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3 years ago

Solve each system by substitution

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

Answer:

x = 0, y = -5

Step-by-step explanation:

you're given two equations:

y = 4x - 5

y = 2x - 5

to solve, just substitute y in the second equation.

y = 2x - 5

4x - 5 = 2x - 5

now that you have this, solve for x.

4x - 5 = 2x - 5

subtract 2x from both sides

4x - 5 - 2x = 2x - 5 - 2x

2x - 5 = -5

add 5 to both sides

2x - 5 + 5 = - 5 + 5

2x = 0

divide both sides by 2

2x/2 = 0/2

x = 0

now that you know x, substitute x for 0 in the second equation.

y = 2x - 5

y = 2 * 0 - 5

y = 0 - 5

y = - 5

anyanavicka [17]3 years ago

7 0

Answer:

equalize the both sides of the functions

Step-by-step explanation:

4x-5 = 2x-5

4x = 2x

2x = x

2 = 1 meaning phi

there is no answer for this problem

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You roll one die 8 times. What is the probability of rolling exactly six fours

julia-pushkina [17]

Answer:

4/8 = 1/2 = 0.5 is your answer

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2 years ago

Nine less than six times a number is -15

Jlenok [28]

Hello!

6 - 9 × y = -15

When "less than" is used you switch the number before it the number after it. While it seems like it would be 9 -6, its actually 6-9

6 - 9 is -3, you can multiply 3 by 5, to get 15. So your answer would be 5

Hope this helps!

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3 years ago

The area of this rectangle is given by the quadratic function

Sonja [21]

The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

Domain of functions

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

$A=50W - W^2$