QuestionFind $d(5.5)$ for the function $d(x)=-2\left|x^{2}-3.6\right|$ .

Studdy Solution

STEP 1

Assumptions1. The function is given as $d(x)=-\left|x^{}-3.6\right|$ We are asked to find the value of the function at $x=5.5$

STEP 2

First, we need to substitute the given value of $x$ into the function. $d(5.5) = -2\left|(5.5)^{2}-.6\right|$

STEP 3

Calculate the value inside the absolute value function.
$(5.5)^{2}-3.6 =30.25 -3.6$

STEP 4

Subtract to find the result.
$30.25 -3.6 =26.65$

STEP 5

Now, we need to take the absolute value of this result.
$\left|26.65\right| =26.65$

STEP 6

Finally, multiply this result by -2 to find the value of the function at $x=5.5$ .
$d(5.5) = -2 \times26.65$

STEP 7

Calculate the final result.
$d(5.5) = -2 \times26.65 = -53.3$ So, the value of the function $d(x)$ at $x=5.5$ is $-53.3$ .

Was this helpful?

QuestionFind $d(5.5)$ for the function $d(x)=-2\left|x^{2}-3.6\right|$ .

Studdy Solution

STEP 1

Assumptions1. The function is given as $d(x)=-\left|x^{}-3.6\right|$ We are asked to find the value of the function at $x=5.5$

STEP 2

First, we need to substitute the given value of $x$ into the function. $d(5.5) = -2\left|(5.5)^{2}-.6\right|$

STEP 3

Calculate the value inside the absolute value function.
$(5.5)^{2}-3.6 =30.25 -3.6$

STEP 4

Subtract to find the result.
$30.25 -3.6 =26.65$

STEP 5

Now, we need to take the absolute value of this result.
$\left|26.65\right| =26.65$

STEP 6

Finally, multiply this result by -2 to find the value of the function at $x=5.5$ .
$d(5.5) = -2 \times26.65$

STEP 7

Calculate the final result.
$d(5.5) = -2 \times26.65 = -53.3$ So, the value of the function $d(x)$ at $x=5.5$ is $-53.3$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind d(5.5)d(5.5)d(5.5) for the function d(x)=−2∣x2−3.6∣d(x)=-2\left|x^{2}-3.6\right|d(x)=−2∣∣​x2−3.6∣∣​.

Studdy Solution

STEP 1

Assumptions1. The function is given as d(x)=−∣x−3.6∣d(x)=-\left|x^{}-3.6\right|d(x)=−∣x−3.6∣ We are asked to find the value of the function at x=5.5x=5.5x=5.5

STEP 2

First, we need to substitute the given value of xxx into the function.d(5.5)=−2∣(5.5)2−.6∣d(5.5) = -2\left|(5.5)^{2}-.6\right|d(5.5)=−2∣∣​(5.5)2−.6∣∣​

STEP 3

Calculate the value inside the absolute value function.(5.5)2−3.6=30.25−3.6(5.5)^{2}-3.6 =30.25 -3.6(5.5)2−3.6=30.25−3.6

STEP 4

Subtract to find the result.30.25−3.6=26.6530.25 -3.6 =26.6530.25−3.6=26.65

STEP 5

Now, we need to take the absolute value of this result.∣26.65∣=26.65\left|26.65\right| =26.65∣26.65∣=26.65

STEP 6

Finally, multiply this result by -2 to find the value of the function at x=5.5x=5.5x=5.5.d(5.5)=−2×26.65d(5.5) = -2 \times26.65d(5.5)=−2×26.65

STEP 7

Calculate the final result.d(5.5)=−2×26.65=−53.3d(5.5) = -2 \times26.65 = -53.3d(5.5)=−2×26.65=−53.3So, the value of the function d(x)d(x)d(x) at x=5.5x=5.5x=5.5 is −53.3-53.3−53.3.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind $d(5.5)$ for the function $d(x)=-2\left|x^{2}-3.6\right|$ .

Assumptions1. The function is given as $d(x)=-\left|x^{}-3.6\right|$ We are asked to find the value of the function at $x=5.5$

First, we need to substitute the given value of $x$ into the function. $d(5.5) = -2\left|(5.5)^{2}-.6\right|$

Calculate the value inside the absolute value function.
$(5.5)^{2}-3.6 =30.25 -3.6$

Subtract to find the result.
$30.25 -3.6 =26.65$

Now, we need to take the absolute value of this result.
$\left|26.65\right| =26.65$

Finally, multiply this result by -2 to find the value of the function at $x=5.5$ .
$d(5.5) = -2 \times26.65$

Calculate the final result.
$d(5.5) = -2 \times26.65 = -53.3$ So, the value of the function $d(x)$ at $x=5.5$ is $-53.3$ .