In the year 2005, the average cost of a car could be modeled by the equation C= -15x^2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x^2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.

Answers

Answer 1

Answer:

5x^2+10x-3

Step-by-step explanation:


Related Questions

Solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

Step-by-step explanation:

hello :

here is an solution

plz help for brianly

Answers

Answer:

190.

Step-by-step explanation:

V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4

Answers

The secant of the angle A is 13/4

How to determine the value of sec(A)?

The given parameter is:

[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]

Using the trigonometry identity, we have:

[tex]\sec^2(A) = \tan^2(A) + 1[/tex]

This gives

[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]

Evaluate the exponent

[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]

Evaluate the sum

[tex]\sec^2(A) = \frac{169}{16}[/tex]

Take the square root of both sides

[tex]\sec(A) = \pm \frac{13}{4}[/tex]

Secant in quadrant IV is positive.

So, we have:

[tex]\sec(A) = \frac{13}{4}[/tex]

Hence, the secant of angle A is 13/4

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

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If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first

Answers

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

What is Distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

To learn more about Distributive property, click:

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pls help me on this !!!

Answers

Answer:

7, 12, 13

Step-by-step explanation:

Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the  answer.

a^2 + b^2 = c^2

A.

a^2 + b^2 = 18^2 + 80^2 = 6724

c^2 = 82^2 = 6724

Right triangle.

B.

a^2 + b^2 = 7^2 + 12^2 = 193

c^2 = 13^2 = 169

Not a right triangle.

C.

a^2 + b^2 = 3^2 + 4^2 = 25

c^2 = 5^2 = 25

Right triangle.

D.

a^2 + b^2 = 45^2 + 60^2 = 5625

c^2 = 75^2 = 5625

Right triangle.

Answer: 7, 12, 13

How much money is 15% of $14.90
SHOW YOUR WORK

Answers

Answer:

The final price will be $12.67

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 14.9 × 15/100

Discount = 14.9 x 0.15

You save = $2.24

Final Price = Original Price - Discount

Final Price = 14.9 - 2.235

Final Price = $12.67

hope this helps and is right. p.s. i really need brainliest :)

I have no idea how to draw these please help

Answers

9514 1404 393

Answer:

  1, 2: draw x as the altitude of a right triangle

  3: draw x as double the altitude of the right triangle

Step-by-step explanation:

Consider the right-triangle geometry in the attachment. All of the right triangles are similar, so the ratios of corresponding sides are equal.

  short side / long side = x/r = s/x

You may notice this compares to the required relation in problem 1.

__

If you multiply this out, you get ...

  x² = rs   ⇒   x = √(rs)

This compares to the required relation in problem 2.

__

So, you append the two line segments to each other so they make segment AB, find their midpoint D (using a perpendicular bisector construction), then draw the (semi-)circle centered at that midpoint. The perpendicular at X will intersect the circle at C, a distance of x from the line rs. (A perpendicular to a line at a point construction is required to create XC.)

__

For problem 3, you simply need to double the length √(rs) that you found in the previous constructions. A simple way to do this is to draw a circle, not a semicircle. Then point C' on the lower half of the circle will be 2√(rs) from point C.

_____

In the attached, we have shown right triangle ABC for discussion purposes above. Segments AC and BC are not needed for your purpose.

Point of clarification: AX = r, BX = s, CX = x.

A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.

Answers

Answer:

the kangaroo will travel 10 kilometers

Step-by-step explanation:

15/3=5

5×2=10

Answer:

10

Step-by-step explanation:

We can use the ratio:

3:2

15:?

15/3 is 5

2*5 is 10.

20 Points Please help me

Answers

Answer:

98 inches

Step-by-step explanation:

Multiply the top length by the bottom length

Find the value of X in the triangle shown below. X° 112° 19°

Answers

The answer is 49,
112+19= 131 which means 180-131 is 49

The sum of one and the product of 1 and a number X​

Answers

Answer:

1 + x

Step-by-step explanation:

1 + 1(x) = 1 + x

Answer:

[tex]\huge\bold\purple{1 + x}[/tex]

Step-by-step explanation:

[tex]\bold\purple{1 + 1(x) = 1 + x}[/tex]

Match each system of equations to its point of intersection.
y=2x+1
y=x+3

y=x+3
y=-3x-2

y= -x-7
y= x+3

y= -x-7
y= 2x+1

y= 2x+1
y= -3x-2

Answers

I tried putting the answer put it’s saying it’s incorrect when it’s right

Answer:

Step-by-step explanation:

PLs give Brainliest

The dot plots show the math test scores from the sixth and seventh
grade students

Answers

Answer:

C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Question 7 of 10 What is the interquartile range (IQR) of the data set represented by this box plot? ਤੇ 61 B9 ਮ A. 37 E. 5 C 1​

Answers

Answer:

Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...

Step-by-step explanation:

Answer:

D. 22

Step-by-step explanation:

Your answer is correct sir :)

The irrational number square root 67 is less than [blank]

Answers

Answer:

The square root of 67 is less than the whole number of 9

Step-by-step explanation:

8 squared is 64

9 squared is 81

67 is in between them

A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?

Answers

Since a triangle’s total degrees equals 180 you would do 180-108-24 and you would get 48° for your answer

In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.

Answers

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

Identify the association comparing age of a teacher and the number of students in his or her classroom

Answers

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Order these fraction from to : 2/3 , 7/12 , 3/4

Answers

I didn't really know whether to do it from least to greatest or greatest to least, so I did it from least to greatest.

Steps:

1. Find a common denominator

Let's do 12

2. Convert

7/12 is already in its simplest form, so 2/3 = 8/12 and 3/4 = 9/12

3. Order

7/12, 8/12, 9/12

4. Back to original form

7/12, 2/3, 3/4

ANSWER: 7/12, 2/3, 3/4

Answer:

2/3, 3/4, 7/12

Step-by-step explanation:

Least to greatest. Sorry if this was not what u were asking for.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Step-by-step explanation:

Equation: (3x+7) + (10x+17) = 180

*These are consecutive interior angles and they add to 180 degrees

1.) Add like terms

13x + 24 = 180

2.) Subtract 24 from both sides

13x = 156

3.) Divide each side by 13

x = 12

*Substitute x in both expressions to get angle measures

Value of x: 12

3(12)+7 = 36+7 = 43

10(12)+17 = 120+17 = 137

*Check 43+137 = 180

Angle Measures: 1st angle: 43 degrees

2nd angle = 137 degrees

Please help!!!? Find m

Answers

Answer:

Step-by-step explanation:

[tex]m\angle F =tan^{-1}\frac{4}{6}\\m\angle F =33.690067526\degree\\m\angle F =33.7\degree[/tex]

Luke build a storage box in the shape of a right rectangular prism dimensions inside the box are

Width-4 feet
Length-8 feet
Height- 3 1/2 feet

What is the total volume in cubic feet of the inside of the box
Also I’m not opening up links so please don’t put a link

Answers

Answer:

112 feet

Step-by-step explanation:

To find the volume of a rectangular prism do this equation: W x L x H = V

so for this question you would do, 4 x 8 x 3.5 which equals 112

GIVING BRAINLEST PLEASE ANSWER ALL :)

Answers

Imm noottttt sure sryyy

Which of the following sets of vectors in R3 are linearly dependent?
Note. Mark all your choices.

Answers

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

Linearly dependent sets can be found using row-reduction techniques. If a row ends up zero, then the set is linearly dependent. Equivalently, the determinant of a 3×3 matrix can be computed. If it is zero, the set is dependent. The cross-product of two 3-D vectors can be computed. If it is zero, the vectors are dependent.

Any set of vectors that has more elements than each vector does must necessarily be dependent.

It is helpful to be able to use a calculator capable of performing these calculations (as opposed to doing it by hand). The first attachment shows the result of computing the reduced row-echelon form of the first set of 3 vectors. The set is found to be independent.

__

The second set of vectors is clearly dependent, as the second vector is 5 times the first.

__

The third set contains more vectors than there are elements to a vector. Hence at least one of them can be created using some combination of the others. This set is dependent.

__

The cross-product of the fourth set is non-zero, so it is independent. The second attachment shows the result of a row-reduction tool on these vectors.

The principal of the school is looking over grade reports, specifically scores on math quizzes.

This box-and-whisker plot shows the results.

Find median and range in the given box plot:





Answers

Answer:

Range = 45

Median = 75

Step-by-step explanation:

Based on the attached box and whisker plot :

From the plot :

Maximum value = 95

Minimum value = 50

The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :

This point is marked 75.

Hence, median value = 75

Range = maximum - minimum

Range =. 95 - 50 = 45

What is the slope of the line 1/7

Answers

Answer:

3/4

Step-by-step explanation:

Well its a incomplete Question but i am solving a realted type Question .

• Find the slope of the line -3x - 4y = 12 :-

Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,

m is slope c is y Intercept

⇒ -3x -4y = 12

⇒ -4y = 12 +3x

⇒ y = 3x + 12 /4

⇒ y = 3/4x + 12/3

y = ¾x + 4

Comparing to Standard Form

⇒ m = ¾

⇒ c = 4

Hence the slope of the line is 3/4.

Alexis has 27.5 ounces of beads. How many necklaces can she make if each one uses 2.5 ounces?

Answers

Answer:

11

Step-by-step explanation:

27.5/2.5

she can make 11 necklaces

Question 9 (5 points)
Find the distance between a point (6,9) and a horizontal line at y= 5.
OA) 15
B) 4
OC) 11
D) 14

Answers

Answer is: B
Workup in a photo below.
Good luck

help please please please ​

Answers

Answer:

they are both going in the same dirrection but this does not mean they are parrallel or perpendicular.

Step-by-step explanation:

So just say neither

Answer:

they are not parallel nor perpendicular to each other i am assuming you can write out the full sentsentence your self

Step-by-step explanation:

what does (b + 3) + 6= ?

Answers

Answer:

(b + 3) + 6 = b + 9

Explanation:

The order in which you add numbers together doesn't matter.

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