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3 years ago

What polynomial, when divided by 7y^3, yields 3y^2-4y+7 as a quotient?

Mathematics

1 answer:

weqwewe [10]3 years ago

7 0

Answer: 21y^5-28y^4+49y^3

If the remainder isn't necessarily zero, we add C_1y^2+C_2y+C_3, which covers all possible remainders when dividing by a polynomial with leading term in y^3.

Step-by-step explanation:

(3y^2-4y+7)(7y^3) =

21y^5-28y^4+49y^3

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Roberto purchased airline tickets for his family of 4. The tickets cost $1,250.The airline also charged a luggage fee,bringing t

goblinko [34]

Find the difference:

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Divide the difference by the starting value:

150 / 1250 = 0.12

Multiply by 100:

0.12 x 100 = 12% increase.

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3 years ago

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PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes

grigory [225]

Answer:

Step-by-step explanation:

We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4$

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

$y-y_1=m(x-x_1)$

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

$y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15$

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3 years ago

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What is the best approximation of the volume of the right cone?

zalisa [80]

Formula:

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

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3 years ago

If $15,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the g

Gennadij [26K]

Answer:

Step-by-step explanation:

If $10,000 is invested at an interest rate of 2% per year, compounded semiannually, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

a)6 years

b)12 years

c)18 years

***

compound interest formula: A=P(1+r/n)^nt, P=initial investment, r=interest rate, n=number of compounding periods per year, A=amt after t-years.

For given problem:

P=10000

r=.02

n=2

t=6, 12, 18

A(6)=10000(1+.02/2)^2*6

A(6)=10000(1.01)^12=11,268.25

A(12)=10000(1.01)^24=12,697.35

A(18)=10000(1.01)^36=14,307.69

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3 years ago

What​ polynomial, when divided by 7y^3, yields 3y^2-4y+7 as a quotient?

What polynomial, when divided by 7y^3, yields 3y^2-4y+7 as a quotient?