f(7)=
g(7)=
The equation for f(x) is
The equation for g(x) is

F(7)=g(7)=The Equation For F(x) Is The Equation For G(x) Is

Answers

Answer 1

Answer: f(7) = -128

g(7) =  26

Equation of f(x):  f(x)= -11x-51

Equation of g(x): g(x)=3x+5

Step-by-step explanation:

Rate of change of a function: [tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

From the table. Rate of change in f(x)= [tex]\dfrac{f(1)-f(0)}{1-0}=\dfrac{-62+51}{1}=-11[/tex]

Rate of change in g(x)= [tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{8-5}{1}=3[/tex]

Also, the rate of change throughout the function is the same, hence both are linear functions.

Equation of linear function:  [tex]f(x)=mx+c[/tex], where m= rate of change of function, c = f(x) at x=0.

From table, f(0)= -51 , g(0)=5

Equation of f(x): f(x)= -11x-51

Equation of g(x): g(x)=3x+5

f(7) = -11(7)-51 = -77-51 = -128

g(7) = 3(7)+5 = 21+5 = 26

f(7) = -128

g(7) =  26


Related Questions

Form and solve an equation for .
5x - 7
23

Answers

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

hi, how can i graph the equation,

10i + 16p = t

?? thanks

Answers

Graph using a few selected points
Asymptotes: y=x/4, y=-x/4
Graph is inserted below :)

a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain

Answers

Yes the jug can hold the punch!

If you add up 1/2 + 1/4 + 3/8 + 5/8 you’ll end up with 1 and 3/4 cup so it is close to 2 cups but not quite there yet!

Hope this helps!

Find the explicit formula for the given sequence 2, 4, 8, 16...

Answers

Answer:

Option A

Step-by-step explanation:

100% sure

Answer:

I would think it A

Step-by-step explanation:

in 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the sun is 149.6 million kilometers. ( if u answer all them i'll give u brainliest but if not its alr)

1. How close was halley's comet to earth in 1910?create an equation to answer the question.

2. estimate the next 3 years when halley's comet will appear.

3. the core of halley's comet is oblong in shape, with its longest dimension 16 km long. earth's diameter is about 12,700 km . how many times larger in diameter is earth than halley's comet?

Answers

1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.

2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.

3) Earth is 794 times larger in diameter than Halley's Comet.

Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:

1)

149.6 / 7 = X 21.37 = X

2)

1986 + 75 = 2061 2061 + 75 = 2136 2136 + 75 = 2211

3)

12700/16 = X 793.75 = X

Learn more about maths in https://brainly.com/question/26088658

The relationship between Halley's comet and the earth is an illustration of proportions

The given parameters are:

Earth's distance from the sun = 149.6 million kilometersHalley's comet traveled close to 1/7 of the distance.

(a) The distance

The distance which Halley's comet get to is calculated using:

[tex]d = \frac 17 \times 149.6\ million\ km[/tex]

So, we have:

[tex]d = 21.37\ million\ km[/tex]

Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.

(b) The next three years it will appear

From the complete question, the comet is visible every 74 years.

It appears in 1910.

So, the next three years are:

[tex]Year\ 1 = 1910 + 74 = 1984[/tex]

[tex]Year\ 2 = 1984 + 74 = 2058[/tex]

[tex]Year\ 3 = 2058 + 74 = 2132[/tex]

Hence, the comet will appear in 1984, 2058 and 2132.

(c) The number of times the earth is larger

The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.

So, the number of times (n) which the earth is greater than the comet is:

[tex]n = \frac{12700}{16}[/tex]

[tex]n = 794[/tex] --- approximated

Hence, the diameter of the earth is 794 times larger than Halley's Comet.

Read more about proportion at:

https://brainly.com/question/1781657

Name the quadrilateral that has a right angle and four congruent sides.
A. Parallelogram
B. Rectangle
C. Rhombus
D. Square

Answers

Answer:

D. Square

It is the only one with all right angles and sides the same length

Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?

Answers

Answer:

3/5

Step-by-step explanation:

subtract the fractions then turn the decimal into a fraction.

not sure about these either...

Answers

5 is a and 6 is also a

a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations​

Answers

4,-2

distribute and combine like terms

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)

Substitution
3x+y=-8, -8x-3y=21
PLEASE HELPP ME<3

Answers

X=-3, y= 1 using the substitution method

find a single discount equivalent to two successive discount of 20% and 5%​

Answers

Answer:

Let the marked price =Rs100

After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80

After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76

Final Selling = Rs76

Total Discount = 100−76=Rs24

Thus, discount % = 10024×100 = 24%

what is the equation of this graph?

a) y=-1
b) x=-2

Answers

Answer:

a) y=-1

Step-by-step explanation:

Graph is intersecting y-axis at (0,-1)

So equation of the graph is y = - 1

Find the measure of angle STP.
Pleasee help!!

Answers

Answer:

105

Step-by-step explanation:

15x=7x+6+7x+1

15x=14x+7

x=7

15(7)=105

HELP ASAP ILL MARK BRAINLIEST

What is the distance between tho y-Intercept of the function (x) = 3(2) and tho y-intercept of the the function g(x) represented by the table below?
х
g(x)
-5
15
- 2
3
2
-13
и |
-25
2 units
3 units
O 8 units
O 9 units

Answers

Im pretty sure its 8 units

(580+393,873,532) -(353,453x4,543)÷657

Answers

Answer:

257169554605/657 or about 391430068

Answer:

1844540.13242 or 1844540 R 87

Step-by-step explanation:

(393874112 ) - (1605736979) = -1211862867 ÷ 657 = 1844540.13242

The long division work is in the image.

What is the area? pleaseee helppppp

Answers

Answer:

A = 12 sq in

Step-by-step explanation:

A = bh/2

A = 6(4)/2

A = 12

Can somebody who knows how to do this plz help answer these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLEST WHOEVER ANSWERS FIRST :DDDD

Answers

Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

Write the equation of the line in fully simplified slope-intercept form.
5
4
3
2
1
-12-11-10-9-8
5
5
1 2 3 4 5 6 7 8 9 10 11 12
3-2-2
-2
-3
- 4
-5
-6
-7
-8
= "
-10
-12

Answers

Answer:

y = - x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1

The line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 ← equation of line

It snowed 3.4 inches on Monday and 2.92 inches on Tuesday. How much did it snow on Monday
and Tuesday combined?

Answers

Answer:

6.32 in.

Step-by-step explanation:

2.92 + 3.4 = 6.32

Answer: 6.32 inches

.........................

Ami andieiwiiwkwkwkskkskskskskskw

Answers

Answer:

The only true statement is C

Step-by-step explanation:

The area of Amy's garden is 176 in²

The area of Burts garden is 324 in²

Therefore the only true statement is C.

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

6v^2-6v-660
Factor the polynomial completely

Answers

Answer:

[tex]6 (v-11) (v + 10 )[/tex]

Step-by-step explanation:

i dont have any

AnsweR 6(V-11)(V+10)

Step-by-step explanation:

step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)

step 2:identify constants b and c. b+-1 and c=-110

step3:find out all pairs of -110.

-1,110    1,110

-2,55    2,-55

-5,22      5,-22

-10,11      10,-11

step4: place 10 and 11 into place holders

x^2-x-110=(x+-)(x+-)

x^2-x-110=(x+10)(x-11)

Simplify the following rational expression and express in expanded form.
6
m
2

5
m
y

y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−

Answers

Answer:

6m²-5my-12m

Step-by-step explanation:

dont get it oooo

Answer:

On khan Academy,

it is m-y/2

Find the sum. Write your answer in standard form.
(7x +13) + (x3 + 4x2 – 8)

Answers

Answer:

. Simplify: (4x2 - 2x) - (-5x2 - 8x).

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2) Step-by-step explanation:

The answer is 4x^2+10x+5

⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(



Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?


A. States had to pay taxes set by Congress and provide soldiers during war time.


B. States had to provide representatives to Congress but soldiers were sent only to state militaries.


C. States sent representatives to Congress and provided soldiers and some officers to protect the country.


D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.

Answers

Answer:

i think the answer would be b

Step-by-step explanation:

sorry if i am wrong

Will give brainliest!

Answers

Answer:

Step-by-step explanation:

multiply 0.83 by 0.06 = 0.0498

multiply 0.17 by 0.52 and add that to the first one

which gives you the prob of winning of 0.1382

What percent of 315 is 63?

Answers

Answer:

20%

Step-by-step explanation:

Write the problem as a mathematical expression.

63/315

Convert to decimal

0.2

Times by 100

0.2 times 100

20%

Is 32 + 33 equal to 35 ? Explain.
!!! help

Answers

Answer:

no

Step-by-step explanation:

32+33=65

please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

3og -5 “times (x)” 3

Step-by-step explanation:

(3og minus 5) times 3

I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something

A blade of a windmill completes 1 rotation every 4 seconds. The outer end of the blade travels 600 feet in 1 rotation. What is the speed of the outer end of the blade in feet per minute?

NEED ANSWERS ASAP

Answers

Answer:

900 feet per minute

Step by step solution:

I did 60÷4 then it is 15 so 600*15 is 9000

Hope i am right...

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