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3 years ago

Write an inequality for the given graph.

Mathematics

1 answer:

Aliun [14]3 years ago

5 0

Y=MX+B

M = slope

B = y intercept (number that intersects with the line in the y axis)

y=-3/4x+2

It starts on the y intercept (2) then we travel to the next point (4 on the x axis)

So we travel 3 spaces down (-3) landing on the origin (0,0) then four spaces to the right (4). Getting the slope of -3/4 (rise over run)

Then just plug in these into the equation

y = -3/4 + 2

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Find the difference. (4−5y)−2(3.5y−8)

MAVERICK [17]

Answer:

-12y + 20

Step-by-step explanation:

First, you simplify each term:

apply the distributive property:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply 3.5 by -2:

4 - 5y - 2 (3.5y) - 2 x -8

Multiply -2 by -8:

4 - 5y - 7y +16

Next, we simplify by adding terms:

Add 4 + 16:

-5y - 7y + 20

Subtract 7y from 5y:

-12y + 20

Hence the simplified form is -12y + 20

4 0

2 years ago

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Pleaseee help I’m struggling so hard

ivanzaharov [21]

Answer:

-3

Step-by-step explanation:

8 0

3 years ago

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Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

4 0

2 years ago

Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12).

Gnoma [55]

Answer:

Step-by-step explanation:

(12 - 2)/(2 - 7) = 10/-5 = -2

y - 12 = -2(x - 2)

y - 12 = -2x + 2

y = -2x + 14

6 0

2 years ago

The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th

kondaur [170]

L=16
W=21

Set up a systems of equations:
x=length
y=width

xy=336
x+5=y

Use substitution to solve:
x(x+5)=336
x^2+5x=336

Solve using factoring:
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21
Since length can't be negative, l=16

To find width, plug length into the first equation:
(16)y=336
y=21

So...
L=16
W=21

7 0

2 years ago

Read 2 more answers