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3 years ago

Solve for y then find the value of x. y+6x=11;x=-1,0,3

Mathematics

2 answers:

Andrews [41]3 years ago

8 0

Answer:

For x = -1, the y value is 17

For x = 0, the y value is 11

For x = 3, the y value is -7

Brrunno [24]3 years ago

3 0

Answer:

Solution for y is y = 11 - 6x

For x = -1, the y value is 17

For x = 0, the y value is 11

For x = 3, the y value is -7

Step-by-step explanation:

Solve for y --> y + 6x = 11

y + 6x = 11

-6x -6x

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

y = 11 - 6x

Plug -1, 0, and 3 into this equation to find values of y --> x = 11 - y / 6

When x is -1, the y value becomes 17. Secondly, when x is 0, the y value becomes 11. Thirdly, when x is 3, the y value becomes -7.

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3 years ago

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. If the perimeter of MNPQ is 68 inches, t

Svetlanka [38]

Answer: NP = 9 inches

Step-by-step explanation:

In a parallelogram, the opposite sides are equal.

If the length of the longer side is MN, it means that the length of the two opposite longer sides is 2MN.

If the length of the shorter side is NP, it means that the length of the two opposite shorter sides is 2NP.

The perimeter is 2MN + 2NP

If the perimeter of MNPQ is 68 inches, it means that

2MN + 2NP = 68- - - - - - - - - - - -1

In parallelogram MNPQ, side MN is seven inches longer than twice the length of side NP. It means that

MN = 2NP + 7- - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

2(2NP + 7) + 2NP = 68

4NP + 14 + 2NP = 68

4NP + 2NP = 68 - 14

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6 0

3 years ago

Give the solution set for the inequality 7x < 7(x - 2) in interval notation.

eduard

ANSWER:

The solution set for the inequality 7x < 7(x - 2) is null set $\varnothing$

SOLUTION:

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is $\varnothing$

3 0

4 years ago