f(0) = -5, f(4) = -3

Answers

Answer 1

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

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, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line


Related Questions

Slope of (2,8) and (2,6)

Answers

no slope because the points are vertical.

The area of a rectangle is less than 81 square centimeters. The length of the rectangle is 9 centimeters and the width is x centimeters. Select the possible value(s) of x.

Answers

Answer:

Given

The area of a rectangle is less than 81 square centimeters

length 9cm

width =x cm

Step-by-step explanation:

Area of rectangle=length ×width

= 9×X

Area of rectangle is less than 81 cm^2

So 9x-81=0

X=81/9

X=9

So the value of xis 9

can you please tell me if i got these right

Answers

Answer:

They are right! Great job!!

Simplify the expression:

–3(9 − x) =

Answers

Answer:

Expand  [tex]-3(9-x): -27 + 3x[/tex]

Step-by-step explanation:

[tex]-3(9-x)[/tex]

Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]a = -3, b=9, c=x[/tex]

[tex]=-3*9-(-3)x[/tex]

Apply minus - plus rules:

[tex]-(-a)=a[/tex]

[tex]= -3*9+3x[/tex]

Multiply the numbers: [tex]3 * 9 = 27[/tex]

[tex]=-27+3x[/tex]

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

You plan to invest $100 per month for the next 10 years into an account that pays 8% with daily compounding. How much will you have in the account in 10 years?

Answers

Answer:

FV= $18,213.18

Step-by-step explanation:

First, we need to calculate the monthly real interest rate:

Daily interest rate= 0.08/360= 0.00022

Monthly interest rate= (1.00022^30) - 1

Monthly interest rate= 0.0066

Assuming a year of 360 days, and months of 30 days.

Now, we can determine the future value of the investment:

Monthly deposit= $100

Number of periods= 10*12= 120

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.0066^120) - 1]} / 0.0066

FV= $18,213.18

what is simplified expression for the expression below? 4(x+8)+5(x-3)

A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47

Answers

4(x+8)+5(x-3)

4x+32+5x-15

9x+17

The answer is CCCCCCCC

can you guys please help me with this and fast?
∛125?

Answers

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Find an integer $x$ such that $\frac{2}{3} < \frac{x}{5} < \frac{6}{7}$.

Answers

Answer:

5

Step-by-step explanation

Aops Question

[x] can be any number between -

3.33 < x < 4.29.

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following inequality -

[tex]$\frac{2}{3} < \frac{x}{5} < \frac{6}{7}[/tex]

We can write -

x/5 > 2/3

x > 10/3

x > 3.33

and

x/5 < 6/7

x < 30/7

x < 4.29

[x] can be any number between -

3.33 < x < 4.29

Therefore, [x] can be any number between -

3.33 < x < 4.29.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

4) A cell phone company would like to run a promotion for a limited time. The cellphone
company is activating a phone line for $40. People will have to pay $50 each month for
phone service. Which equation can be used to find y, the amount that someone will pay
for x months?
y = 40x + 10
y = 40x + 50
y = 40 + 50x
y = 10x + 40

Answers

y=40+50x

$40 is the initial price so it stays constant. It never changes.

$50 is the slope because every month they pay $50 so it’s increasing at a constant rate and always stays linear.

The larger of two numbers is two more than five times the smaller number.if the sum of the two numbers is 80 find both number

Answers

Answer:

the smaller number is 13 and the larger number is 67

can someone help me fill this out....​

Answers

Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

Someone plz help me I’m on my last question for delta math. I added a screenshot below

Answers

Answer:

f(x) = -2x – 7 ; if x < -5

-(x + 2)² + 6 ; if -5 ≤ x < 0

√(x) – 1 ; if x ≥ 0

An ice cream shop sells large cones for $2.50 and small cones for $1.50. Jack has enough money to buy 21 large cones. How many small cones could Jack buy?


plz healp

Answers

Answer:

the answer is 35 small cones

Step-by-step explanation:

2.50 x 21 = 52.50

52.50 / 1.50 = 35

The answer is 14 because 21 divided by 1.50 equals 14

What is 75% of 80?
A.
20
B.
45
C.
60
D.
75

Answers

Answer:

the answer is C. 60 .....

Answer:

C 60 is the answer

Step-by-step explanation:

75x80 divided by 100= 60

   

Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *

Answers

Answer:

300 minutes

Step-by-step explanation:

Step one:

Given data

AT&T’s plan

monthly charge= $19.99

additional charge per minute= $0.35

let the number of minutes be x

let the total charges be

y=0.35x+19.99----------1

Verizon’s plan

monthly charge= $34.99

additional charge per minute= $0.3

let the number of minutes be x

let the total charges be

y=0.3x+34.99----------2

Step two:

equating the two equations above we have

0.35x+19.99=0.3x+34.99

collect like terms

0.35x-0.3x=34.99-19.99

0.05x=15

divide both sides by 0.05

x=15/0.05

x=300

For the two plans to cost the same, it will take 300 minutes

Answer:

300 Minutes

Step-by-step explanation:

On Wednesday, 10% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases?

Answers

Answer:

25 customers

Step-by-step explanation:

Step one:

given data

we are told that the total customers are 250 in number

and that 10% of customers made additional purchase.

Step two:

what we intend to find is the number that 10% represent in 250

this is shown as

=10/100*250

=0.1*250

=25

The number of customers that made an additional purchase is 25

Answer:

25

Step-by-step explanation:

Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?

Answers

Answer:

$6.18 per hour

Step-by-step explanation:

3% of 6 is 0.18

You can get this number by multiplying 0.03 by 6

Add 0.18 to 6 and that gives Jack $6.18

is (3,2) a solution to 3x + 2y =13​

Answers

Answer: yes

Step-by-step explanation:

(3*3) + (2*2) = 9+4 = 13 which is what the other side of the equation states so it is a solution

Answer:

Yes

Step-by-step explanation:

Plug the 3 into the x and plug the 2 into the y from (3,2)

So you get, 3(3) + 2(2)=13

9+4=13

2.
Which of these expressions is equivalent to -2(x - 5)?
A.
-2x – 5
B.
- 2x + 5
C.
-2x + 10
-2x – 10
D.

Answers

Answer:

C.

Step-by-step explanation:

Evalute -2(x-5)

-2x+10

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

= -2x +10 { multiplying equation by -2}

Note:

(-)×(-) = (+)

(+) × (+) = (+)

(-) × (+) = (-)

(+) × (-) = (-)

have fun with the points just spam bruh tho ​

Answers

apple bottom jeans boots with tha furrr

Answer:

thanks have a great day

Step-by-step explanation:

Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.

Answers

Answer:

Leslie is NOT correct

Step-by-step explanation:

Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C

I hope this helps!

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SAS
B.) AA
C.) SSS
D.) Not enough information given

Answers

The answer would be C which is SSS

pleaseee helppp



unit test due in 30 minss!!!

Answers

Answer:

Fraction: 81/100

Decimal: 0.81

Percent: 81%

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities:

y ≥ −3x + 1

y ≤ 1/2 x + 3

Answers

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y = \frac{1}{3}x - 5[/tex]

Step-by-step explanation:

Given

[tex]slope\ (m) = \frac{1}{3}[/tex]

[tex]y\ intercept = -5[/tex]

Required

Determine the line equation in slope intercept

The equation of a line in slope intercept is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope = \frac{1}{3}[/tex]

[tex]b = y\ intercept = -5[/tex]

So, [tex]y = mx + b[/tex] becomes

[tex]y = \frac{1}{3}x - 5[/tex]

Adventureland plans on updating the Arcade with some new and improved games.
They plan on purchasing a new Air hockey table for $875.23, a pinball machine for
$622.19, and two arcade racing games for $942.49 each. What is the total cost for the
new games including an 8.75% sales tax? I will give brainiest

Answers

Answer: $3678.36

Step-by-step explanation:

New airball hockey table = $875.23

pinball machine = $622.19

2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98

Total amount without sales tax will be:

= $875.23 + $622.19 + $1884.98

= $3382.4

Sales tax = 8.75% × $3382.4

= 0.0875 × $3382.4

= $295.96

Total cost = $3382.40 + $295.96

= $3678.36

At a farming supply store 7 pounds of seed cost $153.37. If a farmer needed 4 pounds of seeds, how much would it cost him?​

Answers

$153.37 x 4 = $613.48
$613.48 / 7 = $87.64
i believe $87.64 is your answer

Hellpp ⚠️⚠️
What is the square root of -16?
A -8i
B -4i
C 4i
D8i

Answers

Answer:

4i

Step-by-step explanation:

c or b i hope i helped you  have a good day

2 part question!
122.53 rounded to the nearest whole number.
18.59 rounded to the nearest whole number.

Answers

Answer:

1.) 123  2.) 19

Step-by-step explanation:

Both of these numbers would round up since 5+ makes the number before itself add 1.

ROUNDING

=================================================================

There are two rules for rounding:

1. If the number you're rounding is followed by a digit from 0 to 4 drop it

2. If it's followed by a digit from 5 to 9 add 1

Let's see them in action!

1: 122.53 ==> 122.5 ==>123

2: 18.59 ==> 18.6 ==> 19

Learn more;work harder

#Carryonlearning

==============================================================

an equation of the line with a slope of 2/3 and y-intercept of −8.

Answers

Answer:

y = 2/3x - 8

Step-by-step explanation:

Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept

Plug in the slope and y intercept:

y = mx + b

y = 2/3x - 8

So, y = 2/3x - 8 is the equation of the line.

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