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Marina CMI [18]
2 years ago
13

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

You might be interested in
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:

A

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
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