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alexira [117]
3 years ago
15

Combine like terms to create an equivalent expression. 2(1/5m - 2/5) + 3/5 ​

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

2/5m-1/5

Step-by-step explanation:

Alexus [3.1K]3 years ago
5 0

Answer:

\dfrac{2}{5}m-\dfrac{1}{5}

Step-by-step explanation:

First, use the distributive property a\cdot (b-c)=a\cdot b-a\cdot c. Thus,

2\cdot \left(\dfrac{1}{5}m-\dfrac{2}{5}\right)=2\cdot \dfrac{1}{5}m-2\cdot \dfrac{2}{5}=\dfrac{2}{5}m-\dfrac{4}{5}.

Then given expression will take look

\dfrac{2}{5}m-\dfrac{4}{5}+\dfrac{3}{5}.

This expression consists of three terms, one term with m and two terms without m. Combine terms without m:

-\dfrac{4}{5}+\dfrac{3}{5}=-\dfrac{1}{5}.

Therefore, an equivalent expression is

\dfrac{2}{5}m-\dfrac{1}{5}.

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Given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?
Marrrta [24]

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

5 0
4 years ago
Write the equation of a line Parallel to the given line and passes through points (-4, -3); (2, 3). Hints find the slope by usin
julia-pushkina [17]

First, we obtain the gradient (slope) of the first parallel line

\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}

Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

5 0
1 year ago
-1 1/4 + 1/2 <br> A)-1 3/4 <br> B)-1 1/2 <br> C)-3/4 <br> D)-1/2
bearhunter [10]

Answer:

<em>Well, Your best answer will be is </em><em>B. -1 1/2. </em>

<em>Hope That Helps!</em>

^{Itsbrazts}

8 0
3 years ago
The domain of g(x) =(x+1)(2x-5) is (-4,-2,01) what is the range
lions [1.4K]

Answer:

D: {-4, -2, 1}

R: {39, 9, -10}

Step-by-step explanation:

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The perimeter of a rectangle is
e-lub [12.9K]

P = 2(L + W)

510 = 2(L + W) ...divide both sides by 2

510/2 = L + W

255 = L + W

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6 0
3 years ago
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