In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?

Lerok [7]

The equation that represents the given data is $\RM \\f(x) = -\sqrt[3]{-x} ,$ Option D is the correct answer.

<h3>What is a Function ?</h3>

It is a statement where two variables , one dependent and one independent are related.

It is given that

a cube root function goes through (8, 2), has an inflection point at (0, negative 1), and goes through (8, negative 3).

The equation given in the options are

$\rm f(x) = -\sqrt[3]{x} \\f(x) = -\sqrt[3]{x-1} \\f(x ) =-\sqrt[3]{-x} -1 \\f(x) = -\sqrt[3]{-x}$

The function goes through (8,2)

Substituting the values

f(x) = -2

f(x) = $\sqrt[3]{7}$

f(x) = -3

f(x) = 2

The equation that represents the given data is

$\RM \\f(x) = -\sqrt[3]{-x} ,$ Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

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6 0

2 years ago

Please heeelp !! <br> Missing triangles !!

Airida [17]

Answer: ABC seem to be equilateral

so A=B=C=60

D=42

E=35

F=35

G=55

H=45

I=45

j=15

k=15

L=75

M=180

N=11

O=35

P=11

Q=55

R=55

S=32

T=32

U=69

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to

Misha Larkins [42]

Answer:

The equation to determine the length is $4w+2w=48$ .

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = $48\ ft$

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

$l=2w$ ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

$2(l+w)=48$ ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

$2(2w+w)=48$

Applying Distributive property we get;

$2\times2w+2\times w=48\\\\4w+2w=48$

Hence, The equation to determine the length is $4w+2w=48$ .

On Solving the above equation we get;

$4w+2w=48\\\\6w=48$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft$

Now Substituting the value of 'w' in equation 1 we get;

$l=2w=2\times8=16\ ft$

Hence The Length of the exercise mat is 16 feet.

3 0

3 years ago

Will mark as brainliest if correct

Dvinal [7]

5= 7 ^x
X=ln5/ln7
X=0.827

5 0

3 years ago

Solve x^2 – 8x + 41 = 0 for x.

icang [17]

<span> $\displaystyle x^2 - 8x + 41 = 0 \\\\ \Delta=b^2-4ac \\ \Delta=(-8)^2-4\cdot1\cdot41 \\ \Delta=64-164 \\ \Delta=-100 \\ \\ X_{1,2}= \frac{-b\pm i \sqrt{-\Delta} }{2a} = \frac{8 \pm 10i}{2} \\ \\ X1=4-5i \\ \\ X2=4+5i$ </span>

5 0

3 years ago