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Furkat [3]
3 years ago
8

Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4(\frac{-2}{5})-4(3x)

=8/5-12x. This is your answer!

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What number would you add to the equation below to complete the square?x2 + 4x = 0?
julia-pushkina [17]
------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4 

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = \pm √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = \pm 2

------------------------------------------------------------------
Solve x 
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------



7 0
4 years ago
4/r ​ = 5/7 need help please
Annette [7]
The answer to the question is

5r= 28

r= 28/5
7 0
3 years ago
2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
egoroff_w [7]
A. 4 city b 6

B. City a, 8, when rounded 10
City b, 12, when rounded 10

C. City A. 2, 3.5, 4, 4, 5.5, 5..... so it's 4
City B. 3.5, 4, 5, 5.5, 6, 6..... so it's 5.25

Sorry if this all wrong. I'm bad at this kind of stuff lol
Good luck
4 0
3 years ago
Read 2 more answers
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.
Mandarinka [93]

Answer:

Then the answer is option a  

a. 0<x \leq10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= 2(x) + 2(2.5x)

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

2x + 2(2.5x) + 60 \leq  130

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a  

a. 0<x≤10

3 0
3 years ago
1=10^0 into logarithmic form
Tatiana [17]

Answer:

0 = log_{10} 1

Step-by-step explanation:

Base for the exponent and for the logarithm are the same!

10^0 is the <u>exponential</u> form where 10 is the base and 0 the exponent

log_{10} 1 is the l<u>ogarithm</u> form where 10 is the base

To solve log_{10} 1 =   ask the question :

To what power should I raise the base 10 to obtain the number 1 ?

The answer to the power 0 therefore

log_{10} 1 = 0

1 = 10^{0}   -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form

7 0
3 years ago
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