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Tema [17]
3 years ago
10

Apply the distributive property to create an equivalent expression. 7(4p + 2q + 3r) =?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

The equivalent expression is 28p+14q+21r

Step-by-step explanation:

The distributive property says for any numbers <em>a, b c</em>, and <em>d</em>

d*(a+b+c)=a*d+b*d+c*d

which basically says you should multiply the coefficient d by every term in the parenthesis to get an equivalent expression.

Applying the distributive proper to the expression 7(4p+2q+3r) we get:

7(4p+2q+3r)=7*4p+7*2q+7*3r

=\boxed{28p+14q+21r}

which is an equivalent expression to 7(4p+2q+3r).

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What is the shape of this distribution?
PolarNik [594]

Answer:

A

Step-by-step explanation:

It is not E because it is not symmetric. It is not uniform because that is a rectangular looking distributiom. (not D)

It is not C or B because it is not unimodal. Unimodal means there is one mode (or one column that is the highest) I beleieve this one is A because it has to modes at 1 and 10

8 0
3 years ago
What is the answer of 11 6/9 - 4 4/9
IrinaK [193]

Answer:

7  \frac{2}{9}

Step-by-step explanation:

here is your answer

Calculation steps:

11  \frac{6}{9}   - 4 \frac{4}{9}

= (14 - 4)  + ( \frac{6}{9}  -  \frac{4}{9} )

= 7 +  \frac{6 - 4}{9}

=  7 +  \frac{2}{9}

7  \frac{2}{9}

4 0
2 years ago
Read 2 more answers
I need help on this loll
Serhud [2]

Answer: The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)

If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)

If the point (x , y) translated vertically up by k units  then its image is (x , y + k)

If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

3 0
2 years ago
If f(x) = x and g(x) = 2, what is (f o g)(x)?<br> 2x<br> 2<br> x + 2<br> x/2
arlik [135]
(f \circ g)(x)=2
8 0
3 years ago
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
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