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Amiraneli [1.4K]
3 years ago
15

What is the product of 2x - 3 and 7 – 8x ?​

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

−6 x + 4

Step-by-step explanation:

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At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the j
Naddika [18.5K]

Answer:

The time Don estimated for the job, in hour, is 24 hours

Step-by-step explanation:

Based on his regular hourly rate, Don had estimated :

Estimated cost (C) = $336

Estimated hour of work =x

So, estimated rate in hour (R) = \frac{336}{x}

In fact, it took him 4 hours longer than he estimated, therefore

Factual hour of work = {x+4}

Factual rate in hour (F) = \frac{336}{x+4}

He earned $2 less than his regular hourly rate, hence the factual rate (F) is the subtraction of estimated rate (R) by 2

F = R - 2

Then, substitute F and R,

\frac{336}{x+4} = \frac{336}{x} - 2

\frac{336}{x+4}+2  = \frac{336}{x}

x(\frac{336}{x+4}+ \frac{2(x+4)}{x+4}) = 336

x(336+2(x+4))  = 336 (x+4)

336x+2x^{2} +8x = 336x+336*4

since at the both sides have 336x, we can removed it.

2x^{2} + 8x = 336 * 4

devide both sides by 2, thus

x^{2} +4x = 336 * 2

x^{2} +4x = 672

Make the algebra function equal to 0 by moving the 672 to the left side.

x^{2} +4x - 672 = 0

factorize the function above,

the factor of 672 is 24 and 28, because if it's multiplied it becomes 672 and if it's subtracted equal to 4. since 4x is positive, the higher number (28) should be in positive. Therefore we conclude that

(x+28)(x-24) = 0

x+28=0, x = -28\\x-24=0, x = 24

We takes the positive result, because the time is in positive. so, the estimated time is 24 hours

3 0
3 years ago
Trying this again for another 30 point and brainly
ki77a [65]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The daily cost of hiring a plumber, y, to work hours on a repair project can be modeled
Alex73 [517]

Answer:

  [50, 410]

Step-by-step explanation:

If the plumber works 0 hours, he still charges $50, so that is the minimum of the range of charges.

If the plumber works 8 hours, his hourly charge of 8×$45 = $360 is added to his fixed charge of $50 for a total of $410. That is the maximum of the range of daily charges.

The range of the function is $50 to $410.

4 0
3 years ago
What is the surface area of a cylinder with a 3 m radius and a 13 m height ?
lara [203]

Answer:

301.6 (I rounded)

Step-by-step explanation:

Please mark brainlest

7 0
2 years ago
A waffle recipe calls for 2 and1/4 cups of flour. If Chun wants to make1 1/2 times the recipe, how much flour does he need?
balandron [24]
2 1/4 x 1 1/2 = 3.375 cups of flour
5 0
3 years ago
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