Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a

Answers

Answer 1

Answer:

  a = 20 because the rate of change is -3

Step-by-step explanation:

In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.

The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...

  a = 20 because the rate of change is -3


Related Questions

Evaluate the following expression.
5-1
50

Answers

Step-by-step explanation:

Hope this is correct

Hope it helps you

wiil mark bianleast
Which describes the translation?


7 units to the right and 2 units down

7 units to the right and 2 units up

2 units to the left and 7 units up

7 units to the left and 2 units down

Answers

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

PLS HELP ITS OK IF U DONT KNOW ONE OF THEM AND IF U HAVE THE WORK PLS PUT IT THANK U!!!

Answers

Answer: I hope it helps

FDHI

Step-by-step explanation:

[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]

[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]

[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]

y = 2x-4

when x= 0

y = 2(0)-4

y =-4

y = 2x - 4

when x = 1

y = 2(1) -4

y = 2-4

y = 2

and so on....

A - Negative - the more slices eaten , the fewer there are

[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]

What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2

Answers

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

For each function, state weather it’s linear

Answers

Answer:

Step-by-step explanation:

function 1

slope=(1-0)/(0+2)=1/2

or slope=(4-1)/(2-0)=3/2

which is not same.

so it is not linear.

Function 2.

slope=(1+2)/(-3+4)=3/1=3

or slope=(4-1)(-2+3)=3/1=3

or slope=(7-4)/(-1+2)=3/1=3

slope is same. so it is linear.

I need help solving this asap

Answers

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

152 divided by 1,000

Answers

Answer:

0.152

Step-by-step explanation:

152 divided by 1,000 equals around 0.152.

The calculated division of the numbers 152 divided by 1000 is 19/125

How to calculate the division of the numbers

From the question, we have the following parameters that can be used in our computation:

152 divided by 1000

When represented as an equation, we have

152 divided by 1000 = 152/1000

Divide 7 by 4

So, we have the following result

152 divided by 1000 = 19/125

Using the above as a guide, we have the following:

the result is 19/125

Read more about quotient at

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write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.

Answers

Answer:

No Spaces - y=3x+4

Step-by-step explanation:

Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )

The equation of the asked line is y = 3x+4

What is an equation?

The equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, a line with a slope of 3 and a y-intercept of 4.

The standard equation of a line is;

y = mx+c

Therefore, putting the values we get,

y = 3x+4

Hence, The equation of the asked line is y = 3x+4

For more references on equations, click;

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Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Answer:

3 hours

Step-by-step explanation:

3/4 + 3(3/4) =4*(3/4) = 3

If anyone helps me with these questions I will give them Brainiest

Answers

Answer:

For question 2: the answer is 84 cm

Step-by-step explanation:

The formula for the area of a rhombus/parralelogram is A = bh or base times height.

Answer:

For question 4: the answer is 465 cm

Step-by-step explanation:

The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)

Answer:

For question 5: the answer is 45

Step-by-step explanation:

The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)

Answer:

For question 6: the answer is 180 feet

Step-by-step explanation:

The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.

Answer:

For question: 9 the answer is 21

Step-by-step explanation:

The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.

Answer:

For question 10: the answer is 11.7

Please mark brainliest I worked hard on these questions.

DEllAC AD=BE AB=16 BC=24
BE-? BD-?

Answers

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Given f(x)=3x - 1 and g(x)=-x + 6 find f(-2) + g(5)

Answers

Answer:

Step-by-step explanation:

f(-2)= 3(-2) - 1 = -6 - 1 = -7

g(5)= -5 + 6 = 1

-7 + 1 = -6

The accompanying stem-and-leaf plot represents Kiko's test scores this year. What is the median score for this set of data?

Answers

Answer: 80

Write down all the values and cross out until you get to the middle, since there are 2 values, find the mean, which would be 80

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?

Answers

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

This one has really stumped me, if you could also explain how you got the answer (as well as the answer) that would be amazing! Thank you!

Answers

Answer:

98092718

Step-by-step explanation:

lets convert cubic yards to cubic meters

1 cubic meter=1.30790290586 cubic yard

there is an estimated amount of about 750,000,000*1.30790290586 cubic yards

750,000,000*1.30790290586= 980927179.395 cubic yards

now each truck can hold 10 cubic yards, so, divide 980927179.395 by 10

980927179.395/10=98092717.9395

round to the greatest whole number (there can't be any sediment left on Mt. Helens)

98092717.9395 to 98092718

we need 98092718 dump trucks to scoop it all up

HELP QUICKLY FOR BRAINLISTS!!!
Determine the intercepts of the line.
y-3=5(x-2)

Answers

Answer:

x int = 7/5

y int = -7

Step-by-step explanation:

y = 5x - 7

when x = 0

y = -7

when y = 0

-5x = -7

x = 7/5

Answer:

y.(0.-7)

x.(1.4,0)

Step-by-step explanation:

Find the volume. SHOW WORK

Answers

Answer:

827.39

Step-by-step explanation:

Volume = L X W X H

So 6.2 X 8.5 X 15.7

6.2 X 8.5 = 52.7

52.7 X 15.7 = 827.39

So the volume is 827.39

Answer:

413.695


Explanation:


V = 0.5 X b X a X h

The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.

Answers

It's an equation.

(Btw i luv your profile pic :))

Answer:

It's an equation.

Step-by-step explanation:

[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value

for an example,

[tex]4 < 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?

A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)

Answers

Answer:

Step-by-step explanation:

8 -x = 13 - 2x

x + 8 = 13

x = 5

y = 8 - 5

y = 3

(5, 3)

1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment?

1. 8
2. 12
3. 14

2. How many possible outcomes are there when Shannon flips a head and rolls an even number?

1. 3
2. 4
3. 6

3. What is the theoretical probability that Shannon flips a tail and rolls a two?

1. 2/12
2. 1/12
3. 3/12

Answers

Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.

Answers

Answer:

25% = (p) 1/4 = picking a number 9.

(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9

This is add rule from the 4 card set.

1/4 + 0 + 0 + 0 = 1/4

Because each (P) is equal and shows (P); 1/4  

there are 1 event so 1/4 + 0= 1/4 = 0.25%

Step-by-step explanation:

0.25 x 100 = 25%

Answer:

25%

Step-by-step explanation:

there are 4 options so there are 25% chance it will be 9

The dimensions of a plastic container are 8 in x 6 in x 4 in. What is the volume of the container? in3

Answers

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9948. How much do you think
ABC will be worth at x = 34 days?
A. $2343.31
B. $22.17
C. $2262.43
D. $65.89

Answers

The answer is C. $2262.43!

The amount of ABC will be at x = 34 days is, $2245.46.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

Learn more about the mathematical expression visit:

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I have finished the table but stuck in the question after...

Answers

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me

Answers

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

t: 8 hoursy = n/2 (half of a radioactive element remains)

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

Using substitution to alive equation with two variables

Answers

Answer:

X=27

Step-by-step explanation:

-4•4= -16

Move -16 to the other side

3x=81

x=27

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0? Please just copy and paste this into brainly, I ran out of skips

Answers

Answer: 2

Step-by-step explanation:

Answer:

The Radius of the circle of center (-4, 3) is 2.

Radius = 2

Step-by-step explanation:

This is the general form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

Let's convert this to standard form:

[tex]x^2+y^2+8x-6y+21=0[/tex]

[tex]x^2+y^2+8x-6y=-21[/tex]

Group/organize [tex]x[/tex] and [tex]y[/tex] terms:

[tex]x^2+8x+y^2-6y=-21[/tex]

[tex](x^2+8x)+(y^2-6y)=-21[/tex]

Now, let's begin the process to complete the square in both parentheses.

[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]

[tex](x+4)^2+(y-3)^2=4[/tex]

Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.

Answers

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed


please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

-17/27=-0.63

-8/18=-0.44

In a cartesian plane

-ve side is in the left side of zero

after zero you meet -0.44 first before -0.63

This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.

someone please help me please and thank you

Answers

Answer:

it is the second one

Step-by-step explanation:

if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.

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