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Schach [20]
3 years ago
15

Solve and graph the following compounf inequalities 7<5x+2<22

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
1<x<4 is the answer for the question

nevsk [136]3 years ago
3 0
Hey there!

7 < 5x + 2 < 22
Let's start by adding -2 to both sides
7 - 2 < 5x + 2 - 2 < 22 - 2
5 < 5x < 20
Then divide each part by 5 :)
5/5 < 5x < 20/5
1 < x < 4


I hope this helps. Please let me know if you have questions about the answer.
Down bellow is the graph.

Best of luck with your studies!

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If $x$, $y$, and $z$ are positive integers such that $6xyz+30xy+21xz+2yz+105x+10y+7z=812$, find $x+y+z$.
harina [27]

Answer:

10

Step-by-step explanation:

When we simplify we get $$z(6xy+21x+2y+7)+30xy+105x+10y=812.$$

Then we continue to factor to get: (z+5)(6xy+21x+2y+7)&=847.

We then see that we can factor (6xy+21x+2y+7) into (z+5)(3x+1)(2y+7)&=847.

we then do the prime factorization of 847, which i think is,  7*11*11. we have to find the numbers that multiply to 847 and then plug them into z+5, 3x=1,2y+7.

It has to be a positive, non-negative integer, right?

We also see that 3x+1=11 so we see that x=10/3 (which wont work).

So 3x+1=7, so x=2.

So 11 has to be in another term. It has to be in 2y+7=11 so y=2

for the last term we get z+5=11 so z=6

2+2+6=10

Hope this helps and if you want please consider giving me brainliest. :)

8 0
4 years ago
G * 9 = 3.6 solve for G what is it​
larisa86 [58]
G = 2.5

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8 0
3 years ago
What is the domain of the function
valentina_108 [34]

Answer:

i think its C....

Step-by-step explanation:

7 0
4 years ago
A girl 160cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?
Volgvan
The lamp post is 202.5 cm high. 

Hope this answer helped..it would really help me if you gave me brainliest answer, I desperately need. Thanks
3 0
3 years ago
BRAINLIEST!!!
mart [117]

Answer:

A. 2 to the power of 1 over 6

Step-by-step explanation:

\frac{ \sqrt{2} }{ \sqrt[3]{2} }

Laws of indices subtract ½ from ⅓ and use it as your power

Dm me for more explanation

5 0
4 years ago
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