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2 years ago

Solve the equation (x-3)^3-( x - 1 )^3 + 7x^2 = 7(3x - 4 )

Mathematics

1 answer:

Yakvenalex [24]2 years ago

8 0

Answer:

x= -1 or x = -2

Step-by-step explanation:

Your equation:

(x−3)^3−(x−1)^3+7x^2=7(3x−4)

Step 1: Simplify both sides of the equation.

x^2+24x−26=21x−28

Step 2: Subtract 21x-28 from both sides.

x^2+24x−26−(21x−28)=21x−28−(21x−28)

x^2+3x+2=0

Step 3: Factor left side of equation.

(x+1)(x+2)=0

Step 4: Set factors equal to zero.

x+1=0 or x+2=0

which equals to x=−1 or x=−2

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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d

dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of $P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5$ , where $x$ is the selling price of the product, measured in dollars per unit, is:

$r = \frac{P(55)-P(50)}{55-50}$ (1)

Now we evaluate the function at each bound:

x = 50

$P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5$

$P(50) = 11$

x = 55

$P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5$

$P(55) = 9.125$

Then, the average rate of change is:

$r = \frac{9.125-11}{55-50}$

$r = -0.375$

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0

2 years ago

Estimate 1.9 x 4.4

Lelechka [254]

Answer:

Step-by-step explanation:

1.9 about 2, and 4.4 is about 4.

2x4=8

So it is safe to say between 4 and 10.

3 0

2 years ago

Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the

nalin [4]

Answer:

$m=4\frac{1}{3}$

Step-by-step explanation:

the equation to this is

$y=4\frac{1}{3}x$

and slop-intercept form is

$y=mx+b$

with m being the slope,

so,

$m=4\frac{1}{3}$

7 0

3 years ago

Read 2 more answers

4/50 converted into a percentage

Arlecino [84]

Answer:

Step-by-step explanation:

$\frac{4}{50}*100=4*2$

= 8%

3 0

3 years ago

31 days x 160 residents=

k0ka [10]

Answer:

4960?

Step-by-step explanation:

31 times 160 = 4960

5 0

2 years ago