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Orlov [11]
3 years ago
10

Solve l 3x-7 l = 2

Mathematics
2 answers:
Lelechka [254]3 years ago
8 0

Answer:

1) Solutions are x = 3 and x = 5/3

2) Solution are x ≤ 13/2 and  x ≤ -3/2

Step-by-step explanation:

1) Given absolute inequality,

|3x-7| = 2

⇒ 3x - 7 = ± 2

⇒ 3x = 7 ± 2

\implies x=\frac{7\pm 2}{3}

x=\frac{7+2}{3}\text{ or }x=\frac{7-2}{3}

\implies x = 3\text{ or }x=\frac{5}{3}

2) l 2x-5 l ≤ 8

⇒  2x-5  ≤ ±8

⇒   2x ≤ 5 ± 8

\implies x\leq \frac{5\pm 8}{2}

x\leq \frac{5+8}{2}\text{ or }x\leq \frac{5-8}{2}

\implies x \leq \frac{13}{2}\text{ or }x\leq-\frac{3}{2}

mote1985 [20]3 years ago
8 0

Answer:

Answer:

1) Solutions are x = 3 and x = 5/3

2) Solution are x ≤ 13/2 and  x ≤ -3/2

Step-by-step explanation:

1) Given absolute inequality,

|3x-7| = 2

⇒ 3x - 7 = ± 2

⇒ 3x = 7 ± 2

2) l 2x-5 l ≤ 8

⇒  2x-5  ≤ ±8

⇒   2x ≤ 5 ± 8

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If a car has traveled 171 miles in 3 hours at a steady pace, how far has it traveled each hour?
san4es73 [151]

Answer:

B: 57 mph=57 mph

Step-by-step explanation:

A steady pace means constant speed  that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

v= \frac{x - xo}{t -to}

where x is distance and t time. The subtract is final value minus initial value

We have the distance and time, then

v= \frac{171 miles}{3 hours}  = 57 mph

7 0
3 years ago
Jason can paint a wall in 20 minutes. Leah can paint the same wall in 10 minutes.
Vilka [71]

Answer:

There is no solution to this answer.

Step-by-step explanation:

Leah's rate is 10x

Jason's rate is 20x

If you solve for 20x=10x, you get no solution. They are parallel lines.

8 0
3 years ago
what are two practical products you could add to find 990 x 37 ; 297 693 2970 6930 69300 6330 29700
VMariaS [17]
First evaluate 990 x 37.
990 x 37 = 36630

Test the given numbers to find the pair that adds up to 36630.
Test 297.
The missing pair will be
36630 - 297 = 36333
Will not work

Test 693.
36630 - 693 = 35937
Will not work

Test 2970.
36630 - 2970 = 33660
Will not work

Test 6930
36630 - 6930 = 29700
This works, because 6930 + 29700 = 36630.

Answer: 6930 and 29700.


8 0
3 years ago
Use synthetic substitution to find f (2) and f (-1) for the function.<br> f (x) = x3 – x2 – 2x + 3
kotegsom [21]

Answer:

f(2)=7

f(-1)=+1

Step-by-step explanation:

f (2)= 2³-2²+3 =8-4+3=7

f (-1)= (-1)³-(-1)²+3= -1- (+1) +3= -1-1+3=+1

3 0
2 years ago
Help me please I don’t get it
svet-max [94.6K]
The answer to B is: HP, HE, H and O, HH, OO, EE, PP, PE, PO, and EO

the answer to a would be 10
4 0
3 years ago
Read 2 more answers
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