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andrezito [222]
3 years ago
6

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the express

ion and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

Step-by-step explanation:

To simplify the expression:

4(3x+2) - 2

The first step is to open the brackets

= 4 * 3x + 4* 2 - 2

= 12x + 8 - 2

= 12x - 6

Factor out the above expression, we get;

= 6(2x - 1)

To factor out the expression:

20b - 16

the factor that can be divided by 20 and 16 without remainder is 4;

So, we have:

= 4(5b - 4)

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90+45+X=180, what does X=? *<br> Your ansiyer
Cerrena [4.2K]

Answer:

X = 45

Step-by-step explanation:

90+45+X=180

135 + X = 180

X = 180 - 135

X = 45

hope it helps!

5 0
3 years ago
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7.4: How do You Know?
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Answer:

The one on the right is 25 percent smaller then the one on the left. They have he same angle measures.  The line lengths are just different.

Step-by-step explanation:

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3 0
2 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

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3 years ago
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Answer:

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Step-by-step explanation:

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300/200 as a terminating decimal.
Tomtit [17]

Answer:

1 100/200

Step-by-step explanation:

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3 years ago
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