Let f(x)=x2 2x 3. What is the average rate of change for the quadratic function from x=−2 to x = 5? Enter your answer in the box.

Answer:

£59.25

Step-by-step explanation:

It appears you can measure the height of the trapezoid [trapezium  :-)  ??].  If you can't, you can use the Pythagorean Theorem (image attached).  Draw a line from the upper right-hand corner down to the baseline--the 20m side.  You'll form a right triangle with one leg  h , hypotenuse 17m and the other leg  8m  (the difference between 20m and 12m).

(leg)^2 + (leg)^2 = (hypotenuse)^2

h^2 + 8^2 = 17^2

h^2 + 64 = 289

h^2 = 225

h = 15m

The area of the trapezium is [tex]A=\frac{1}{2}h\left(b_1+b_2\right)[/tex]  where the b's are the lengths of the two bases (upper and lower sides).

[tex]A=\frac{1}{2}(15)(12+20)=\frac{1}{2}(480) = 240[/tex] m^2

One can of weedkiller covers 100 m^2 of area.  You'll need 3 cans (2 cans isn't enough, and you can't buy a fraction of a can).  Tricky question!

Three cans will cost  3 x 19.75 pounds = £59.25

Answer:

it's 20 IT NEEDS TO BE CORRECT

Answer:

x < -2

Step-by-step explanation:

its less than x, open circle

Answer:

x < -2

Step-by-step explanation:

Okay, so the dot is at -2 and is facing left. Left means less than, so, we know x is less than -2.

But we don't know if it's equal to or less than or just less than.

The dot is hollow, which in graphing means that it is not equal to or less than.

Therefore, the answer is x < -2

Brainliest please?  

Answer:

$5

Step-by-step explanation:

Start by finding how much money Jacob has after buying a game for himself:

$50-$15=$35

Now, we have to divide $35 by 7 since he has 7 friends...

$35/7=$5

He can spend $5 on each friend

Answer:

9(8t^2+25)

Step-by-step explanation:

Answer:

8 m²

Step-by-step explanation:

1/2 × d1 × d2

= 1/2 × 4m × 4m

= 8 m²

Answer :

± [tex]\frac{\sqrt{x-1} }{4}[/tex]

Answer:

0.5, 7

Step-by-step explanation:

y=mx+b

-2y=0.5x+7

slope is m

yintercept is b

slope= 0.5

yintercept= 7

The false statement:

a° + d° = 180°

The correct option is B.

Corresponding angles are those formed at matching or corresponding corners with the transversal when two parallel lines are crossed by another line (i.e. the transversal).

Given:

Two pairs of parallel lines j and k, and r and s traverse each other.

d° = f° {opposite angles}

a° + d° = 180°

This is an incorrect statement.

a° = c° {Corresponding angles}

b° + e° = 180° (Sum of linear pair)

Therefore, a° + d° = 180°.

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Solution:

Given:

Let's simplify the perimeter of the rectangle by using the expression for the perimeter.

Hence, the polynomial that represents the perimeter of the rectangle is 22a + 2b.

Answer:

95 degrees!!!

Step-by-step explanation:

add 5 to 90. or if you look at the protractor, after the 90, its on the 5 marker, which is why you add 5.

Answer: 3x +1.2y

Step-by-step explanation:

you have to add the like terms together (the x’s plus the x’s, the y’s plus the y’s)

4x+7x=11x

11x-8x=3x

-5.2y+6y= 1.2y

Then you combine the x and the y for your answer.

3x+1.2y

Answer:

3x+0.8y

Step-by-step explanation:

4x-5.2y+6y+7x-8x

4x+7x-8x-5.2y+6y ( 4x+7x-8x → 3x)

3x-5.2y+6y ( -5.2y+6y → 0.8y)

3x+0.8y

Hope it helps! :)

Answer:

Step-by-step explanation:

There are 3 blue, 5 red and the total of 8 marbles.

Two different colored marbles are:

Find the probability of each case:

Required probability is:

Answer:

15/28 is the probability of getting 2 that are different in colour.

Step-by-step explanation:

He is going to pick any marble, in second try, it must be a different colour marble.

total marble: 3 + 5 = 8 marbles

For blue marble:

In first try for blue marble: 3/8

second try for red marble: 5/7

probability then: 5/7 *  3/8 = 15/56 is the probability for blue marble.

For red marble:

In first try for red marble: 5/8

second try for blue marble: 3/7

probability then: 5/8 * 3/7 = 15/56

**

total probability of getting different in colour:

15/56 + 15/56

15/28  **

Answer:

13/5 which is 2.6 so A.

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

it's false because two lines cannot be horizontally parallel

Notice:

2 is first term

2*4 = 8 is second term

8*4 = 32 is third term

and so on

Each term is multiplied by 4 to get the next term, so it’s geometric. The “common ratio” is whatever you’re multiplying by, which is 4.

Answer:

126.470588235

Step-by-step explanation:

I like to set these up like how I set up my radian conversions so what I do is I have one unit on top of a fraction and another on the bottom so it would look like this 1/68 = x/8600 this equation will let us solve for x which would be our inches to get 8600 so we just times 1/68 by 8600 and get 126.470588235 and just to check 126.470588235 * 68 = 8600

Answer:

x= m/2 - b/6

(its a lot of work...)

Step-by-step explanation:

1. Subtract 2x from both sides

-2x=2x+b/3-2x

2. Simplify

-2x=b/3

3. Factor

x(m-2)=b/3

4. divide both sides by m-2; m≠2

x(m-2)/m-2=b/3/m-2 m≠2

5. Simplify again...

x=b/3(m-2); m≠2

Compound interest are used to determine interest on deposits

The balance as a function of time is [tex]y = 2000 * (0.2625)^{4t}[/tex]

The given parameters are:

Principal, P = $2000

Rate, r = 5%

n = 4, (quarterly)

The amount remaining is calculated as:

[tex]A = P * (1+ r/n)^{nt}[/tex]

So, we have:

[tex]A = 2000 * (1+ 5\%/4)^{4t}[/tex]

Simplify

[tex]A = 2000 * (0.2625)^{4t}[/tex]

Rewrite as:

[tex]y = 2000 * (0.2625)^{4t}[/tex]

Hence, the balance as a function of time is [tex]y = 2000 * (0.2625)^{4t}[/tex]

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Answer:

1,647.75

Step-by-step explanation:

Well 25,340 times the interest rate .065 which equals 1647.75

Answer:

Step-by-step explanation:

It's pretty simple.

All you have to do is this:

All we did was put a percentage sign at the end at the number.

If you want to do it the hard way,

Do this:

What we did was move a decimal point 2 spaces to the left.

This also counts as a percentage.

Answer:

1. 5 child tickets

Step-by-step explanation:

So 2 adult tickets would be 24$

So we do 64-24=40. So each child tickets cost 8$

So we do 40/8=5

So for number 1 they can buy 5 child tickets.

Answer:

$1540

Step-by-step explanation:

base cost = $60
1 mile = $40
$40 x 37m = $1480
$1480 + $60
= $1540

Answer:

1/4

Step-by-step explanation:

1.) Take 75% and convert it to a decimal, which is 0.75

2.) Then multiply 1/3 by 0.75

3.) Your answer is 0.25, and when 0.25 is converted to a fraction it is 1/4.

75% of 1/3 can be expressed as the fraction 1/4 by convert the percentage to a decimal, multiply it by the original fraction, and simplify the resulting fraction

To find the fraction that is equal to a given percentage of another fraction, follow these steps:

Step 1: Convert the percentage to a decimal by dividing it by 100. In this case, 75% is equivalent to 0.75.

Step 2: Multiply the decimal by the original fraction. In this case, 0.75 * 1/3 = 0.25/1.

Step 3: Simplify the resulting fraction, if possible. In this case, the fraction 0.25/1 can be simplified to 1/4.

Therefore, 75% of 1/3 is equal to the fraction 1/4.

To find the fraction that represents a given percentage of another fraction, convert the percentage to a decimal, multiply it by the original fraction, and simplify the resulting fraction if necessary. In this case, 75% of 1/3 is equal to the fraction 1/4.

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Answer:

from left to right: 25cm², 7cm, 63cm², 9.90cm (2dp), 10.10cm (2dp), 125cm²

The area of a 2D form is the amount of space within its perimeter. The table that shows the side length and area of several different squares as shown below.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of a square is the square of the length of the side of the square. Therefore, the area of the square and the length of the side of the square can be written as,

Length of the side                Area

         side                              Side²

Hence, the table that shows the side length and area of several different squares as shown above.

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The number 3.84761 become 3.848 after round off to 3 decimal place or thousandths place.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

We have a number:

= 3.84761

It is required to round off to 3 decimal place.

= 3.848  (0.0076 = 0.008)

Rounded to the nearest 0.001 or the Thousandths Place.

Thus, the number 3.84761 become 3.848 after round off to 3 decimal place or thousandths place.

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Answer:

2, 3, 5, 6

Step-by-step explanation:

because the angles are outside

Answer:

C is the formula you should use and the rest of the answers are below

Step-by-step explanation:

Hence, the formulae to calculate the variance are -

[tex]\sigma^2 = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n}[/tex]     for a complete population and [tex]s^{2} = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]  for a sample population.

We have Variance.

We have to specify the formula of variance.

Variance is a measure of dispersion that takes into account the spread of all data points in a data set.

According to the question, the following formulae for variance are used according to the need.

For a Complete Population divide by the size n -

[tex]\sigma^2 = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n}[/tex]

For a Sample Population divide by the sample size minus 1

[tex]s^{2} = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]

Hence, the the formulae to calculate the variance are -

[tex]\sigma^2 = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n}[/tex]     for a complete population and [tex]s^{2} = \frac{\displaystyle\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]  for a sample population.

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[tex]AB=BC=>\angle A=\angle C=49а\\\angle CBA=180а-\angle A-\angle C=180а-49а-49а=82а[/tex]