What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?

Answers

Answer 1

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1


Related Questions

The ratio on a key board of number keys to letter keys is 3:15. If a manufacturer produced 156 letter keys,then how many keys would need to be produced?

Answers

Answer: Approximately 31 number keys.

Step-by-step explanation: Ratio is a comparison between two values.

Ratio for number keys to letter keys is [tex]\frac{3}{15}[/tex], which means each 3 group of number keys is equivalent to 15 letter keys.

The producer will need

[tex]\frac{3}{15} =\frac{x}{156}[/tex]

[tex]x=\frac{3.156}{15}[/tex]

x = 31

The manufacturer will need to be produced 31 keys.

can someone help me ASAP please​

Answers

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

0.001 is 1/10 the value of?

Answers

Answer:

0.01

Step-by-step explanation:

A fraction is a way to describe a part of a whole. 0.001 is 1/10 the value of 0.01.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the value be represented by x.

x × 1/10 = 0.001

x = 0.001 × 10

x = 0.01

Hence, 0.001 is 1/10 the value of 0.01.

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Question 16
7 pts
16. The ratio of the number of girls to the number of
boys in art in 7 to 4. There are 60 boys in art. How
many girls are in art? (6.4B)

Answers

Answer:

105 girls

Step-by-step explanation:

girls : boys

7 : 4

Let total number of people in art be (7 + 4)x.

4x = 60

x = 15

no. of girls = 7x = 7 x 15 = 105

This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

it looks to be the second answer

Step-by-step explanation:

I Tried 140 And 80. Those answer were incorrect. Right Answer gets 5 stars and a branliest. THANK YOU SO MUCH!!

Answers

Answer:

a 60

Step-by-step explanation:

Answer:

The Answer Is 60 I Had This Test Already.

Step-by-step explanation:

I need help with my homework

Answers

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angleThe measure of any circle is 360°

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

m of arc RQ = 10x + 30

The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

The measure of the arc RQ is 160°

Determine the correlation:
How much you study vs. The grade you get on your test

A- positive correlation
B- negative correlation
C- no correlation

Answers

a - positive correlation

teachers are just like that sometimes man

they are saying that the more you study the higher your grade is, so positive correlation

Which equation can be used to find 75 percent of 200?

Answers

Answer:

The first equation

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

75 percent *200 =

(75:100)*200 =

(75*200):100 =

15000:100 = 150

Now we have: 75 percent of 200 = 150

Question: What is 75 percent of 200?

Percentage solution with steps:

Step 1: Our output value is 200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,200=100%

Step 4: Similarly, x=75%​.

Step 5: This results in a pair of simple equations:

$200=100%(1)​.

x=75%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

200/x ​= 100% / 75%​​

Step 7: Again, the reciprocal of both sides gives

x/200 ​= 75/100​​

Therefore, 75% of 200​ is 150

Does anyone know the answer to this?

Answers

Answer:

<ABD is 73 ...work below

Step-by-step explanation:

5x + 18 + 4x +5 = 122

9x + 23 = 122

9x = 99

x = 11

no since we got x...

5(11) + 18

73

Which statement is true about the equations –3x + 4y = 12 and 1 x - y = 1?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution; the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer:

           None of these answers is true

Step-by-step explanation:

1x - y = 1     ⇒     x - 1 = y

-3x + 4y = 12

-3x + 4(x - 1) = 12

-3x + 4x - 4 = 12

   x - 4 = 12

     x = 16   ⇒    16 - 1 = y     ⇒    y = 15

Therefore the system of the equations has exactly one solution at (16,15)

Answer:

D- There are infinite solutions

Step-by-step explanation:

-3x + 4y= 12 is the same as 1/4x -1/3y = 1.

1/4x multiplied by 12 is 3x

-1/3y multiplied by 12 is -4y

To flip the negatives you multiply by -1 to get -3x + 4y+ 12 on both equations

A rug has a length to width ratio of 5:3 and the area of the rug is 135 sq. ft. What are the dimensions of the rug?

Answers

Answer:

Length = 15 and Width = 9

Step-by-step explanation:

5:3 = 135

make 5, 5x and 3, 3x so that would be 5x*3x = 135

when you times two x's that makes x²

making 15x² = 135

Divide 15 on both sides making 135 now 9

so x² = 9

with a squared x you used a square root

√9 = 3

so x is equal to 3

then put those into 5x, 5(3) and 3x, 3(3)

thus making 15 sq. ft and 9 sq. ft

Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9

Answers

Answer: B. 3/6

Step-by-step explanation:

The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.

triangle ABC has vertices at A (-12,-8) B (10,-6) and C (6,14. What is the midpoint of side AC of the triangle?

Answers

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

PLEASE HELP ME
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has higher academic achievements relative to the budget per student.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
SAT average divided by budget per student

(Choice B)
B
Graduation rate divided by budget per student

(Choice C)
C
Number of sports medals won divided by budget per student

(Choice D)
D
Graduation rate divided by number of sports medals won
2) Determine which school has higher academic achievements relative to the budget per student, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes. According to both definitions, School A has higher academic achievements relative to the budget per student.

(Choice B)
B
Yes. According to both definitions, School B has higher academic achievements relative to the budget per student.

(Choice C)
C
No. The definitions have opposite results.

Answers

The two different quantities to measure which school has higher academic performance are:

Graduation rate / Budget per studentSAT average / Budget per student

How to illustrate the information?

The parameters which could be used to measure academic achievement are the graduation rate of each school he SAT average of each school.

Therefore, defining the quantity to measure academic achievement relative to budget per student could be expressed as the graduation rate divided by the budget per student. It can also be the SAT average divided by the Budget per student.

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Answer:

SAT average/budget per student and graduation rate/budget per student----No, the definitions have opposite results

Step-by-step explanation:

khan

ANSWER THIS CORRECTLY AND I WILL 5 STAR U AND GIVE U POINTS AND THANK YOU
IF NOT ME AND MY CLASS WILL REPORT YOU FOR WRONG ASNWERS AND GIVE U ONE STAR

HELP ME OUT PLS :))
HAPPY THANKSGIVING ALL!

Answers

Answer:

C

Step-by-step explanation:

given:

m= -2 and (3, -1)

point-slope form: y-y1= m(x-x1)

y - (-1) = -2(x-3)

y + 1 = -2(x-3)

Answer:

C.

Step-by-step explanation:

A.) y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

B.) y - 1 = -2(x + 3)

y - 1 = -2x - 6

y = -2x - 6 + 1

y = -2x - 5

C.) y + 1 = -2(x - 3)

y + 1 = -2x + 6

y = -2x + 6 - 1

y = -2x + 5

D.) y + 1 = -2(x + 3)

y + 1 = -2x - 6

y = -2x - 6 - 1

y = -2x - 7


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum

this means that you are adding something, so you're going to use the
+
sign;

of a number

this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10

this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

PLS HELP I WILL GIVE YOU A GOOD BRAINLY SCORE!!!!!!!!

Answers

Answer:

I cannot see what the titles in the chart say, so cannot help.

Step-by-step explanation:

Let’s say the chart says this:

Total        |           Bob          |         George

5 dics               2 dics.                      3 Discs

Unless they give you a total number, and an expression, you cannot solve for x.

Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows into the second lake, and then water from the second lake flows further downstream. The in and out flow from each lake is 500 liters per hour. The first lake contains 100 thousand liters of water and the second lake contains 200 thousand liters of water. A truck with 500 kg of toxic substances crashes into the first lake. Assume that the water is being continually mixed perfectly by the stream.
a. Find the concentration of toxic substances as a function of time in both lakes.
b. When will the concentration in the first lake be below 0.001 kg per liter?
c. When will the concentration in the second lake be maximal?

Answers

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

after 3 hours ernie had traveled at 195 miles if he travels at a constant speed how far will he have traveled after 5 hours

Answers

Answer:

325

Step-by-step explanation:

195/3=65

5*65=325

Help please I’m so bad at these

Answers

Answer:

23/24

Step-by-step explanation:

I used my calculator, but find the greatest common factor which is 24 and convert and multiply to get 23/24.

I think the answer would be 23/24

Jackson had $53 in his account. He bought a video game. He now has -$12 in his
account. How much was the video game?

Answers

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

Find the inverse of the function y = x2 – 12.

Answers

Answer:

y = √ x+12(square root of x+12)

Step-by-step explanation:

x = y^2 - 12

x+12 = y^2

y^2 = x+12

y = √ x+12

Answer:

Question 1. Find the inverse of the function y = x2 – 12.

B. y=+/- sqrt x+12 end sqrt

Question2. Find the inverse of the function y=2x2+2

D. y= +/- sqrt 1/2x-1 end sqrt

Please help 30 points

Answers

Answer (see photo below):

I hope this helps!

Answer:

Step-by-step explanation:

First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.

Formula = y - y1 = m(x - x1)

Slope = 3/4 or 0.75

Point = (2,-3)

y - y1 = m(x - x1)

y - (-3) = 3/4(x - 2)

y + 3 = 3/4x - 1.5

y = 3/4x - 1.5 - 3

y = 3/4x - 4.5

Graph is shown below.

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

                          |

                         V

State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.

Answers

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

A local grocery store makes a 6-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins cost $3 per pound, the sunflower seeds cost $1 per pound, and the chocolate-covered peanuts cost $1.50 per pound. The mixture calls for twice as many raisins as sunflower seeds. The total cost of the mixture is $11.50. Write a system of equations for the situation and solve for the amount of each item in the trail mix.

Answers

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

A recipe calls for 3 cups of flour to 4 cups of sugar. Find the unit rate of flour to cups of sugar.

Answers

Answer: 0.75 cups of flour to 1 cup of sugar.

Step-by-step explanation:

From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.

It simply means what we need to calculate much of flour to one cup of sugar. This will be:

= 3/4 = 0.75

Therefore, the unit rate will be:

0.75 cups of flour to 1 cup of sugar.

Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.

Answers

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

the base salary of an employee and a 2% salary increase

Answers

I'm assuming the base salary of this employee is $25.00

25.00+2%

Convert the percent into a decimal.

0.02

Now multiply.

25.00x0.02=0.5

Now add to the base salary.

25.00+0.50=$25.50

The 2% increase was $0.50

The total is $25.50

nya

A plastic ball with a volume of 19.7
cm3 has a mass of 15.8 g. Would this
ball sink or float in a container of
gasoline (density of gasoline is 0.66-
0.69 g/cm3).

Answers

Answer:

as the density of the plastic ball is greater than the density of the gasoline it sinks

Step-by-step explanation:

D = 15.8 / 19.7

D = 0.80 g / c ^ 3

0.8> (0.66-0.69)

The density of the plastic ball is greater than the density of gasoline, the ball would sink in a container of gasoline.

Given that a plastic ball with a volume of 19.7 cm³ has a mass of 15.8 g.

We need to check if the ball sink or float in a container of gasoline if the density of gasoline is 0.69 g/cm³.

To determine whether the plastic ball would sink or float in a container of gasoline, we need to compare the density of the ball with the density of gasoline.

Density is defined as the mass of an object divided by its volume. In this case, the density of the plastic ball can be calculated as:

Density of ball = Mass of ball / Volume of ball

Given that the mass of the ball is 15.8 g and the volume is 19.7 cm³, we can calculate the density of the ball:

Density of ball = 15.8 g / 19.7 cm³

Density of ball ≈ 0.8 g/cm³

Now, we can compare the density of the ball with the density of gasoline, which is stated to be between 0.66 g/cm³ and 0.69 g/cm³.

Since the density of the ball (0.8 g/cm³) is greater than the density range of gasoline (0.66-0.69 g/cm³), the ball would sink in a container of gasoline.

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