If f(x) is a linear function ,f(-1)=-3 , and f(4)=-5 , find an equation for f(x)

Answers

Answer 1

Answer:

        f(x) = -²/₅ x - ¹⁷/₅

Step-by-step explanation:

The equation of the linear function: f(x) = mx + b

f(-1) = -3   ⇒   -3 = m(-1) + b  ⇒   m = b + 3

f(4)=-5   ⇒   -5 = m×4 + b  

                   -5 = 4(b+3) + b

                   -5 = 4b + 12 + b

                    5b = -5 - 12

                      b = -¹⁷/₅

m = -¹⁷/₅ + 3 = -¹⁷/₅ + ¹⁵/₅ = -²/₅

Therefore the function:

                                    f(x) = -²/₅ x - ¹⁷/₅

Related Questions

last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the total number of pies baked in the two years

Answers

Answer:

b+194=pies

Step-by-step explanation:

take the number of pies baked this year then add the b and then you get p(pies)

The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they've scored the following points.
84, 67, 74, 87, 67, 73
What is the mean of their scores?
20
67
73.5
75.3

Answers

Answer:

75.3

Step-by-step explanation:

Adid all of them together an divide. y how many which gives you 75.3 recurring.

Answer: 75.3

Step-by-step explanation: You add all of them up and you get 452(Total points scored)

452/6(The amount of games)=75.333... or in your case 75.3

It takes Kyle of an hour to walk of a mile. He walks 2 miles. How many hours did it take him?

of 1/5an hour
of 2/5an hour
of 3/5 an hour
of 4/5 an hour

forgot it has answer choices

Answers

Answer:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

I believe the correct answer is 4/5 of an hour.

What percent is...

50% of 50% of x

Answers

It’s 25%...........

Answer:

25%

Step-by-step explanation:

Help! Benji has 10 bills that add up to $320. Some are 50-dollar bills and the rest are 20-dollar bills. How many 50-dollar bills and 20-dollar bills are there ?

Answers

its 4 50-dollar bills and 6 20-dollar bills because if you multiply 50 and 4 it gives you 200 so you have $120 left so you divide 20 by 120 and it’ll give you 6

how many solutions does y=-7x+8 y=-7x-8 have?

Answers

Answer:

no solutions

Step-by-step explanation:

Given the 2 equations

y = - 7x + 8 → (1)

y = - 7x - 8 → (2)

Substitute y = - 7x - 8 into (1)

- 7x - 8 = - 7x + 8 ( add 8 to both sides )

- 7x = - 7x + 16 (add 7x to both sides )

0 = 16 ← not possible

This indicates the system has no solutions

Hey there!

The answer to your question is [tex]no[/tex] [tex]solutions[/tex]

To solve this, we will set the equations equal to eachother. We know that since the two expressions, [tex]-7x+8[/tex] and [tex]-7x-8[/tex] both equal [tex]y[/tex], then the expressions are equal. (Somebody comment what property that is, I forgot what it's called) So:

[tex]-7x+8=-7x-8\\[/tex]

Add [tex]8[/tex] to both sides:

[tex]-7x+16=-7x[/tex]

Add [tex]7x[/tex] to both sides:

[tex]16 = 0[/tex]

Therefore, there are [tex]no[/tex] [tex]solutions[/tex].

Have a terrificly amazing day!

help pls...........:)​

Answers

Answer:

Here

Step-by-step explanation:

question in the image attached​

Answers

Answer:

A impossible

Step-by-step explanation:

Answer:

Likely

Step-by-step explanation:

Because it could end up with any any number, but, probibility is based on fractions so it would be 1/6 likely to land on a 7.

m = -7 and it passes through the point (0,4)

Answers

Answer:

Y = -7x + 4

Step-by-step explanation:

Answer:

y=(-7)x+4

Step-by-step explanation:

y=m(x)+b

we know m so it is

y=(-7)x+b

the y intercept is 4 since the y intercept is when x=0

and we have our answer

y=(-7)x+4

sorry again but i'm having trouble on this one

Answers

Answer:

m∠PNO = 60°

m∠O = 33°

Step-by-step explanation:

∡NPO is 87° because it's a vertical angle with the 87° angle

3) ∡PNO is supplementary to the 120° angle (they must add to 180°)

4) m∠O = 180 - (60 + 87) = 33

ACDE is reflected over the y-axis.

Answers

.....It's D on Ap3x....

Which of the following equations could you solve by first adding six and then dividing by negative three?

6 - 3 x = -9
+ 6 = -9
-3 x - 6 = -9
3 x - 6 = -9

Answers

Answer:

-3x - 6 = -9    (The third answer)

Step-by-step explanation:

When solving for x, you have to undo each operation. When solving -3x - 6 = -9, you have to undo the -6 first. To do this, add 6 to both sides. Then, you must undo the -3x. To do this, divide by -3 from both sides.

is 25 meters longer then 35 yards

Answers

no 35 yards is longer

Please Help with all questions

Answers

1) 50
2) 17
3) 31
4) 107
5) 6
6) 15 i think?? sorry
7) $522
8) 182
9) 7.56 lb
10) $288.83

At age 9, Gerald is 5 feet tall. If he grows at a rate of 1.5 inches per year, how old will he be when he hits 6 feet?

Answers

Step-by-step explanation:

he will be 17. he is going to grow 1.5 inch per year, if we do 1.8×8= 12.0 or 1 ft so it will take him 8 years to be 6feet

El día 12 de diciembre en Moscú se registró una temperatura de 13° bajo cero, a esa misma hora, en buenos Aires hacía una temperatura de 25 grados sobre cero. ¿Qué diferencia térmica existía en ese momento entre las dos ciudades? A.38 B.-38 C.12 D.-12

Answers

Answer:

A. [tex]38\ \text{grados}[/tex]

Step-by-step explanation:

La temperatura en Moscú es de 13 grados bajo cero. Entonces, la temperatura es de -13 grados.

La temperatura en Buenos Aires es de 25 grados bajo cero. Entonces, la temperatura es de 25 grados.

La diferencia de temperatura entre las dos ciudades es

[tex]25-(-13)=38\ \text{grados}[/tex]

La diferencia de temperatura entre las dos ciudades en un momento dado es  [tex]38\ \text{grados}[/tex].

the cylinder has a height of 30cm and radius 11cm. work out the total surface area of cylinder

Answers

Answer:

total surface area=2832.66 cm^2

Step-by-step explanation:

11^2(3.14)x2=area of ends=760.26 cm^2

11x2x3.14=circumference=69.08 cm

69.08x30=area of side=2072.4 cm^2

2072.4+760.26=2832.66 cm^2

solve the inequality y - 8 > 13

Answers

Y >21 this is the inequality form for you’re question

Radius and diameter
How would I do this

Answers

Answer:

16

Step-by-step explanation:

The radius is half the diameter.

2×8=16cm

Answer:

[tex]16[/tex] cm

Step-by-step explanation:

The length of the diameter is simply twice, or two times as large as, the length of the radius. Therefore, if the length of the radius is [tex]8[/tex] cm, then the length of the diameter will be [tex]8*2=16[/tex] cm. Hope this helps!

A truck can be rented from Company A for $140 a day plus $0.40 per mile. Company B charges $60 a day plus $0.50 per mile to rent the same truck. Find the numbers of miles In a day at which the rental costs for Company A and B are the same. (PLEASE ANSWER I CANT FAIL THIS SEMESTER FRFR)

Answers

Answer:

please see attached picture

8. Simplify 5mn2 - 8m + mn2.

Answers

Answer:

Step-by-step explanation:

[tex]5mn^2-8m+mn^2\ \\ 6mn^2-8m\\ \\ 2m(3n^2-4)[/tex]

If m<1=(6x+25), and m<2=(x+5), find m<2

Answers

Answer:

Assuming they are equal to each other, X = -4

Step-by-step explanation:

6x + 25 = x + 5

Subtract 5 from both sides

6x + 20 = x

subtract 6x from the left side

20= 5x

divide by 5

-4 = x

Harry is trying to complete his hill walking scouts badge. He is using a map with a scale of 1cm :2km.Harry has completed 4cm of the route on his map.How far has he actually walked?

Answers

Answer:

8km

Step-by-step explanation:

Given data

Scale is 1cm :2km

that is 1cm to represent 2km

hence

if 1cm represents 2km

the 4cm will be x

cross multiply

4*2= x

x= 8km

Hence he walked 8km

Indique cuáles afirmaciones son verdaderas (V) y cuáles falsas (
+5 está a la derecha de +3.
-3 está a la izquierda de +3.
-5 está a la a la derecha de -4.​

Answers

Answer:

+5 esta a la derecha de +3 y -3 esta a la izquierda de +3

Find the mode of the data

Answers

9 because it’s the most seen number

Answer:

9

Step-by-step explanation:

Mode: the value that occurs most frequently in a given set of data

9 has the most dots stacked up for the number of hours slept--

(in that particular data set)

Hope this made sense!

kahulugan Ng matinik​

Answers

Answer:

MATALINO

MADISKARTE

BTW WHAT R U DOING HR?

Keisha and her friends visit the concession stand at a
football game. The stand charges $2 for a hot dog and $1
for a drink. The friends buy a total of 8 items for $11. Tell
how many hot dogs and how many drinks they bought.

Answers

4 hotdogs and 3 drinks.

The ratio of tagged fish to untagged fish was 2 to 9. Ninety fish were tagged. How many fish were untagged

Answers

Answer:

405

Step-by-step explanation:

Since

2 : 9 = 90 : X

Then we know

9/2 = X/90

Multiplying both sides by 90 cancels on the right

90 × (9/2) = (X/90) × 90

90 × (9/2) = X

Then solving for X

X = 90 × (9/2)

X = 405

Therefore

2 : 9 = 90 : 405

Ivan plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.

Answers

Answer:

n = 3 x m

Step-by-step explanation:

n will represent the total movies he will watch in m month according to your plan of watching three movies each month.

A rectangular prism has a length of 3.1 inches, a width of 5 inches, and a height of 1į inches.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number orla decimal.
in. 3

Answers

The formula for volume of a prism if V=lwh
Length=3.1
Width = 5
Height = 1
(3.1)(5)(1)
= 15.5inches^2
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