You spend $63 on books and movies. You pay $12 per book and $15 per movie. You buy 3 more books than movies. How many of each item do you buy?

Answer:

Step-by-step explanation:

This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:

[tex]-4p(y-k)=(x-h)^2[/tex]

The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:

[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:

[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:

[tex]-4y-8+16=(x^2+8x+16)[/tex]

The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:

[tex]-4y+8=(x+4)^2[/tex]

We're getting close. Now we need to just factor out the -4 on the left to get:

[tex]-4(y-2)=(x+4)^2[/tex]

If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).

Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...

Answer:

20 gallons of blue paint

Step-by-step explanation:

The ratio is blue to green right?

5:2

You already know the green

8

divide 8 by its part of the ratio.

8/2

4

Times 5 by 4

20

20 blue paints and 8 green paints.

Answer:

-3 times -3 that is -4 exponent two in expanded form

Step-by-step explanation:

-3²

= -3 • -3

eg. Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.

Answer:

-50

Step-by-step explanation:

The y-intercept of any function is the value of the function when x = 0.

Therefore, g(x) has the greatest y-intercept.

Answer:

Step-by-step explanatioen:

Answer:

4 months

Step-by-step explanation:

Answer:

[tex]0 > - \frac{3}{7} \\ - \frac{2}{7} > - \frac{3}{7} [/tex]

Step-by-step explanation:

Only the third option is wrong.

Answer:

Step-by-step explanation:its ratxrat

...

The zeros of the divisor,

x-3=0,x=3

f(3)=4(3)²-3-3=30

The remainder is 30

Answer:

27 cars are blue

Step-by-step explanation:

if you have 150 cars and 18% are blue, you will have to multiply 0.18 x 150 and that equals to 27, so 27 cars are blue

Answer:

nearest tenth is 23.5

nearest hundredth is 23.55

Step-by-step explanation:any number more than 5 is rounded up to +1 for the next number so for tenth 23.546= 23.5 and for hundredth 23.546=23.55

Answer:

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

 +2x            +2x

2x - 2 - 5 + 2x = 1

       +7               +7

          4x = 8

        ÷4     ÷4

          x = 2

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.

The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .

Required:

The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.

Solution;

The given information in option [1] are;

Option [2]

Option [3]

Option [4]

Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.

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Answer:

=

−

4

Step-by-step explanation:

2

−

2

+

1

=

7

Answer:

Ok that other answer is invalid the actual answer is = -4

Step-by-step explanation:

If you need a step by step let me know :)

Answer:

C. m<C = m<F

Step-by-step explanation:

this is because in their triangle names, they are in the same spot (third letter of the name)

if they are in the same spot, they have to be congruent

same goes for the other letters, <A has to be congruent to <D and <B has to be congruent to <E

Answer: The first.

Step-by-step explanation: If you draw out a triangle and lable the points on each point with values from each triangle, you get J=M, K=N, and L=O. The first is the only one that proves it.

Answer:

31.5

Step-by-step explanation:

just divide the numbers

Answer:

Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You can identify the lines by the sign of the slope and the value of the y-intercept. Each point of interest is at the intersection of a line with positive slope and a line with negative slope. So, you can identify the pair of lines by their two different y-intercepts.

Clockwise from lower left (3rd quadrant), the pairs of y-intercepts associated with the intersection of interest are ...

If the answer choices are designated A–E, left to right, the corresponding list is (again, clockwise from lower left) ...

The smaller number is 15

let

the larger number = x

the smaller number = y

Therefore,

The difference between the two whole numbers is 9 can be express as follows:

Twice the smaller number is 6 more than the larger. Therefore,

Combine the equation.

x - y = 9

-x + 2y = 6

y = 15

x - 15 = 9

x = 9 + 15

x = 24

Therefore,

The larger number = 24

The smaller number = 15

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Answer:

4.5 is the answer 9/2=4.5

Step-by-step explanation:

Answer:

7) x=-2

11) x=3

8) x=0

12)x = 3/4 = 0.750

Step-by-step explanation:

7)Let's solve your equation step-by-step.

4x+34=8−9x

Step 1: Simplify both sides of the equation.

4x+34=8−9x

4x+34=8+−9x

4x+34=−9x+8

Step 2: Add 9x to both sides.

4x+34+9x=−9x+8+9x

13x+34=8

Step 3: Subtract 34 from both sides.

13x+34−34=8−34

13x=−26

Step 4: Divide both sides by 13.

13x

13

=

−26

13

x=−2

Answer:

x=−2

11) Let's solve your equation step-by-step.

2x−18=−9−x

Step 1: Simplify both sides of the equation.

2x−18=−9−x

2x+−18=−9+−x

2x−18=−x−9

Step 2: Add x to both sides.

2x−18+x=−x−9+x

3x−18=−9

Step 3: Add 18 to both sides.

3x−18+18=−9+18

3x=9

Step 4: Divide both sides by 3.

Answer:

x=3

8) Let's solve your equation step-by-step.

−x−7=3x−7

Step 1: Subtract 3x from both sides.

−x−7−3x=3x−7−3x

−4x−7=−7

Step 2: Add 7 to both sides.

−4x−7+7=−7+7

−4x=0

Step 3: Divide both sides by -4.

−4x /-4=0 /-4

x=0

12)

x=3/4=0.750

We move all terms to the left:

x-(3/4)=0

We add all the numbers together, and all the variables

x-(+3/4)=0

We get rid of parentheses

x-3/4=0

We multiply all the terms by the denominator

x*4-3=0

Wy multiply elements

4x-3=0

We move all terms containing x to the left, all other terms to the right

4x=3

x=3/4

Answer:

− 17/4  or −4.25

hope it helps

Answer:

D. 224 inches

Step-by-step explanation:

Length of the new rectangle after dilation = 22 × ⁷/2 = 77 inches

Width of the new rectangle after dilation = 10 × ⁷/2 = 35 inches

Perimeter of rectangle = 2(length + width)

= 2(77 + 35)

= 2(112)

Perimeter = 224 inches

Answer:

10.80

Step-by-step explanation:

12% of $9 dollars is $1.08 rounded is 1.080

btw if this was a real job id quit even though im in 6th

The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.

You decide to take a second job that pays $9 dollars an hour.

Taxes are 12% of your earnings, and you are able to save the rest.

Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.

From the data given, we can frame a linear equation in one variable.

987 = 9x - 12% of 9x

987 = 9x - (0.12)(9)x

987 = 9x - 1.08x

7.92x = 987

x = 987/7.92

x = 124.62 ≈ 125 hours

Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.

Learn more about the linear equation here:

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Answer:

The euation of the linear function is:

Step-by-step explanation:

As the function has the values

Thus, the two points are:

Finding the slope between (5, -1) and (0, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-1\right)}{0-5}[/tex]

[tex]m=0[/tex]

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

Answer:

maybe a that's my answer

Answer:

The slope between the points (0, -6) and (3, -2) will be:

Step-by-step explanation:

Given the points

The slope between the points (0, -6) and (3, -2) will be:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-6\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-6\right)}{3-0}[/tex]

[tex]m=\frac{4}{3}[/tex]

Therefore, the slope between the points (0, -6) and (3, -2) will be: