This table shows values that represent a quadratic function.

What is the average rate of change for this quadratic function for the interval
from x= 1 to x= 3?​

Answer:

x=0, 2. y=-1, 5.

Step-by-step explanation:

y=(1/2)x^2+2x-1

3x-y=1

---------------------

3x-y=1

y=3x-1

-----------

(1/2)x^2+2x-1=3x-1

(1/2)x^2+2x-3x-1-(-1)=0

(1/2)x^2-x-1+1=0

(1/2)x^2-x=0

factor out the x

x[(1/2)x-1]=0

zero property,

x=0, (1/2)x-1=0

-------------------

(1/2)x-1=0

1/2x=0+1

1/2x=1

x=1/(1/2)=(1/1)(2/1)=2/1=2

-----------------------------------

x=0, x=2

-------------

y=(1/2)(0)^2+2(0)-1=0+0-1=-1

-------------

y=3(0)-1=0-1=-1

-----------------------

y=(1/2)(2)^2+2(2)-1=(1/2)(4)+4-1=4/2+4-1=2+4-1=6-1=5

----------------------

y=3(2)-1=6-1=5

Answer:

The solutions are (0, -1) and (2, 5)

Step-by-step explanation:

y = (1/2)x^2 + 2x - 1 ------ eqn(I)

3x - y = 1

y = 3x - 1 ------------- eqn(II)

Equate eqn(I) & (II)

(1/2)x^2 + 2x - 1 = 3x - 1

Multiply each term by 2

x^2 + 4x - 2 = 6x - 2

x^2 + 4x - 6x = -2 + 2

x^2 - 2x = 0

x(x - 2) = 0

x = 0, 2

Substitute the values of x in eqn(II)

y = 3x - 1

When x = 0

y = 3(0) - 1 = 0 - 1 = -1

y = 3x - 1

When x = 2

y = 3(2) - 1 = 6 - 1 = 5

The solutions are (0, -1) and (2, 5)

Answer:

190 g

Step-by-step explanation:

Mass     =Density

Volume

Let the mass be x.

x/200=0.95

x=200 x 0.95

x =  190 g

Thank you!

Answer:

Enlargement

Step-by-step explanation

It is enlargement, because it went up by three. Instead of reducing.

We cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.

For a particular scaled construct, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the corresponding lengths in the constructed scaled structure.

For case a) or b), we used the scale factors as:

1 block : x feet, where x was either 2 or 5 feet.

But we are not specified what size is of the block which is used to model the building.

It may be that block is greater than x feet, or may be smaller. This will decide whether there is enlargement or reduction of the actual building, respectively.

Thus, we cannot tell the result because the actual size of blocks used for modelling the Empire State Building is not known.

Learn more about scale factors here :

https://brainly.com/question/8765466

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?

A) C/6 = π

B) C/12= π

C) C = 6πr

D) C = 12πr

Formula to get the circumference of the circle is,

C = 2πr = π × D

Where C = circumference of the circle

D = Diameter of the circle

By dividing with D on both the sides of the formula,

[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]

Since, diameter 'D' = 2r,

[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]

[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]

[tex]\frac{\text{C}}{12}=\pi[/tex]

Therefore, equation given in Option (B) will be the correct expression.

Answer:You cant get someone to do all of this try doing a few or getting help from someone older that's what I did

I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now

It's better to make an effort and try doing some of them instead of asking someone to do all of it

Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems

Answer:

Don't ask someone to do this if your question is a test

Step-by-step explanation:

Answer:

100 times

Step-by-step explanation:

5•1000000 has 2 more zeros than 5•10000 so that means the first number is 100 times larger than the second number! hope this helps and please mark as brainiest

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

Answer:

Temperature decreased by 25%

Step-by-step explanation:

Let initial temperature be t

Step 1

Increase by 25%:

Step 2

Decrease by 40%:

Temperature changed from t to 0.75 t

The difference in %:

Temperature decreased by 25%

Answer:

x = 6, 9

Step 1:

To solve this equation, we need to subtract 3 from both sides like this:

[tex]3\sqrt{x-5} +3(-3)=x(-3)\\3\sqrt{x-5} =x-3[/tex]

Step 2:

We square both sides (multiply using FOIL) to get rid of the radical.

[tex](3\sqrt{x-5} )^2 = (x-3)^2\\(3\sqrt{x-5} )^2: 9x-45\\ (x-3)^2: x^2+6x+9\\\\9x-45=x^2-6x+9[/tex]

If you did not understand how these were done, here is an example:

(x + 1)(x + 2)

First terms: x * x = x^2

Outer terms: x * 2 = 2x

Inner terms: 1 * x = x

2x - x = x

Last terms: 1 * 2 = 2

x^2 + x + 2

Step 3:

Solve for x:

9x - 45 = x^2 - 6x + 9

x^2 - 6x + 9 (+45) = 9x - 45 (+45)

x^2 - 6x + 54 (-9x) = 9x (-9x)

x^2 - 15x + 54 = 0

Factor:

(x^2 - 6x) + (- 9x + 54)

x(x - 6)        - 9(x - 6)

Factor out (x - 6):

(x - 6)(x - 9) = 0

x - 6 = 0; 6 - 6 = 0

x - 9 = 0; 9 - 9 = 0

Our anwer: x = 6, 9

Answer:

In 7, seven kids checked out 7. [tex]7*7=49[/tex] (Correct answer because 49 is the biggest number here)

In 1, only two kids checked out 1. [tex]1 *2=2[/tex] (Wrong answer because 2 is lower than 49)

In 4, only eight kids checked out 4. [tex]4*8=32[/tex] (Wrong answer because 32 is lower than 49)

In 12, only two kids checked out 12. [tex]12*2=24[/tex] (Wrong answer because 24 is lower than 49)

So 7 is the correct answer because [tex]7*7=49[/tex] is the greatest equation here.

The 0 and 11 number book is the typical book one student checked out.

Given, the dot plot shows the no. of book  each student checked out from the library last month.

Since each dot represent a different student, so clearly from the dot plot the 8 number book is checked out by the most of the students because it has most of the dots.

Since the number 0 and 11 has only one dot it represent that only 1 student checked out these books last month.

Hence the 0 and 11 number book is the typical book one student checked out.

For more details on dot plot follow the link:

https://brainly.com/question/4398979

Answer:

28 - 7 = -3k

21 = -3k

21/-3 = k

k = -7

x/5 = 3 + 17

x/5 = 20

x = 5*20

x = 100

82 - 12 = 7G/10

70 = 7G/10

70*10 = 7G

700 = 7G

700/7 = G

G = 100

Answer:

1st count the 1/2 circle with the formula

1/2 × phi × r²

=1/2 × 3,14 x 6²

=1/2 × 3,14 × 6²

=56,5

2st count the ractangle with the formhla

a × b

= 12 × 18

= 216

So we get 56,5+216= 272,5

Answer:

Hey there!

This problem will require a few steps to solve:

Step 1: Identify the "simple shapes" that make up the larger figure. Here, we see that there is a rectangle to the left, and a semicircle to the right.

Step 2: Find the area of the rectangle. This shouldn't be too hard, since we know that the formula for a rectangle's area is length times width. From the diagram, we have the length is 18cm, and the width is 12cm. 18 times 12=216.

Step 3: Find the area of the semicircle. This is slightly more difficult, but we know a semicircle is half of a circle, and the formula for circle area is [tex]\pi r^2[/tex]. Thus, the formula for a semicircle area is [tex]\frac{\pi r^2 }{2}[/tex]. We have d, or the diameter equal to 12, so the radius is 6, or half of the d. Plugging in the values, we find that the area for the semicircle is about 56.52.

Step 4: Add the areas of both simple shapes together: 216+56.52=272.52 cm^3.

Hope this helps :)

Answer:

$60

Step-by-step explanation:

Represent the original price by p.  Then:  

1.00 p = original price

0.20 p = discount

0.80p = price after discount = $48

Solving for p, we divide both sides by 0.80:

        $48

p = ---------- = $60

        0.80

Answer:

The correct ans is....

38%

0.4

0.52

5/8

Step-by-step explanation:

Order form least to greatest means " Ascending order "

38 % = 38/100

0.4 = 40/100

0.52 = 52/100

5/8 =  62.5/100

Hope this helps.....

Answer:38% ,0.4 ,0.52 ,5/8

Step-by-step explanation:

becuase when you turn them into decimals you will get

38%=0.38

0.4=0.4

0.52=0.52

5/8=0.625

Hopes this helps

Answer:

85.6 degrees.

Step-by-step explanation:

The given equations of lines are

[tex]3x-5y=-15[/tex]

[tex]4x+2y=7[/tex]

We need to find the measure of the acute angle formed by these lines.

[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]

Slope of given lines are

[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]

[tex]m_2=\dfrac{-4}{2}=-2[/tex]

Angle between two lines is

[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]

[tex]\tan \theta = 13[/tex]

[tex]\theta = \tan^{-1}(13)[/tex]

[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]

Therefore, the acute angle between given lines is 85.6 degrees.

Answer:

A True

Step-by-step explanation:

B vertices would be the top of an isosceles

As any equal sides can form an isosceles, the measure of the base could be any size and isnt relevant to the triangle unless we are looking for a calculation for its height, which does not determine shape only equation.

Therefore with sides of triangles if they are equal we cna make the shape consist of any length base as long as it measures less than double than either side length.

Therefore a 1cm base does apply and can form a triangle of two equal sides 7cm and 7cm as the diagram asks.

Answer:

true

Step-by-step explanation:

THE reason it true is because on on the lines doesn't equal to the 2 other lines

Answer:

12 1/2 hours

Step-by-step explanation:

This is because (0*1) + (1/4*1) + (1/2*1) + (3/4*3) + (1*3) + (1 1/4*4) + (1 1/2*1) = 12 1/12.

Answer:

x = 2  ,  y = 3  ,   z = 1

Step-by-step explanation:

I believe is the answer correct me if wrong

Answer:

x-1

Step-by-step explanation:

|x-1| if x>1. the expression must be positive, therefore you can remove the absolute values without trouble so you get x-1

Answer:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

Answer:

I would say b

Step-by-step explanation:

3 x 10^-4

Answer:

two feet cubed

Step-by-step explanation:

Answer:

5/9 is the simplest fraction for this ratio

Answer:

[tex]f^{-1}(6) = 2[/tex]

Step-by-step explanation:

Given

[tex]f(2) = 6[/tex]

[tex]f(3) = 7[/tex]

Required

[tex]f^{-1}(6)[/tex]

First, we need to determine the slope of the function using;

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

From the given parameters;

In [tex]f(2) = 6[/tex]

x = 2; y =6 --- Take this as x1 and y1

In [tex]f(3) = 7[/tex]

x = 3; y = 7 --- Take this as x2 and y2

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes

[tex]m = \frac{6 - 7}{2 - 3}[/tex]

[tex]m = \frac{- 1}{ - 1}[/tex]

[tex]m = 1[/tex]

Next, we determine the equation of the function using

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute the values of x1,y1 and m

[tex]y - 6 = 1(x - 2)[/tex]

Open bracket

[tex]y - 6 = x - 2[/tex]

Add 6 to both sides

[tex]y - 6 + 6 = x -2 +6[/tex]

[tex]y = x + 4[/tex]

Next is to determine the inverse function by swapping the positions of x and y

[tex]x = y + 4[/tex]

Make y the subject of formula;

[tex]y = x - 4[/tex]

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = x - 4[/tex]

Now, we can solve for [tex]f^{-1}(6)[/tex]

Substitute 6 for x

[tex]f^{-1}(6) = 6 - 4[/tex]

[tex]f^{-1}(6) = 2[/tex]

ANSWER:

4d shape LOOKS LIKE THIS

Answer:

Graph A

Step-by-step explanation:

if you look at the numbers on the top row they correspond with the left side of the graph and the bottom row of numbers correspond with the bottom of the Graph.

Answer:

Graph A)

Step-by-step explanation:

The first points 20,70 and 30,70 are both plotted correctly on this graph, same with the other points. :)

Answer:

8.10

Step-by-step explanation:

1metre =100 centmetres

1st piece is 5.44m

2nd piece is 1.44m

3rd piece is 1.12m

Total length= 8.10m

Answer:

[tex]\boxed{\sf B}[/tex]

Step-by-step explanation:

-1 < y < 0

The value of y is negative.

Let’s take the number -0.5.

(-0.5)² = 0.25

1 - (-0.5) = 1.5

1 + (-0.5) = 0.5

2(-0.5) = -1

The greatest value is 1.5.

The answer is 1 - y.

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

Answer:

A = 78.5 cm²

Step-by-step explanation:

A = πr²

A = (3.14)(5)²

A = (3.14)(25)

A = 78.5 cm²

The area of the circle with a radius of 5 cm will be 78.5 cm².

Hope that helps.

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation: