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Maru [420]
4 years ago
13

I don’t understand this one

Mathematics
1 answer:
Masja [62]4 years ago
5 0

Answer:

  see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

__

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

  (x +1)

Substituting x=-1 into this factor makes it be ...

  (-1 +1) = 0

__

Evaluating the first expression, we have ...

\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)

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A portion of a map with cities a and b is shown.The map uses a scale of 1 inch to 30 miles. A new map has a scale of 2 inches=15
Alina [70]

Answer:

22.5miles

Step-by-step explanation:

For Map 1;

1 inches = 30miles

For Map 2:

2 inches = 15miles

1 inches = x

2x = 1 *15

x = 15/2

x = 7.5miles

This means that 1 inch represents 7.5miles on Map 2'

The distance between the two cities in miles = 30miles - 7.5miles

The distance between the two cities (in miles) = 22.5miles

3 0
3 years ago
Solve each of the following equations.
tamaranim1 [39]
A. -13
B. -45
C. 20
D. 84
E. 4
F. -4
G. -7
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6 0
4 years ago
Read 2 more answers
What is the slope of the line represented by the equation y = -1/2x + 1/4?
Murrr4er [49]

Answer:

<em>m=-1/2</em>

Step-by-step explanation:

The equation is in y=mx+b form. M is the slope. In this equation, -1/2 is m.

Therefore the slope is -1/2.

7 0
3 years ago
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A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done i
Scilla [17]

Answer:

From the analysis W1=W2.

they are directly related

Step-by-step explanation:

the work-done in stretching a spring can be expressed as

W=\frac{1}{2}kx^2

where k= spring constant

           x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k

4 0
3 years ago
Verity's sock drawer contains 9 black socks, 5 white socks, and 6 brown socks. If Verity chooses a sock at random, what is the p
Y_Kistochka [10]

Answer:

14/20.

Step.-by-step explanation:

There are 20  socks in the drawer.

The number which are not brown = 9 + 5 = 14.

So the required probability  = 14/20.

3 0
3 years ago
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