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Harlamova29_29 [7]
3 years ago
5

Which is the correct answer?

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Step-by-step explanation:

y = x² - 16

x² = y + 16

x = sqrt(y + 16) because x is non-negative.

Hence the inverse function is f^(-1)(x) = sqrt(x + 16). (A)

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Can someone help me please!!!
STALIN [3.7K]

9514 1404 393

Answer:

  1.048

Step-by-step explanation:

The generic form of the exponential model is ...

  y = a·b^x

Filling in the given values, we have ...

  100 = a·b^6

  184 = a·b^19

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Dividing the second equation by the first gives ...

  184/100 = (a·b^19)/(a·b^6)

  1.84 = b^13 . . . . . simplify

  b = 1.84^(1/13) ≈ 1.048022 . . . . find the 13th root

The growth factor is about 1.048.

8 0
3 years ago
Help for 10 points!!
dem82 [27]

The plus sign means that we have to sum all the terms inside of the second parenthesis, while the minus sign means that we have to change all the signs inside the last parenthesis:

(3x+5)+(2x-9)-(4x+3)=3x+5+2x-9-4x-3

Now we only have to gather all like terms:

3x+2x-4x+5-9-3 = (3+2-4)x+(5-9-3)=x-7

8 0
4 years ago
Write an equation in the variables x and y for the line that passes through the point (4, 7) and that is perpendicular to the li
Brrunno [24]

First of all, we need to find the slope of the given line, writing it in the y=mx+q form and reading the m coefficient:

2x + 2y = 14 \iff 2y = -2x + 14 \iff y = -x+7

So, the slope is -1

If a line with slope m' is perpendicular to a line with slope m, the following relationship holds:

mm' = -1

So, the slope of our line must satisfy

m(-1) = -1 \iff m=1

So, we need the equation of a line with slope 1 and passing through (4,7). Given the slope m and a point (x_0,y_0) of a given line, its equation is given by

y-y_0 = m(x-x_0)

So, if you plug your values, you have

y-7=1\cdot(x-4) \iff y = x+3

8 0
3 years ago
What is the circumference and area
kvv77 [185]
The circumference is 12.56cm and the area is 12.56cm
3 0
3 years ago
A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour.
Aleksandr-060686 [28]

Answer:

Here is a generic way to set up this type of algebra problem.

d = total amount of dirt at the site (tons)

r = rate or removal (tons/hr)

t = time it takes to remove all of the dirt (hr)

d = rt

The total amount of dirt equals the removal rate times hours spent removing all the dirt.

Since you want to solve for t, divide both sides by r

t = d/r

8 0
3 years ago
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