The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class.

Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?
A.5
B.6
C.7
D.8

Answer:

See Explanation

Step-by-step explanation:

Your question is incomplete. I will take the complete question as:

[tex]f(x) = -x^2[/tex]

[tex]Interval: [-1,1][/tex]

Required

Determine whether Rollie's theorem can be applied or not

First, find the coordinates of the endpoints on the closed interval [-1, 1]

[tex]f(x) = -x^2[/tex]

[tex]f(-1) = -(-1)^2 = -1[/tex] ------ [tex](-1,-1)[/tex]

[tex]f(1) = -(1)^2 =-1[/tex] ---- [tex](1,-1)[/tex]

Find the derivative of f(x)

[tex]f(x) = -x^2[/tex]

[tex]f'(x) = -2x[/tex]

Calculate the slope (m) of the secant line i.e. [tex](-1,-1)[/tex] and [tex](1,-1)[/tex]

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

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

[tex]m = \frac{0}{2}[/tex]

[tex]m=0[/tex]

Set the derivative to the calculated slope:

[tex]f'(x) = m[/tex]

[tex]-2x = 0[/tex]

[tex]x=0[/tex]

Plug in 0 for x in f'(0)

[tex]f'(x) = -2x[/tex]

[tex]f'(0) = -2 * 0[/tex]

[tex]f'(0) = 0[/tex]

Since f'(0) is differentiable at x = 0. We can conclude that Rollie's theorem can be applied

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

Answer/Step-by-step explanation:

1. ∠XVR = 180 - <XVW (angle on a straight line)

∠XVR = 180 - 55°

∠XVR = 125°

2. ∠RVS = <XVW (Vertical angles are congruent)

∠RVS = 55°

3. ∠WVS = ∠XVR (vertical angles are congruent)

∠WVS = 125°

4. ∠RST = <R + <RVS (exterior angle theorem)

<RST = 55 + 55

<RST = 110°

5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)

∠RSV = 180 - (55 + 55)

∠RSV = 70°

6. ∠VSU = <RST (vertical angles are congruent)

<VSU = 70°

7. ∠UST = <RSV (vertical angles)

<UST = 70°

8. ∠TUS = 180 - (<UST + <T) (sum of triangle)

<TUS = 180 - (70 + 71)

<TUS = 39°

9514 1404 393

Answer:

  119 4/7

Step-by-step explanation:

The perimeter is the sum of side lengths.

  10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7

  = (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14

  = 118 + 9/7 + 4/14

  = 118 + 1 2/7 + 2/7

  = 119 4/7 . . . . perimeter of the figure

Step-by-step explanation:

pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.

7*7+x*x=14*14

49+x*x=196

x*x=147

square root of 147, I believe

Answer:

[tex] \large \boxed{x = \frac{2}{3} }[/tex]

Step-by-step explanation:

Goal

Given

[tex] \large{16 - 4(x + 3) = 2x}[/tex]

Step 1

[tex]16 - 4x - 12 = 2x[/tex]

Step 2

[tex]16 - 12 = 2x + 4x[/tex]

Step 3

[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]

Step 4

[tex]16 - 4x - 12 = 2x[/tex]

Substitute x = 2/3 in the equation.

[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]

Evaluate

[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]

Move -8/3 to add with 4/3.

[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

Answer:

interest earned: $105

balance of the account: $455

Step-by-step explanation:

Interest earned and The balance of the account are $105 and $455.

Given:

Amount invested = $350

Interest rate = 3% = 0.03

Number of year = 10 years

Find:

Computation:

simple interest earned = PRT

Interest earned = (350)(0.03)(10)

Interest earned = $105

The balance of the account = 105 + 350

The balance of the account = $455

Find out more information about 'simple interest'

https://brainly.com/question/2793278?referrer=searchResults

Answer:

$67.11

Step-by-step explanation:

3.25/100=0.0325

65*0.0325=2.1125=2.11

65+2.11=67.11

Answer:

a) y = 63/x

b) y = 3

Step-by-step explanation:

Inverse proportionality between two variables means that if one of them increases, then the other one decreases.

These type of relationships can be written as:

y = k/x

Now we know that when y =7, x = 9

Then we can replace these two values and find the value of k.

7  =k/9

7*9 = k

63 = k

The our relationship is:

y = 63/x

This is the solution to a).

Now let's go with b)

We want to find the value of y when x = 21. then we just need to replace x by 21 in the equation "y = 63/x"

We will get:

y = 63/21 = 3

When x = 21, y is equal to 3.

Answer: B. The product of P and S is always a rational number.

Step-by-step explanation: The product AND sum of two rational numbers will ALWAYS be rational.

Answer:

24.20 tax

369.98 total

Step-by-step explanation:

Answer:

[tex] \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1[/tex]

HOPE IT HELPS! :)

Answer: (a) 390 miles im not sure for b

Step-by-step explanation:

Answer:

lines are straight, rays have one point and then a never ending arrow, line segments have 2 ends. i hope this helps.

Step-by-step explanation:

I took math and it will help you too

Answer:

I think the answer is D.

Step-by-step explanation:

Have a good day.

hope this helps! GL!

Answer:

B po

Step-by-step explanation:

hope its help youwithmy answer

Answer:

x = 9

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0

0 + -1x = 0 + -9

-1x = 0 + -9

Combine like terms: 0 + -9 = -9

-1x = -9

Divide each side by '-1'.

x = 9

Answer:

The question is lacking the accompanying line plot, I found a matching line plot online:

Answers:

a) The number of minutes te greatest number of students took to do their homework = 40 minutes

b) The number of combined hours the students spent on their homework [tex]= 5\frac{1}{3}\ hours[/tex]

Step-by-step explanation:

From the diagram, the greatest number of students ( 8 students) take 2/3 hours to do their homework. Converting this time to minutes:

1 hour = 60 minutes

∴ 2/3 hours = 60 × 2/3 = 120/3 = 40 minutes

∴ 40 minutes is the time the greatest number of students take to do their homework

b) combined hours those students did their homework is calculated as follows:

total time =  (number of hours used by 1 student) × number of students

[tex]Total\ time = \frac{2}{3} \times 8 = \frac{16}{3}\\= 5\frac{1}{3} \ hours[/tex]

Answer:

24 ft²

Step-by-step explanation:

AC = 10-(3+3)= 4

AB = 12- (3+3) = 6

AB×AC = 6×4 = 24 ft²

Answer:

if the drawing length is 5 inches, the actual length in feet would be 12.5 ft

Step-by-step explanation:

2 inches = 5 ft

1 inch = 2.5 ft

5*2.5=12.5 ft as final answer.

hope it helps

Answer:

(x,y) => (x, -y)

Step-by-step explanation:

[tex]y = 7x + 3[/tex]

[tex] - y = 7x + 3[/tex]

[tex]y = - 7x - 3[/tex]

so

[tex]g(x) = - 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].

So,

[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]

Hence, [tex]g(x) = - 7x - 3[/tex].

To know more about the function

https://brainly.com/question/10500042

#SPJ2

Answer:

dont trust me on this but i think it is 3/8

Step-by-step explanation:

Answer: 360g

120 --> 10

  x   ---> 30

120*30=10*x

3600= 10*x

x= 3600/10

x= 360

Matthew needs 360g of flour

Answer:

360g flour

Step-by-step explanation:

10 pancakes need 120g of flour.

30 pancakes need x g of flour.

To find x, you first find the ratio between the pancakes and flour.

120g flour / 10 pancakes = 12 g flour needed per pancake

So if you have 30 pancakes,

12g of flour is needed per pancake * 30 pancakes

= 360g of flour is needed for 30 pancakes

Answer:

-2

Step-by-step explanation:

3(-3)^2+5(-3)-14

27-15-14=-2

Answer:

The value of [tex]a[/tex] is 6.

Step-by-step explanation:

Let the line be represented by [tex]3\cdot y = a\cdot x + 6[/tex], where [tex]x[/tex], [tex]y[/tex] are the independent and dependent variable, respectively. The explicit form of the formula is:

[tex]y = \frac{a}{3}\cdot x +2[/tex] (1)

To know the value of [tex]a[/tex], ,we need the values of [tex]x[/tex] and [tex]y[/tex] and solve the resulting expression: [tex](x,y) = (-3,-4)[/tex]

[tex]-4 = \frac{a}{3} \cdot (-3)+2[/tex]

[tex]-4 = -a + 2[/tex]

[tex]a = 6[/tex]

The value of [tex]a[/tex] is 6.

Answer:

-8x+12

Step-by-step explanation:

the perimeter is equal to 2l+2w

so the perimeter would be 2(-5x+10)+2(x-4)

so we just have to use distributive property to simplify it

2x-5x=-10x 2x10=20 2xx=2x  2x-4=-8

now we have -10x+20+2x-8

the last step would be to combine like terms

-10x+2x=-8x

20-8=12

so the expression would be -8x+12

hope this helps :)

Answer:

I think it didnt change

Step-by-step explanation:

Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.