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just olya [345]
3 years ago
10

Find the area of a rectangle that has a length of (x - 5) and a width of (3x + 1).

Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

A=3x^2 -14x -5

Step-by-step explanation:

(x-5)(3x+1)

3x^2 +x -15x -5

3x^2 -14x -5

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Graph the line that goes through: (−2, 5) with a slope = −4
Shalnov [3]

Answer:

-1,1    0,-3

Step-by-step explanation:

start at -2, 5 and go down 4 right 1.

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5 0
3 years ago
Solve each compound inequality (show your work!)
zimovet [89]

Answer:  -1 < x < 8

                x = 3

                x ≠ 2

<u>Step-by-step explanation:</u>

Isolate x in the middle.  Perform operations to all 3 sides.

-6 < 2x - 4 < 12

<u>+4 </u>   <u>      +4</u>   <u>+4 </u>

-2 < 2x       < 16

<u>÷2  </u>  <u>÷2      </u>   <u> ÷2 </u>

-1   <   x       <  8

**************************************************************************

Isolate x.  Solve each inequality separately. Remember to flip the sign when dividing by a negative.

       4x ≤ 12       and       -7x ≤ 21

      <u>÷4  </u>  <u>÷4 </u>                 <u> ÷-7  </u>   <u>÷-7 </u>

        x ≤ 3         and         x ≥  3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3?    <em>when x = 3</em>

****************************************************************************

Isolate x.  Solve each inequality separately.

    15x > 30       or           18x < -36

   <u>÷15 </u>  <u> ÷15 </u>                  <u> ÷18  </u>   <u>÷18 </u>

       x > 2          or              x <   2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

4 0
3 years ago
Lightning strikes Earth 1000 times in 10 seconds. How many seconds does it take for lightning to strike 7250 times? It takes sec
borishaifa [10]

Answer:

1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.

Step-by-step explanation:

8 0
3 years ago
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