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VLD [36.1K]
2 years ago
8

Which ordered pairs are solutions to the inequality y - 3x < -8?

Mathematics
1 answer:
7nadin3 [17]2 years ago
6 0

Answer:

Option B,C and E are solution to given inequality y - 3x < -8

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality y - 3x < -8

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

-5-3(1)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

-2-3(-3) < -8\\-2-9

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

-9-3(0)

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

-1-3(2)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

4-3(5)

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality y - 3x < -8

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Question 3 (1 point)
Virty [35]

Answer:

The answer to your question is (4, 6)

Step-by-step explanation:

Data

E ( 9 , 7 )

F ( - 1, 5)

Formula

Xm = \frac{x1 + x2}{2}

Ym = \frac{y1 + y2}{2}

Substitution and simplification

Xm = \frac{9 -1}{2}

Xm = \frac{8}{2}

      Xm = 4

Ym = \frac{7 + 5}{2}

Ym = \frac{12}{2}

      Ym = 6

Result

            (4 , 6)  

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Irina-Kira [14]
We need more detail to help with the problem.
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2 years ago
Three expressions equivalent to the following: -90x + 60
Deffense [45]

Answer:

33beacuse you i have -90×+60=9×6=369-63

3 0
3 years ago
8 to the power 1/6 times 2 to the power x equals 32 to the power 1/2
Elza [17]

The exact value of x is 2.

<h3>What is linear equation?</h3>

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾

32⁽¹/²⁾ = 2⁵⁽¹/²⁾

32⁽¹/²⁾ = 2⁽⁵/²⁾

8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾

8⁽¹/⁶⁾ = 2⁽¹/²⁾

8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ

= 2⁽¹/²⁾+ˣ  

= 2⁽¹/²+ˣ⁾

since 8⁽¹/⁶⁾ x 2ˣ  = 32⁽¹/²⁾

= 2⁽⁵/²⁾

2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾

equate the powers

1/2+ x = 5/2

subtract 1/2 from both sides

x = 5/2 - 1/2

x = (5-1)/2

x = 4/2

x= 2

Therefore, x = 2 is the exact value of x.

To know more about linear equation, visit:

brainly.com/question/11897796

#SPJ9

4 0
1 year ago
Miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 bars.
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Well, 100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.
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