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balandron [24]
3 years ago
10

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

Mathematics
1 answer:
lions [1.4K]3 years ago
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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What is the solution to the equation 37x = 9x + 4?<br><br> -7<br><br> -1/7<br><br> 1/7<br><br> 7
aivan3 [116]
37x = 9x + 4

37x - 9x = 4

28x = 4


x = 7
3 0
3 years ago
Read 2 more answers
Moira said, "If a right triangle has one side with a length of 3 units and one side with a length
Dima020 [189]

If the two sides with length 3 and 4 are the two legs, then the missing side, i.e. the hypotenuse, is indeed 5.

But it could also be the case that 4 is the hypotenuse and 3 is one of the legs. In this case, the missing side is the other leg, so we calculate it using

\sqrt{4^2-3^2}=\sqrt{16-9}=\sqrt{7}

So, a right triangle with legs \sqrt{7} and 3 has an hypotenuse of 4.

8 0
3 years ago
Explain how you determine an equation for a line using a table of input/output values.
Lubov Fominskaja [6]
Example :

            x               y
            1               3
            2               6
            3               9
            4               12

first thing u do is pick any 2 points (x,y) from ur table

(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3

now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b

so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct

and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
6 0
3 years ago
Help me solve -8 + 5 (g+2) - 2
goldenfox [79]

- 8 + 5 (g+2) - 2

mutiply the bracket by 5

(5)(g)= 5g

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-8+5g+10-2

-8+10-2+5g ( combine )

2-2+5g

0+5g

Answer:

5g

4 0
3 years ago
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F is between E and G EF= x-7 and EG= 4x+3 find FG
andre [41]
Too much work!!!!!!!!!!!!
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