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Soloha48 [4]
2 years ago
10

Which of these is a factor in this expression?

Mathematics
2 answers:
NikAS [45]2 years ago
8 0

Answer:

answer C

Step-by-step explanation:

natita [175]2 years ago
7 0

Answer:

The answer is C

Step-by-step explanation:

yea C

You might be interested in
A box with a square base and open top must have a volume of 296352 c m 3 . We wish to find the dimensions of the box that minimi
mestny [16]

Answer:

  • Base Length of 84cm
  • Height of 42 cm.

Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 296352 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume, V=x^2h=296352

h=\dfrac{296352}{x^2}

Surface Area of the box = Base Area + Area of 4 sides

A(x,h)=x^2+4xh\\$Substitute h=\dfrac{296352}{x^2}\\A(x)=x^2+4x\left(\dfrac{296352}{x^2}\right)\\A(x)=\dfrac{x^3+1185408}{x}

Step 2: Find the derivative of A(x)

If\:A(x)=\dfrac{x^3+1185408}{x}\\A'(x)=\dfrac{2x^3-1185408}{x^2}

Step 3: Set A'(x)=0 and solve for x

A'(x)=\dfrac{2x^3-1185408}{x^2}=0\\2x^3-1185408=0\\2x^3=1185408\\$Divide both sides by 2\\x^3=592704\\$Take the cube root of both sides\\x=\sqrt[3]{592704}\\x=84

Step 4: Verify that x=84 is a minimum value

We use the second derivative test

A''(x)=\dfrac{2x^3+2370816}{x^3}\\$When x=84$\\A''(x)=6

Since the second derivative is positive at x=84, then it is a minimum point.

Recall:

h=\dfrac{296352}{x^2}=\dfrac{296352}{84^2}=42

Therefore, the dimensions that minimizes the box surface area are:

  • Base Length of 84cm
  • Height of 42 cm.
5 0
3 years ago
Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that
nataly862011 [7]

The question is incomplete. The complete question is :

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?

Offer 1                                           Offer 2                                      

Rate: 7%                                         Rate: 6%                                                      

Time(years): 30                            Time (years): 25

Loan Amount: $200,000             Loan Amount: $200,000  

Monthly Payment: $1,330.60       Monthly Payment: $1,288.60

Total Financed:$479,017.80         Total Financed: $386,580.84

Offer 3

Rate: 5%

Time (years): 15

Loan Amount: $200,000

Monthly Payment: $1581.59

Total Financed: $284,685.71

Solution :

It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.

So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.

Therefore, they should choose Offer 3.

4 0
3 years ago
Read 2 more answers
Please help me please! I’m stuck, and I can’t figure this out. Please include the form in your answer! No phony answers pls!
nevsk [136]

Answer:

x ≈ - 6.74, 0.74

Step-by-step explanation:

x² + 6x - 5 = 0 ( add 5 to both sides )

x² + 6x = 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 5 + 9

(x + 3)² = 14 ( take square root of both sides )

x + 3 = ± \sqrt{14} ( subtract 3 from both sides )

x = - 3 ± \sqrt{14}

Then

x = - 3 - \sqrt{14} ≈ - 6.74 ( to the nearest hundredth )

x = - 3 + \sqrt{14} ≈ 0.74 ( to the nearest hundredth )

6 0
2 years ago
HElp me please!!! IVE HAD TROUBLE W THIS SINCE 11
Neporo4naja [7]

Answer:

Nocomplanar? Right because they’re not all in the same place?

Step-by-step explanation:

7 0
3 years ago
Solve for x ~<br><img src="https://tex.z-dn.net/?f=3%20%5C%3A%20%2814%20-%205x%29%20%3D16%20-%20%2012x" id="TexFormula1" title="
lesya692 [45]

3(14 - 5x) = 16 - 12x

Distribute 3 throught the parentheses

42 - 15x = 16-12x

Move the variable to the left-hand side and change its sign

42 - 15x + 12x = 16

Move the constant to the right-hand side and change its sign

- 15x+12x=16 - 42

Collect like terms

- 3x =  - 26

Divide both sides of the equation by -3

\boxed{x =  \frac{26}{3} }

6 0
2 years ago
Read 2 more answers
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