MATHEMATICS HIGH SCHOOL

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

Answer 1
Answer:

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
Answer 2
Answer: 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? :)) )

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What is -3 1/3 - -5 2/3

Answers

2 1/3
because -3 1/3+5 2/3
The answer is 3 because you subtract -3 and 5 and get 2 but then u add the 3/3 and get 1 which u add to the 2 and get 3 as your answer

Find the inverse function of g(x) = 2x + 4.g -1(x) = 4x + 2
g -1(x) = 2x + 1/2
g -1(x) = 1/2 x - 2
g -1(x) = 2x - 4

Answers

Answer:

g^(-1)(x)=(1)/(2)x-2

Step-by-step explanation:

First, let's rename this as y = 2x + 4.

In order to find the inverse, switch the x and the y, then solve for the new y.

x = 2y + 4 so

2y = x - 4 and

y=(1)/(2)x-2

Putting it back into function notation:

g^(-1)(x)=(1)/(2)x-2

26' long painting is how many yards long

Answers

26' long means 26 feet.

1 yard is equal to 3 feet

convert feet to yards

26 feet * 1yard/3feet = 26yard/3 = 8.67 yards or 8 2/3 yards

Solve for n. 3(n-19)/5=0

Answers

When you have a fraction like this, just know that the denominator does not matter. The numerator does because 0/any number = 0. 
There are many ways to solve this: 
Distribute
(3n-57)/(5) =0
(3n-57)/(5) *5=0*5 << the 5/5=1
3n-57=0 << add 57 to both sides
3n=57
(3n)/(3) = (57)/(3) << divide 3 on both sides
57/3=19
OR
Pretend that n-19 = a
(3a)/(5) =0
Multiply 5 on both sides, so you get 3a=0. Then, you divide 3 on both sides. 
a=0. 
DO NOT FORGET, n-19 = a. 
So, n-19=0. 
Isolate n by adding 19 to both sides, and 
n=19.
3( n - 19 ) = 0 ;
n - 19 = 0 ;
n = 19 .

Which expression is a difference of squares with a factor of 5x − 8?25x2 − 16
25x2 + 16
25x2 − 64
25x2 + 64

Answers

Answer:

option  (3) is correct.

25x^2-64

Step-by-step explanation:

 Given :  factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using  algebraic identity a^2-b^2=(a+b)(a-b)

a difference of squares is written mathematically as a^2-b^2

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus (5x+8)(5x-8)

On simplify , we get

(5x+8)(5x-8)=(5x)^2-8^2=25x^2-64

Thus, option  (3) is correct.
a2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

Ellen plans to have two children but doesn't know if they will be boy-boy, girl-girl, or boy-girl. What is the probability that she will have two girls?0.25
0.5
0.75
1.00

Answers

Answer:

Option A. 0.25

Step-by-step explanation:

Ellen plans two children but does not know if they will be boy-boy, girl-girl or boy-girl.

For the first baby to be the girl child

Probability = (1)/(2)

Similarly probability for second baby to be the girl child will be (1)/(2)

Now both the children are girl to probability for this event will be

= (1)/(2) × (1)/(2)

= (1)/(4)

= 0.25

Option A. 0.25 is the answer.
.25 because you would look at it like a boy-girl situation and this problem is more of a science problem. Anyways, if you do BG(BoyGirl) x BG(BoyGirl) it equals BB(Boy Boy), BG( Boy Girl ), another BG and a GG ( Girl Girl ) so there is a 1/4 chance of having 2 girls which is the same as .25. 
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