write the slope intercept ​

Write The Slope Intercept

Answers

Answer 1

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

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

We can substitute the points we know:

→ (0,4):

[tex]y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}[/tex]

→ (-3,0):

[tex]y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}[/tex]

So, the line equation in form requested is:

[tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]


Related Questions

Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)

Answers

Answer:

Option (C)  [0.2574 , 0.2626]

Step-by-step explanation:

Of 250 convicts, there are 65 cases of recidivism.

- Construct a 99% confidence interval for the proportion of cases of recidivism.

This calls for first finding the proportion of cases of recidivism. This will be 65/250  = 0.26

You are 100% confident that the proportion of cases of recidivism is 0.26

You will be 99% confident that the recidivism cases are between:

99% of 0.26  = 0.2574

1% of 0.26  = 0.0026

[0.26 - 0.0026] , [0.26 + 0.0026]  = [0.2574 , 0.2626]

This should be OPTION C, as that option is missing in the list of options.

How many pounds of grapes can I buy for $1.00?

Answers

2.09

Here you go! Hope it helps!

The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?

Answers

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵

Answers

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

Need help will mark Brainliest

Answers

Answer:

40

Step-by-step explanation:

You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.

Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.

40 + 3x + 4 + 8x + 4 = 180

You would now add like terms.

11x + 48 = 180

You would now subtract 48 from both sides.

11x = 132

You would now divide both sides by 11.

x = 12

You would now plug x into m<RST, 3x + 4.

3(12) + 4 = m<RST

36 + 4 = m<RST

40 = m<RST

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

helppppp please I will give brainliest​

Answers

Answer:

y=1/3x-2

Step-by-step explanation:

Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided

Answers

Answer:

It's B trust

Step-by-step explanation:

The required balance at the beginning of April is $796.87. Option C is correct.

What is interest?

Simple interest is defined as the percentage of earnings on the lending for a period of time

To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.

Let's call Ruth's balance at the beginning of May "B".

We know that during the April billing cycle:

She made a $45.17 payment on April 10th

She made a $88.34 purchase on April 17th

The APR is 10.91%

So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)

Solving for B, we get:

B = $796.87

So, the answer is C. $796.87.

Learn more about your interest here:
https://brainly.com/question/20406888

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I have $100 and I want to buy tshirt that cost $10 and sweatshirts that cost $20 how many tshirts and sweatshirts can I buy

Answers

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

help please!!!!! (QUESTION #3)!!!!!!!

Answers

I’m not sure I’m just guessing but maybe 7x minus 35

please solve this i will give you brainliest​

Answers

Answer:

1

Step-by-step explanation:

gvgbkhbgvbhjbjhbjhbhjnnj

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

please help me for a question ​

Answers

What question do you need help with

Answer:

there is no question??

If the variables cancel on each side, and the given equation is TRUE, for example 3=3, then the equation has NO SOLUTION. TRUE OR FALSE

Answers

Answer: False

Reasoning: An equation that is true has an infinite amount of solutions.

I NEED HELP! Please.

Answers

Answer:

z = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

4z - 4 = 3z + 8

z = 12

What is an equation of the line that passes through the points (4,1) and (8,-3)?

PLZZ HELPP MEE!!

Answers

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

  so (-3-1)/(8-4)

  -4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so    1=-1(4)+b

        1=-4+b

        1+4=b

so b= 5

therefore the equation is  y=-x+5   so d

Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every six months. How long will it take Jack to have $100,000 in his account?

Answers

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.

Answers

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

[tex]A_1=13[/tex]

Since, recursive formula formula of a sequence is given by the formula,

[tex]A_n=A_{(n-1)}+d[/tex]

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

[tex]A_n=A{(n-1)}+25[/tex]

Since, explicit formula for the arithmetic sequence is represented by the formula,

[tex]A_n=A_1+(n-1)d[/tex]

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

[tex]A_n=13+(n-1)25[/tex]

[tex]A_{10}=13+(10-1)25[/tex]

      = 13 + 225

      = 238

[tex]A_{8}=13+(8-1)25[/tex]

     = 188

[tex]A_{12}=13+(12-1)25[/tex]

      = 288

Therefore, Option (3) and Option (5) will be the answer.

In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?

Answers

i believe the answer is 4

pls help and explain if u can

Answers

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

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

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

HOPEFULLY MY LAST ONE!!!!

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

1/3

Step-by-step explanation:

Rise/run

10/30

I hope this is right and that it helps.

Use these points to find out the slope: (10,60) , (40,70)
Slope: 1/3

Please help due in 5 min

Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?

A. 24%
B. 30%
C. 44%
D. 60%

PLEASE show work

Answers

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time

Answers

Since 2 is not in a line
Answer=2

Answer:

thanks

Step-by-step explanation:

what is the answer to the question expression 42+3.5h factored

Answers

Answer:

7/2(12+h)

Step-by-step explanation:

The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

Here, we have,

given that,

the expression 42+3.5h

we have to find the factored form.

From the given information:

The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5

So factoring 3.5 from the expression  42 + 3.5h, we get:

= 3.5 ( 12 + h)

= 7/2 ( 12 + h)

Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

To learn more on Expression click:

brainly.com/question/14083225

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the ratio 60 miles per hour is an example of a because it has two measurements having different units of measure

Answers

Answer:

180

Step-by-step explanation:

Answer: ejejejwjfmfmdnc

Step-by-step explanation:

A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?

Answers

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi

Answers

Answer: B) x=-pi/2 , x=pi/2

Step-by-step explanation:

Just did it!

Answer:

B

Step-by-step explanation:

Edge 2020

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

find the missing side lengths. leave ur answers as radicals

Answers

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

Which of the following could represent the unit side lengths of a right triangle

A 5,8,10

B 3,5,7

C 6,11,13

D 12,16,20

Answers

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

[tex]a^2+b^2=c^2[/tex]

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20

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