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3 years ago

Find the solution set of this inequality. select the correct graph. |-4x+14|>6

1 answer:

5 0

Split the inequality into two:
(-4x+14)>6 & -(-4x+14)>6

solve:
(-4x+14)>6
-4x>-8
x<2
(symbol changes when ÷/× by negative for inequalities.)

-(-4x+14)>6
-4x+14<-6
-4x<-20
x>5

the answers are x<2 and x>5, so you would write your answer like this: (-∞,2) ∪ (5,∞)

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Find the length of x exactly. Brainly!!

NNADVOKAT [17]

Answer:

x = 7

Step-by-step explanation:

We can tell by looking at this triangle that this is a <u>45 45 90 triangle.</u>

In this situation, the hypotenuse is $x\sqrt{2}$ and the legs are both $x$ .So if we look at the hypotenuse, we can tell that x, or the leg of the triangle, is 7.

45 45 90 triangles: This is a special triangle in which the angles of the triangle are 45 45 and 90 degrees. This means that the hypotenuse will be $x\sqrt{2}$ and the legs of the triangle will be $x$ . You can usually use the Pythagorean theorem to solve the missing sides.

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3 years ago

What will be the annual salary for a mechanic who works 40 hours per week for 52 weeks a year and makes $25.21 per hour

dalvyx [7]

40 hours * 52 weeks = 2080 hours total worked that year.

2080 hours * 25.21 paycheck = 52,436.80

In reality you would have to subtract out holidays, any vacation, any sick days and taxes. All of that information varies by location and company.

3 0

3 years ago

What is the value of 2 over 3 to the power of 0 to the power of -3

Schach [20]

Answer:

$((\frac{2}{3})^0)^{-3}=1$

Step-by-step explanation:

We need to find the value of $((\frac{2}{3})^0)^{-3}$

Solving:

We know, $(a^b)^n = a^{b*n}$

$((\frac{2}{3})^{0*-3})$

$(\frac{2}{3})^0$

a^0 = 1

so,

$(\frac{2}{3})^0=1$

So, the value of $((\frac{2}{3})^0)^{-3}=1$

5 0

3 years ago

The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the grap

Ivahew [28]

Answer:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

The equations

4 x - 5 y = 5 (red)

3 x + 10 y = 20 (blue)

4 x - 5 y = -5 (green)

3 x + 10 y = -20 (purple)

are shown in the picture attached. As we can see there, the point (–2.7, –1.2) is on the intersection of the purple and green lines. Therefore is the solution of the system:

4 x - 5 y = -5

3 x + 10 y = -20

4 0

3 years ago

Read 2 more answers

Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello

allochka39001 [22]

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

4 0

3 years ago