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tangare [24]
3 years ago
5

For f(x) = 3x + 1 and g(x) = x^2 - 6, find (f-g) (x)

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

  B. -x^2 + 3x + 7

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (3x +1) - (x^2 -6) . . . . substitute the functions

= 3x +1 -x^2 +6 . . . . . . . eliminate parentheses; next, collect terms

= -x^2 +3x +7 . . . . . matches choice B

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What is the distance between points A and B?<br><br> units
soldi70 [24.7K]

Answer:

|AB|=6\:units

Step-by-step explanation:

We use the absolute value method to find the distance between two numbers on the number line.

A is at -5 on the number line.

B is at 1 on the number line.

The distance between A and B is

|AB|=|1--5|

|AB|=|1+5|

|AB|=|6|

|AB|=6

5 0
3 years ago
Which set of numbers could represent the lengths of the sides of a right triangle?
Serhud [2]
Your answer is 9,40,41

Because all triangles sides add up to 90 degrees

101% sure
6 0
3 years ago
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What is the slope of the line shown?​
lana66690 [7]

Answer:

I can's make out the line, but, you can plot two points, (try to make them whole numbers ie (3,6), (4,8)), subtract the point with the smallest x value from the other point ((4,8)-(3,6)=(1,2)) Divide the new y, by the new x (2/1), and you have your slope.

Step-by-step explanation:

7 0
3 years ago
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa
n200080 [17]

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

p^4 - 16

Let the factor form of the polynomial is f(p). Thus,

f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2

Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0
2 years ago
!!!!I REALLY NEED HELP!!!!!
Inessa [10]

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

3 0
3 years ago
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