x^{3}+21 x^{2}+3 x$ as $a x(b x+1)(c x+1)$ with $b>c$ . Find the value of $c$ .

See Solution

Problem 27737

Find the selling price of a couch bought for \$113.00 with a 45% markup. What is the price?

See Solution

Problem 27738

What price should Jessica's Furniture Store sell a couch bought for \$113.00 with a 45% markup?

See Solution

Problem 27739

Landen spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A $L-\frac{1}{15} L$ B $L(1-0.15)$ C $0.15 L$ D $L-\frac{15}{100}$ E $L-\frac{3}{20} L$

See Solution

Problem 27740

Landen spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions represent Matéo's hours? Choose 2: A) $L-\frac{1}{15} L$ , B) $L(1-0.15)$ , C) $0.15 L$ , D) $L-\frac{15}{100}$ , E) $L-\frac{3}{20} L$ .

See Solution

Problem 27741

Find where the lines $y = x - 3$ and $y = 3x^2$ intersect.

See Solution

Problem 27742

Rewrite the equations in slope-intercept form, find the slope and y-intercept, and graph them. 59. $3x + y - 5 = 0$ 60. $4x + y - 6 = 0$ 61. $2x + 3y - 18 = 0$ 62. $4x + 6y + 12 = 0$

See Solution

Problem 27743

Casey pays $\$ 0.72$ in sales tax at $6\%$ . What was the original price of the bracelet before tax?

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Problem 27744

Find the values of $x \in \mathbb{R}$ for which $f(x)=\frac{x^{2}+1}{x-1}$ is defined and continuous (in interval notation).

See Solution

Problem 27745

Find the values of $x \in \mathbb{R}$ for which $f(x)=\ln (x+1)$ is defined and continuous (interval notation).

See Solution

Problem 27746

Bacteria area doubles hourly.
a. Graph this situation. b. Is the model linear or exponential, discrete or continuous?

See Solution

Problem 27747

Find where the function $f(x)=\sqrt{4x+16}$ is continuous and express the $\mathrm{x}$ -values in interval notation.

See Solution

Problem 27748

Find the intersection of the curves $y=2x^2+3$ and $y=-x+6$ .

See Solution

Problem 27749

Brick layers increase bricks by $5\%$ daily.
a. Graph the situation.
b. Determine if the model is linear or exponential and if growth is discrete or continuous.

See Solution

Problem 27750

Find the intersection points of the lines $y=3-x$ and $y=-x^{2}+2x+3$ .

See Solution

Problem 27751

Find the value of $a$ for which $f(x)$ is continuous at all $x$ :
$f(x)=\begin{cases} x^{2}-99, & x<11 \\ 2 a x, & x \geq 11 \end{cases}$
Options: A. $a=$ B. No solution.

See Solution

Problem 27752

Find the value of $x$ in $g = x \sqrt{p}$ if $p = \frac{2 g^{2}}{50}$ .

See Solution

Problem 27753

Model the fungus growth rate $R(t)$ as:
$R(t)=\left\{\begin{array}{ll} 2 e^{t} & \text { if } 0 \leq t \leq t_{c} \\ a & \text { if } t>t_{c} \end{array}\right.$
Find $a$ for continuity at $t=t_{c}$ . What is $a$ in terms of $e$ ?

See Solution

Problem 27754

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ for $x$ .

See Solution

Problem 27755

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ .

See Solution

Problem 27756

How many grams of fluorine ( $\mathrm{F}_{2}$ ) are needed for 3.25 moles of carbon tetrafluoride ( $\mathrm{CF}_{4}$ )? Molar mass of $\mathrm{F}_{2}$ is 38.00 g/mol. [?] g $\mathrm{F}_{2}$

See Solution

Problem 27757

A fungus grows exponentially then linearly. Given $R(t)$ , find $R(t_c)$ for continuity and graph $R(t)$ if $t_c=2$ .

See Solution

Problem 27758

Model the fungus growth rate $R(t)$ as $R(t)=\{2 e^{t}, 0 \leq t \leq t_{c}; a, t>t_{c}\}$ . Find $a$ for continuity at $t=t_{c}$ .

See Solution

Problem 27759

Find values of the linear function $f(x)=x$ for $x = -2, -1, 0, 1, 2$ .

See Solution

Problem 27760

Express the set $-6<x \leq-1$ in interval notation.

See Solution

Problem 27761

Solve for x: -14 < -4x + 5 ≤ -13. Provide your answer in interval notation.

See Solution

Problem 27762

Solve for $x$ in the inequality $3 < -11(x+4) \leq -7$ . Answer in interval notation or type DNE if no solution exists.

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Problem 27763

Match each set builder expression with the correct interval:
1. $\{x \mid a<x\}$ : a. $[a, b]$
2. $\{x \mid x<b\}$ : b. $[a, b)$
3. $\{x \mid a<x \leq b\}$ : c. $(a, \infty)$
4. $\{x \mid a<x<b\}$ : d. $[a, \infty)$
5. $\{x \mid x \in \mathbb{R}\}$ : e. $(a, b]$
6. $\{x \mid a \leq x<b\}$ : f. $(-\infty, b)$
7. $\{x \mid a \leq x\}$ : g. $(-\infty, b]$
8. $\{x \mid x \leq b\}$ : h. $(-\infty, \infty)$
9. $\{x \mid a \leq x \leq b\}$ : i. $(a, b)$

See Solution

Problem 27764

Solve the inequality: $-11-8x \leq 12+8x$ . Enter your answer as an interval, like $[a, oo)$ .

See Solution

Problem 27765

Solve the inequality: $\frac{9}{3}+b<\frac{35}{27}$ . Enter your answer as an interval using "oo" for $\infty$ .

See Solution

Problem 27766

Solve the inequality $|4x + 3| < 8$ and express your solution in interval notation.

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Problem 27767

Solve the inequality $\left|\frac{x+21}{7}\right|>1$ and express the solution as an interval.

See Solution

Problem 27768

Find $y$ for the line through points $(3, y)$ and $(1, 4)$ with slope $m = -3$ .

See Solution

Problem 27769

Calculate the time for the concentration of $\mathrm{NH}_{3}$ (0.410 M) to decrease by 76% with a rate constant of $0.0242 \mathrm{~s}^{-1}$ . Round to 2 significant digits.

See Solution

Problem 27770

Solve the inequality: $-4|x-1|-3 \leq-23$ . Provide the solution in interval notation.

See Solution

Problem 27771

If 5 reserved seats sold correspond to 4 general admission seats, and 27,360 total seats were sold, how many general admission seats?

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Problem 27772

Simplify the expression: $3n + 2(-2n - 1)$ . Choose the equivalent expression: (A) $-n + 2$ , (B) $n + 2$ , (C) $-n - 2$ , (D) $n - 2$ .

See Solution

Problem 27773

Find the linear function for the sequence $-8,-4,0,4,8,\ldots$ . Options: $a_{n}=8+4(n-1)$ , $a_{n}=8-4(n-1)$ , $a_{n}=-8-4(n-1)$ , $a_{n}=-8+4(n-1)$ .

See Solution

Problem 27774

Simplify the expression: $-4(z+3)-4(5-4 z)$ . Choose the correct equivalent expression from the options.

See Solution

Problem 27775

Simplify the expression: $-3(2+4k)+7(2k-1)$ . Choose the correct equivalent expression: (A) $2k-13$ , (B) $8k-13$ , (C) $2k+13$ , (D) $2k-7$ .

See Solution

Problem 27776

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Provide your answer as an interval using "oo" for $\infty$ .

See Solution

Problem 27777

If 1585 plasma TVs are sold and the ratio of flatscreen to plasma TVs is 3:5, how many flatscreen TVs were sold?

See Solution

Problem 27778

Solve the inequality: $\frac{6}{2}+a \leq \frac{19}{12}$ . Enter the answer as an interval using "oo" for $\infty$ .

See Solution

Problem 27779

Simplify the expression: $-r + 8(-5r - 2)$ . Choose the equivalent expression from the options provided.

See Solution

Problem 27780

Find the $y$ -intercept of the line with point $(2,-6)$ and slope $-\frac{3}{2}$ .

See Solution

Problem 27781

Simplify the expression $\left[a^{4}-4 a^{2}+4\right]^{\frac{1}{2}}$ .

See Solution

Problem 27782

Solve the equation $x^{2}+4x-5=-x+1$ .

See Solution

Problem 27783

Solve the inequality -4|x+4|-2<-10 and express your solution in interval notation.

See Solution

Problem 27784

Solve the inequality: $-3|x+5|-5<-11$ . Provide the solution in interval notation.

See Solution

Problem 27785

Does the equation $x = y^{2} + 15$ define $y$ as a function of $x$ ? Choose A, B, C, or D.

See Solution

Problem 27786

Find the domain of the function $f(x) = 7x$ .

See Solution

Problem 27787

Find the first three terms of the sequence given by $a_{n}=11-3(n-1)$ .

See Solution

Problem 27788

Solve the equation $2 x^{2}-x-1=2 x+1$ .

See Solution

Problem 27789

Does the function $f(x)=x^{3}-5 x^{2}+15 x-8$ have a zero in the interval $[0,1]$ ? Justify your answer.

See Solution

Problem 27790

Find which expression equals $\frac{1}{16}$ : $\left(\frac{1}{8}\right)^{2}$ , $\left(\frac{1}{4}\right)^{4}$ , or $\left(\frac{1}{2}\right)^{4}$ .

See Solution

Problem 27791

If $40\%$ of $a$ equals $80\%$ of $b$ , find what percent of $b$ is $a$ . A) $20\%$ B) $50\%$ C) $100\%$

See Solution

Problem 27792

Find the first three terms of the sequence defined by $a_{n}=15-2(n-1)$ .

See Solution

Problem 27793

Write the linear equation $y=7 x-2$ in function notation.

See Solution

Problem 27794

Nick paid \ $68.25 for a coat with a$ 5\%$ sales tax. What was the original price before tax?

See Solution

Problem 27795

Convert the equation $y=7 x-2$ into function notation.

See Solution

Problem 27796

Find the first three terms of the sequence defined by $a_{n}=12-2(n-1)$ .

See Solution

Problem 27797

A soccer team won $45\%$ , lost $40\%$ , and tied 3 times. Find the total number of games played.

See Solution

Problem 27798

Celeste read $x$ books. One-third of $x$ plus 4 equals 8. Find $x$ .

See Solution

Problem 27799

A soccer team won 45%, lost 40%, and tied 3 times. How many total games did it play? A) 8 B) 9 C) 17 D) 20

See Solution

Problem 27800

Matt wrote 7 book reports, which is 5 more than half required. How many reports are needed? $M=7 \quad H=$ half

See Solution

1 ...275 276 277 278 279 280 281 ...313

Algebra

Problem 27701

Check if each value of vvv satisfies the inequality −5+8v≥−69-5 + 8v \geq -69−5+8v≥−69.

Problem 27702

Simplify the difference quotient for f(x)=3x+7f(x)= 3x + 7f(x)=3x+7: f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​, where h≠0h \neq 0h=0.

Problem 27703

Check if each value of vvv (9, 6, -4, 4) satisfies the inequality 2v+1<132v + 1 < 132v+1<13.

Problem 27704

Solve the inequalities: (a) 4(7−u)+6u<104(7-u)+6u<104(7−u)+6u<10; (b) −2(v+5)+21≥2(6−v)-2(v+5)+21 \geq 2(6-v)−2(v+5)+21≥2(6−v). Identify solutions.

Problem 27705

Solve the inequality 5(7v+6)≥35v+305(7 v+6) \geq 35 v+305(7v+6)≥35v+30. What are the possible values for vvv?

Problem 27706

Solve the inequality −2(y+5)+21>2(7−y)-2(y+5)+21>2(7-y)−2(y+5)+21>2(7−y). What are the possible values for yyy?

Problem 27707

Solve the inequality −2(v+5)+21≥2(6−v)-2(v+5)+21 \geq 2(6-v)−2(v+5)+21≥2(6−v). What are the possible values for vvv?

Problem 27708

Solve the inequality 5(4−u)+5u<165(4-u)+5u<165(4−u)+5u<16. What are the possible values for uuu?

Problem 27709

Calculate the cost to drive 150 miles at 23 mpg with gas at 327 cents/gal. Find the formula C(m,g,d)C(m, g, d)C(m,g,d). Then, find cost for 188 miles at 28 mpg and \$3.77/gal.

Problem 27710

Solve the inequality 4(5x+3)≤18x+304(5 x+3) \leq 18 x+304(5x+3)≤18x+30. What are the possible values for xxx?

Problem 27711

Calculate the cost to drive 150 miles with 23 mpg and gas at 327 cents/gallon. Also, find the cost formula C(m,g,d)C(m, g, d)C(m,g,d). Then, use it for 28 mpg over 188 miles at \$3.77/gallon.

Problem 27712

Courri's new salary is \$2754 after a 2% raise. What was his salary before the raise? Round to the nearest penny.

Problem 27713

A man has stock worth \$2800. It drops by 8% and then gains 8% back. What is the stock's value after two days?

Problem 27714

Joyce paid \$49.50 for an item that was 45% off. Find the original price.

Problem 27715

Pedro's monthly salary is now \$1919 after a 1% raise. What was his salary before the raise?

Problem 27716

Determine the slope and yyy-intercept of the line given by y=−8x−11y=-8 x-11y=−8x−11. What is the slope?

Problem 27717

Find the slope for each pair of points: (4,7) & (8,10), (2,1) & (3,4), etc., and determine line behavior.

Problem 27718

Find the slope and equations of the line through points (6,7)(6,7)(6,7) and (13,11)(13,11)(13,11). (A) Slope: m=□m=\squarem=□ (integer or simplified fraction). B. Slope not defined.

Problem 27719

Solve for xxx in the equation F(12)=2x+4F(12) = 2x + 4F(12)=2x+4.

Problem 27720

Solve for xxx in the equation ln⁡2(x+1)−ln⁡2(x−1)=ln⁡28\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8ln2​(x+1)−ln2​(x−1)=ln2​8.

Problem 27721

Find the slope and equations of the line through points (6,1)(6,1)(6,1) and (10,6)(10,6)(10,6). (A) Slope: A. m=□m=\squarem=□ or B. Not defined. (B) Point-slope form. (C) Slope-intercept form. (D) Standard form.

Problem 27722

Determine the empirical formula of a metal sulfide formed from 8.741 g of iron and 13.76 g of sulfide. Enter as Fe, S.

Problem 27723

Calculate the dihydrogen production rate in kg/s from 133 L/s of methane at 249 °C and 0.68 atm. Round to 2 sig. digits.

Problem 27724

A 7.021 g sample of manganese reacts with excess chlorine to form a 16.08 g metal chloride. Find the empirical formula: Mn,Cl\mathrm{Mn}, \mathrm{Cl}Mn,Cl.

Problem 27725

Find the maximum value of f(x)=400x−11x2−3f(x)=400 x-11 x^{2}-3f(x)=400x−11x2−3 graphically, rounded to four decimal places.

Problem 27726

A plant makes 50 clubs for \4863and70clubsfor$6163.Findcostfunction4863 and 70 clubs for \$6163. Find cost function 4863and70clubsfor$6163.Findcostfunction\mathrm{C}(x)andgraphitfor and graph it for andgraphitfor0 \leq x \leq 200$. Interpret slope and intercept.

Problem 27727

A truck travels 50 mph. At 6:00 A.M., a car leaves 30 mins later. It catches the truck at 8:00 A.M. Find the car's speed in mph.

Problem 27728

Find the molecular formula of PNBr2\mathrm{PNBr}_{2}PNBr2​ with a molecular weight of 204.8 amu using atomic masses of P, N, Br.

Problem 27729

Solve for the number where 4x+6=x−94x + 6 = x - 94x+6=x−9.

Problem 27730

Find when the rainbow smelt (y1=−19.76x+227y_{1}=-19.76x+227y1​=−19.76x+227) and bloater fish populations (y2=−92.57x+1052y_{2}=-92.57x+1052y2​=−92.57x+1052) are equal.

Problem 27731

Bart needs to average 70%70\%70% in his math class with five tests. He scored 41,50,49,4341, 50, 49, 4341,50,49,43 on the first four tests. What scores on test five will cause him to fail?

Problem 27732

Determine if the function g(x)=−4x5+5x3g(x)=-4 x^{5}+5 x^{3}g(x)=−4x5+5x3 is even, odd, or neither.

Problem 27733

Find the constant xxx in the equation H=xvAH=x \frac{v}{A}H=xAv​ from v=74AHv=\frac{7}{4} A Hv=47​AH.

Problem 27734

If x=5x = 5x=5, find the value of 6x6x6x, 5x5x5x, 30x30x30x, and R30R^{30}R30.

Problem 27735

Problem 27736

Factor the expression 36x3+21x2+3x36 x^{3}+21 x^{2}+3 x36x3+21x2+3x as ax(bx+1)(cx+1)a x(b x+1)(c x+1)ax(bx+1)(cx+1) with b>cb>cb>c. Find the value of ccc.

Problem 27737

Find the selling price of a couch bought for \$113.00 with a 45% markup. What is the price?

Problem 27738

What price should Jessica's Furniture Store sell a couch bought for \$113.00 with a 45% markup?

Problem 27739

Landen spent LLL hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A L−115LL-\frac{1}{15} LL−151​L B L(1−0.15)L(1-0.15)L(1−0.15) C 0.15L0.15 L0.15L D L−15100L-\frac{15}{100}L−10015​ E L−320LL-\frac{3}{20} LL−203​L

Problem 27740

Landen spent LLL hours at the beach. Matéo spent 15% fewer hours. Which expressions represent Matéo's hours? Choose 2: A) L−115LL-\frac{1}{15} LL−151​L, B) L(1−0.15)L(1-0.15)L(1−0.15), C) 0.15L0.15 L0.15L, D) L−15100L-\frac{15}{100}L−10015​, E) L−320LL-\frac{3}{20} LL−203​L.

Check if each value of $v$ satisfies the inequality $-5 + 8v \geq -69$ .

Simplify the difference quotient for $f(x)= 3x + 7$ : $\frac{f(x+h)-f(x)}{h}$ , where $h \neq 0$ .

Check if each value of $v$ (9, 6, -4, 4) satisfies the inequality $2v + 1 < 13$ .

Solve the inequalities: (a) $4(7-u)+6u<10$ ; (b) $-2(v+5)+21 \geq 2(6-v)$ . Identify solutions.

Solve the inequality $5(7 v+6) \geq 35 v+30$ . What are the possible values for $v$ ?

Solve the inequality $-2(y+5)+21>2(7-y)$ . What are the possible values for $y$ ?

Solve the inequality $-2(v+5)+21 \geq 2(6-v)$ . What are the possible values for $v$ ?

Solve the inequality $5(4-u)+5u<16$ . What are the possible values for $u$ ?

Calculate the cost to drive 150 miles at 23 mpg with gas at 327 cents/gal. Find the formula $C(m, g, d)$ . Then, find cost for 188 miles at 28 mpg and \$3.77/gal.

Solve the inequality $4(5 x+3) \leq 18 x+30$ . What are the possible values for $x$ ?

Calculate the cost to drive 150 miles with 23 mpg and gas at 327 cents/gallon. Also, find the cost formula $C(m, g, d)$ . Then, use it for 28 mpg over 188 miles at \$3.77/gallon.

Determine the slope and $y$ -intercept of the line given by $y=-8 x-11$ . What is the slope?

Find the slope and equations of the line through points $(6,7)$ and $(13,11)$ .
(A) Slope: $m=\square$ (integer or simplified fraction). B. Slope not defined.

Solve for $x$ in the equation $F(12) = 2x + 4$ .

Solve for $x$ in the equation $\ln _{2}(x+1)-\ln _{2}(x-1)=\ln _{2} 8$ .

Find the slope and equations of the line through points $(6,1)$ and $(10,6)$ .
(A) Slope: A. $m=\square$ or B. Not defined.
(B) Point-slope form.
(C) Slope-intercept form.
(D) Standard form.

A 7.021 g sample of manganese reacts with excess chlorine to form a 16.08 g metal chloride. Find the empirical formula: $\mathrm{Mn}, \mathrm{Cl}$ .

Find the maximum value of $f(x)=400 x-11 x^{2}-3$ graphically, rounded to four decimal places.

A plant makes 50 clubs for \ $4863 and 70 clubs for \$6163. Find cost function$ \mathrm{C}(x) $and graph it for$ 0 \leq x \leq 200$. Interpret slope and intercept.

Find the molecular formula of $\mathrm{PNBr}_{2}$ with a molecular weight of 204.8 amu using atomic masses of P, N, Br.

Solve for the number where $4x + 6 = x - 9$ .

Find when the rainbow smelt ( $y_{1}=-19.76x+227$ ) and bloater fish populations ( $y_{2}=-92.57x+1052$ ) are equal.

Bart needs to average $70\%$ in his math class with five tests. He scored $41, 50, 49, 43$ on the first four tests. What scores on test five will cause him to fail?

Determine if the function $g(x)=-4 x^{5}+5 x^{3}$ is even, odd, or neither.

Find the constant $x$ in the equation $H=x \frac{v}{A}$ from $v=\frac{7}{4} A H$ .

If $x = 5$ , find the value of $6x$ , $5x$ , $30x$ , and $R^{30}$ .

Factor the expression $36 x^{3}+21 x^{2}+3 x$ as $a x(b x+1)(c x+1)$ with $b>c$ . Find the value of $c$ .

Landen spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions show Matéo's hours? Choose 2: A $L-\frac{1}{15} L$ B $L(1-0.15)$ C $0.15 L$ D $L-\frac{15}{100}$ E $L-\frac{3}{20} L$

Landen spent $L$ hours at the beach. Matéo spent 15% fewer hours. Which expressions represent Matéo's hours? Choose 2: A) $L-\frac{1}{15} L$ , B) $L(1-0.15)$ , C) $0.15 L$ , D) $L-\frac{15}{100}$ , E) $L-\frac{3}{20} L$ .

Find where the lines $y = x - 3$ and $y = 3x^2$ intersect.

Rewrite the equations in slope-intercept form, find the slope and y-intercept, and graph them. 59. $3x + y - 5 = 0$ 60. $4x + y - 6 = 0$ 61. $2x + 3y - 18 = 0$ 62. $4x + 6y + 12 = 0$

Casey pays $\$ 0.72$ in sales tax at $6\%$ . What was the original price of the bracelet before tax?

Find the values of $x \in \mathbb{R}$ for which $f(x)=\frac{x^{2}+1}{x-1}$ is defined and continuous (in interval notation).

Find the values of $x \in \mathbb{R}$ for which $f(x)=\ln (x+1)$ is defined and continuous (interval notation).

Bacteria area doubles hourly.
a. Graph this situation. b. Is the model linear or exponential, discrete or continuous?

Find where the function $f(x)=\sqrt{4x+16}$ is continuous and express the $\mathrm{x}$ -values in interval notation.

Find the intersection of the curves $y=2x^2+3$ and $y=-x+6$ .

Brick layers increase bricks by $5\%$ daily.
a. Graph the situation.
b. Determine if the model is linear or exponential and if growth is discrete or continuous.

Find the intersection points of the lines $y=3-x$ and $y=-x^{2}+2x+3$ .

Find the value of $a$ for which $f(x)$ is continuous at all $x$ :
$f(x)=\begin{cases} x^{2}-99, & x<11 \\ 2 a x, & x \geq 11 \end{cases}$
Options: A. $a=$ B. No solution.

Find the value of $x$ in $g = x \sqrt{p}$ if $p = \frac{2 g^{2}}{50}$ .

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ for $x$ .

Solve the equation $-0.0015 x^{2} + x + 2 = 0$ .

How many grams of fluorine ( $\mathrm{F}_{2}$ ) are needed for 3.25 moles of carbon tetrafluoride ( $\mathrm{CF}_{4}$ )? Molar mass of $\mathrm{F}_{2}$ is 38.00 g/mol. [?] g $\mathrm{F}_{2}$

A fungus grows exponentially then linearly. Given $R(t)$ , find $R(t_c)$ for continuity and graph $R(t)$ if $t_c=2$ .

Model the fungus growth rate $R(t)$ as $R(t)=\{2 e^{t}, 0 \leq t \leq t_{c}; a, t>t_{c}\}$ . Find $a$ for continuity at $t=t_{c}$ .

Find values of the linear function $f(x)=x$ for $x = -2, -1, 0, 1, 2$ .

Express the set $-6<x \leq-1$ in interval notation.

Solve for $x$ in the inequality $3 < -11(x+4) \leq -7$ . Answer in interval notation or type DNE if no solution exists.

Solve the inequality: $-11-8x \leq 12+8x$ . Enter your answer as an interval, like $[a, oo)$ .

Solve the inequality: $\frac{9}{3}+b<\frac{35}{27}$ . Enter your answer as an interval using "oo" for $\infty$ .

Solve the inequality $|4x + 3| < 8$ and express your solution in interval notation.

Solve the inequality $\left|\frac{x+21}{7}\right|>1$ and express the solution as an interval.

Find $y$ for the line through points $(3, y)$ and $(1, 4)$ with slope $m = -3$ .

Calculate the time for the concentration of $\mathrm{NH}_{3}$ (0.410 M) to decrease by 76% with a rate constant of $0.0242 \mathrm{~s}^{-1}$ . Round to 2 significant digits.

Solve the inequality: $-4|x-1|-3 \leq-23$ . Provide the solution in interval notation.

Simplify the expression: $3n + 2(-2n - 1)$ . Choose the equivalent expression: (A) $-n + 2$ , (B) $n + 2$ , (C) $-n - 2$ , (D) $n - 2$ .

Simplify the expression: $-4(z+3)-4(5-4 z)$ . Choose the correct equivalent expression from the options.