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3 years ago

Look in the image and you will see the question

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

The answer to this question would be C. The reasoning is because Mr. Thompson has the right amount to buy all the things he needs.

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What constant do you need to add to each quadratic to complete the square? 1. x2 - 4x = 0 4 2. x2 - 8x = 6 9 3. 3x2 + 18x = 24 1

Radda [10]

1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.

Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.

2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.

3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.

6 0

3 years ago

Solve the following system of equations.

zheka24 [161]

Answer:

(1,1)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour

yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0

3 years ago

Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th

den301095 [7]

Answer:

The equation would be $30=12+9x$ .

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

$30 = 3\times4 +9x\\\\30=12+9x$

Hence The equation would be $30=12+9x$

Solving above equation we get;

$9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs$

Hence Allen will Run for 2 hours.

8 0

3 years ago

Help and add a list thank you

ZanzabumX [31]

Answer:

Answers are given in the attachment

hope it'll help you!

3 0

2 years ago