All categories

2 years ago

Identify the graphical solution to the inequality

Mathematics

1 answer:

NeTakaya2 years ago

5 0

Answer:

Step-by-step explanation:

to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative

example, |4| = 4 and -4

first solution will be when we're solving for the positive value:

+(-4x+7) ≥ 27

-4x + 7 ≥ 27

-4x ≥ 20

x ≤ -5 [reverse the symbol when mult or div by a negative]

-(-4x+7) ≥ 27

4x - 7 ≥ 27

4x ≥ 34

x ≥ 34/4 or x ≥ 8 1/2

solution: x ≤ -5 or x ≥ 8.5

You might be interested in

The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection

aev [14]

Answer:

Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

(-6, 7)

Step by Step Explanation:

When reflecting (x, y) over the x axis is (x, -y)

When reflecting (x, y) over the y axis is (-x, y)

Hope this helps!

7 0

2 years ago

Read 2 more answers

12<br> Fill in the blank: What's the length of the missing<br> side?<br> Ilype your answer

Kisachek [45]

Answer:

Step-by-step explanation:

Using Pythagoras Theorem:

$a^2+b^2=c^2$

Substitute values of a and b:

$5^2+12^2=25+144=169$

$c^2=169\\c=13$

The length of the missing side is 13.

8 0

3 years ago

Solve the following problems mentally and match it to its corresponding solution.

HACTEHA [7]

Answer:

Step-by-step explanation:

Isolate the term of t from one side of the equation.

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

6 0

2 years ago

Read 2 more answers

Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution

madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

$7+42-32-32=14.3-2a+7$

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

$-15=14.3-2a+7$

After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

$-15=21.3-2a$

Get -2a alone by subtracting 21.3 from both sides.

$-36.3=-2a$

Divide both sides by -2.

$a=18.15$

In this equation, a should equal $\boxed{18.15}$ .

5 0

3 years ago

For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 stri

USPshnik [31]

Answer: 219.8 meters

Step-by-step explanation:

Since his stride measures 1.4 meters and the length of the field is 157 strides, then the length of the stride in meters is 157*1.4 meters.

= 219.8 meters

4 0

2 years ago