Answers
Answer: y = 4x-1
Step-by-step explanation:
1) Choose two points for the later equation.
For this example, I will use (-1,-5) and (2,7)
2) Place it in a rise/run equation. (y/x)
[tex]\frac{y2-y1}{x2-x1} \\\\\frac{7-(-5)}{2-(-1)} \\\\\frac{12}{3} \\\\4[/tex]
The Slope is 4.
3) Find the y-intercept
So, we can place a given point and slope into a y=mx+b function.
[tex]y=4x+b[/tex]
Next, we can substitute the point and slope.
[tex]7 = 4(2)+b\\7=8+b\\-1=b[/tex]
4) Finally, place it all in slope intercept form
y = 4x-1
Related Questions
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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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
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
please simplify this:(5x^4)^3
Answers
[tex](5x^{4} )^{3} \\=5x^{4*3} \\=5x^{12}[/tex]
I used the law of exponents as indicated below:
[tex](x^{n} )^{m} \\=x^{n*m} \\=x^{nm}[/tex]
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.
The perimeter of a kite can be found using the formula P = 2S + 2L. Which
equation expresses S in terms of P and L?
Answers
Answer:
S = ( P - 2L) / 2
Step-by-step explanation:
P = 2S + 2L
P - 2L = 2S
(P - 2L) / 2 = S
Hope this helps :D
Help! What is f(4) for the function F(x) =5x+7?
f(4)=
Answers
Answer:
27
Step-by-step explanation:
f(x) = 5x + 7
f(4) = 5(4) + 7
= 20 + 7
f(4) = 27
Find k such that f(x) = x^4+ kx³ + 2 has the factor x + 1.
Answers
K = 1 is the value when x = - 1 is Factor of equation .
Why do we use the term factors?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.f(x) = x^4+ kx³ + 2
x + 1 = 0
x = -1 put in equation
(-1)⁴ + k( -1)³ + 2 = 0
1 - k + 2 =0
k = 1
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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.
Please help me get a 100%!
Answers
Answer: D) there are no solutions.
Step-by-step explanation:
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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PLease help me with this!!
Answers
The linear equation is:
y = -6*x + 59
The slope is -6, and means that each hour the distance decreases by 6 miles.
The y-intercept is 59, and it is the initial distance to the waterfall.
How to get the linear equation?A general linear equation in the slope-intercept form is:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
Here we can define the variables:
y = distance
x = hours.
Then we have two points (8, 11) and (9, 5).
So the slope is:
a = (5 - 11)/(9 - 8) = -6
This means that the distance to the waterfall decreases by 6 miles each hour.
Then the linear equation is like:
y = -6*x + b
To find the value of b we can use any of the given points, I will use (9, 5), this means that:
5 = -6*9 + b
5 = -54 + b
54 + 5 = b
59 = b
This is the y-intercept, and gives the initial distance to the waterfall.
The equation is:
y = -6*x + 59
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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
2-2 additional practice
Answers
Answer:
0
Step-by-step explanation:
2-2=0
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
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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NEED ASAP PLEASEEEEEE
Answers
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 ⇒ SupermanWhat 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 ⇒ SupermanSo, the conclusions can be:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanTherefore, using logical reasoning, we can conclude the costumes of 6 friends are:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanKnow more about logical reasoning here:
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MATH 100 points if you do this
Answers
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!
Hope this helps! Have an amazing rest of your day! Please consider awarding me brainliest! ;)
Which of the following macromolecule provides quick energy to cells?
O lipid
O protein
O carbohydrate
O nucleic acid
Answers
Answer:
c
Step-by-step explanation:
I definitely didn't searched it
I NEED ANSWER REALLY FAST IN GEOMETRY 40 POINTS
The diagram shows a certain construction technique. If
mABF = x + 10x - 1, mCBF = 12x + 7,
what is mLCBF?
Answers
If f bisects angle ABC, then mABF and mCBF should be equal to one another. This means we can set up an equation:
x + 10x -1 = 12x +7
Now evaluate for x, and we get
x = -2, x = 4. Plugging in each value to the original equation, we find it cannot be -2 since angles are positive values. This leaves x = 4.
mCBF = 12(4) + 7 = 55.
Here is a photo of my work, it is hard to type it out on my phone:
60 - 18 / 2 + 4 + 10 / 2 = 12
Answers
Answer:60 =12
Step-by-step explanation:
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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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
(-2)^-3 how would i do this
Answers
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
To make the -3 positive, you put the power under 1.
[tex]\frac{1}{(-2)^{3} }[/tex] This means [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{-8}[/tex] Which means the same as[tex]\frac{-1}{8}[/tex]
Solve 32 ≤ −5z − 32.
Answers
The solution to the given linear equation is equivalent to z≥ -12.8
Solving linear equationLinear 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:
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
I need help with this please someone help its due today
Answers
Answer:8
Step-by-step explanation:
2+6=8
Answer:
8 ghdhlhskgslhdlhskgz
what is the slope of y=4.5
Answers
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:
0
Step-by-step explanation:
there is no x so it is 0
0 it is
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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