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Finger [1]
3 years ago
7

Which expression is equivalent to 4(3x+2)-5x A = 7x+2 B = 7x+8 C+12x+2 D=2x+8

Mathematics
2 answers:
inessss [21]3 years ago
5 0

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8

vesna_86 [32]3 years ago
5 0
It would be B hope this helps
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DUE SOON PLS HELP: All of the points on the picture are on the same line. 1. Find the slope of the line. Explain your reasoning.
Dimas [21]

Answer:

Look below :)

Step-by-step explanation:

1. To find the slope of a line, we can use this expression: \frac{y2 - y1}{x2 - x1}

In order to use that expression, we need to use two points. The graph given only provides you with two complete points, so we'll use those.

(4, 4) = (x1, y1)  (12, 20) = (x2, y2)

Now we can input the values into the expression:

\frac{y2 - y1}{x2 - x1} = \frac{20 - 4}{12 - 4}

Let's solve for the slope:

20 - 4 = 16

12 - 4 = 8

\frac{16}{8}

To simplify 16/8 divide both the numerator and the denominator by 8:

16/8 = 2

8 = 1

You get 2/1 or just 2.

The slope of the line is 2.

2. To make an equation for the line, we'll use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. We already know the value of the slope is 2, so now we need to find the y-intercept. We can find the y-intercept using a given point and the slope. In this example, I'll use the point (4, 4). Let's input the values into the equation:

y = mx + b

4 = 2(4) + b

Now let's solve for b:

4 = 8 + b

Subtract 8 from both sides to isolate the b:

4 - 8 = 8 - 8 + b

-4 = b

The y-intercept of the equation is -4.

Now that we know the values for the slope and y-intercept, we can write the equation:

y = 2x - 4

3. To find the values of a and b, we can use the equation we made in the previous question.

First we'll find a:

The point we are given is (a, 16). We know the y-value is 16, so we can put that into our equation. We can also replace x with a:

y = 2x - 4

16 = 2a - 4

Now we can solve for a:

First, add 4 to both sides to isolate the 2a:

16 + 4 = 2a - 4 + 4

20 = 2a

Then divide both sides by 2 to isolate a:

20/2 = 2a/2

10 = a

The value of a is 10.

Now let's find b:

This is similar to finding a. The point we are given is (8, b). We know the value of x is 8, and we can replace y with b in the equation:

y = 2x - 4

b = 2(8) - 4

Let's solve:

b = 2(8) - 4

b = 16 - 4

b = 12

The value of b is 12.

4. Finally, to find the y- coordinate when x=0, all we have to do is input 0 in for x in the equation and then solve for y:

y = 2x - 4

y = 2(0) - 4

y = 0 - 4

y = -4

When x = 0, y = -4.

The answer for what the y-coordinate is when x = 0 will always be the value of the y-intercept.

I hope this helps!

8 0
3 years ago
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Erica needs 5 1/2 gallons of paint to paint her house. She has 3 1/2 gallons of paint at school and her friend can give her 1 3/
Dima020 [189]

Answer:

Erica needs 1/4 more gallons of paint.

Step-by-step explanation:

3 1/2 + 1 3/4 = 5 1/4

in order to get 5 1/4 to 5 1/2, you need to add another quarter.

So:

5 1/4 + 1/4 = 5 1/2

3 0
2 years ago
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87g of sugar is needed to make 10 cakes. How much sugar is needed for 7 cakes?
nataly862011 [7]
87g divided by 10 = 8.7
8.7 times 7 = 60.9
60.9g of sugar is needed to make 7 cakes
Hope this helps! Feel free to thanks me, rate me 5/5 and make me brainliest!!!
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3 years ago
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Help asap please!<br><br> 2/5+????=7/10<br><br> Find the missing fraction
docker41 [41]

Answer:

3/10

Step-by-step explanation:

2/5 + x = 7/10

x = 7/10 - 2/5

x = 7/10 - 4/10

x = 3/10

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2 years ago
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What is the inverse of y = 2x - 1?
borishaifa [10]
Option 2 because it is the opposite
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