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3 years ago

Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the

Mathematics

1 answer:

djyliett [7]3 years ago

8 0

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

= -2x³ + x² + 9x + 12x² - 6x - 54

= -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

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Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 = b

The equation is y = (1/2)x + - 3.5

See the attached image.

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11 months ago

What is the volume of a right circular cylinder with a base diameter of 6m and a height of 5 m

maria [59]

Step-by-step explanation:

4 0

3 years ago

Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100

Darina [25.2K]

Answer:

Step-by-step explanation:

given is a function as

$y=\frac{27}{x^3}$

We are to find the area form x=1 to x=t

The curve from x=1 lies in the I quadratnt.

So area above x axis is to be calculated

Area = $\int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )$

a) When t =10,

area = $\frac{27}{2} (1-\frac{1}{10^2} )\\= 13.365$

b) t=100

area = $\frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865$

c) t=10000

area = $\frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5$

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3 years ago

F(x) = 3x + 5 g(x) = 4x? - 2 h(x) = x² – 3x + 1 Find f(x) + g(x) – h(x)

inysia [295]

Answer:

3x²+6x+2

Step-by-step explanation:

f(x)+g(x)-h(x)

=(3x+5)+(4x²-2)-(x²-3x+1)

=3x+5+4x²-2-x²+3x-1

=6x²+2+3x

=3x²+6x+2 (rearrange)

3 0

3 years ago

9/20 divided by 4/15

polet [3.4K]

36/3000 ? maybe 1/5 ....................................

8 0

3 years ago

Read 2 more answers