There is a line that includes the point (3, 3) and has a slope of 4. What is its equation in
slope-intercept form?

Answers

Answer 1

Answer:

         y = 4x - 9  

Step-by-step explanation:

The equation in point-slope form with slpope of m and including point (x₁,y₁) is:

y - y₁ = m(x - x₁)

m = 4

(3, 3)  ⇒  x₁ = 3,  y₁ = 3

So:

y - 3 = 4(x - 3)     ←   the point-slope form

y - 3 = 4x - 12         {add 3 to both sides}

y = 4x - 9           ←  the slope-intercept form


Related Questions

number 5 units to the left of -4 on a number line. What number did I graph?

Answers

Answer:

The number 5 units to the left of -4 is;

[tex] - 9[/tex]

Step-by-step explanation:

We want to number 5 units to the left of -4 on a number line.

Drawing the number line we have;

Therefore, The number 5 units to the left of -4 is;

[tex] - 9[/tex]

Solve the compound inequality. 6 – x > 15 or 2x – 9 ≥ 3 A. x > 9 or x ≤ 6 B. x < 9 or x ≥ –6 C. x > –9 or x ≤ –6 D. x < –9 or x ≥ 6

Answers

Answer:

Step-by-step explanation:

Solve the compound inequality. 6 – x > 15 or 2x – 9 ≥ 3 A. x > 9 or x ≤ 6 B. x < 9 or x ≥ –6 C. x > –9 or x ≤ –6 D. x < –9 or x ≥ 6

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?

Answers

Answer:

$80

Step-by-step explanation:

10x + 30 = y

He wants to rent it for 5 hours, so we replace x with 5.

10(5) + 30 = 80

He should expect to pay $80 for the rental.

What is the answer??

Answers

Answer:

the answer would be the second one

Step-by-step explanation:

a congruency symbol consists of a = and a ~

Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4

Answers

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

what is the y intercept of the linear function graphed here​

Answers

The y-intercept is (0,-1)

Answer:

0,-1

Step-by-step explanation:

2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j

Answers

I think it would be F

Which function has a greater speed, and what is the greater speed?

Answers

Answer:

B. function 13 meters per second

Step-by-step explanation:

Answer:

B) Function A; 14 mps

Step-by-step explanation:

Function B has a speed of 13/s

If you look at Function A and divide the right column by the corresponding values in the left column, you get 14 every time. That is the rate of Function A.

14>13.. so Function A is faster

How many solutions does this equation have?

–1 + 11 − h = –20 + 9h

Answers

1 solution, that solution is 3.

#8 A boogie board that has a regular price of $70 is on sale at a 35% discount. Find the selling price.

Answers

245. So you do 7x35.

Answer:

45.5

Step-by-step explanation:

To find 35% of 70, you have to use the equation...

70 x 35/100

70 x 35 = 2,450

2,450/100 = 24.5

24.5 is 35% of 70, so the item is now $24.5 less than the original price.

70 - 24.5 = 45.5

The selling price is $45.5

ALGEBRA 1:
FIND THE PRODUCT OF THE FOLLOWING:
(2x+6)(2x-6)
please somebody help me, if you’re correct i’ll give you an extra 50 points for helping. please do not use my question for points as i am failing and truly need help i’m so stressed lol.

Answers

distribution method
(2x+6)(2x-6)
=4x^2-12x+12x-36
=4x^2-36
the answer is

: 4x^2-36

I AM IN ALGEBRA 1 , I HAVE A 104% !! I CAN HELP YOU !!!

The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures

Answers

Answer: [tex]25^{\circ}[/tex]

Step-by-step explanation:

Given

The highest temperature recorded is [tex]18^{\circ}[/tex]

The lowest temperature recorded is [tex]-7^{\circ}[/tex]

The amount of change between the high and the low temperatures is

[tex]\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}[/tex]

PLEASE HELP ME!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8=?

Answers

Answer:

a/8 = b/15

Step-by-step explanation:

a/b = 8/15  -- divide both side by 8 and multiple both side by b

a/8 = b/15

The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?

Answers

Answer:

9 cm

Step-by-step explanation:

Given :

Area, A = 36cm²

Height, h = 8cm

Using the relation :

Area, A of triangle :

A = 1/2 * base * height

36 = 0.5 * base * 8

36 = 4 * base

base = 36 / 4

Base = 9 cm

Length of base is 9cm

What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63

Answers

Answer:

y = 31

Step-by-step explanation:

Given

y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2

y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31

streets A and B run parallel to each other. The measure of angle 6 is 155 degrees. What is the measure of angle 7?

Answers

Answer:

m<7 = 155

Step-by-step explanation:

<6 = <7 due to vertical angle thm

Use the information given to enter an equation in standard form. (−1, 1) and (0, 6) are on the line.

Answers

Answer: -5x+y=6

Step-by-step explanation:

Given

Points on line [tex](-1,1)\ \text{and}\ (0,6)[/tex]

The standard form of an equation is [tex]ax+by=c[/tex]

Using the two-point form of a line

[tex]\Rightarrow \dfrac{y-1}{x+1}=\dfrac{6-1}{0+1}\\\Rightarrow \dfrac{y-1}{x+1}=\dfrac{5}{1}\\\Rightarrow y-1=5x+5\\\Rightarrow y-5x=6\\\Rightarrow -5x+y=6[/tex]

A pyramid with an equilateral-triangle base has a volume of 48sqrt{3} cm3 and a height of 16 cm. Find the length of each side of the equilateral triangle.
You get brainliest, i need answers fast.

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Which table shows a function with the same rate of change as the equation y = –30x + 200?

a)
x y
12 100
13 70
14 40
b)
x y
20 200
21 400
22 600
c)
x y
39 239
40 240
41 241
d)
x y
17 20
18 23
19 26

Answers

Answer:

x y

12 100

13 70

14 40

Step-by-step explanation:

A Circular pool has diameter of 24 feet what's the area of the cover - 452.16 square feet - 75.36 square feet - 150.72 square feet - 1,808.64 square feet

Answers

Answer: 452.16 square feet

Step-by-step explanation:

The formula that is used to calculate the area of a circle is given as:

= πr²

where π = 3.14

r = Diameter/2 = 24/2 = 12

Area = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 feet²

Therefore, the answer is 452.16 square feet.

Bernie can eat 20 oreos in 5 minutes. If Joe can eat oreos at 3/4
of Bernie’s pace, how many oreos can they eat together in half an hour?

a.200
b. 210
c. 220
d. 230

Answers

Answer:

b

Step-by-step explanation:

Does 5/8 and 12/20 form a proportion

Answers

no it doesn’t form a proportion

find the value of given expression

[tex] \sqrt{4} \times (2)[/tex]

Answers

Step-by-step explanation:

Given

[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

[tex]\sqrt{4}\times2[/tex]

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

[tex]\sqrt{2^3}[/tex]

Step 4.

Apply the exponent rule. [tex](a^b^+^c=a^b\times a^c)[/tex]

2³ = 2² × 2

[tex]\sqrt{2^2\times2}[/tex]

Step 5.

Apply the radical rule. [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0[/tex]

[tex]\sqrt{2^2}\sqrt{2}[/tex]

Step 6.

Apply the radical rule again. [tex]\sqrt{a^2}=a, a\geq 0[/tex]

[tex]2\sqrt{2}=4[/tex]

Hence, 4 is the answer.

What is the IQR for the following set of data
17, 11, 12, 18, 12, 16, 15, 14, 13

Answers

Answer:

First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18

The  interqurtile range is q3 - q1

Q3 is 16.5 and the q1 is 12

16.5 - 12 = 4.5

Step-by-step explanation:

Answer is 4.5

Interquartile range (IQR) :

The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).

=>  IQR = Q3 – Q1

Here,

First Arrange the data in ascending order.

11, 12, 12, 13, 14, 15, 16, 17, 18

Median = 14.

Q1 = 12 and Q3 = 16.5

IQR = Q3 - Q1 => 16.5 - 12 = 4.5

Answer is 4.5

Learn more about Interquartile range here:

https://brainly.com/question/16311086?referrer=searchResults

#SPJ2

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth

Answers

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

Since Tammi exercises a lot, she was told that she needs to drink at least 3 quarts of water every day. How many cups of water is this?
16 cups
8 cups
4 cups
12 cups

Answers

3 quarts of water is 12 cups.

Answer:

3 quarts of water is 12 cups.

Step-by-step explanation:

1 quarts is 4 cups

WILL GIVE BRAINLIEST

Answers

Option D is the logical and the right answer

Answer:

The answer is D

La propiedad del producto cero indica que si la multiplicación de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o más de los factores es cero.

Answers

Can u put that in English please?

Which distribution is symmetrical (bell shaped)?
A)
B)
L
1
o
D)

Answers

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Can anyone help me with this problem?

Answers

First find slope
(Y2-y1)/(x2-x1)
(-3-(-1))/(-6-9) = -2/-15 = 2/15
Point slope: y-y1 = m(x-x1)
Solution: y + 1 = 2/15(x - 9)
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