MATHEMATICS HIGH SCHOOL

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer 1

Answer:

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

$\text{unit rate per hour} = (1600)/(400) = 4$ dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

From the given tables:

Consider two values (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

$\text{Slope} = (12-(-8))/(5-1)$

⇒ $\text{Slope} = (20)/(4) =5$

⇒Slope of g(x) = 5

$\text{Slope of g(x)} > \text{Slope of f(x)}$

Therefore, the function g(x) has faster slope.

Answer 2

Answer: f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

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Answers

The value of A will be equal to A=8 for the given expression.

What is expression?

Mathematical expressions are combinations of numbers and variables ordered with operations.

We have the expression.

$(A)/(2)=4$

$A=4* 2$

$A=8$

Hence the value of A will be equal to A=8 for the given expression.

To know more about expressions follow

brainly.com/question/723406

#SPJ2

A divided by 2 equals 4.

1) do inverse operation which is multiplication
2) do 2 times 4
3) that equals 8
4) now we plug it in a= 8
5) we check our work....
8/2 = 4
Yay! it fits now we know our answer a=8 is correct!

I don’t understand at all

Answers

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of $(1)/(4)$ , so that is what we are multiplying.

g(x) = $(1)/(4)$ |x - 2| - 1

^That is your transformed function.

#teamtrees #PAW (Plant And Water)

Find the product of 2x4(4x2 + 3x + 1). 8x6 + 6x5 + 2x4

8x8 + 3x4 + 2x4

2x4 + 6x5 + 8x6

6x6 + 5x5 + 3x4

Answers

Answer:

The product of the $2x^(4)(4x^(2)+3x+1)$ is $8x^(6)+6x^(5)+2x^(4)$ .

Step-by-step explanation:

As given the expression in the question be

$= 2x^(4)(4x^(2)+3x+1)$

First open the bracket

$= 2x^(4)* 4x^(2)+2x^(4)* 3x+2x^(4)* 1$

Now by using the property

$x^(a)* x^(b)=x^(a+b)$

$= 8x^(6)+6x^(5)+2x^(4)$

Therefore the product of the $2x^(4)(4x^(2)+3x+1)$ is $8x^(6)+6x^(5)+2x^(4)$ .

$2x^4(4x^2 + 3x + 1)=\n\n(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\n\n8x^6 + 6x^5+2x^4$

The answer is A.

Use parentheses to make 5+4×3×3

Answers

the aNSWER IS 41..AM I RIGHT?

are you asking for the parenthesis so that they can be in order or are you asking for the answer? either way, here you go:

=5+[(4x3)x3]
=5+12x3
=5+36
=41

A prize was awarded to 40 women and 894 men.a. What fraction of the prize winners were women?
b. What fraction were men?
a. The fraction
nothing represents the prize winners that were women.

Answers

A. The fraction of the prize winners won by women is 40/934, but if you simplify, it's 20/467.
B. The fraction of the prize winners that were men is 894/934, but if you simplify, it's 447/467.

What is the first step of the following division problem?(8x^3 – x^2 + 6x + 7) ÷ (2x – 1)

A. Divide 8x^3 by 2x.
B. Divide 2x by 8x^3.
C. Divide 6x by 2x.
D. Divide 2x by 6x.