What is the average rate of change from x = −1 to x = −2?

Answer:

Student 1 has the correct answer

Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.

Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

Answer:

6 < x < 26

Step-by-step explanation:

let x be the third side, then

difference of 2 sides < x < sum of 2 sides , that is

16 - 10 < x < 16 + 10

6 < x < 26

Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

Answer:  A

Step-by-step explanation:

Reflection across y = 3

The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)

U = (-5, 4) is 1 unit above y = 3

U' = (-5, 2) is 1 unit below y = 3

T = (0, 5) is is 2 units above y = 3

T' = (0, 1) is 2 units below y = 3

S = (-4, 2) is 1 unit below y = 3

S' = (-4, 4) is 1 unit above y = 3

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)

U' = (-5, 2) is 4 units to the left of x = -1

U'' = (3, 2) is 4 units to the right of x = -1

T' = (0, 1) is 1 unit to the right of x = -1

T'' = (-2, 1) is 1 unit to the left of x = -1

S' = (-4, 4) is 3 units to the left of x = -1

S'' = (2, 4) is 3 units to the right of x = -1

Answer:

16

Step-by-step explanation:

If P is a right angle the the value of 7x - 22 would be equal to 90°

7x - 22 = 90°

7x = 112°

x = 16

Answer:

(0, -1/2)

Step-by-step explanation:

Rewrite this as y = -2x^2.  Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.

Comparing y = -2x^2 with

                   y = 4px^2, we see that 4p = -2, or p = -1/2.

The focus of this parabola is below the x-axis:  (0, -1/2).

Answer:

the answer is b

Step-by-step explanation:

plz give me a Brainliest

A word that describes the slope of the line is negative. The correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

For this case the first thing you should know is that we have an equation of the form:

y = mx + b

Where,

m: The slope of the line

b: Cutting point with the vertical axis.

For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.

This means that it is true that:

m < 0

Therefore, the slope of the line is negative.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ5

Complete Question:

In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?

Answer:

3.2ft

Step-by-step Explanation:

From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.

Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.

Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft

Answer:

c

Step-by-step explanation:

Answer:

20 feet

Step-by-step explanation:

Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!

Answer:  20 feet

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex

h is the axis of symmetry (time at which maximum height is reached)

k is the maximum height

Given: y = -(x - 7)² + 20

--> h = 7, k = 20

therefore, the maximum height of the ball is 20

Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

Answer:

66

Step-by-step explanation:

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

Answer:

create a graph

Step-by-step explanation:

you have to make a line on the graph using the function

Answer: 110 yards

Step-by-step explanation:

From the question, the distance from the shovel to the treasure chest is

60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.

The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.

= 60 yards + 50 yards

= 110 yards

Answer:

10

Step-by-step explanation:

15x = 40 + 11x

4x = 40

x = 10

10 tables they would cost the same, so more than 10 tables would make the second company cheaper

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

a=250 and b=10

Step-by-step explanation:

a=5*100/2=250

b=200*5/100=10

Answer:

a = 250

b = 10

Step-by-step explanation:

1) a = [tex]\frac{5x^2}{2}[/tex]

Putting x = 10

a = 5(10)²/2

a = 5(100)/2

a = 250

2) b = [tex]\frac{2x^2(x-5)}{10x}[/tex]

Putting x = 10

b = 2(10)²(10-5) / 10(10)

b = 2(100)(5) / 100

b = 1000 / 100

b = 10

Answer:

x = 2 or x = -2

Step-by-step explanation:

5x² - 15 = 5​

⇌

5x² = 15 + 5

⇌

5x² = 20

⇌

x² = 20/5 = 4

⇌

x² = 2²

⇌

x² - 2² = 0

⇌

(x - 2)(x + 2) = 0

⇌   we use the zero product property

x - 2 = 0 or x + 2 = 0

⇌

x = 2 or x = -2

Answer:

3x+2y=-1

Step-by-step explanation:

moving the numbers around, the outcome will have to be different

// have a great day //

Answer:

c) 3x - 2y = -1

Step-by-step explanation:

Given equation,

→ 3x + 1 = 2y

Conversion into standard form,

→ 3x + 1 = 2y

→ 3x + 1 - 2y = 0

→ 3x - 2y = -1

Hence, option (c) is correct.

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

Using the line of best-fit, it is found that:

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

The line of best-fit is given by:

[tex]y = bx + a[/tex]

[tex]b = \frac{\sum (x - \overline{x})(y - \overline{y})}{\sum (x - \overline{x})^2}[/tex]

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

The means are given by:

[tex]\overline{x} = \frac{0 + 1 + 2 + 3 + 4 + 5}{6} = 2.5[/tex]

[tex]\overline{y} = \frac{1015 + 960 + 950 + 902 + 929 + 866}{6} = 937[/tex]

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

The sums are:

[tex]\sum (x - \overline{x}) = (0 - 2.5) + (1 - 2.5) + ... + (5 - 2.5)[/tex]

[tex]\sum (y - \overline{y}) = (1015 - 937) + ... + (866 - 937)[/tex]

Using a calculator:

[tex]\sum (x - \overline{x})(y - \overline{y}) = -443[/tex]

[tex]\sum (x - \overline{x})^2 = 17.5[/tex]

Thus, the slope is:

[tex]b = -\frac{443}{17.5} = -25.31[/tex]

And

[tex]y = -25.31x + a[/tex]

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

Using the means to find a:

[tex]y = -25.31x + a[/tex]

[tex]937 = -25.31(2.5) + a[/tex]

[tex]a = 1000[/tex]

Thus, the linear regression model is:

[tex]y = -25.31x + 1000[/tex]

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

The number of cases would reach 543 in x years after 2008, and x is found when y = 543. Thus:

[tex]y = -25.31x + 1000[/tex]

[tex]543 = -25.31x + 1000[/tex]

[tex]25.31x = 1000 - 543[/tex]

[tex]x = \frac{1000 - 543}{25.31}[/tex]

[tex]x = 18.1[/tex]

2008 + 18 = 2026

The estimate is that the number of cases would reach 543 in the year of 2026.

A similar problem is given at https://brainly.com/question/21826199

Question:

The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

[tex]nth\ term = \frac{3n^2}{2}[/tex]

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]

[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]

[tex]5th\ term = \frac{75}{2}[/tex]

[tex]5th\ term = 37.5[/tex]

Hence, the 5th term of the sequence is 37.5

Answer:

45×10^10

Step-by-step explanation:

try opening the brackets group and you get the answer

Answer: 2b = 3g

Step-by-step explanation:

This is quite basic to solve, below is a Step by step explanation:

from the given question we have that;

       i.e  b = 1500 gallons per minute

          g = 1000 gallons per minute.

Our questions tells us to write the equation which  relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

ANS:

Since flow from blue  hydrant b = 1500 gallons per minute, we have that

b = 3 * 500

b = 3 * 1000/2 g

b = 3/2 g

equation  gives 2b = 2g

cheers i hope this helped !!

Answer:1/16

Step-by-step explanation:

So I plugged in -4 for x

f(x)=2^-4= 1/16

hope that helps

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

Quick answer 3/24 or 1/8

Answer:

3:11 and 6:22

Step-by-step explanation:

Answer: 2:14, 12:6, and 2:1

Step-by-step explanation:

2:1 and 12:6 are equal because you can multiply the 2 and 1 in 2:1 by 6 to get to 12:6.

But 2:14 is not equal to the ratio 2:1, because you can't multiply 2 and 1 to any one number to equal the ratio 2:14.