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2 years ago

Write g(x)=40x+4x2 in vertex form

Mathematics

1 answer:

Lana71 [14]2 years ago

8 0

G(x)=40x+4x2= -100 the vertex form is (-5,-100)

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It's a multiple choice question

andriy [413]

To make sure we don't have negatives under the square root, we specify that $x \ge 0$ (x is greater than or equal to 0). We'll use this fact later on

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Start with the given inequality $\sqrt{x} \le 7$ and square both sides to get $x \le 49$ . Couple this with the fact that $x \ge 0$ means we have this compound inequality $0 \le x \le 49$

What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values 49, 48 and 44

Answers: Choice C, Choice D, Choice E

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4 years ago

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Solve for x (6/5) x-4=46

alukav5142 [94]

(6/5) x - 4 = 46

Add 4 to both sides

(6/5)x = 50

To get rid of (6/5) multiply the inverse number by both sides. Inverse number is (5/6)

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3 years ago

Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the s

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Number 1 wants you to set up proportions so four numbers equal to 2/1 would be: 6/3 8/4 10/5 12/6, and so on. I'm not sure what they're asking when they say the sum of the first two numbers is equal to 4.8

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3 years ago

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The circumference of a circular garden is 138.16 feet. What is the radius of the garden? Use 3.14 for it and do not round your a

kobusy [5.1K]

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11 feet

Step-by-step explanation:

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3 years ago

A candle on pauline’s dresser is 10 inches tall and burns at a rate of 0.75 inches per hour. how many hours will it take for the

Natalija [7]

Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:

h(t) = 10 - 0.75t

The height will be of 0.25 inches when h(t) = 0.25, hence:

0.25 = 10 - 0.75t

0.75t = 9.75

t = 9.75/0.75

t = 13 hours.

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago