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3 years ago

What is the f of x over the g of x when f(x) = 6x3 − 19x2 + 16x − 4 and g(x) = x − 2? (2 points)

1 answer:

4 0

You're being asked to divide 6x^3 - 19x^2 + 16x - 4 by x - 2.

Try using synthetic division, if you know it:

_______________
2 / 6 -19 16 -4
12 -14 4
--------------------------
6 -7 2 0

6, -7 and 2 are the coefficients of the quotient. The quotient (answer to this question) is

6x^2 - 7x + 2

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Line segment AB has endpoints A(-1.5, 0) and B(4.5 8). Point C is on line segment AB located at (0, 2)

Pie

Answer:

The ratio of AC/CB=1/3

Step-by-step explanation:

We use the section formula:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

We substitute the point A(-1.5,0) and B(4.5,8).

We plug in the points to get:

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n})$

This is supposed to be equal to: (0,2).

$(\frac{4.5m - 1.5n}{m+n},\frac{8m+n \times 0}{m+n}) = (0,2)$

We can equate, corresponding coordinates to find m and n.

$\frac{4.5m - 1.5n}{m + n} = 0$

This implies that:

$4.5m - 1.5n = 0$

$4.5m = 1.5n$

$\frac{m}{n} = \frac{1.5}{4.5}$

$\frac{m}{n} = \frac{1}{3}$

Therefore the ratio is m:n=1:3

4 0

2 years ago

-x-2 = x-16 Please help ❤️

Bad White [126]

Answer:

Step-by-step explanation:

Property of addition:

-2 = 2x - 16

again

14 = 2x

property of division

7 = x

x = 7

6 0

2 years ago

Write ✓-98 in simplest radical form.

trapecia [35]

Answer:

Step-by-step explanation:

This first step is to take the square root of the minus which is understood to be - 1

sqrt(-1) = i

So far what you have is

sqrt(-98) = i*sqrt(98)

sqrt(98) is just found the ordinary way

sqrt(98) = sqrt(7*7*2)

sqrt(7*7*2) = 7*sqrt(2)

Answer: 7 * i * sqrt(2) = i7*sqrt(2)

Pick the choice that looks like what you have done for homework.

8 0

2 years ago

the Honda CRV gets 37 miles per gallon on average how much carbon dioxide will be admitted if the Honda were driven 400 miles

Pani-rosa [81]

According to the equation located here: https://www.1728.org/glwarmng.htm burning one gallon of gasoline produces 19.3 pounds of carbon dioxide.

So, if a car gets 37 miles per gallon and if it travels 400 miles, it will use 10.81 gallons of gasoline and will produce 19.3 * 10.81 = 208.63 pounds of carbon dioxide.

6 0

3 years ago

IM BEGGING YOU PLEASE HELP PLEASE HELP I NEED HELP PLEASE

I am Lyosha [343]

Answer:

area of shaded region: 21.07 ft²

Given for semi circle:

radius of semi-circle: 7 ft

Given for rectangle:

width: 7 ft
length: 14 ft

Find area of rectangle:

Length * Width

14 * 7

98 ft²

Find the area of semi circle:

1/2 * π * r²

1/2 * 3.14 * (7)²

76.93 ft²

Area of shaded region:

area of rectangle - area of semi-circle

98 ft² - 76.93 ft²

21.07 ft²

8 0

1 year ago