Write a linear function f with f(4)=−3 and f(0)=−2.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

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

b=y-intercept=-2,

so f(x)=-1/4x-2

Answer 2

A linear function f with f(4)=−3 and f(0)=−2 is

[tex]f(x)=-\frac{1}{4}x-2[/tex]

Given :

a linear function f with f(4)=−3 and f(0)=−2.

f(0)=-2. It means y intercept is -2

Linear equation of a line is given by y=mx+b

where m is the slope and b is the y intercept

y intercept b is -2

Lets find out slope m . Lets use f(4)=-3  that is when x=4 the value of y is -3

[tex]y=mx+b\\y=mx-2\\x=4, y=-3\\-3=m(4)-2\\-3+2=4m\\-1=4m\\m=-\frac{1}{4}[/tex]

Now we replace in the equation of line y=mx+b

[tex]y=mx+b\\y=-\frac{1}{4}x-2[/tex]

Replace y with f(x) to get linear function

[tex]f(x)=-\frac{1}{4}x-2[/tex]

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Related Questions

Which point lies on the circle that has a center at (-2,3) and a radius of 4

Answers

Answer:

(-6,3) is one of infinitely many answers.

Step-by-step explanation:

The radius of the circle is 4, so any point that is 4 units away from the point (-2,3) would be considered a correct answer.

working alone, kali can pick forty bushels of apples in 15 hours,l. One day her friend Natalie helped her and it only took 6 hours. How long would it take Natalie to do it alone.​

(please help I'm struggling)

Answers

Answer:

The time it will take Natalie to pick the forty bushels alone is 10 hours

Step-by-step explanation:

The time it takes Kali to pick forty bushels of apples alone = 15 hours

The time it takes Kali and Natalie to pick forty bushels = 6 hours

The rate at which Kali picks bushels = 40/15 bushels per hour  = 8/3 bushels per hour  

Let x represents the rate at which Natalie picks bushels, we have;

8/3 × 6 + x × 6 = 40

x × 6 = 40 - 8/3 × 6 = 24

x = 24/6 = 4

Therefore;

The rate at which Natalie picks the bushels of apples = 4 bushels/hour

The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.

If a child weighs 83 pounds, how many ounces does she weigh? 664 oz. 664 oz. 830 oz. 830 oz. 966 oz. 966 oz. 1328 oz.

Answers

Answer:

The answer is 1,328

Step-by-step explanation:

The number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

What is conversion?

Conversion means converting the same thing into different units.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

If a child weighs 83 pounds. We know that in one pound, there are 16 ounces.

Then the number of ounces that she weighs will be

⇒ 83 x 16

⇒ 1328 ounces

Then the number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

More about the conversion link is given below.

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A well respected wild life researcher recently conducted a
study of wild Jackalopes. He trapped and weighed 60 adult
wild Jackalopes in an attempt to gauge their health. As a
population, if a species loses weight it could be a signal
that the health of the population is in danger. Research conducted 10 years prior found that the population mean was 69.9 pounds. Test the claim that population mean of wild Jackalopes is equal to 69.9 lbs. Use a significance level of .01.

Claim: ______________
Null Hypothesis: ________
Alternative Hypothesis: ___________________________
Test Statistic: (state the statistic and find it’s value):
Find the pvalue for the given test statistic:
At the 0.01 significance level would you reject the null or fail to reject the null? Justify your answer.
What final conclusion could you draw from your research?

Answers

Answer:

Claim : men weigh of wild jackalopes is 69.9

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Test statistic = −2.447085

P value = 0.0174

Conclusion :

Fail to Reject the Null hypothesis

Step-by-step explanation:

From the question given :

The claim is that : mean weight of wild jackalopes is still the same as 10 years with a mean weight of 69.9 lbs.

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Using calculator :

Sample mean (x) = 66

Sample standard deviation (s) = 12.345

The test statistic t :

(x - μ) / (s/√n)

n = sample size = 60

(66 - 69.9) / (12.345 / √60)

t = −2.447085

P value at α 0.01, df = 59 is 0.0174

Since the p value is > 0.01, the result is not significant at 0.01. Therefore, we fail to reject the Null

What is the result of 96 divided by 6 ?use the model to find the anwser.

8
12
16
32

Answers

Answer:

96/6= 16
Hope this helps ! Mark as brainliest✅

Answer:

96/6= 16

hope this helped hope u have an amazing day goodbye

2. Zach is filling up his pool. The water hose filled the 328 gallom pool in 41 minutes. At what rate did the hose fill the pool in gallons per minute?​

Answers

Answer: 8 gallons

Step-by-step explanation:

Hey kk

An architect built a scale model of a shopping mall. On the model, a circular fountain is 21 inches tall and 17.5 inches in diameter. If the actual fountain is to be 6 feet tall, what will its diameter be?

Answers

Answer:

The diameter is 5ft

Step-by-step explanation:

Given

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Required

Determine the diameter when the height is 6ft

Recall that the scale is a ratio of height to diameter;

So 6ft height can be represented on the following scale model;

[tex]Height : Diameter = 6ft : x[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{6}{x}[/tex] ---- (1)

Recall that:

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{21 }{17.5}[/tex] ---- (2)

Equate (1) & (2)

[tex]\frac{6}{x}= \frac{21 }{17.5}[/tex]

Cross Multiply

[tex]21 * x = 6 * 17.5[/tex]

[tex]21x = 105[/tex]

[tex]x = 105/21[/tex]

[tex]x = 5[/tex]

Hence, the diameter is 5ft





DUE IN 20 PLS HELP!!!!






2+2 lmmmaaoooooo

Answers

Answer:

444444444444444

Step-by-step explanation:

PLEASE IF YOU ACCTUALY AWNSER BOTH I WILL MARK BRIANLYEST

Answers

Answer:

the first one is 1/2 of an answer is zero answer. and the second one is x = a number and y = a number

Step-by-step explanation:

i hope this helps

HELP 50 POINTS IF RIGHT!​

Answers

Answer:

we can see how many points it actually it is

Answer:

ahhh

Step-by-step explanation:

Find the values of x, y, and z ​

Answers

add all your numbers up and subtract from 180

Answer:

Values: x =54, y= 126, z = 35

Jennifer is 20 miles north of her house, and she is driving north on the highway at a rate of 55 miles per hour. How far has she driven after 2 hours?

Answers

Answer:

130 miles

Step-by-step explanation:

(55 x 2) + 20 = x Miles

110 + 20 = x miles

130 miles

Find the length of segment AC.
Find the length of segment BC.
What is the scale factor from DEF to ABC?

Answers

Answer:

Heyy there sorry but your question does not have an image. I think something is missing.

Step-by-step explanation:

A rocket being launched has three engines that are independent of each other. The probability of an engine firing is 0.97. What is the probability of at least one engine not firing? PLEASE HELP

Answers

Answer:

.0873

Step-by-step explanation:

Review Pythagorean Theorem
Use the drawing tool to write the Pythagorean theorem
equation

Answers

the pythagorean theorem equation is a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
so a^2+b^2=c^2

Answer:

The Pythagorean theorem is widely used in everyday life. one of them in the carpentry sector. the craftsman ensures that the corners of the building foundation really right angled by using a triangle with a combination of side sizes 60 cm, 80 cm, and 100 cm.

Step-by-step explanation:

How to do the Pythagorean Theorem

KNOW: the height of the triangle is 5 cm and the slope of the triangle is 13

searching for: base of triangle , X

Answer:

X² = a² - b²

X² = 13² - 5²

X² = 169 - 25

X = 144

X. =√144

X =12

that's how to find the result of the Pythagorean Theorem

I hope this helps

Need help ASAP!! Please!! Will mark brainliest

Answers

Answer:

D. 37.68

Step-by-step explanation:

Circumference of a circle is 2 x pi x radius

your radius is 6 bc its half of your diameter is 12

when you multify them together, it gives you ab 37.68

Find the slope of the line that passes through each pair of points

Answers

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

[tex] \frac{rise}{run} \: or \: \frac{y}{x} [/tex]

We can insert what we found and then solve for the equation

[tex] \frac{4}{2} [/tex]

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

Can someone please answer this?

What is the slope of a line that passes through points (1,5) and (3,1)?

Answers

Answer:

Slope = -2

Step-by-step explanation:

(x₁, y₁) = (1 , 5) and (x₂ , y₂) = (3 , 1)

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

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

Need someone to help my on my homework will do ANYTHING please help but pls have an app to text so we can work on it it is mathematics.

Answers

Answer:

i willl maybe help but

Step-by-step explanation:

Describe the process as civilizations in Africa changed from Hunter and Gatherer communities to civilizations.

What single percentage change is equivalent to a 8% decrease followed by a 15% decrease

Answers

Answer:

Calculate Percentage Decrease:

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Step-by-step explanation:

The percentage change is equivalent to a 8% decrease followed by a 15% decrease is 78.2%.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to find percentage change is equivalent to a 8% decrease followed by a 15% decrease.

So, (1- 8%)(1- 15%)

= (1- 8/100)(1-15/100)

= (1-0.8)(1-0.15)

= 0.92 x 0.85

= 0.782

Now, converting to percentage

= 0.782 x 100/100

= 78.2 /100

= 78.2%

Learn more about percentage here:

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the lenth of a quarter is 0.955 inch round the length of a quarter to the nearest tenth of an inch.

Answers

Answer: 1 inch

Step-by-step explanation: when you round to the tenth place, you look at the number to the right of the decimal. Because it is .95, you round up. If it was .94 or under, you would round down. .95 rounded up would make 10 in the tenths place, so we add our decimal to get 1.0, or 1 inch

Please help! I’ll give brainliest

Describe in words the meaning of each math expression.

f(-7) = 12

Answers

Answer:

Step 1: Simplify both sides of the equation.

−7f=12

Step 2: Divide both sides by -7.

−7f

−7

=

12

−7

f=

−12

7

Step-by-step explanation

sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(

Circumference of circle T is 4 times the circumference of circle S

Answers

Answer:

Circumference of S = T/4

I didn't quite catch your question though, could you elaborate a bit more?

A publisher needs to send a money box to a local bike retailer and will send bucks and a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books.  A total of 10 boxes were sent which can hold 375 books altogether. 

Answers

Answer: ok

Step-by-step explanation:

Ok

what's 380 divided by 40

Answers

The answer is 9.5
Hope it helps :-)

I need help ASAP please it’s important

Answers

Answer: B.

Step-by-step explanation: If you simplify the equation you get 0 = 0, which is not a valid solution.

Ella made a checker board. Each individual square has a side with a length of x + 3. Find the area of the ENTIRE board in terms of x if each side of the board is made up of 6 congruent squares.

Answers

Answer:

Total area of board = 36x² + 324 + 216x

Step-by-step explanation:

Given:

Side of square = x + 3

Total number of square = 6 x 6 = 36

Area of each square = Side x Side

Area of each square = (x + 3)²

Area of each square = x² + 9 + 6x

Total area of board = 36[Area of each square]

Total area of board = 36[x² + 9 + 6x]

Total area of board = 36x² + 324 + 216x

x/10.24=4 tell me what is the answer?

Answers

Answer:

40.96

Step-by-step explanation:

x/10.24=4

times 10.24 on both sides

10.24 times 4

x=40.96

Solve the proportion x/21 = 1/3

Answers

Answer:

21 (Verified Answer) ✅

Step-by-step explanation:

A proportion is solved by cross multiplying.

3x = 21

x = 7

Now, let's check it

3(7) = 21 x 1

21 = 21 ✅

Answer:

x=7

Step-by-step explanation:

CROSS MULTIPLY

x/21=1/3

3*x=3x

21*1=21

3x=21

x=7

I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please

Answers

Answer:

1/4^2 (The first one)

Step-by-step explanation:

It’s A 1/4^2. 4^6 x 4^-8 is 0.0625, or 1/16. which is equivalent to 1/4^2
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