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2 years ago

8

Write a formula for f(x)=e^x of you apply the following transformations right 1 unit left 10 units vertical compression by a fac

tor of 1/3 reflection over x-axis

1 answer:

Anna11 [10]2 years ago

3 0

Answer:

64

Step-by-step explanation:

answer

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A newly established clothing shop analyzed their monthly profit compared to the amount spent on advertising each month. The foll

Reil [10]

The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.

3 0

2 years ago

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Find the Simple Interest<br> $700 deposited at an interest rate of 1.5% for 3 years

slega [8]

Answer:

$31.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year,

then, solving our equation

I = 700 × 0.015 × 3 = 31.5

I = $ 31.50

The simple interest accumulated

on a principal of $ 700.00

at a rate of 1.5% per year

for 3 years is $ 31.50.

3 0

2 years ago

Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weigh of

viva [34]

Jennifer will get 7 kilograms of carrots.

To solve this, simply divide 28 by 4, which is the total number of people sharing the carrots altogether. You wouldn’t divide the number of carrots, 3, by 4, because that is additional info that is out there to throw you off track. Instead, to find the weight of the carrots that Jennifer would get, you would divide the total weight of the carrots by the people sharing them to get 7 kg.

4 0

2 years ago

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Prime factorization of 43

Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

8 0

2 years ago

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h

Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0

3 years ago