Marc doesn’t think that the angle of the front seat in his mom’s car is very cool, so he tilts the seat back. If m∠XWZ=115° and m∠YWX=15°, find m∠YWX

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

∵ f(x) = x + 4 if x < 5 ⇒ First part

→ That means if x less then 5 we will use this part of f(x)

∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

∵ x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

∴ f(0) = 4

b. The value of f(6)

∵ x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

∴ f(6) = 8

Answer:

x = [tex]\frac{4}{3}[/tex], x = 1

Step-by-step explanation:

To find the x- intercepts, let y = 0 , that is

3x² - 7x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 4 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 4) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 4 = 0 ⇒ 3x = 4 ⇒ x = [tex]\frac{4}{3}[/tex]

x- intercepts are x = [tex]\frac{4}{3}[/tex] , x = 1

([tex]\frac{4}{3}[/tex], 0 ), (1, 0 ) ← in coordinate form

Answer:

x: -16

y: 4

Step-by-step explanation:

Answer:

the same as the others

you dont know the first two  im not smart srry

Step-by-step explanation:

Answer:

The answer is y=4x-5

A system of equations has 1 solution. If 4x – y = 5 is one of the equations, which could be the other equation?

y = –4x + 5

y = 4x – 5

2y = 8x – 10

–2y = –8x – 10

–2y = –8x – 10

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

[tex]x+2=xr[/tex]

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

[tex]x+3=xr^2[/tex]

Solve for x. From the second term, we can divide both sides by x:

[tex]\displaystyle r=\frac{x+2}{x}[/tex]

Substitute this into the third equation:

[tex]\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2[/tex]

Square:

[tex]\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)[/tex]

Simplify:

[tex]\displaystyle x+3=\frac{(x+2)^2}{x}[/tex]

We can multiply both sides by x:

[tex]x(x+3)=(x+2)^2[/tex]

Expand:

[tex]x^2+3x=x^2+4x+4[/tex]

Isolate the x:

[tex]-x=4[/tex]

Hence, our first term is:

[tex]x=-4[/tex]

Then our common ratio r is:

[tex]\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}[/tex]

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

Answer:

$12

Step-by-step explanation:

Answer:

what kind of question is that lol

Answer:

Cost is G for t hours =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

Step-by-step explanation:

According to question parking garage takes

5$ for 0 to 1hr

10$ for 0 to 2hr and

12$ for 0 to 24hr

Let t be the time for which car is parked in garage and the total cost is G then

G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]  

therefore cost is G =[tex]\left \{ {5t for{t=0 <t<2} \atop 12 for{t >2}} \right.[/tex]

The cost of parking a car for 5 hours is required.

Cost of 5 hours will be $25.

The cost of parking for each hour = $5

The cost of parking for entire day = $120

Let [tex]t[/tex] be the number of hours

[tex]G[/tex] be the total cost.

The function will be

[tex]G(t)=5t[/tex]

The cost at 5 hours will be

[tex]G(5)=5\times 5=25[/tex]

So, cost of 5 hours will be $25.

Learn more:

https://brainly.com/question/22136086

C. -4/3

[tex]slope = \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )} \\ = \frac{( - 6 - 2)}{(0 -( - 6)} \\ = \frac{ - 8}{ 6} \\ = - \frac{4}{3} [/tex]

Answer:

Q1: B. UHWXUQV

Q2: None of these answers equal 12 so I'll just tell you the answers for all of them in case you mistyped.

a. 66

b. 82

c. 120

d. 109

Im assuming you meant 120. If so, your answer is c.

Answer:

58°

Step-by-step explanation:

65+57+x=180 [SUM OF INTERIOR ANGLE OF TRIANGLE]

x=180-57-65

x=58°

Answer:

No the rate of dollars per lawn is not constant

PLEASE MARK ME AS BRAINLYEST

Step-by-step explanation:

Answer:

12.5 %

Step-by-step explanation:

$14.50 / $1.16 = 12.5%

Answer:

4x-3

hope this helps

Answer:

the answer its 49

Step-by-step explanation:

simple math just subtract 90-41 and you will get 49

Answer:

114 degrees

Step-by-step explanation:

a line equals 180 degrees, so you subtract 66 from 180

Answer:

∠TYK=114°

Step-by-step explanation:

Angles TYK and KYB are supplementary, meaning they add up to a total of 180°:

[tex]66+x=180\\\\66-66+x=180-66\\\\x=114[/tex]

∠TYK=114°

:Done

Answer:

Step-by-step explanation:

There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.

The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.

Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.

10C5 = 252

6C5 = 6

Therefore the required number of ways = 246

[tex] 17 - 9 > x \\ 8 > x \\ x < 8 \\ = = c \: [/tex]

Answer:

what is it?

Step-by-step explanation:

Answer:

D because the y is steadily decreasing by 2

Answer:

-3xy + 18y

Explanation:

9xy−12xy+18y

=9xy+−12xy+18y

Combine Like Terms:

=9xy+−12xy+18y

=(9xy+−12xy)+(18y)

=−3xy+18y

Answer:

=−3xy + 18y

Answer:

-3xy + 18y

Step-by-step explanation:

Answer:

Option B: $20x + $30 < $170 is the correct answer.

Step-by-step explanation:

Given that:

Service fee of Tina's business = $30

Per day charges = $20

Number of days =  x

Customer's budget = less than $170

According to given statement;

20x + 30 < 170

Hence,

Option B: $20x + $30 < $170 is the correct answer.

Answer:

$58,194

Step-by-step explanation:

9,699 × 6 = 58,194

Answer:

58,194

Step-by-step explanation:

Answer:

3:1

Step-by-step explanation:

boys: girls

15         45

We want girls to boys

girls: boys

45   :  15

Divide each side by 15

45/15   : 15/15

3       :1

Answer:

70/x

Step-by-step explanation:

Answer:

136.86 or 137

Step-by-step explanation:

21÷3x10+66.86

here's what I did...

as simplified its: 137

Answer:

The answer is 12.

Step-by-step explanation:

If you multiply 18 by 50, you would get how long the trip is, which is 900 miles. Then, divide 900 by 75, you would then get the answer of 12. The trip would take 12 hours at 75 mph.