What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show all
appropriate work necessary for full credit.
f(x)=
x² - x - 1

Answer:

9:7

Step-by-step explanation:

number of boys is 32 - 18 = 14

ratio will be 18:14

then 9:7

Answer: 9:7 hope this help i did the quiz so i know answer

Step-by-step explanation:

                                            Question 9)

From the line graph, taking two points

Finding the slope between  (-5, 4)  and (-6, 7)

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

[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]

[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]

[tex]m=-3[/tex]

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

y = mx+b

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

substituting (-5, 4) and m = -3 in the slope-intercept of the line

y = mx+b

4 = -3(-5)+b

4 = 15+b

b = 4-15

b = -11

substituting b = -10 and m = -3 in the slope-intercept of the line

y = mx+b

y = -3x+(-11)

y = -3x - 11

Thus, equation is slope-intercept form will be:

y = -3x - 11

Hence, option B is true.

                                                Question 10)

From the line graph, taking two points

Finding the slope between  (4, 7)   and (-8, 1)

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

[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]

[tex]m=\frac{1-7}{-8-4}[/tex]

[tex]m=\frac{1}{2}[/tex]

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

y = mx+b

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

substituting (4, 7) and m = 1/2 in the slope-intercept of the line

y = mx+b

7 = 1/2(4)+b

7 = 2+b

b = 5

substituting b = 5 and m = 1/2 in the slope-intercept of the line

y = mx+b

y = 1/2x + 5

Thus, the equation is slope-intercept form will be:

y = 1/2x + 5

Hence, option C is true.

Answer:

its 3.35

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

There are 96 more freshmen than juniors. the answer is D: 96

Step-by-step explanation:

28% and 22%

28 - 22 = 6

6% of 1,600 = 96

6% = 0.06

0.06 x 1,600 = 96

There are 96 more freshmen than juniors.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

The answer is 0.56 the 6 is repeating

Step-by-step explanation:

Answer:

0.56666666666

Answer:

y=0.1x + 8.4

I hope it will be useful.

Answer: i think its c

hope its right

:)

Given:

Louise used 0.61 kilogram of flour each day for 3 weeks.

To find:

How many grams did Louise use in those 3 weeks?

Solution:

We know that,

1 kg = 1000 g

Flour used by Louise each day for 3 weeks = 0.61 kg

1 week = 7 days

3 week = 21 days

Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg

                                                                        = 12.81 kg

                                                                        = (12.81 × 1000)    [ 1 kg = 1000 g]

                                                                        = 12810 g

Therefore, flour used by Louise for those 3 weeks is 12,810 grams.

Answer: 46

Step-by-step explanation:

Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.

Answer:

The correct answer is 33/100.

Step-by-step explanation:

To transform a decimal into a fraction, follow the steps below:

Step 1: Change the Fraction into a Decimal:

3.30 = 33/100

Step 2: Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Step 3: Divide both numbers by the GCF:

3.30 =

33/1  ÷ 100/1 =

33/100

Therefore, the correct answer is 33/100.

Hope this helps! :D

3.3 repeating in fraction form will be 33/100.

The correct answer is 33/100.

Given, 3.3 in repeating form.

To transform a decimal into a fraction, follow the steps below:

Change the Fraction into a Decimal:

3.30 = 33/100

Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Divide both numbers by the GCF:

3.30 = 33/1  ÷ 100/1

= 33/100

Therefore, the correct answer is 33/100.

Know more about fraction,

https://brainly.com/question/8482939

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Answer:

For the middle one 20 /9  or 2 and 2/9

Step-by-step explanation:

20 /9  or 2 and 2/9

Do you need help with the rest or no?

Answer: 743.30343766 . . . ft

Round it to whatever place your teacher requires it to be at.

Step-by-step explanation: So, this question can be treated as one in which you need to find the hypotenuse. If you cut the soccer field diagonally, the length and width are still the same. The two legs of our triangle are 700 ft and 250 ft. The formula for finding the hypotenuse is a²+b²=c². Input the numbers, and it becomes 700²+250²=c². 700² is 490,000 and 250² is 62,500. 490,000 + 62,500 = 552,500. This means that 552,500 is c², and in order to find c, or the hypotenuse/diagonal, we need to find the square root of 552,500. The square root of 552,500 is 743.3034376 . . . , which you can round to whatever place you need it to be at.

Answer:

-4 and + 4

Step-by-step explanation:

Two integers with a sum of 0 and product of - 16

Let the two digits = a and b

a + b = 0

a * b = - 16

If a = 4 and b = - 4 ;

CHECK:

4 + (-4) = 4 - 4 = 0

4 * (-4) = - 16

HENCE, the two integers are 4 and - 4 or - 4 and 4

Answer:

The two planes have traveled the same distance.

Step-by-step explanation:

Given that:

Velocity of first plane traveling north = 100 km/h

Time taken by the plane = 2.5 hours

Velocity of second plane traveling north = 62.5 km/h

Time taken by the plane = 4 hours

To find:

Which plane traveled longer distance?

Solution:

First of all, let us have a look at the formula for finding the distance using velocity and time.

Formula is:

[tex]Distance = Velocity \times Time[/tex]

Distance traveled by first plane:

[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]

Distance traveled by second plane:

[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]

Here, we can clearly see that:

[tex]Distance _1 = Distance _2[/tex]

Therefore, the two planes have traveled the same distance.

Q1. p=a-i

Q2. l= 1/2p-w

Q3. t=d/s

I think that these are correct

Answer:

An equilateral triangle is never similar to a scalene triangle, because you can never map one onto the other using only dilations  and using rigid transformations

Step-by-step explanation:

Answer:

C choice.

Step-by-step explanation:

[tex]5x - 2 = - x - 20 \\ [/tex]

First, we move the same terms to the same side.

[tex]5x + x = - 20 + 2 \\ 6x = - 18[/tex]

Then we move 6 to divide - 18.

[tex]x = \frac{ - 18}{6} \\ x = - 3[/tex]

Answer:

[tex]a.\ Probability = 0.426[/tex]

[tex]b.\ Probability = 0.574[/tex]

Step-by-step explanation:

Given

[tex]Total\ Families = 1000[/tex]

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

[tex]At\ Most\ One\ Girl = 112 + 314[/tex]

[tex]At\ Most\ One\ Girl = 426[/tex]

The probability is then calculated as:

[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]

[tex]Probability = \frac{426}{1000}[/tex]

[tex]Probability = 0.426[/tex]

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

[tex]More\ Girls = 382 + 192[/tex]

[tex]More\ Girls = 574[/tex]

The probability is then calculated as:

[tex]Probability = \frac{More\ Girls}{Total}[/tex]

[tex]Probability = \frac{574}{1000}[/tex]

[tex]Probability = 0.574[/tex]

Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

Answer:

please refer to the above attachment.

Step-by-step explanation:

a. 3800 + 2.5%3800 = 3895

3895 - 3800 = 95 is the interest

b. there are 12 months in a year so...

95 x 12 = 1140 is the total interest

Answer:

y = 5.5

Step-by-step explanation:

y = 22 * 0.5^2

=> 22* 0.25

=> 5.5

Hope this helps!      :3

plz mark as brainliest!

Answer:

lynns is correct

Step-by-step explanation:

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Answer:

is this how the question is really wrote out. it doesn't look like english

Step-by-step explanation:

half of 9 is 4.5

Answer:

1:4

Step-by-step explanation:

Ratios and Fractions

It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:

[tex]1 - \frac{1}{5}=\frac{4}{5}[/tex]

We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.

This can be done by dividing 1/5 by 4/5:

[tex]\displaystyle \frac{\frac{1}{5}}{\frac{4}{5}}[/tex]

Operating:

[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]

Expressing it as a ratio: 1:4

Answer:

y=50

Step-by-step explanation:

this is the answer.

Answer:

Y=50x

Step-by-step explanation:

I just took the test have a good day remember god love u