Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1. Represent this situation mathematically. If you use variables, specify what each one means and how many hours per week can Lin work? explain or show reasoning ​

Answer:

y=1/2x+1/2

Step-by-step explanation:

plot the points

we know the y-intercept is 1/2 because of (0,1/2)

count how many times it goes up and how many times it goes down

then simplify your slope

write in y=mx+b form

Answer:

It is said that g is increasing when the slope is positive.

Answer:

9.9 hours, rounded to the nearest tenth hour.

Step-by-step explanation:

To calculate the time of travel, we must first divide the distance by the speed. Why, you ask? Because of this equation:

[tex]Speed\=\ \frac{distance}{time}[/tex]

Therefore, with a little bit of arrangement, we get:

[tex]Time\=\ \frac{distance}{speed}[/tex]

So, let's get on with it.

[tex]Time\=\ \frac{643 \ miles}{65 \ mph}[/tex]

[tex]Time\=\ 9.9 \ hours [/tex]

Finally, we have our answer: 9.9 hours, rounded to the nearest tenth.

Hope this helped!

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

4.75

Step-by-step explanation:

Equation:8x-6=32

8x=38

x=4.75

The value of x from the equation 8x - 6 = 32 is x = 4.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

8x - 6 = 32   be equation (1)

On simplifying the equation , we get

Adding 6 on both sides of the equation , we get

8x = 38

Divide by 8 on both sides of the equation , we get

The value of x = 4.75

Therefore , the value of x is 4.75

Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75

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Answer:

19.9 is the answer

Step-by-step explanation:

10 percent of 199 is 19.9

Answer:  [tex]f^{-1}(x) = -\sqrt{36-x^2}[/tex]

====================================================

Here are the steps to find the inverse

[tex]f(x) = \sqrt{36-x^2}\\\\y = \sqrt{36-x^2}\\\\x = \sqrt{36-y^2} \ \text{ swap x and y; solve for y}\\\\x^2 = 36-y^2\\\\x^2+y^2 = 36\\\\y^2 = 36-x^2\\\\y = \sqrt{36-x^2}\\\\f^{-1}(x) = \sqrt{36-x^2}\\\\[/tex]

Now this would be the answer if our original domain was [tex]0 \le x \le 6[/tex]

However, that's not the case and instead our domain is [tex]-6 \le x \le 0[/tex]

Reflecting any (x,y) point in this domain restriction, over the the line y = x, will have us land on a point with a negative y value. This is because the inverse will swap the x and y values.

Therefore, the inverse function must ultimately be negative.

Currently [tex]f^{-1}(x) = \sqrt{36-x^2}[/tex] is positive since the result of any square root is never negative.

To fix this, we stick a negative out front to get the final answer being [tex]f^{-1}(x) = -\sqrt{36-x^2}[/tex]

You're welcome? :3

I'm sorry if I don't understand what you are asking.

Have an amazing day, my friend!

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

Step-by-step explanation:

Since x is equal to -5, you would need to substitute that value for x in the equation x^2 + y^2 = 25. So....

-5^2 + y^2 = 25

(-5)*(-5) + y^2 = 25

25 + y^2 = 25

y^2 +25 - 25 = 25 - 25

y^2 = 0

y = 0

(x, y) = (-5, 0)

To check the answer....

x^2 + y^2 = 25

-5^2 + 0^2 = 25

25 + 0 = 25

25 = 25

The answer should be correct, if not i am extremely sorry

Hope this helps!!!

Answer:

y= -1/3x-4

y=2x+2

Step-by-step explanation:

the slope is rise over run

Answer:

Step-by-step explanation:

1.24

Answer:

3600

540

120

18

4278

Step-by-step explanation:

Answer: the answer is 13.6 units

Step-by-step explanation:

Answer:

C. 13.6 units

Step-by-step explanation:

i took the quiz on edge

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Step-by-step explanation:

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Give the person above a brainliest

Answer is

4.89

Step-by-step explanation

Answer:

point B is in quadrant I and point D is in quadrant II

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

6+1/3*12=6+4=10

Answer: 10

Step-by-step explanation:

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

Answer:

what?

Step-by-step explanation:

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer:

for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49

Answer:   The height is 3  units.

Step-by-step explanation:

By using the give figure we can form right angle out of the whole figure  with a base of  4  and an hypotenuse of 5.

By using this information we can use the Pythagorean Formula to find the height

a^2 + b^2 =c^2     a= base, b = height and c will be the hypotenuse.

4^2 + b^2 = 5^2     Solve for B

16  + B^2 = 25  

-16               -16

    b^2 = 9    

    b = [tex]\sqrt{9}[/tex]  

  b  = 3

The height, h, of the triangular prism is 3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.

Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.

By using Pythagoras theorem,

5²=h²+4²

25=h²+16

h²=9

h=3

Therefore, the height, h, of the triangular prism is 3 units.

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Answer:9

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Multiples of 6:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Therefore,

LCM(6, 8, 9) = 72

Answer:

68 Chips

Step-by-step explanation:

On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.

Answer:

A = 51°   b = 15.3858...   c = 24.448

Step-by-step explanation:

Given: B= 39°

a = 19

and that it's a right triangle

so that means the other 3rd angle is

A+39+90=180

A= 51°

use SOH CAH TOA to remember how sin cos and tan fit on the triangle

Sin(x)=Opp/Hyp    Cos(x)=Adj/Hyp  Tan(x)=Opp/Adj

Let's use  Tan to find b

Tan(b) = Opp / Adj

Tan(39) = b / 19

19*Tan(39) = b

15.38589... = b

use Pythagoras to find c

c = [tex]\sqrt{a^{2} +b^{2} }[/tex]

c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]

c = 24.448....

Step-by-step explanation:

x^2+9x<-20

x^2+9x+20<0

( x+5)(x+4)<0

x+5<0,x+4<0

x<-4 (because x<-5 is extraneous solution)

Answer:

A. Infinite

Step-by-step explanation:

First lets define a polynomial function. A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation.

Well Infinite functions are functions that have an answer of all real numbers right? So that would make sense.

Honestly I've never heard of an indiscriminate.

Irrational function has answers that can only be zero or above never negative because its inside a radical sign and radical answers can't be negative. If you've ever seen the graph of an irrational function though it looks nothing like a polynomial.

A rational function is a function that the polynomial in it does not equal zero.

A polynomial function is not always a rational function though. But it can be.

I hope this helps. <3

The Polynomial function is also a :

Rational Function

Discriminant of a polynomial in math is a function of the coefficients of the polynomial.

There can be irrational Coefficient in a polynomial.

Yes, All polynomials are rational expressions but all rational expressions need not be polynomials.

Consider a polynomial p(x).This can be written as a rational expression as p(x)/1.

So, The Polynomial function is also a :

Rational Function

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Answer:

y = -x - 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

x + y = -4

Step 2: Rewrite

Find slope-intercept form

Answer:

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] a real function, we define the following function operations:

Horizontal translation

[tex]g(x) = f(x + a)[/tex] (1)

If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.

Vertical translation

[tex]g(x) = f(x) + a[/tex] (2)

If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.

Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:

[tex]g(x) = \log_{2} (x+5)-4[/tex]

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].