Mathematics High School

Can someone help with questions 3,4 and 5? THANK YOUUU ^^ I did questions 1 and 2

Answers

Answer 1

Answer:

Question 3.

[tex]y = \frac{2}{7} x - 3[/tex]

question 4

[tex]y = - 4x - 1[/tex]

question 5

[tex]y = 5x + 3[/tex]

Step-by-step explanation:

Question 3

1.Write down what is given in equation form

[tex]y = \frac{2}{7} x + c[/tex]

2. Insert the given point to work out c

[tex] - 5 = \frac{2}{7} ( - 7) + c[/tex]

[tex]c = - 3[/tex]

3. answer

[tex]y = \frac{2}{7} x - 3[/tex]

Question 4

1 write what was given in an equation

[tex]y = - 4x + c[/tex]

2. insert given point (-1;3) to work out c

[tex]3 = - 4( - 1) + c[/tex]

[tex]c = - 1[/tex]

3. final answer

[tex]y = - 4x - 1[/tex]

question 5

1.with what was given write it in equation form

[tex]y = 5x + c[/tex]

2. substitute the given point (-2;-7) to work out c

[tex] - 7 = 5( - 2) + c[/tex]

[tex]c = 3[/tex]

3.final answer

[tex]y = 5x + 3[/tex]

Related Questions

what is the slope of y=4.5

Answers

The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
0
m
=
0
b
=
4.5
b
=
4.5
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
0
0
y-intercept:
(
0
,
4.5
)

Answer:

Step-by-step explanation:

there is no x so it is 0

0 it is

The ordered pairs below represent a function.

{(−4,2), (−2,1), (0,0), (2,−1)}

What is the RANGE of the function?

Answers

The range of the function is -1 ≤ y ≤ 2

What is the range of a function?

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

How to determine the range of the function?

The ordered pair is given as

{(−4,2), (−2,1), (0,0), (2,−1)}

Rewrite as

(x, y) = {(−4,2), (−2,1), (0,0), (2,−1)}

Remove the y values

So, we have

y = {2, 1, 0,−1}

Express as an inequality

-1 ≤ y ≤ 2

Hence, the range is -1 ≤ y ≤ 2

Answers

Answer:

Step-by-step explanation:

2-2=0

Using the Pythagorean Theorem find the missing length and then round the result to the nearest tenth.

a = 7, b = 4, c =

Answers

Answer:11

Step-by-step explanation: because 7+4=11

Mellisa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon l. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish.

Answers

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

Let $x be the cost of 1 pound of salmon.

The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.

Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.

Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.

She pays a total of $31.25, then we get an equation,

2.5x + 1.25(x - 0.20) = 31.25

We solve above equation for x.

2.5x + 1.25x - 0.25 = 31.25

3.75x = 31.50

x = 8.4

So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20

and combined cost = $8.40 + $8.20

Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60

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The store is trying to get rid of their Game of Thrones Season 8 sets and is marking them down by 25%. The original price was $55. What is the new price before sales tax?

Answers

The answer is $41.75

Megan is in a musical production. She was at practice for 2 3/4 hours yesterday and 3 1/2 hours today. Altogether she spent 1/3 of her practice hours dancing. How many total hours did Megan spend dancing yesterday and today?

Answers

Megan spent 2 1/12 hours dancing both yesterday and today

How to calculate the number of hours Megan spent dancing ?

Megan is involved in a musical production

Yesterday, she practiced for 2 3/4 hours

Today she practiced for 3 1/2 hours

The first step is to calculate the total number of hours she spent at the practice

2 3/4 + 3 1/2

= 11/4 + 7/2

The LCM between both fractions is 4

11/4 + 7/2

11 + 14/4

= 25/4

Megan spent 25/4 hours yesterday and today practicing

Out of this 25/4 hours, she spent 1/3 hours dancing

Therefore the hours she spent dancing can be calculated as follows

= 25/4 × 1/3

= 25/12

= 2 1/12

Hence Megan spent 2 1/12 hours dancing yesterday and today

Answers

you’re correct it’s number 3 because it’s the only one without an equal sign

Level C
Mia, Jake, Carol, Barbara, Ford and Jeff are all going to a costume party. Figure
out what costume each person is wearing and when they arrived at the party.

•The person that arrived fourth was wearing a bathing suit.

•Barbara was the last to arrive.

•Jake and Mia arrived and stayed together.

● The first person was dressed as a French maid.

• Superman arrived right before Barbara.

•The potato heads were always together at the party.

•Ford was a surfer dude.

• The French maid was not Carol.

• The vampire arrived after Superman.

Answers

Using logical reasoning, we can conclude that the costumes of 6 friends are:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

What is logical reasoning?Deductive (Logical) Reasoning. Using a collection of facts or data to infer further facts is known as logical or deductive reasoning. It entails using premises to support certain conclusions.Any problem can be objectively studied through the use of reasoning skills, which aids in coming to a logical conclusion about how to continue. For instance, let's say you have an issue at work, and you need to solve it. You use the information at hand and your capacity for logical reasoning.

So, We know:

Barbara ⇒ Vampire ⇒ Last to arrive ⇒ After SupermanJake and Mia ⇒ Arrived and stayed together ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ 1st person ⇒ Not CarolCarol is left to be ⇒ Superman

So, the conclusions can be:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

Therefore, using logical reasoning, we can conclude the costumes of 6 friends are:

Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ Superman

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When are reciprocals used to solve an equation?

Answers

It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.

As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.

Therefore, reciprocals are used to move factors across the equation to isolate the variable.

………………………………………………….

Answers

Answer:

i don't know if this is fully correct but I believe that the answer is both because both elements are used it this piece of art. one the art is in color. two it uses both horizontal and vertical lines.

Solve 32 ≤ −5z − 32.

Answers

The solution to the given linear equation is equivalent to z≥ -12.8

Solving linear equation

Linear equations are equations that has a linear degree of 1. Given the following linear equation below:

32 ≤ −5z − 32

Add 32 to both sides

32 + 32 ≤ −5z − 32 + 32

64 ≤ −5z

Swap

-5z ≥ 64

Divide both sides by -5.

-5z/-5 ≥ 64/-5

z≥ 64/-5

z≥ -12.8

This gives the equivalent linear equation.

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Answer: Its c not d he kinda had it right but no

Step-by-step explanation:

A car has 6 gallons of gasoline remaining in the tank. This is 60% of the total amount of gasoline the tank will hold. How many gallons of gasoline does the car’s tank hold?

Answers

the car's tank hold 10 gallons of gasoline.

Step-by-step explanation:

if 6 is 60% of total amount of gasoline so what is the 100% of the gasoline so when we solve the 100% of the gasoline will be 10.

solve: ? 100%

6 60%

it first we write the thing that we want to find

Yes 10 gallons of gasoline, and I need answers for my question and my bad

Equivalent equation to 2(x +3)=16

Answers

Answer: x = 5Show your work!! = 2(x+3)=16Apply the Distributive Property2x+6=16Rearrange variables to the left side of the equation2x=16-6Calculate the sum or difference2x = = 10Divide both sides of the equation by the coefficient of variable10 2

Expand and simplify (x -6)(x + 2)

Answers

Answer: X^2 - 4x -12

1. Distribute :

(x−6)(x+2)

x(x+2)-6(x+2)

2. Distribute:

x(x+20-6(x+2)

X^2 +2x-6(x+2)

3. Distribute:

X^2+2x-6(x+2)

X^2+2x-6x-12

4. Combine like terms:

x^2+2x-6x-12

solution:X^2-4x-12

through(−1,−5),slope=9

Answers

Answer:

y = 9x+4

Step-by-step explanation:

Using the slope-intercept formula

y = mx+b where m is the slope and b is the y-intercept

y = 9x+b since we are given the slope is 9

Using the point is (-1,-5)

-5 = 9(-1) +b

-5 =-9 +b

Solving for b

-5+9 =b

4 = b

y = 9x+4

Convert the standard form equation into slope-intercept form. 5x - 4y = -20

Answers

Answer: y=5/4x+5 is the equation in slope-intercept form.

I dont understand this

Identify all pairs of parallel segments. Arrange letters in
C
ALPHABETICAL
orders (AC. DF)
)//(
)//(
)//(

Answers

All pairs of parallel segments are given below.

What are parallel lines?

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible. Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

Given,

a) Line segment = AC and FD

Parallel = AC ║FD

b) Line segment = AE and BD

Parallel = AE ║BD

c) Line segment = EC and FB

Parallel = EC ║FB

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the jasmine family kept a log of the distance they traveled during a trip, as represented by the graph below
during which interval was their average speed the greatest

Answers

Answer:

I would say its 4, the eighth to tenth hour.

Use the product rule to find the derivative of the following. (Hint: Write the quantity as a product.)k(t) = (t² − 2) ²k' (t) =

Answers

[tex]\begin{gathered} The\text{ product Rule is used to calculate:} \\ \frac{d}{dx}(f(x)*g(x)) \\ =\text{ f'\lparen x\rparen *g\lparen x\rparen + f\lparen x\rparen *g'\lparen x\rparen} \\ In\text{ our case f\lparen x\rparen = g\lparen x\rparen. We therefore need to find} \\ \frac{d}{dx}(t^2-2)(t^2-2) \\ \end{gathered}[/tex][tex]\begin{gathered} f^{\prime}(x)\text{ = g'\lparen x\rparen} \\ =2t \\ Therefore \\ f^{\prime}(x)*g(x)\text{ + f\lparen x\rparen *g'\lparen x\rparen} \\ =\text{ 2t\lparen t}^2-2)\text{ + 2t\lparen t}^2-2) \\ =\text{ 4t\lparen t}^2-2) \end{gathered}[/tex]

Line g has an equation of y = 1/3x - 1. Parallel to line g is line h, which passes throush the point (10, 2). What is the equation of line h?

Answers

The equation reads: y = 1/3x - 4/3.

Describe Line.

The points that make up a line can be extended endlessly in opposite directions. Two points along the same line are referred to as collinear points.

The slopes are the same if two lines are parallel to one another.

Consequently, line h's slope would be equal to line g's 1/3.

All that is left to do is plug the points into the formula to determine the y-intercept.

2 = 1/3(10) + b

2 = 10/3 + b

2 - 10/3 = b

2-10/3 = b

-4/3 = b

Hence, the equation for h is y = 1/3x - 4/3.

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4
Royce deposits $1200 into a savings account. After nine year, he made $3472.32.
What is the annual simple interest rate of the loan?

Answers

The interest rate needed to make $3,472.32 from simple interest on a principal of $1,200.00 over 9 years is 21.04% per year.

How to determine simple interest rate?

Simple interest is expressed mathematically as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is rate and t is the time period.

Given the data in the question;

Principal P = $1200 Accrued amount A = $3472.3Time period t = 9 yearsInterest rate r = ?

Plug the given values into the simple interest formula and solve for r

A = P( 1 + rt )

r = (1/t)(A/P - 1)

r = ( 1/9 )( $3472.3/$1200 - 1)

r = ( 1/9 )( 2.8936 - 1)

r = ( 1/9 )( 1.8936)

r = 0.2104

Convert to percentage

r = 0.2104 × 100%

Rate r = 21.04%

Therefore, the interest rate of the loan is 21.04%.

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Someone answer this please!

Answers

Answer:

Answer down below!

Step-by-step explanation:

The correct answers are as follows:

2^381 over 1/2^3

Answer: 2nd, 3rd, 5th

Step-by-step explanation:

Solve the problem

1/2*1/2*1/2 = 1/1/8

1 * 8/1

Check each answer

1) -(1/2)^3

-(1/2*1/2*1/2)

-(1/8)

-1/8

2) 2^3

2 * 2 * 2

Yes

3) 1/1/2^3

[tex]\frac{1}{\frac{1}{2} *\frac{1}{2} *\frac{1}{2} }\\ \frac{1}{\frac{1}{8} }\\1 * \frac{8}{1} \\8[/tex]

Note: Flip fraction when dividing a fraction.

Yes

4) 1/8

1/8

5) 8

Yes

1. Kai teaches music lessons as an independent contractor. Last month, he taught 41
music lessons at $65 each. Determine the amount of Kai's self-employment taxes for
last month, using the tax rate of 15.3%.

Answers

The amount for Kai's self employment taxes for the last month is $407.745 .

In the question ,

it is given that

number of music lessons that Kai taught = 41

per music lesson charge = $65 .

the tax rate for self employment = 15.3%

So, the total amount earned is = (number of classes)*(per class charge)

= 41*65 = $2665

According to the question .

Kai's self employment tax = 15.3% of total amount earned

On substituting the values , we get

Kai's self employment tax = 15.3% of 2665

= 0.153*2665

= 407.745

Therefore , The amount for Kai's self employment taxes for the last month is $407.745 .

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MATH 100 points if you do this

Answers

Answer:

300% increase

Answer:

Increase

200%

Step-by-step explanation:

Since I can't figure out how to input my work in my answer as equations, I will attach my work from a screenshot!

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You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150

Answers

Total cost of bratwursts + Total cost of hamburgers ≤ 150

that is 1.3x + 1.2y ≤ 150

Given,

The total number of guests = 35

Minimum number of bratwursts or hamburgers each one need = 3

The cost of bratwursts = $1.3 each

The cost of hamburgers = $1.2 each

Total budget = $150

We can take number of bratwursts as x and number of hamburgers as y.

Lets check.

Each guest need at least three food items = 35 × 3 = 105

That is, you need more than 105 food items.

So,

x + y ≥ 105

Lets see,

Total cost for bratwursts = 1.3x

Total cost for hamburgers = 1.2y

Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.

That is,

Total cost of bratwursts + Total cost of hamburgers ≤ 150

1.3x + 1.2y ≤ 150

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Consider the following word problem: Twenty more than four times a number is equal to the difference between 2 and twice the number. Find the number.

Answers

Given:

The objective is to find the number.

Explanation:

Consider the unknown number as x,

First, four times the number can be written as 4x.

Twenty more than 4 time the number will be,

[tex]4x+20\ldots\ldots.\text{ (1)}[/tex]

Then, twice the number can be represented as 2x.

And the difference between 2 and twice the number will be,

[tex]2-2x\ldots\ldots..(2)[/tex]

Now, equate both the equations (1) and (2).

[tex]\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}[/tex]

Hence, the unknown number is -3.

List the first 5 multiples.
18:
20:
16:
32:

Answers

Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80

32: 32, 64, 96, 128, 160

Step-by-step explanation:

multiply each number by 1 2 3 4 5 respectivly to get the answer.

9 = 3/4v solve for v simplify your answer as much as possible

Answers

Answer:

v = 12

Step-by-step explanation:

to solve this equation you must first multiply 4 to both sides

9 * 4 = 3/4v * 4

36 = 3v

now divide 3 to both sides

36 / 3 = 3v / 3

12 = v

flip it

v = 12

that is your answer

Pls help 50 points

You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.

Will report if answer is not related to question

Answers

Using it's concepts, the average speed and the average velocity are given as follows:

Average speed: 40 miles per hour.Average velocity: 0 miles per hour.

Average speed

The average speed is given by the quotient between the total distance traveled and the time taken, that is:

Average speed = total distance/time

In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:

Average speed = 60/1.5 = 40 miles per hour.

Average velocity

The average velocity is given by the quotient between the displacement and the time taken, that is:

Average velocity = displacement/time

The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.

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