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Paraphin [41]
3 years ago
10

Use the distribution property to simplify the expression 3(x-7)

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{3x - 21}}}}}

Step-by-step explanation:

\sf{3(x - 7)}

Distribute 3 through the parentheses

\dashrightarrow{ \sf{3 \times x - 3 \times 7}}

\dashrightarrow{ \sf{3x - 21}}

Hope I helped!

Best regards! :D

Leya [2.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

21 exposition 3

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Jason is building a 1 : 180 scale model of a real castle. his model has a rectangular base that is 3 feet wide and 4 feet long.w
balu736 [363]
The area of the actual castle would be 388,800 sq. ft.

We would multiply each of the sides of the scale model both by 180 to find the side lengths of the actual castle.

So...
180 x 4 = 720
180 x 3 = 540

If Area is equal to Length Times Width, all thats left to do is to multiply the two sides together.

720 x 540 = 388,800

Hope this helped! :D
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3 years ago
A waffle recipe uses 3 cups for 4 waffles. How much mix would you need to make 12 waffles
erastovalidia [21]
You would need 9 cups

6 0
3 years ago
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Is x^-3-5y^-2 a polynomial
KiRa [710]

Answer:

Yes, it is.

Step-by-step explanation:

A polynomial is a mathematical expression containing two or more terms.

For example, a+b is a polynomial. 2a-23b+c is also a polynomial.

Hope this helps :)

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3 years ago
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SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 68. Find the
xxMikexx [17]
<h3>Given</h3>

Two positive integers x and y

x - y = 4

x² + y = 68

<h3>Find</h3>

x and y

<h3>Solution</h3>

Add the two equations together.

... (x - y) + (x² + y) = (4) + (68)

... x² + x = 72

Rearrange to standard form and factor.

... x² + x - 72 = 0

... (x + 9)(x - 8) = 0

Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.

... x + 9 = 0 ⇒ x = -9

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Then we can find y from

... 8 - y = 4

... y = 4 . . . . . . . add y-4 to the equation

The two positive integers are 8 and 4.

4 0
3 years ago
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