Is the equation y=5x+1 a linear equation? Explain.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b

y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).


Related Questions

whats the slope of (0,1) and (3,-5)

Answers

the slope of points (0,1) and (3,-5) is -2

0.021 +0.21 + 0.00021 +0.0021 = 0
O A. 0.0084
B. 0.084
OC. 0.2351
D. 0.23142
E. 0.23331

Answers

Answer:

E. 0.23331

Step-by-step explanation:

0.021 + 0.21 + 0.00021 + 0.0021

⇒ As 21 is a common factor, take the remaining as powers of 10.

21 (10⁻³ + 10⁻² + 10⁻⁵ + 10⁻⁴)21 (0.001 + 0.01 + 0.00001 + 0.0001)21 (0.01111)21 x 0.011110.23331

Does anyone know if this is right?

In the diagram below, m//n. Select all of the angles that are congruent to 21

Answers

Not sure about Angle. 13

An oatmeal container is in the shape of a right circular cylinder. The radius of the base is 4 centimeters, and the height is 17 centimeters. What is V, the volume of the container in terms of π?



V =
π cm3

Answers

Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3


I need help finding the mean

Answers

Answer:

there is 5 jokers

Step-by-step explanation:

the dot plot shows that

first to answer correctly will be marked brainliest

Answers

Answer:

I have no clue but i need brainliest

Step-by-step explanation:

a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce

Answers

Answer:

20%

Step-by-step explanation:

It was reduced by 20%. 24 is 80% of 30.

There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container

Answers


Answer:

Step-by-stepStep-by-step explanation:
There are 5 cups.
She takes 1/3 every day
No of days: 5 / 1/3 = 5 x 3 = 15 days

How many lines of symmetry does the letter have?

0
1
2
3

Answers

The answer is 0. Please give me brainliest!
0 because if you put a line down the middle of the shape anywhere, it wouldn’t be equal parts on both sides

The angle of elevation to a nearby tree from a point on the ground is measured to be 52


. How tall is the tree if the point on the ground is 82 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The elevation and the top of the tree form a right triangle

The height of the tree is 104.96 feet

How to determine the height of the tree?

The given parameters are:

Angle of elevation = 52 degreesHorizontal distance (b) = 82 feet

The height (h) of the tree is calculated using the following trigonometry ratio

tan(α) = h/b

Make h the subject

h = b * tan(α)

Substitute known values

h = 82* tan(52)

Evaluate the product

h = 104.96

Hence, the height of the tree is 104.96 feet

Read more about right triangles at:

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Answer:

Step-by-step explanation:

tan 52 = x/82

x= 82 x tan 52

x=104.96

Use substitution to solve the system.

-4x+5y = -26

y = 3x-14

Answers

Answer:

x= 4, y= -2

Step-by-step explanation:

To solve the system by substitution, start by labelling the two equations:

-4x +5y= -26 -----(1)

y= 3x -14 -----(2)

Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.

Substitute (2) into (1):

-4x +5(3x -14)= -26

Expand:

-4x +15x -70= -26

11x= 70 -26

11x= 44

Divide both sides by 11:

x= 44 ÷11

x= 4

Substitute x= 4 into (2):

y= 3(4) -14

y= 12 -14

y= -2

What is the value of 1500 divided by (6 squared + 43) x 37

Answers

Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37

Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...

Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532

The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.

Simplification is solved using BODMAS rule.

The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:

[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]

This can be simplified as,

[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]

[tex]\dfrac {1500}{79} \times37[/tex]

On further solving, it results to 702.531647.

The value of the given expression is 702.531647.

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• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =


Answers

Step-by-step explanation:

3(7 + x) = 3×7 + 3x = 21 + 3x

remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).

Joseph researched the ages of some of his favorite professional

football players. He recorded his results in the dot plot below.
Which of the following statements about the distribution are true?


I. There are two peaks at 27 and 28.
II. The distribution is skewed.
III. The distribution does not have an outlier.
IV. The distribution shows a spread of 5.




I only


I, II, and III only


I, III, and IV only


I, II, III, and IV

Answers

The statements that are true about the dot plot are: I, III, and IV only.

What is the Spread of a Data in a Dot Plot?

The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.

In the dot plot given, the spread of the data is: 30 - 25 = 5.

The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.

Therefore, the statements that are true about the dot plot are: I, III, and IV only.

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A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

Answer:

net loss of 10

Step-by-step explanation:

stop 1 :

13 off

5 on

7 net loss

stop 2 :

3 off

3 net loss

total net loss = 3+10

=10

The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?

Answers

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

What is  radical function?

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]

therefore

[tex]((x+k)^{1/n-1}) > 0[/tex]

As graph is decreasing monotonically  

[tex]\frac{a}{n} < 0[/tex]

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

[tex]f(x)=a(x+k)^{1/n} +c[/tex]

[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex]   as (a < 0)

[tex]0=-a(k)^{1/n} +c[/tex]

[tex]-c =-a(k)^{1/n}[/tex]  multiplying (-1) both side

[tex]c =a(k)^{1/n}[/tex]  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

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Which loan has the lowest total repayment?

Answers

Answer:   Loan B

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

Explanation:

Refer back to this related question

https://brainly.com/question/27362373

In that link I detail how to find that

Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02

Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

---------------

Summary total repayment

Loan A = 20,910 dollarsLoan B = 18,648.72 dollars

We have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).

Answer :  

Loan B

Explanation :

Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02

Cost of Loan A repayment

Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910

Cost of Loan B repayment

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72

Clearly, Loan B has the lowest total repayment.

Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?

Answers

Answer:

Annabelle answered 85% of the answers correctly.

Step-by-step explanation:

You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)

(3.6×10−5)÷(9×10−7) in Standard Form

Answers

Answer: 31/83  (decimal form 0.373494)

Step-by-step explanation:

3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?

Answers

Answer:

Answer given in the image below

I hope my answers helps you.

Kevin ours more than emily each time they work together. Using this information, complete the table

Sorry for bad quality

Answers

Answer:

i believe the last one would be 9 for the number of hours kevin works.

Step-by-step explanation:

olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent

Answers

Answer:

22 cents

Step-by-step explanation:

Rounding the number $0.2217 to the nearest cent, we get $0.22.

15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?

Answers

Answer:

I think 50 yrs old

Step-by-step explanation:

I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%

What two factors add to -9 and multiply to 18

Answers

Answer:

3 × 6 = 18 3 + 6 = 9

Step-by-step explanation:

3 × 6 = 18 3 + 6 = 9

What is the Pythagorean Theorem used for?

Answers

Answer:

Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse

Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

Factorise the following quadratic:
m^2 - 5m + 6

Answers

Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

Find the area and the circumference of a circle with diameter 3ft.


Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Step-by-step explanation:

hello :

the circumference is :P=2pi×r=2×3.14×3= .... continu

Answer:

Area=  7.065ft^2

Circumference= 9.42ft

Step-by-step explanation:

The area of a circle is,

area=Pi*r^2

and the circumference,

circumference=2*Pi*r

with r being the diameter/2

so we get,

area=(3.14)(1.5)^2=7.065ft^2

circumference=2(3.14)(1.5)=9.42ft

Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth

Answers

Answer:

While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70

Step-by-step explanation:

i hope this helps

The correlation coefficient of the given data about time and heart rates is 0.98.

What is correlation coefficient?

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.

How to calculate correlation coefficient?

We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.

The formula by Karl Pearson to calculate correlation coefficient is as under:

Correlation coefficient=

=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]

We have to calculate figures required to fill in the formula which are:

∑(x-x bar)(y-y bar)=350

∑[tex](x-x bar)^{2}[/tex]=44.67

∑[tex](y-y bar)^{2}[/tex]=2872.25

Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]

=350/6.68*53.59

=350/357.98

=0.977

After rounding off to nearest hundred it will be 0.98.

Hence the correlation coefficient of the data about time and heart rate is 0.98.

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Divide.
0.4) 29
Enter your answer as a decimal in the box.

Answers

Answer:

0.0138

Step-by-step explanation:

the division gives a value which is almost recurring hence we round off to get 0.0138

Answer:

72.5 (I did the math)

Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103

Answers

Answer:

4.245 x 10^4

Step-by-step explanation:

10^4 = 10,000

10^3 = 1,000

4.235 * 10,000 = 42,350

7.152 * 1,000 = 7,152

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