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dlinn [17]
2 years ago
9

Factor the expression 4x + 32. Explain each step you take in the process.

Mathematics
2 answers:
Butoxors [25]2 years ago
6 0
4x+32

4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers. 

4(1x+8)
aka 4(x+8)
harina [27]2 years ago
3 0

Answer:

Sample response: The GCF of 4x and 32 is 4, so the first step is to divide each term by 4. The quotients are x and 8. The factored expression will be 4(x + 8).

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If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (StartFraction r Over s EndFraction) (6)?
Airida [17]

Answer:

\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}

Given functions : r(x)=3x-1  and s(x)=2x+1

Then, \dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}

\Rightarrow\ \dfrac{r}{s}(x)=\dfrac{3x-1}{2x+1}

At x= 6 , we get

\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

The , The expression is equivalent to \dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}

When we further simplify it , we get \dfrac{r}{s}(6)=\dfrac{18-1}{12+1}=\dfrac{17}{13}

5 0
2 years ago
An elevator went up 15 floors, down 9 floors, up 11 floors and down 19 floors. Find the net change
Slav-nsk [51]
15u + 11u - 9d - 19d = -2d
It went up 26, down 28, a net change of down 2.
3 0
1 year ago
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Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?. a) m<1=m<2. b)m&lt
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Answer:
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7 0
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lana66690 [7]

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

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b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

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What is the greatest integer value of y for which 5y - 20 &lt; 0?
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