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2 years ago

What is the vertex of the graph of the function f(x)=x^2+8x-2 !?

Mathematics

1 answer:

Viktor [21]2 years ago

3 0

Answer:

(-4, -18).

Step-by-step explanation:

f(x = x^2 + 8x - 2 Completing the square on x^2 + 8x:-

= (x + 4)^2 - 16 - 2

= (x + 4)^2 - 18

- which is the vertex form of f(x)

The vertex of

(x - h)^2 + k is at (h, k)

So the vertex of f(x) is at (-4, -18)

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A serological test is being devised to detect a hypothetical chronic disease. 500 individuals were referred to a laboratory for

andriy [413]

Answer: the predictive value positive of the test is 0.7

Step-by-step explanation:

Given that;

Predicted

Diesease No-Diesease Tt

Actual Diesease 225 75 300

No-Diesease 25 175 200

250 250 500

so finding the predictive value positive of the test,

predictive negative value = (175 / (75+175) )

= 175 / 250

= 0.7

Therefore the predictive value positive of the test is 0.7

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4 years ago

PLease guys help!!! Ice has ________ energy. 1. mechanical 2. cold 3. heat

elena-s [515]

Answer:

ice has kinetic enery

Step-by-step explanation:

Ice has heat energy

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3 years ago

Read 2 more answers

Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover

alexira [117]

Answer: $\frac{A_{collage}}{15.75\ in^2}$

Step-by-step explanation:

Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:

1. You need to use the formula for calculate the area of a rectangle:

$A=lw$

Where "l" is the length and "w" is the width.

2. Using the formula, you must calculate the area of an small picture.

You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:

$A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2$

3. Calculate the area of the collage using the formula:

$A_{collage}=(l_{collage})(w_{collage})$

4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:

$\frac{A_{collage}}{15.75\ in^2}$

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3 years ago

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If there is a maximum of 4,000 hours of labor available per month and 300 ping-pong balls (x1) or 125 wiffle balls (x2) can be p

andrey2020 [161]

Answer:

b. 300x1 + 125x2 < = 4,000

Step-by-step explanation:

Maximum of 4,000 hours

This means that the the total amount of labor has to be of at most 4,000, that is:

$T \leq 4000$