MATHEMATICS MIDDLE SCHOOL

Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1. No, because (−1, −5) is above the line Yes, because (−1, −5) is below the line No, because (−1, −5) is on the line Yes, because (−1, −5) is on the line

Answers

Answer 1

Answer:

Answer:

Yes, because (−1, −5) is below the line.

Step-by-step explanation:

The given inequality is $y \leq -(3)/(4) x - 1$ .......... (1)

Now, rearranging this equality relation we get,

4y = - 3x - 4

⇒ 3x + 4y = - 4

⇒ $(x)/(- (4)/(3) ) + (y)/(- 1) = 1$ .......... (2)

This equation is in intercept form and the line represented by this equation passes through the x-intercept $(- (4)/(3), 0)$ and y-intercept (0,-1).

Now, it is clear that (0,0) point is above the equation.

But (0,0) point does not satisfy the inequality equation (1).

Hence, the solution of the inequality equation (1) is below and including line (2).

Now, point (-1,-5) is below the line (2) and hence, it is a solution of the inequality (1) as it is below the line. (Answer)

Answer 2

Answer:

Answer:

the answer is [yes, because (-1, -5) is below the solid line].

Step-by-step explanation:

I took the test and got it right

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Answers

$\huge\boxed{\mathfrak{Answer}}$

$f(x) = 2x - 4 \n f( - 2) = {?} \n \n x = - 2 \n \n f( - 2) = 2( - 2) - 4 \n f( - 2) = - 4 - 4 \n f( - 2) = - 8$

=> The answer is -8.

Answer:

-8

Step-by-step explanation:

I believe it is -8

first you 2(-2) - 4

then you -4 -4= -8

Hope that was helpful.

Corey needs 24 boards that are 47 1/2 long. How many feet of boards should he buy

Answers

1.
(24 * 47.5) / 12 = ?

2.
8 * 12 = 96 inches

96 / 47.5 = 2.02

He can get two 47.50-inch lengths out of each 8-foot board. So he needs 12-foot boards.

A student model the relationship in the table with the equation x = 4y. Explain the student's error. Write and equation that correctly models the relationship.