Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.​

Answers

Answer 1

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer 2

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4


Related Questions

in a mixture a there is 2l of syrup in 3l of water. in a mixture b there is 1.8l of syrup in 2.5 water. in which mixture, concentration syrup is higher?

Answers

Answer:

Step-by-step explanation:

In the first mixture the concentration syrup is higher

Concentration syrup is higher in mixture B.

What is Proportion?

Two or more ratios made to be equal to each other is termed as proportion.

We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.

Mixture A:

Concentration of syrup in 3 l of water = 2 l

Concentration of syrup in 1 l of water = 2/3 l = 0.67 l

Mixture B :

Concentration of syrup in 2.5 l of water = 1.8 l

Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l

Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.

Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.

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. which one of the following is not equal to the rest?
a. 2% of 150
b. 3 / 4 of 400
c. 5% of 60
d. 6% of 50​

Answers

Answer:

a

Step-by-step explanation:

Which expression is equivalent to fourteen more than the product of three and nine

Answers

Answer:

Step-by-step explanation:

The product of 3 and 9 just means to multiply 3 and 9. This is written as:

3 x 9

14 more than this just means to add 14 to the above.

3 x 9 + 14

answer 2 questions about equations A and B.
A. 5=-2(x-1)
B. 5=-2x+2
1. how can we get equation B from equation A?
A. rewrite one side (or both) by combining like terms
B. rewrite one side (or both) using distributive property
C. multiply or divide both sides by the same non zero constant.
D. multiply or divide both sides by the same variable expression.
2. based on the previous answer, are the questions equivalent? in other words do they have the same solution?
Yes or No​

Answers

Answer:

B.

Step-by-step explanation:

I'm not sure how to answer the 2. question

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week. Week Mass (grams) (start) 80

Answers

Answer:

Week                   Mass  (gram)

(start)                    80

   1                         88  

   2                        96.8

   3                         106.48

   4                          117.128

Step-by-step explanation:

From the question we are told that

   The  mass of the kitten at the start week  is  m  =  80 g

   The rate at which the kitten grows is  r  =  0.10

Generally the mass of the kitten at the first  week is mathematically represented as  

    [tex]m_1 = ( r *  m)  + m[/tex]

=>[tex]m_1 = ( 0.10 *  80 )  + 80 [/tex]      

=>[tex]m_1 = 88 \ g  [/tex]      

Generally the mass of the kitten at the second week is mathematically represented as  

     [tex]m_2 = ( r *  m_1)  + m_1[/tex]

=>[tex]m_2 = ( 0.10 *  88 )  + 88 [/tex]      

=>[tex]m_2 = 96.8 \ g  [/tex]      

Generally the mass of the kitten at the third  week is mathematically represented as  

     [tex]m_3 = ( r *  m_2)  + m_2[/tex]

=>[tex]m_3 = ( 0.10 *  96.8)  + 96.8 [/tex]      

=>[tex]m_3 = 106.48  \ g  [/tex]      

Generally the mass of the kitten at the fourth  week is mathematically represented as  

     [tex]m_4 = ( r *  m_3)  + m_2[/tex]

=>[tex]m_4 = ( 0.10 *  106.48)  + 106.48 [/tex]      

=>[tex]m_4 = 117.128  \ g  [/tex]              

Week                   Mass  (gram)

(start)                    80

   1                        88  

    2                      96.8

    3                      106.48

   4                        117.128

 

what’s the answer to this mathematical question

Answers

Answer:

15

Step-by-step explanation:

c=√a²+b²

=√9²+12²

=√9×9+12×12

=√81+144

=√225

=15

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A man's age today is 2 years more than three time the age his son will be in 5 years from now. if a represent the age of the son write an expression to find the age of the man today

Answers

Answer:

3a*5 = (age of man) +2

Step-by-step explanation:

how do you solve
16 < b + 8, if b =22​

Answers

Answer:

16 < 30

Step-by-step explanation:

Substitute 22 for b, add 22 to 8 (30)

The inequality is correct, 30 is greater than 16

Find the slope of (2,-3) (-4,7)

Answers

Answer:

m = 139167 / 329 = 423 / 1 = 423

Step-by-step explanation:

\displaystyle\int_{-\infty}^\infty e^{-x^2}dx = \sqrt{\pi}

\displaystyle \sum_{n} \frac{1}{n^s} = \prod_{p} {\frac{1}{1 - \frac{1}{p^s}}}

\displaystyle n! = \int_{0}^{\infty} {x^n e^{-x} \,dx}

F(n) = \frac{(\varphi)^n - (-\frac{1}{\varphi})^n}{\sqrt{5}}

Super Glad I Could Help Today!

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Have A Wonderful Day!

If 4w – 1 = 11, then 4w = 12

What the property?

Answers

W is 3, is that correct

The cost of 0.75 pounds of bananas is $0.63. How much will one pound of bananas cost?

Answers

Answer:

The cost of one pound of bananas is $0.84.

How much does 4 7/5 kg of candy cost if 5/6 of candy costs $7.50?

Answers

Answer:

It costs $42.43

Step-by-step explanation:

Answer:

$1.35

Step-by-step explanation:

7.5÷ 5/6=0.25

0.25x4 7/5=1.35

Find the slope given the following two points: (16,3) and (14, -19)

Answers

Answer:

the slope m=11

Step-by-step explanation:

(To find the slope use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex])

(16,3), where 16=x1 and 3=y1

(14,-19), where 14=x2 and -19=y2

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

=[tex]\frac{-19-3}{14-16}[/tex]

=[tex]\frac{-22}{-2}[/tex]

(simplify)

=11

students at Freeman Middle School have a choice of water milk or juice for breakfast from a survey it was determined that 50 students prefer water 100 prefer juice and 150 prefer milk. you want to know the probability that exactly 3 of 4 randomly selected students do not prefer water how could you model the scenario? This scenario can be simulated by Rolling a six-sided die (A 3 B 4 C 5 D 6 E 7 times). The (A numbers 0 to 3 B numbers 0 to 6 C number 1 D numbers 7 to 9 ) would represent students who prefer water if a number (A 0 to 3 B 0 to 6 C 1 D 7 to 9) appears only once in a set of outcomes then it will mean that three of four randomly picked students do not prefer water in that set .​

Answers

Answer:

The probability that exactly three of four randomly selected students that do not prefer water is; P=125/1296= 0.096

Step-by-step explanation:

Hope this helps

The required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

Given that,
Students at Freeman Middle School have a choice of water milk or juice for breakfast.
From a survey, it was determined that 50 students prefer water 100 prefer juice, and 150 prefer milk.


What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

the probability that selected students to prefer water.
Total sample space = 300
Total desired events = 50
Pw = 50 / 300 = 1/6

the probability that selected students do not prefer water
Total sample space  = 300
Total desired events = 100+150 = 250

Pmj = (250)/300
     = 5/6


The probability for exactly 3 of 4 randomly selected students do not prefer water can be given as,

Preq =  Pmj.Pmj.Pmj.Pw

Preq = (5/6)^3 × 1/6

Preq= 125/1296
  = 0.096

Thus, the required probability that exactly 3 of 4 randomly selected students do not prefer water is 0.096.

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Selecting a State Choose one of the 50 states at
random.
a. What is the probability that it begins with M?
b. What is the probability that it doesn't begin with a
vowel?

Answers

Answer:

PART ONE- 8/50 PART 2-38/50

Step-by-step explanation:

First of all, we know that there are 50 states. Lets see how many states begins with M first.

Maine‎ (27 C, 5 P)

Maryland‎ (28 C, 5 P)

Massachusetts‎ (29 C, 4 P)

Michigan‎ (28 C, 4 P)

Minnesota‎ (28 C, 2 P)

Mississippi‎ (27 C, 6 P)

Missouri‎ (25 C, 3 P)

Montana‎ (27 C, 6 P)

There are 8 states which means that the probabilty is 8/50 which simplifies to 4/25

We know that 12 states begins with a vowel. 50-12 is 38/50

The probability that it begins with M is 0.16 and the probability that it doesn't begin with a vowel is 0.76

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Given that, Selecting a State, Choose one of the 50 states at random.

We know that, P(A) = n(A)/n(S)

where, P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

a) There are 8 states which begins with M, that means the probability = 8/50 = 4/25 = 0.16

b) We know that 12 states begins with a vowel,

Therefore, the probability that it doesn't begin with a vowel = 1 - 12/50 = 38/50 = 0.76

Hence, The probability that it begins with M is 0.16 and the probability that it doesn't begin with a vowel is 0.76

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Write the equation of the line containing point (-3, 2) and having a slope of 6.

Answers

Answer:

y + 2 = 6(x - 3)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

Simply plug in your known variables into the point-slope form to find your equation:

y₁ = 2

x₁ = -3

m = 6

y + 2 = 6(x - 3)

A teacher is decorating her bulletin board. She needs boarder for the board. If the bulletin board has a length of 15 long and a width of 6 feet long
How much boarder does she need for the entire bulletin board?

Answers

Answer:

42

Step-by-step explanation:

When doing perimeter, you add all sides. 15+15+6+6=42

Answer:

1+1=2 2+2=4 4+4=8

Step-by-step explanation:

1+1=2 2+2=4 4+4=8

1/12
Multiply
(3v – 8)(v +6)
A) 312 – 26V + 48
C) 3v2 + 101 - 48
B) 30v2 - 41 - 48
D) 312 - 48

Answers

Answer:

C

Step-by-step explanation:

Its one only one with 3v2 since you do 3v * v

Need help ASAP have 30 minutes

Answers

Answer:

7.25

Step-by-step explanation:

if you want to know what 1 box would be you would divide 14.50 by 2 to get 7.25 i’m sorry if i did this wrong

Mutiply. Express your answer 7/10 times 2/5

Answers

Answer:

7/25

Step-by-step explanation:

the answer is 7/25

because 7/10 x 2/5 =7/25

Chloe bought 3 iPods for a total of $660. At this rate, what is the cost of 2 iPods?

Answers

Answer:

$440

Step-by-step explanation:

You need to divide 660 by 3 to find the price of one, which is $220, then you need to multiply that number by 2 to get the price of two, which is $440.

I hope this helps!!!

Evaluate the expression 12-3y\2 + y(2y-4\y) for y =3​

Answers

Answer:

43/2

Step-by-step explanation:

Evaluate 12 - (3 y)/2 + y (2 y - 4/y) where y = 3:

12 - 3 y/2 + y (2 y - 4/y) = 12 - 3×3/2 + 3 (2×3 - 4/3)

Hint: | Express -3×3/2 as a single fraction.

-3×3/2 = (-3×3)/2:

12 + (-3×3)/2 + 3 (2×3 - 4/3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

12 - (3×3)/2 + 3 (6 - 4/3)

Hint: | Multiply -3 and 3 together.

-3×3 = -9:

12 + (-9)/2 + 3 (6 - 4/3)

Hint: | Put the fractions in 6 - 4/3 over a common denominator.

Put 6 - 4/3 over the common denominator 3. 6 - 4/3 = (3×6)/3 - 4/3:

12 - 9/2 + 3 (3×6)/3 - 4/3

Hint: | Multiply 3 and 6 together.

3×6 = 18:

12 - 9/2 + 3 (18/3 - 4/3)

Hint: | Subtract the fractions over a common denominator to a single fraction.

18/3 - 4/3 = (18 - 4)/3:

12 - 9/2 + 3 (18 - 4)/3

Hint: | Subtract 4 from 18.

| 1 | 8

- | | 4

| 1 | 4:

12 - 9/2 + 3×14/3

Hint: | Express 3×14/3 as a single fraction.

3×14/3 = (3×14)/3:

12 - 9/2 + (3×14)/3

Hint: | Cancel common terms in the numerator and denominator of (3×14)/3.

(3×14)/3 = 3/3×14 = 14:

12 - 9/2 + 14

Hint: | Put the fractions in 12 - 9/2 + 14 over a common denominator.

Put 12 - 9/2 + 14 over the common denominator 2. 12 - 9/2 + 14 = (2×12)/2 - 9/2 + (2×14)/2:

(2×12)/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 12 together.

2×12 = 24:

24/2 - 9/2 + (2×14)/2

Hint: | Multiply 2 and 14 together.

2×14 = 28:

24/2 - 9/2 + 28/2

Hint: | Add the fractions over a common denominator to a single fraction.

24/2 - 9/2 + 28/2 = (24 - 9 + 28)/2:

(24 - 9 + 28)/2

Hint: | Evaluate 24 + 28 using long addition.

| 1 |  

| 2 | 8

+ | 2 | 4

| 5 | 2:

(52 - 9)/2

Hint: | Subtract 9 from 52.

| 4 | 12

| 5 | 2

- | | 9

| 4 | 3:

Answer: 43/2

what is 150 divided by 12

Answers

Answer:

75

Step-by-step explanation:

150/2=75

Answer:

It is 12.5!

Step-by-step explanation:

If you use a calculator and type in 150 / 12 (/ = divide)

I hope this helped you a lot! :)

Can y’all help plz hurry


1.34x=4.02

2x-5=1

Answers

Answer:

So the second one is 3

The first one is 3

Step-by-step explanation:

You just divide the first one 4.02/1.34

The second one

1) 2x-5=1

2) add  5 on to both sides= 6

3) divide 2 by 6 = 3

I don’t understand it .

Answers

Answer:

A?

Step-by-step explanation:

Let f(x) = 6x^2 +5 and g(x) = 3x - 5. Find g(f(0)).

Answers

Answer:

The answer is 10.

Step-by-step explanation:

f(x) = 6* x^2 + 5

f(0) = 6*0^2 + 5 = 5

g(x) = 3x - 5

g(f(x)) = 3 * (f(x)) - 5

g(f(0)) = 3 * 5 - 5 = 10


Which graph represents a function?

Answers

Answer:

graph c represent a function

Step-by-step explanation:

if you do the line test the line will not hot any other points  excpet one

C is the answer for this

Please help me I’m stuck

Answers

Answer: oh no are you stuck

Step-by-step explanation: don't worry step sis ill help you :)

It takes 12.5g of kool-aid powder to make 5 liters of juice. How many grams of powder will it take to make 20.5 liters of juice? pls answer quick its due in 15 mins

Answers

Answer:

8.2

Step-by-step explanation:

Sorry man, A bit late : l but here it is anyways...

12.5g of kool-aid power can make 5 liters of juice.

20.5g liters of juice can make ? liters of juice.

Think of it as a ratio!

12.5:5 and 20.5:?

what times what equals to what?

12.5/2.5=5 SO, you do 20.5/2.5= 8.2

That's your answer! Hope you get it right!

Answer:

51.25 grams

Step-by-step explanation:

Alright so, in this question you need to figure out what is the amount for 1 liter. We can figure this out by doing 12.5 ÷ 5.

That equals to 2.5 grams. Great, now we have figured out the amount for 1 liter. The next step is pretty self explanatory. We multiple 2.5 grams x 20.5 and that equals to 51.25 grams needed.

Mathamatical explanation:

12.5g ÷ 5L

= 2.5g

2.5g x 20.5L

= 51.25grams

I really hoped this helped you guys.

can someone please help me? I need to know what the slope of this line is! It’s timed! For math! Brainlest will be marked!

Answers

Answer:

I think its two

Step-by-step explanation:

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