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Ivan
2 years ago
13

What is an expression equivalent to 7(c-4)

Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0

Answer:

7c - 28

Step-by-step explanation:

7(c - 4)

(7 × c) + (7 × - 4)

7c + (7 × - 4)

7c + -28

7c - 28

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Um........ Help? With step by step explanation ​
Elina [12.6K]

Answer:

$7.50

Step-by-step explanation:

15% of 50=7.5

5 0
2 years ago
Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
2 years ago
1) Solve the following system of equations algebraically. Give your solution as two
Bad White [126]

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

8 0
3 years ago
{(3,5),(-2,1),(4,3),(-1,4)} is each of these relation's a function?
marysya [2.9K]

Answer:

It is not a function.

Step-by-step explanation:

{(3,5),(-2,1),(<u>4</u>,3),(-1,<u>4</u>)}

A function is a special type of relation. In a function, no two ordered pairs have the same first  component.

This relation has two 4s.

4 0
2 years ago
Use the slope formula to determine the slope of the line that passes through the points R (1, 2) and S (5, 7)
Citrus2011 [14]
M = (y2-y1)/(x2 -x1)
m = (7 -2)/(5 - 1)
m = 5/4

answer: slope m = 5/4
4 0
2 years ago
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