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Harlamova29_29 [7]
3 years ago
9

The product of a number and six is eigth

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0
Is there an article to this?
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Calculate the slope of the line that passes through (3,2) and (−7,4)
34kurt

Answer:

-1/5

Step-by-step explanation:

It has a rise of 2 and a run of -10, therefore it is a slope of -2/10 or -1/5

8 0
3 years ago
Read 2 more answers
6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
2 years ago
1. Mr. Hurst's house increased in value to $185,400 one year after he bought
katovenus [111]

Answer:

B.

Step-by-step explanation:

Mark me brainliest if correct plz. If incorrect, you can give me 1 star to let me know. Thank you!

8 0
2 years ago
Which expression is equivalent to 19x − 6x + 2 and why?
Sonbull [250]
<span>2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x</span>
7 0
3 years ago
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Solve for x. round to nearest hundredth. PLS HELPP. will award brainliest
DENIUS [597]

Answer:

18.03

Step-by-step explanation:

<u>Formula:</u> a^{2}+b^{2}=c^{2}

15^{2}+10^{2}=x^{2}

225+100=x^{2}

x^{2}=325

x = 5\sqrt{13}=18.03

6 0
2 years ago
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