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alexandr1967 [171]
3 years ago
11

Pascha is factoring the polynomial, which has four terms.

Mathematics
2 answers:
barxatty [35]3 years ago
5 0

Answer:

c

Step-by-step explanation:

lys-0071 [83]3 years ago
4 0

Answer:

(3x^2 + 8)(x - 5)

Step-by-step explanation:

Given

3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)

Required

Complete the factorization

3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)

When an equation is factorized as:

a(b + c) + d(b + c)

The complete expression is:

(a + d)(b + c)

Apply this logic in 3x^3 - 15x^2 + 8x - 40 = 3x^2(x - 5) + 8(x - 5)

By comparison:

a = 3x^2; b = x; c = -5; d = 8

So, we have:

3x^3 - 15x^2 + 8x - 40 = (3x^2 + 8)(x - 5)

Hence,

(3x^2 + 8)(x - 5)<em> is the complete factor</em>

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There are 7.48 gallons in a cubic foot. If residents of the apartment building are using the water from the tower at an average
lorasvet [3.4K]

Answer:

Time it will take to drain the entire tower = 2.8minutes

Step-by-step explanation:

The question is incomplete as the volume of the tower was not indicated.

Let's consider the following question:

If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.

Solution:

Volume = 36000in³

Conversion of in³ to ft³

1 inch = 0.0833 feet

12 inch = 1 ft

1 ft³ = 1ft × 1ft × 1ft

= 12 in x 12 in x 12 in = 1728 in³

36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³

= 20.833ft³

Volume = 20.833ft³

There are 7.48 gallons in a cubic foot

In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)

= 20.833× 7.48gallons

Volume = 155.83 gallons

The rate of usage = 56 gallons per minute

The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)

= (155.83/56)minute

= 2.8minutes

Time it will take to drain the entire tower = 2.8minutes

5 0
3 years ago
Find the value of 7u+1 given that -5u-1=4
Ganezh [65]
<h3>Given:-</h3>

⟹-5u-1=4

⟹-5u=4+1

⟹-5u=5

⟹u=\frac{5}{-5}

<h3>⟹u=-1</h3>

<h3>Substitute The Value</h3>

⟹7u+1

⟹7×(-1) +1

⟹-7+1

<h3>⟹-6</h3>
5 0
3 years ago
HELPPPP PLEASEEEEE ​
Alecsey [184]
I’m not rly sure what it means by flipping the card …. I’m assuming there’s more to this question but if it’s what I think it is the only way this equation will be true is by switching the + Symbol to - (subtraction) which would be 1-2= 3-4 since it would 1=1 making the equation true
7 0
2 years ago
The average athlete is able to begin activity 90 days after having a knee operation. The standard deviation is 20 days. Sixty-ei
Marta_Voda [28]

Answer:

99

Step-by-step explanation:

The mean = 90 days

standard deviation = 20 days

P(Z < z) = 68 %

getting the value of z-score from the standard normal table of 0.68

z = 0.47

P(Z < 0.47) = 0.47 * 20 + 90 = 99

7 0
3 years ago
Need help with this pls show work
Gemiola [76]

Answer:

Ron got 3 additional toppings

Step-by-step explanation:

Lets call the amount of toppings that Ron got t. With this, we can set up the following equation:

8.95+0.65t=10.90

Subtract 8.95 from both sides:

0.65t=1.95

Divide both sides by 0.65:

t=3

Hope this helps!

6 0
3 years ago
Read 2 more answers
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