All categories

3 years ago

If f(x) = 5x − 1 and g(x) = 2x2 + 1, what is the value of (f × g)(-3)?

Mathematics

1 answer:

Softa [21]3 years ago

6 0

f(x) = 5x − 1 and g(x) = 2x^2 + 1

(f × g)(x) = (5x − 1)(2x^2 + 1)

(f × g)(x) = 10x^3 - 2x^2 + 5x - 1

Substitute x = - 3

(f × g)(-3) = 10(-3)^3 - 2(-3)^2 + 5(-3) - 1

(f × g)(-3) = 10(-27) - 2(9) -15 - 1

(f × g)(-3) =-270 - 18 - 16

(f × g)(-3) = -236

Answer

- 236

You might be interested in

Explain the distance formula. Then use it to calculate the

Alex777 [14]

Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

$dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}$

$dAB=\sqrt{(-8)^{2}+(6)^{2}}$

$dAB=\sqrt{64+36}$

$dAB=\sqrt{100}$

$dAB=10\ units$

6 0

3 years ago

Read 2 more answers

Help I’m confused on how to do this

MrRa [10]

The correct answer is 0.1

6 0

2 years ago

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

serious [3.7K]

9514 1404 393

Answer:

13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

663 = x(4x -1)

4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

x = 104/8 = 13

4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

I find it easiest to solve these using a graphing calculator.

8 0

3 years ago

Please Help! Will Give Brainlest!

ella [17]

Answer:

Step-by-step explanation:

amplitude = distance from undisturbed position/centre line to trough or peak

8 0

2 years ago

Read 2 more answers

Find the equation of a line that has the same slope ask why equals 10-4x and the same Y intercept is why equals -9x-8

Alborosie

Answer:

$y=-4x-8$

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

1) Find the slope of the given line $y=10-4x$

The slope is $m=-4$

2) Find the y-intercept of the given line $y=-9x-8$

The y-intercept is $b=-8$

therefore

The equation of the line with

$m=-4$

$b=-8$

is equal to

$y=-4x-8$

3 0

3 years ago