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2 years ago

6

Zoey goes to a store an buys an item that costs x dollars. She has a coupon for 15% off, and then a 9% tax is added to the disco

unted price. Write an expression in terms of x that represents the total amount that Zoey paid at the register.

1 answer:

Mashutka [201]2 years ago

8 0

Answer:

Step-by-step explanation:

45

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Which expression is equivalent to 15a^8b^4/5a^4b?<br> 3a^2b^4<br> 3a^4b^3<br> 10a^4b^3<br> 10a^4b^4

EleoNora [17]

Answer:

3 a^12 b^5

Step-by-step explanation:

Simplify the following:

(15 a^8 b^4 a^4 b)/5

15/5 = (5×3)/5 = 3:

3 a^8 b^4 a^4 b

3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):

3 a^(8 + 4) b^(4 + 1)

4 + 1 = 5:

3 a^(8 + 4) b^5

8 + 4 = 12:

Answer: 3 a^12 b^5

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3 years ago

For options A– E choose all of the expressions that are equivalent to 3(4x + 3).

Katen [24]

3(4x+3) = 12x + 9
A= 3(4x+1)
B= 9 + 12x
C= 7x + 6
D= 12x + 9
E= 12x + 9

Answer: D, E

Hope This Helps✨

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2 years ago

Plz help HW<br> plz help HW<br> plz help HW

jarptica [38.1K]

Answer:

55°, 70°, 55°

Step-by-step explanation:

<u>Δ MHP is right triangle, therefore</u>

m∠P = 90° - 35° = 55°

<u>ΔMNP is isosceles triangle as MN = MP, therefore</u>

m∠N = m∠P = 55°

m∠NMP = 180° - 2*55° = 70°

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2 years ago

The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?

Andrei [34K]

ANSWER:

Circumference= 37.7

Area= 113.1

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2 years ago

Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3

Andreas93 [3]

$\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx$

$=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx$

By the power rule,

$=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C$

(this seems to be the step you're not getting?)

$=\dfrac23x^{3/2}+2x^{1/2}+C$

The next step is to pull out a common factor of $x^{1/2}$ from the antiderivative:

$x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1$

so that the final result is

$\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C$

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3 years ago