the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer 1

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:


Related Questions

Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.

A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

Which is the correct interpretation of the standard deviation?

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.

Answers

Answer:

C

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

The correct interpretation of the standard deviation of the discrete distribution is:

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.

In this problem, the distribution is:

[tex]P(X = 0) = 0.02[/tex]

[tex]P(X = 1) = 0.03[/tex]

[tex]P(X = 2) = 0.07[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.30[/tex]

[tex]P(X = 5) = 0.28[/tex]

[tex]P(X = 6) = 0.18[/tex]

Hence, the mean is:

[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]

Then, the standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]

Hence, the correct option is:

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

As the measure is the number of eggs, not the mean number of eggs.

You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607

What is the function that is represented by the graph shown:

Answers

Answer:

I believe its the second one

4(46 + 3) + 2b = 3 (6 - 11)

Answers

Answer:

[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]

George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?

Answers

Answer:

Company A has a greater daily rate

Step-by-step explanation:

Given

Company A

[tex]Base\ Charges=\$50[/tex]

[tex]Daily\ Rate = \$150[/tex]

Company B

[tex]f(x) = 50(2x +1)[/tex]

Required

Determine the company with greater rate

Simplify the expression of company B

[tex]f(x) = 50(2x +1)[/tex]

[tex]f(x) = 50 * 2x + 50 * 1[/tex]

[tex]f(x) = 100x + 50[/tex]

In a linear function:

[tex]f(x) = mx + b[/tex]

m represents the rates.

This implies that the rate of company B is:

[tex]Rate =100[/tex]

and the rate of company A is

[tex]Daily\ Rate = \$150[/tex]

By comparison:

Company A has a greater daily rate

HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:

match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.

Answers

Answer: ↓↓↓

Step-by-step explanation:

Slope intercept formula: y = mx + b

Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5

Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5

Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4

1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2

Answers

Answer:

1

Step-by-step explanation:

Hello will you help me with this?

Answers

Answer:

A. 432=18x

B. 22-see explanation

C. 24

D. See if your rounded answer and the actual answer are close.

Step-by-step explanation:

A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.

B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.

C. Divide 432 by 18. We get 24.

E. You can see if it is reasonable if they are close in value.

Help me please
Ayudame por favor

Answers

I help u hola im here to help you

Express the number 3.785 x 10^-6 in decimal form. Answer:​

Answers

3.785 x 10^-6
0.000003785

Answer:
0.000003785

8/9+4/7



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

Answers

Answer:

1.46 or 1 ²³/₅₀

Step-by-step explanation:

Just plug it into a calculator!!

Brainliest Please??

how much longer is a 1 -inch button than a 3/8 -inch button

Answers

Answer:

5/8

Step-by-step explanation:

i took the quiz

Sarah brought a box of salt water taffy with 25 vanilla and 25 strawberry flavored pieces . What is the number of the possible outcome if she picks out 2 pieces of taffy

Answers

Answer:

The answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. А. 28 1. What part of the story does represent? x + 1 x + 1 x + 1 x + 1 B 28 2. Would eating an apple be represented by subtraction or addition? 1 X X C С 1 3. Which diagram best represents the story? 4. What is the value of x? X-1 x-1 x - 1 28​

Answers

Answer:

X-1 X-1 X-1 28

Step-by-step explanation:

Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?

Answers

Answer:

187.96 cm

Step-by-step explanation:

Given hat

Tyson is 6 feet and 2 inches tall

Also

There is 2.54 cm in 1 inch

Now the tyson height in the centimeter is

= 6.16666 × 30.48

= 187.96

Hence, the Tyson height in the centimeter is 187.96

Answer:

187.96

Step-by-step explanation:

(answer d)

Colleen is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Orlando was ​$250. Now the cost is ​$325. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

The tickets price will be 126

Answer:

Step-by-step explanation:

It will be 129

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 14 inches. What is the width of the frame?

Answers

Answer:

15

Step-by-step explanation:

14+14=28

58-28=30

30/2=15

Answer:

Step-by-step explanation:

the perimeter of the rectangle is in this case

P=2h+2w

58=2(14)+2w

58=28+2w

58-28=2w

30=2w

w=30/2=15

5x + 4y=-14
3x + 6y = 6

Answers

X=-6 y=4 hope this helped

24(4p – 3) – 8(4p + 2) youll get brainliest

Answers

64p-88 that that the answer

Are the ratios 1:5 and 4:20 equivalent?

Answers

Answer:

yes they are

Step-by-step explanation:

4:20 can be simplified till 1:5

Answer:

Yes

Step-by-step explanation:

If you simplify 4:20 by dividing both sides by 4, you'll end up with 1:5, meaning they are equivalent.

Which method of taking notes includes a summary at the end?

charting
outlining
mapping
Cornell

Answers

Answer:

I would say c sorry if its wrong

Given \qquad \overline{PQ}\perp\overline{PS} PQ ​ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:

Answers

Answer: 40 degrees

Step-by-step explanation:

did this on khan! :)

Stephanie bought 5 bananas for 1.25. How much would 13 bananas cost? please answer as soon as possible

Answers

13 bananas would cost 3.25

Answer:

$3.25

Step-by-step explanation:

$1.25/5=$0.25 per banana

0.25x13=$3.25 for all 13 bananas

Describe and correct the error in using properties of parallelograms.

Answers

Answer/Step-by-step explanation:

Opposite angles of a parallelogram are equal to each other.

Therefore, <S = <U, and <T = <V

Consecutive angles of a parallelogram are supplementary.

Therefore,

m<S + m<V = 180°

50° + m<V = 180°

m<V = 180° - 50° (subtraction property of equality)

m<V = 130°

help me plsss!!!!!!!!

Answers

Answer:

the answer is b

hope that helps

the price of a pair of sneakers increases from $52 to $64. what is the percent increase. round to the nearest percent. show all work

Answers

Answer: Step 1: Calculate the change by subtracting old cost ($52) from the new cost ($64)

Step 2: Divide that change by the old cost ($52).  You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

It's not the answer but it help to answer the question:)

Step-by-step explanation:

2(a + b)=
Helppp meee pleaseeeeee

Answers

Answer:

ITS C

Step-by-step explanation:

MULTIPLIED BY THE NUMBER TO THE LEFT LOL

10 = k + 3 + 6k
How do I solve this equation?

Answers

Answer:

k = 1

Step-by-step explanation:

[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]

Hope this helps.

Answer:

K=1

Step-by-step explanation:

So first you would add the K's together.(6k+k=7k)

10=7k+3

Then you would subtract 3 from 3 and 10

7=7k

Divide 7 on both sides

k=1

Hope that helps:)

6. 188 students went on a field trip. Five buses were filled and 18
students traveled in cars. How many students were in each bus?

Answers

Answer:

34

Step-by-step explanation:

188 - 18 = 170 divided by 5 equals 34

Answer:

34 students per bus

Step-by-step explanation:

188 - 18 = 170, The number 170 is the total amount of students who were on buses

170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus

1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP

Answers

Answer: Q1.=145, Q2.=20

Step-by-step explanation:

two supplementary angles equal 180

1. 180-35=145

2 . complementary angles , both add up to 90

90-70=20

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