MATHEMATICS HIGH SCHOOL

Given the function f(x)=-2x-1 and g(x)=-3x 4 which operation results in the smallest coefficient on the x term?a. two operations result in the same coefficient
b. subtraction
c. multiplication
d. addition

Answers

Answer 1
Answer:

Answer:

Option (a) is correct.

The smallest  coefficient on x - terms will be obtained by addition and multiplication of two given functions.

Step-by-step explanation:

Given: The function f(x)=-2x-1 and g(x)=-3x+4

We have to find the operation from the given options that results in the smallest coefficient on the x term .

Consider the given function f(x)=-2x-1 and g(x)=-3x+4

b) Subtraction

That is f(x) - g(x)

f(x) -g(x)=-2x-1-(-3x+4)

Apply plus - minus rule -(-a) = a , we have,

f(x)-g(x)=-2x-1+3x-4

f(x)+g(x)=x-5

Here, The coefficient of x is 1.

c) Multiplication

That is f(x)\cdot g(x)=(-2x-1)\cdot (-3x+4)

 \mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

=\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:4+\left(-1\right)\left(-3x\right)+\left(-1\right)\cdot \:4

Simplify, we have,

=6x^2-5x-4

Here, The coefficient of x is -5.

d)  Addition

That is f(x) + g(x)

f(x)+g(x)=-2x-1+(-3x+4)

Simplify, we have,

f(x)+g(x)=-2x-1-3x+4

f(x)+g(x)=-5x+3

Here, The coefficient of x is -5.

a) two operations result in the same coefficient.

When we add or multiply the two given function, we obtain the same coefficient of x that is -5

Hence, The smallest  coefficient on x - terms will be obtained by addition and multiplication of two given functions.
Answer 2
Answer:

Answer:

a. two operations result in the same coefficient

Step-by-step explanation:

Here, the given functions,

f(x) = -2x - 1,

g(x) = -3x + 4,

Subtracting,

Case 1 : f(x) - g(x)

-2x - 1 + 3x - 4 = x - 5

Case 2 : g(x) - f(x)

3x - 4 + 2x + 1 = 5x - 3

Coefficient of x = 1 or 5

Multiplication :

f(x)* g(x) = (-2x - 1) (-3x + 4) = 6x² - 8x + 3x - 4 = 6x² - 5x - 4

Coefficient of x = -5

Addition :

f(x) + g(x) = -2x - 1 - 3x + 4 = -5x + 3

Coefficient of x = -5

Thus, the least coefficient of x = -5

And, two operation ( multiplication and addition ) operations result in the same coefficient

OPTION a is correct.

Related Questions

Which list of ordered pairs represents solutions to x + y = 2 ? (-4, 6), (0, 2), (4, 2) (-4, -6), (0, 2), (4, 2) (-4, 6), (0, 2), (4, -2)
So the question is Subtract 8/x+3 - 5/x+2and i got (3x+1)/(x+2)(x+3) yet the choices are A. (8x+16)/x^2+5x+6 B. (5x+15)/x^2+5x+6 C. (3x+1)/x^2+5x+6 D. 3/x+1
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Multiplicative inverses of -36
Write 720 as a product of its prime factors

Change the fraction 3 /4 to a percent. A. 63% B. 133% C. 75% D. 34%

Answers

3/4 to be converted in fraction.
Based on the choices, let's solve for the percentage form of 3/4
=> First divide 3 by 4
=> 3 / 4 =  0.75
0.75 to be converted to percentage form
=> 0.75 * 100% = 75%
The answer is c.

0.1m+8-12 when m=30 and n=1/4

Answers

Answer: Look at this

Substitute the given numbers and do the arithmetic.

... 0.1·30 + 8 - 12·(1/4) = 3 + 8 - 3 = 8

Step-by-step explanation:

What is the value of 5.7 × 108?

Answers

615.6 is the correct answer that you're looking for
It is  615.6 as the answer 

Carlos is walking on a moving walkway. His speed is given by the function C(x) = 3 x
2
+ 3x - 4, and the speed of the walkway is W(x) = x
2 - 4x + 7.
20. What is his total speed as he walks along the moving walkway?
21. Carlos turned around because he left his cell phone at a restaurant.
What was his speed as he walked against the moving walkway?

Answers

His speed was 2x² + 7x - 11 as he walked against the moving walkway.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that Carlos is walking on a moving walkway. His speed is given by the function

C(x) = 3x² + 3x - 4,

The speed of the walkway is W(x) = x² - 4x + 7.

The total speed as he walks along the moving walkway is;

x² - 4x + 7+ 3x² + 3x - 4,

= 4x² - x + 3,

Given Carlos turned around because he left his cell phone at a restaurant.

If he walked against the moving walkway

- x² + 4x - 7 + 3x² + 3x - 4,

2x² + 7x - 11

Learn more about function here:

brainly.com/question/2253924

#SPJ2
Well, for 20 you just add them, to get 4x^2-x+3. For 21, you do a substraction: 2x^2+7x-11. It'd take him quite some time (does this one even have zeros? :)) )

I need all the answers to question 2 PLEASE HELP ITS URGENT ILL MARK U AS BRAINLISY

Answers

Answer:

its all wht u require.....question no 2

Is 1 prime, composite, or neither?

prime
composite
neither

Answers

Answer: Neither prime nor composite

Step-by-step explanation: Since 1 divides into 1 exactly one time, 1 is the only factor of one. Prime numbers are numbers that only have two factors and composite numbers are numbers with more than two factors. Since 1 only has 1 factor, we will call it neither prime nor composite.
1 is neither prime nor composite
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