All categories

2 years ago

If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f- g)(x).

Mathematics

1 answer:

Andreas93 [3]2 years ago

5 0

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Evaluate

Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
Combine like terms: (f - g)(x) = 3x² - 2x - 6

You might be interested in

Which scenario most likely describes an example of plagiarism?

valina [46]

Answer: Taking a Photo of another photo displayed in an art gallery and claiming it as your own

Step-by-step explanation: Because you are claiming something as your own(when it's not) is considered plagiarism and no other situation is considered plagiarism but this one so really the process of elimination explains the answer to this question

6 0

1 year ago

Which point lies on a circle with a radius of 5 units and center at P(6,1)?

ryzh [129]

Answer:

Option B. $R(2,4)$

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

$(x-6)^{2}+(y-1)^{2}=5^{2}$

$(x-6)^{2}+(y-1)^{2}=25$

step 2

Verify each case

case A) $Q(1, 11)$

substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

$(1-6)^{2}+(11-1)^{2}=25$

$25+100=25$ ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

7 0

2 years ago

Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether o

Setler [38]

Answer:

the incidence of the depression is 1 ÷ 5

Step-by-step explanation:

Given that

There is 250 college students that are surveyed

In the case when 75 students reported for minimum ne engineering class

And, out of this 15 students would be depressed

We need to find out the incidence of the depression

= 15 ÷ 75

= 1 ÷ 5

Hence, the incidence of the depression is 1 ÷ 5

8 0

2 years ago

A can of paint is 11 inches high and Has a diameter of 8 inches. what is the volume of the can in cubic inches?

tensa zangetsu [6.8K]

4^2 = 16

16 x 11 x 3.14 =

V ≈ 552.92

8 0

2 years ago

1. PLEASE HELP. Consider the matrices-

Alex

Answer:

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Step-by-step explanation:

Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.

A = [ 4 7 ] B = [ 5 4 ]

[ -3 8 ] [ 3 6 ]

[ -5 -2 ] [ -1 8 ]

A - B = [ (4 - 5) (7 - 4) ]

[ (-3 - 3) (8 - 6) ]

[ (-5 - -1) (-2 - 8) ]

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Cheers.

8 0

2 years ago