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11111nata11111 [884]
3 years ago
5

20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10

− 20)
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of 10xz   =          2 ×       5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×        y × z

Identify their greatest common factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×     x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

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Pete earns $8.50 per hour plus tips. On Tuesday, he received $16 in tips.
morpeh [17]

Answer:

Pete worked for 4 hours.

Step-by-step explanation:

If you subtract his tips from his overall total (50-16) you get 34. Now you divide what's left of his total by his hourly wage (34/8.5) which gets you 4.

7 0
3 years ago
Select the correct answer
kaheart [24]

Answer:

ANSWER: D

Step-by-step explanation:

5 0
3 years ago
Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3. (1 point)
atroni [7]

the function f(x) = 4(x+3) − 5

Lets find the inverse function f^-1(x)

step 1: Replace f(x) with y

y = 4(x+3) − 5

step 2: Replace x  with y and y with x

x = 4(y+3) - 5

step 3: Solve for y

x = 4(y+3) - 5

x = 4y +12 -5

x= 4y + 7 (subtract 7 on both sides)

x - 7 = 4y (divide by 4 on both sides)

\frac{x-7}{4}=y

f^{-1}(x)=\frac{x-7}{4}

Given : x = 3

We plug in 3 for x in the inverse function

f^{-1}(x)=\frac{3-7}{4} = -1

the inverse function when x = 3  is -1


6 0
3 years ago
Read 2 more answers
Arianna is saving money for college so she invests $1,000 into a savings account that earns interest every year. If the amount i
Verdich [7]

Answer: $1,624

Step-by-step explanation:

The amount after x-years is given as :

9x^{2} + 50x + 1000

Since x represents number of years , this means that after 6 years , the amount will be :

9(6^{2} ) + 50(6) + 1000

⇒9(36) + 300 + 1000

⇒324 + 300 + 1000 =

Therefore, the amount after 6 years will be $1,624

7 0
4 years ago
What are the domain and range of this function? y= (x+3)² - 5
Katarina [22]

Hello!

\bf y = ( x + 3 )^{2} - 5

- Separate the function into parts to determine the domain of each part.

\bf ( x + 3 )^{2} \\ x + 3 \\ 5

- The domain of a polynomial function is the set of all real numbers.

\bf x ∈ ℝ

Domain: ( -∞; ∞ )

\bf y = ( x + 3 )^{2} - 5

- Write the second degree function in standard form.

\bf y = x^{2} + 6x + 4

- Identifies the coefficients a and b of the second degree function.

\bf a = 1, b = 6

- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.

\bf x = -\frac{6}{2×1}

\bf x = -\frac{6}{2}

\bf x = -3

- Calculates the value of the function for x = -3.

\bf y = ( x + 3 )^{2} - 5

\bf y = -5

Range: ( -3; -5 )

Answer: No answer

Good luck! :)

3 0
3 years ago
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