The price of a certain new car increases by the same amount each year the first year it was $17,200 and then the 12th year it was $30,400 in which year with a car cost $36,400?

Answer:

The car will travel  525 miles on 15 gallons of gas.

Step-by-step explanation:

Given that car can travel 35 miles using 1 Gallon of gas.

so

Unit rate = 35 miles per gallon

Thus,

The number of miles a car can travel in 15 gallons = 15 × 35

                                                                                    = 525 miles

Thus, the car will travel  525 miles on 15 gallons of gas.

Answer:

3

Step-by-step explanation:

the answer is x=3 because 4x3 = 12 + 1 = 13. there's your answer. please mark me brainliest!!!

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units

Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.

3/15=[tex]\frac{1}{5}[/tex]

I hope this helps!

Answer:

5/2 is the answer which is the last one

Answer: ∠B = 82°

Step-by-step explanation:

To find the measure of B, you have to find the measure of A.

m∠143° + m∠A = 180° because they are a linear pair

m∠A + 143 = 180

Subtract both sides by 143

m∠A = 37

Since you know the measure of angle A, you can find angle B

Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.

∠B + ∠A + ∠C = 180°

Substitute

∠B + 37 + 61 = 180

∠B + 98 = 180

Subtract 98 from both sides

∠B = 82°

Answer:

1) 4/15

2) 15/15?

Step-by-step explanation:

1) 3/5-1/3

  9/15-5/15

  4/15

2) 15/15?

Answer:

See below

All the inequalities can be solved by making a table, but once they are simple factored quadratic expressions, we already know what interval it will have.

Step-by-step explanation:

1)

[tex]x^2+9x+14>0[/tex]

Factoring the expression, we have

[tex](x+2)(x+7)>0[/tex]

Considering that

[tex](x+2)(x+7)=0[/tex]

for [tex]x = -2[/tex] and [tex]x=-7[/tex] you can see that for

[tex](x+2)(x+7)>0[/tex]

[tex]x \not\in (-7, -2)[/tex]

Therefore,

[tex]S = \{x\in\mathbb{R} : x<-7 \text{ or } x>-2 \}[/tex]

[tex]S = (-\infty,-7)\cup (-2,\infty)[/tex]

2)

[tex]x^2-10x+16<0[/tex]

You can factor it again.

[tex](x-2)(x-8)<0[/tex]

You can make the table to solve all the inequalities, but once we have the expression [tex]< 0[/tex], we know that

[tex]2<x<8[/tex], therefore,

[tex]S = (2, 8)[/tex]

3)

[tex]2x^2+11x+12<0[/tex]

Factoring we have

[tex](2x+3)(x+4)<0[/tex]

Find the solutions for

[tex](2x+3)(x+4)=0[/tex]

And we know that

[tex]-4<x<-\dfrac{3}{2}[/tex]

[tex]S = \left(-4,-\dfrac{3}{2}\right)[/tex]

Answer:

[tex]f(x)=-7(x-3)^2+1[/tex]

Step-by-step explanation:

Vertex form of a quadratic is given by:

[tex]f(x)=a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient.

We are given that the vertex is (3, 1). Hence, h = 3 and k = 1. By substitution:

[tex]f(x)=a(x-3)^2+1[/tex]

We are also given a point (2, -6). This means that when x = 2, f(x) = -6. Hence:

[tex]-6=a((2)-3)^2+1[/tex]

Solve for a. Subtract:

[tex]-6=a(-1)^2+1[/tex]

Simplify:

[tex]-6=a+1[/tex]

Therefore:

[tex]a=-7[/tex]

Hence, our quadratic is:

[tex]f(x) = -7 (x-3)^2 + 1[/tex]

Answer:

Conclusion:

Step-by-step explanation:

Given the function

f(x) = 3x + 4

Determining the VERTICAL ASYMPTOTES

The line x = L is a vertical asymptote of the function y=3x+4 if the limit of the function (one-sided) at this point is infinite.

It means that possible points are points where the denominator equals 0 or doesn't exist.

So, find the points where the denominator equals 0 and check them.

As can be seen, there are no such points, so this function doesn't have vertical asymptotes.

Determining the HORIZONTAL ASYMPTOTES

Line y = L is a horizontal asymptote of the function y=f(x) if either [tex]\lim _{x\to \infty }\:f\left(x\right)=L[/tex]  or  [tex]\lim _{x\to -\infty }\:f\left(x\right)=L[/tex], and L is finite.

Calculate the limits:

[tex]\:\lim \:_{x\to \:\infty \:}\:\left(3x+4\right)=\:\infty \:[/tex]

[tex]\:\lim \:_{x\to \:-\infty \:}\:\left(3x+4\right)=\:-\infty \:[/tex]

Thus, there are no horizontal asymptotes

Determining the SLANT ASYMPTOTES

Since the degree of the numerator is not one degree greater than the denominator, then there are no slant asymptotes.

Conclusion:

Answer:

For plato family

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

The asymptote of the function f(x) = 3x + 4 is y =  4

.

Step-by-step explanation:

The answer is y= 4

Answer: 16 = n ÷ (3/4)

n = 16(4/3)

n = 64/3

n = 21 1/3

Answer:

64/3

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

So first subtract 8 on both Sides

3x+8-8=35-8

3x=27

Now divide 3 on both sides to isolate the variable x

x=9

So x=9

Answer:

so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9

3x+8=35

3x=35 - 8 = 27

3x = 27

3x divided by 27 = 9

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).

Answer:

it's B

it's B because the point X is on 8 and 10

Answer:

D

Step-by-step explanation:

Find the min, Q1, median, Q3, and Max of the data given.

✔️Arrange the data in an ordered manner:

27, 33, 33, 34, 35, 37, 37, 38, 38, 40, 43, 44, 48, 52, 57

✔️Min = 27

✔️Q1 = the 4th data set = 34

✔️Median = the 8th data set = 38

✔️Q3 = 12th data set = 44

✔️Max = 57

Therefore, the box plot that has all these values represented corrected is the box plot in the last option (D).

Answer:

3(x+2)

High Hopes

                       Barry-

Answer is 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

160/5 = 32 because if your paying 160 dollars every week you for 1 month which is v weeks you're paying 640 a month for renting a car so if you divide 640/20 you get 32 and 160 /5 is 32

Answer:

144 inches squared

Answer:

he makes about $130 million a year.

Step-by-step explanation:

divide 130,000,000 by 12 and you get 10,833,333.3333. So approx. $10,833,333.30 per month.

Answer:

-33,600.

Step-by-step explanation:

Answer:

Average: 4

Standard Deviation: 0

Step-by-step explanation:

Because we don't know how each student did we are going to assume that they all got 20% of the questions right

20% of 20 is 4

Which means that we can assume each student got 4 questions correct

Because all entries are the same the standard deviation is 0

Answer:

37

Step-by-step explanation:

90-83+30=37

Answer:

yes that is correct...

Step-by-step explanation:

Answer:

x^8-y^8

Step-by-step explanation:

Answer:

43.75 gallons will be used

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

because add 5 to 45 and then you 10 to 50 and that equals 60 so 15

Answer:

first blank is "rhombus"

second blank is "rectangle"

third blank is "are congruent"

Step-by-step explanation:

Answer:

40/41

Step-by-step explanation:

73*56

Answer:

3 + 14 + 8

Step-by-step explanation:

7a=21

a=21

The equation of the parabola that goes through the three points is:

y = 3x² + 14x + 8

The points are given as:

(-5,13), (0,8), (2,48)

To find the equation of the parabola that goes through the given three points (-5,13), (0,8), and (2,48) using quadratic regression, we need to fit a quadratic equation of the form y = ax² + bx + c to these data points.

Using the three points, we can set up a system of equations:

13 = a(-5)² + b(-5) + c

8 = a(0)² + b(0) + c

48 = a(2)² + b(2) + c

Simplifying these equations, we have:

25a - 5b + c = 13

c = 8

4a + 2b + c = 48

Solving this system of equations, we find that a = 3 and b = 14, and c = 8.

Therefore, the equation of the parabola that goes through the three points is:

y = 3x² + 14x + 8

Learn more about the quadratic regression here:

https://brainly.com/question/24194413

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