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3 years ago

Solve and graph each inequality -2y+7<1 or 4y+3<-5

Mathematics

2 answers:

Nataly [62]3 years ago

5 0

Answer:

Step-by-step explanation:

$(1)\\\\-2y+7$

$-\text{op}\text{en circle}\\\leq,\ \geq-\text{closed circle}$

8_murik_8 [283]3 years ago

4 0

Answer:

3 < y
y < -2

Step-by-step explanation:

1. -2y+7 < 1

Add 2y-1:

6 < 2y

Divide by 2:

3 < y

2. 4y +3 < -5

Subtract 3:

4y < -8

Divide by 4:

y < -2

_____

These are graphed on the number line with open circles because y=-2 and y=3 are not part of the solution set.

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3 years ago

Write the slope-intercept form of the equation of each line.

shtirl [24]

Answer:

12) $y = -x + 8$

11) $y = 12x + 22$

10) $y = 5x - 4$

9) $y = -2x + 1$

8) $y = 2x + 9$

7) $y = 12x - 28$

6) $y = 1\frac{1}{3}x + 2$

5) $y = 4x - 2$

4) $y = x$

3) $y = 1\frac{2}{5}x - 7$

2) $y = 2x - 4$

1) $y = \frac{2}{3}x - 8$

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

$y = -x + 8$

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

$y = 12x + 22$

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

$y = 5x - 4$

_______________________________________________

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

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$y = -2x + 1$

_______________________________________________

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

$y = 2x + 9$

_______________________________________________

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

$y = 12x - 28$

_______________________________________________

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

$y = 1\frac{1}{3} + 2$

_______________________________________________

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

$y = 4x - 2$

_______________________________________________

x - y = 0

______

−y = −x

$y = x$

_______________________________________________

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

$y = 1\frac{2}{5}x - 7$

_______________________________________________

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

$y = 2x - 4$

_______________________________________________

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

$y = \frac{2}{3}x - 8$

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3 years ago

You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the t

Lana71 [14]

The time to complete 2 levels is (c) 60 minutes

<h3>How to determine the time to complete 2 levels?</h3>

The table of values is given as

Number of Levels Time (hours)

2 ?

3 1.5

Express the blank (?) with y

Number of Levels Time (hours)

2 y

3 1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

Solve and graph each inequality -2y+7<1 or 4y+3<-5​

Solve and graph each inequality -2y+7<1 or 4y+3<-5