What is the equation of the line that passes through the points (1, -3) and (3, 5)? Write the equation in standard form AND using function notation.

Answers

Answer 1

Answer:

y= 4x-7

Step-by-step explanation:

I could be wrong this is what I got so I apologize if this is incorrect


Related Questions

please help me if you can. please show how you got the answer.

Answers

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to

[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2500 grams

Answers

Answer:

750 is the answer..

Step-by-step explanation:

(12/40)*2500

Which word describes the slope of the line?

O Positive

O Negative

O Zero

O Undefined​

Answers

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

can someone please help me with this i dont have much time left

Answers

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Answer my question please!! i will give brainlest!

Answers

Answer:

hello u so cool i admire you <3

Answer :

The test has 8 questions that are worth 5 points and 30 questions that are worth 2 points.

PLEASE ANSWER DOWN BELOW FOR POINTS

Answers

Why all ya questions be ma hard like dammm

Select the correct answer.
What is the slope of the line represented by the equation f(x) = -3x + 7?
ОА.
-7
OB. 3
O C. 3
OD. 7

Answers

Answer:

The slope should be -3.

Step-by-step explanation:

:)

The slope should be -3.
The slope format is : y=mx+b
The m is always the slope place

Find the next item in the pattern.

0.3, 0.6, 0.9, 0.12, ...

Answers

The answer is 0.15. Because it’s increasing by 0.3
0.15 hope this helped

answer please? a girl needs help like right now:))

Answers

Answer:

No

Step-by-step explanation:

ACD should be one of them CAE

Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide  the line segment PQ in the ratio​

Answers

Answer:

3:4

Step-by-step explanation:

Given -

Length of line PQ = 8 cm

In order to get a line PQ’=3/4 of PQ, we first need to divide the line PQ into four equal parts and each of these parts would be of equal lengths i.e 8cm/4 = 2 cm

Now out of these 4 parts, three are to be taken to form line PQ'

So length of PQ' = 3*2 cm = 6 cm

Ration should be 6:8 = 3:4

NEED HELP ASAP AS SOON AS POSSIBLE, WILL GIVE 69 POINTS
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.

The city will also put a fence around the playground. The perimeter, P, of the fence includes the gates. To save money, the city wants the least perimeter of fencing for the area of 256 square yards.

Jovana was trying to find a formula for that perimeter with one side 8 yards longer than the other side using the area. In which step did she make a mistake?

Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
Step 7:
Explain her mistake. What is the correct formula?

Answers

Mark Brainliest please

Answer:



Explanation

Jovana needs to solve the equation x(x+8) = 256 for x

To do so, first distribute and get everything to one side

x*(x+8) = 256
x*x+x*8 = 256
x^2+8x = 256
x^2+8x-256 = 0

Now use the quadratic formula (a = 1, b = 8, c = -256)

x=−b±b2−4ac/√2a

x=−(8)±82−4(1)(−256)/√2(1)

x=−8±1088/√2

x≈−8±32.98485/2

x≈−8+32.98485/2 or x≈−8−32.98485/2

x≈24.98485/2 or x≈−40.98483/2

x≈12.49242 or x≈−20.49242

Another approach is to graph x^2+8x-256 and locate the roots as shown below
wwwdotdesmosdotcom/calculator/0miqroxamw
which leads to the same approximate solutions

Ignore the negative solution because a negative length or width makes no sense.

So the only practical x value is roughly 12.49242

If x = 12.49242, then
x+8 = 12.49242+8 = 20.49242

Therefore
Width = W = 12.49242
Length = L = 20.49242
which are approximate

The perimeter is approximately
P = 2*(L+W)
P = 2*(20.49242+12.49242)
P = 65.96968

Side Note:
A = L*W = 20.49242*12.49242 = 255.9999174564
which is fairly close to 256

What is the inverse fraction of f(x)=x/x-2

Answers

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

find the volume of the larger one pls

Answers

Answer:

284 u^3

Step-by-step explanation:

a b c d e f g h i j k l m n o p q r s t u v w x y z

can i get the answer for this question would be verrryy much appreciated:)​

Answers

Answer

The answer is EH= 50

Write an equation in the standard form of the line that passes
through (7, -3) and has a y-intercept of 2.

Answers

i got 5x+7y=14 from some help

Answer:

[tex]5x + 7y = 14[/tex]

Step-by-step explanation:

1: Formulate equations/expressions:

[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]

2: Write the equations:

[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]

3: Substitute:

[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]

4: Solve the equation:

[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]

5: Substitute:

[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]

6: Rewrite the equations:

[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]

HELP PLEASEE
Find the approximate values of the five-number summary for the data set represented by this box plot.

Answers

Answer:

i dont know i need points im so sorry, i honestly hope you have the best life possible im sorry for this have a great day

Step-by-step explanation:

Matrix Question please help

Answers

THE ONE THAT YOU HAVE DONE IS CORRECT.

ALL DIAGONAL MATRICES ARE SQUARE MATRIX....

HOPE THIS HELPS YOU.......

Two complementary angles have measures 4x and x + 50. Find x.

Answers

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

The picture is above I’ll mark as brainliest.

Answers

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

32 ÷ 8 = 4 :D

4x8 = 32

32 divided by 4 is 8. 8 is your answer.

Please help
For my finals I need help within 2 hours I’ll you give extra points also !

You are working 32 hours a week and earning $17.00 per hour.
1. Calculate how much you will make in a week.
2. Calculate how much you will make in a month. Use 4.33 for the number of weeks in a
month.

3. Calculate how much you will make in a year. There are 52 weeks in a year.



Numbers 4 , 5 and 6 is on the pictures

Answers

Answer:

1: 544

2: 2,355.52

3:28, 288

Which of the following are equivalent to

a^2•a^10

Select all that apply

A) a^8•a^4
B) a^4•a^5
C) a^12
D) a^7•a^5
E) a^20
F) a^2•a^6

Answers

a, c, d, f
hope this helps you :)
E.) it’s the right answer

HELP ASAP PLEASE I NEED ANS N SOLUTION
A bowl contains 25 chips numbered 1 to 25. If a chip is drawn randomly from the bowl, what is the probability that it is
a. 9 or 10?
b. even or divisible by 3?
c. divisible by 5 and divisible by 10?

Answers

Given:

A bowl contains 25 chips numbered 1 to 25.

A chip is drawn randomly from the bowl.

To find:

The probability that it is

a. 9 or 10?

b. even or divisible by 3?

c. divisible by 5 and divisible by 10?

Solution:

a. We have,

Number of total chips = 25

Favorable out comes are either 9 or 10. So,

Number of favorable outcomes = 2

The probability that the selected chip is either 9 or 10 is:

[tex]\text{Probability}=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is either 9 or 10 is [tex]\dfrac{2}{25}[/tex].

b. The numbers that are even from 1 to 25 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.

The numbers from 1 to 25 that are divisible by 3 are 3, 6, 9, 12, 15, 18, 21, 24.

The numbers that are either even or divisible by 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24.

Number of favorable outcomes = 16

The probability that the selected chip is either even or divisible by 3 is:

[tex]\text{Probability}=\dfrac{16}{25}[/tex]

Therefore, the probability that the selected chip is either even or divisible by 3 is [tex]\dfrac{16}{25}[/tex].

c. The numbers from 1 to 25 that are divisible by 5 are 5, 10, 15, 20, 25.

The numbers from 1 to 25 that are divisible by 10 are 10, 20.

The numbers that are divisible by both 5 and 10 are 10 and 20.

Number of favorable outcomes = 2

The probability that the selected chip is divisible by 5 and divisible by 10 is:

[tex]\text{Probability}=\dfrac{2}{25}[/tex]

Therefore, the probability that the selected chip is divisible by 5 and divisible by 10 is [tex]\dfrac{2}{25}[/tex].

select the right answer

Answers

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit

How do I find out 4)?

Answers

Answer:

Step-by-step explanation:

Given expression is,

[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]

By dividing denominator and numerator of the given fraction by m²,

[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]

= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]

We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]

[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]

                            [tex]=\frac{4}{3}[/tex]

Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.

10. Which is the correct classification of the value 7 pi?

Answers

Answer:

the answer is that it is real rational integer

A: real, rational, integer

2 cans of paint hold 64 and 125 oz. if the cans are similar cylinders and the smaller lid has an area of 18 find the area of the bigger lid.

Answers

Answer:

The area of the bigger lid is approximately 29.2 square inches

Step-by-step explanation:

The given data are;

The volume held by one of the cans of paint, V₁ = 64 oz

The volume held by the other cans of paint, V₂ = 125 oz

The area of the smaller lid = 18 in²

Therefore,

The 64 Oz = The smaller can of paint

The 125 oz = The larger can of paint

The diameter of the smaller lid, d₁ = √(18 × 4/π) ≈ 4.787

The ratio of can volumes = (The ratio of can diameters)³

V₁/V₂ = (d₁/d₂)³

V₁/V₂ = 64/125

d₁/d₂ ≈ 4.787/d₂

64/125 = (4.787/d₂)³

4.787/d₂ = ∛(64/125) = 4/5

d₂ ≈ 4.878×5/4 = 6.0975

The area of the bigger lid, A₂ = π·d₂²/4

∴ A₂ = π × 6.0975²/4 ≈ 29.2

The area of the bigger lid, A₂ ≈ 29.2 in.²

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

50.8

Step-by-step explanation:

sin x = 6.2/8

sin x = 0.775

x = 50. 8

Bye , have a nice day ! :-)

Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.

Hpw to Use the Sine Ratio?

When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.

Apply the sine ratio to find x

sin x = opp/hyp = 6.2/8

x = sin^(-1)(6.2/8)

x = 50.8°

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ2

Y=6*2x for x=-2 evaluate the function

Answers

Answer:

Y = -24

Step-by-step explanation:

For this problem, evaluate simply means for each x, replace the value with -2. So, let's do that.

Y = 6*2x

Y = 6*2(-2)

Y = 6*-4

Y= -24

Cheers.

Pls help I don’t know how to do this

Answers

Answer:

the answer is D

BECAUSE it satisfied the conditions

What is the y-intercept of the function f(x) = -4.2^x​

Answers

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Recall that [tex]n^0=1[/tex] for [tex]n\in \mathbb{R}[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

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