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3 years ago

My mom needs help it's negative exponets it's 5x^-3y^4)^-3 Please explain step by step my mom has the chest sheet

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

x^9

----------------

125 y^12

Step-by-step explanation:

(5x^-3 y^4)^-3

We know that (ab)^c can be split into a^ * b^c

5^-3 *x^-3 ^-3* y^4 ^-3

We also know that a^b^c = a^ (b*c)

5^-3 *x^(-3 *-3) * y^(4 *-3)

5^-3 *x^(9) * y^(-12)

We know that negative exponents in the numerator move it to the denominator. The exponent stays the same except for the negative.

1/5^3 * x^9 * 1/ y^12

We know that 5^3 = 125

Rearranging the order

x^9

----------------

125 y^12

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A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.

torisob [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(1,-4)

substitute

$y=a(x-1)^{2}-4$

we have

An x-intercept of (-1,0)

substitute and solve for a

$0=a(-1-1)^{2}-4$

$0=4a-4$

$4a=4$

$a=1$

The equation is

$y=(x-1)^{2}-4$

<u><em>Verify the y-intercept</em></u>

For x=0

$y=(0-1)^{2}-4$

$y=-3$

The y-intercept is the point (0,-3) -----> is correct

using a graphing tool

see the attached figure

4 0

3 years ago

PLEASE HELP ME IM RUNNING LOW ON TIME

arlik [135]

Answer:

$1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you$

5 0

3 years ago

WILL MARK U AS BRAINLIEST HELP PLEASE

devlian [24]

Answer:

Cholula

Step-by-step explanation:

first find the vlumes of the different pyramids:

FORMULA:

volume = (1/3) * basearea

Cholula- 157,583,664

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8 0

3 years ago

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May someone please help me!!! Please don’t answer wrong this is really important for a test :( and also PLEASE don’t answer with

mars1129 [50]

Answer:

7^8

Step-by-step explanation:

when multiplying exponents with the same base, you add the exponents together to get your answer. you can even check it with a calculator.

6 0

3 years ago

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What is the value of x in the equation, 70 = 12 + 9x – 2(x + 6)

lesantik [10]

<h3>Solution :-</h3>

➩ 70 = 12 + 9x - 2 ( x + 6 )

➩ 70 = 12 + 9x - 2x - 12

➩ 70 = 0 + 7x

➩ 70 = 7x

Here we can use 2 methods

Methods :-

Trial and error method :- By adding,subtracting , multiplying or dividing the same variable or constant on LHS & RHS
Transposing :- by transposing a term from LHS to RHS or RHS to LHS

• Trial and error

By dividing with 7 on both sides

➩ 70/7 = 7x/7

➩ x = 10

• Transposing

By transposing 7 from RHS. to LHS

➩ 70/7 = x

➩ x = 10

Hence , x = 10

6 0

3 years ago

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