Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Step-by-step explanation:

here is ur answer pls check it

Answer:

y=4

Step-by-step explanation:

4y+2+y=4y+6

4y-4y+y=6-2

y=4

hope it helps

Answer:

4

Step-by-step explanation:

Answer:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

For the particular case of horizontal lines, those will be of the form:

y = constant.

The vertical lines will be of the form:

x = constant.

Let's start with line a, this is a vertical line, then will be:

x = constant.

To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:

x = -4

For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.

Now for the horizontal lines:

Line c will be of the form:

y = constant

To find the value of the constant you need to see in which point the line intersects the y-axis.

In this case the line intersects the axis at y = 4.

Then this line can be written as: y = 4

For line d, we can see that it intersects the y-axis at -2, then this line will be written as:

y = -2.

For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.

(0 , 1) and (4, -2)

Then the slope will be:

a = (-2 - 1)/(4 - 0) = -3/4

y = -(3/4)*x + b

To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.

1 = -(3/4)*0 + b

1 = b

Then the equation for line e is:

y = -(3/4)*x + 1.

Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13

Answer:

All real values

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{3})^x[/tex]

Required

Determine the domain

The domain of a function are the values of x that makes the function to be defined.

From the given function, we can see that no single value of x will make the function become undefined.

Hence, the domain is:

x = (-∞, +∞)

In other words, the domain implies that all real numbers.

Hence:

Option (A) answers the question.

Answer:

[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]

[tex]\therefore\sf f (-7)=48 [/tex]

Answer:

:⟶f(x)=6(1−x)

{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))

{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)

{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)

{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48

\therefore\sf f (-7)=48∴f(−7)=48

Answer:

$1,120

Step-by-step explanation:

Lenders prefer to see a debt-to-income ratio smaller than 36%, with no more than 28% of that debt going towards servicing your mortgage. 12  For example, assume your gross income is $4,000 per month. The maximum amount for monthly mortgage-related payments at 28% would be $1,120 ($4,000 x 0.28 = $1,120).

Answer:

Yes! You would sub 10-3x for y and solve.

Don't forget to use the distributive property! Your answer should be 5.

Answer: 5

Step-by-step explanation:

This question is basically asking:

6 = 30 ÷ ?

We can use a fact family to find the value.

30 ÷ 6 = 5

The answer is 5.

Answer:C

Step-by-step explanation:

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

[tex]\frac{8+-\sqrt{64-4(1)(25)} }{2a}[/tex]=[tex]\frac{8+-\sqrt{64-100} }{2}[/tex]=[tex]\frac{8+-\sqrt{-36} }{2}[/tex]

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

Answer:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Step-by-step explanation:

Solve:

[tex]x^2+4x+20=12x-5[/tex]

Move everything to the left side:

[tex]x^2+4x+20-12x+5=0[/tex]

Simplify:

[tex]x^2-8x+25=0[/tex]

Apply the solver formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1, b=-8, c=25. Thus:

[tex]\displaystyle x=\frac{8\pm \sqrt{(-8)^2-4(1)(25)}}{2*1}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{64-100}}{2}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{-36}}{2}[/tex]

The solutions are complex numbers:

[tex]\displaystyle x=\frac{8\pm 6\mathbf{i}}{2}[/tex]

Simplifying:

[tex]x=4\pm 3\mathbf{i}[/tex]

Two solutions are found:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Answer:

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Step-by-step explanation:

Given that we have;

[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]

[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]

[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]

[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]

[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]

Therefore;

[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]

[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]

Answer:

ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

11 is more than 6 and less than 24

9 is more than 4 and less than 26

15 is more than 2 and less than 20

Answer:

-3/2x +2

Step-by-step explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

                     5 = 3+b (subtract 3 from both sides)

                      2 = b (your y intercept)

Answer: y=[tex]\frac{-3}{2}[/tex]x+2

Step-by-step explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

    Slope intercept form=(y₂-y₁)/(x₂-x₁)

    (-4-5)/(4-(-2))

    (-9)/(4+2)

    -9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

    Equation for point-slope: y-y₁=m(x-x₁), where m=slope

    y-5=[tex]\frac{-3}{2}[/tex](x-(-2)

    y-5=[tex]\frac{-3}{2}[/tex](x+2)

    y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]

    y-5=[tex]\frac{-3}{2}[/tex]x-3

(Add 5 to both sides)

    y=[tex]\frac{-3}{2}[/tex]x+2

Answer:

Step-by-step explanation:

do the two small rectangle first. they are 2 by 8's meaning that one side is 16 and the other 16 (16+16=32)

Now for the big one which is a 6 by 6 (6*6=36)

add 36 + 32 and the area is 68

Answer:

Options (1) and (3)

Step-by-step explanation:

Option (1)

f(x) = x²+ 3

We can rewrite the function in the equation form as,

y = x² + 3

By interchanging y by x,

x = y² + 3

Now we solve it for y,

y² = x - 3

y = ±√(x - 3)

So the inverse function is,

[tex]f^{-1}(x)=\pm \sqrt{x-3}[/tex]

It's a function.

Option 2

d(x) = -9

Equation form of the function is,

y = -9

Replacing y by x,

x = - 9

Therefore, inverse function will be,

x = -9

Inverse is not a function

Option 3

m(x) = -7x

Equation form of the function,

y = -7x

Interchanging y by x,

x = -7y

Now solve for x,

y = [tex]-\frac{1}{7}x[/tex]

So the inverse function will be,

[tex]m^{-1}(x)=-\frac{1}{7}x[/tex]

Inverse is a function.

Option 4

p(x) = |x|

As this function not a one to one function inverse function is not possible.

Inverse of |x| is not a function.

Answer:

2/3

Step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

sry if wrong but i hope it helps

Answer:

-24 - 2x

Step-by-step explanation:

-3(4x2)-2x

-3(8) - 2x

-24 - 2x

her unit rate was about 11.7 miles per hour.

divide 93.5 by 8 to get answer.

hope this helps.

i could also be wrong.

Answer:

It's Parallel

Step-by-step explanation:

Perpendicular have to intersect  

Answer:

6.75

Step-by-step explanation:

So basicly we know the area of the rectangle which really helpful.

So lets take the formula of the are for the triangle, which is b*h*1/2

So we know that the height and bass of the triangle is the same as the rectangle's legnth and width.

Meaning that we can replace b*h with 13.5.

So plug that into the quation.

13.5*1/h= Area of ACE

6.75= Area of ACE

hence, 6.75 is your answer

The area of the triangle ACE is; 6.75 square units.

According to the question; a triangle is inscribed in a rectangle with each vertex of the triangle lieing on a side of or at a vertex of the rectangle.

In essence, to find the number of square units in the area of shaded triangle ACE,

We have to divide the area of the rectangle by 2.

Therefore, the area of the triangle ACE is;

6.75 square units.

Read more:

https://brainly.com/question/17390758

Answer:

Step-by-step explain

1. 30-50=20

2. Two negatives equal a positive

So first you subtract 30 by 50 and get 20 then you look at the signs which are both negative. Meaning both of the negative signs become a positive. (-30)-(-50)=20

Answer:

Step-by-step explanation:

Addition I think

Answer:

1.1x10^3

Step-by-step explanation:

You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.

Answer:

B.11

Step-by-step explanation:

It's 27 degrees so,

3 times 11 is 33 and 33 - 6 is 27

Answer: Answer is B- 11

Step-by-step explanation: got it right on edge

i love you too thank u soo much ill do the same

Answer:

3 whole pizzas required.

Step-by-step explanation:

Given that:

Total number of friends invited by Bob = 11

Total number of people on the birthday party = 11 friends + 1 Bob himself = 12

Each friend has eaten = 2 pieces of pizza

Number of slices in one whole pizza = 8

To find:

Number of whole pizzas required at the birthday party.

Solution:

First of all, let us find the number of slices required for the birthday party.

Number of slices of pizza required for the birthday party = Number of slices eaten by each person multiplied by number of persons at party.

Number of slices of pizza required for the birthday party = 12 [tex]\times[/tex] 2 = 24

Now, let us divide the total number of slices with the number of slices in one whole pizza to find the total number of whole pizzas required for the party.

Number of whole pizzas required:

[tex]\dfrac{24}{8} = \bold{3}[/tex]

Answer:

The answer is D

Step-by-step explanation:

Answer:

2.5 cups of milk

Step-by-step explanation:

Given that,

A cake recipe calls for 1.5 cups of milk and 3 cups of flower.

Seth made a mistake and used 5 cups of flour.

We need to find number of cups of milk he use to keep the proportions correct. Let he used x cups of milk.

[tex]\dfrac{1.5}{3}=\dfrac{x}{5}\\\\x=\dfrac{1.5\times 5}{3}\\\\x=2.5[/tex]

Hence, he should use 2.5 cups of milk.