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3 years ago

What is the solution for x in the equation? -x + 3/7 = 2x -25/7

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

4 0

Answer:

x = 4 /3

Decimal Form:

x = 1. 33333 (repeating)

Mixed Number Form:

x = 1 1 /3

Step-by-step explanation:

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What does the value of y have to be so that<br> (3, y) and (-5,6) have a slope of -1 between them?

Natasha_Volkova [10]

Answer:

y= -2

Step-by-step explanation:

Please see attached picture for full solution.

(From the 4th to 5th line, I multiplied both sides by 8)

3 0

3 years ago

1. Carter will install fencing all around the flat area of his

MariettaO [177]

Answer:

Amount of fencing required = 75 yards

Step-by-step explanation:

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(3, 6) and B(3, -2) = $\sqrt{(3-3)^2+(6+2)^2}$

= 8 yards

Distance between B(3, -2) and C(-7, 4) = $\sqrt{(3+7)^2+(-2-4)^2}$

= $\sqrt{136}$

= 11.66 ≈ 12 yards

Distance between C(-7, 4) and D(-7, -2) = $\sqrt{(-7+7)^2+(4+2)^2}$

= 6 yards

Distance between D(-7, -2) and E(-3, -2) = $\sqrt{(-7+3)^2+(-2+2)^2}$

= 4 yards

Distance between E(-3, -2) and F(-3, -8) = $\sqrt{(-3+3)^2+(-2+8)^2}$

= 6 yards

Distance between F(-3, -8) and G(3, -8) = $\sqrt{(-3-3)^2+(-8+8)^2}$

= 6 yards

Distance between G(3, -8) and H(10, -12) = $\sqrt{(3-10)^2+(-8+12)^2}$

= $\sqrt{49+16}$

= $\sqrt{65}$

= 8.06 ≈ 8 yards

Distance between H(10, -12) and J(10, 6) = $\sqrt{(10-10)^2+(-12-6)^2}$

= 18 yards

Distance between A(3, 6) and J(10, 6) = $\sqrt{(10-3)^2+(6-6)^2}$

= 7 yards

Since length of fence required = perimeter of the flat area

Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7

= 75 yards

Therefore, amount of fencing required = 75 yards

8 0

3 years ago

Leroy took a trip to Alaska. His airfare was $243 and he spent $72 each day while

Aleks04 [339]

Answer:

Total cost of the trip = 243 + 72x

Step-by-step explanation:

Cost of airfare = $243

Amount spent per day = $72

Which expression can he use to help him find the cost of the trip?

Let

x = number of days spent in Alaska

Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)

= 243 + (72 * x)

= 243 + 72x

Total cost of the trip = 243 + 72x

If he spent 4 days on the trip

Total cost of the trip = 243 + 72x

= 243 + 72(4)

= 243 + 288

= $531

4 0

2 years ago

Aniyah spent $36 on snacks for Super Bowl Sunday and had $12 left. What percent of her money did she spend?

mezya [45]

She spent 66% of her money.

8 0

3 years ago

Read 2 more answers

Please help me out!!!!!

Neko [114]

Given:

The zeros of the polynomial are $-2,\pm 5,4$ .

Degree = 4

Leading coefficient = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

$p(x)=(x+2)(x-4)(x+5)(x-5)$

$p(x)=(x^2-4x+2x-8)(x^2-5^2)$ $[\because a^2-b^2=(a-b)(a+b)]$

$p(x)=(x^2-2x-8)(x^2-25)$

Using distributive property, we get

$p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)$

$p(x)=x^4-25x^2-2x^3+50x-8x^2+200$

On combining like terms, we get

$p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200$

$p(x)=x^4-2x^3-33x^2+50x+200$

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

3 0

3 years ago

What is the solution for x in the equation? -x + 3/7 = 2x -25/7​

What is the solution for x in the equation? -x + 3/7 = 2x -25/7