There is a line whose y intercept is 3 and whose slope is 6. What is its equation in slope-imtercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = 6x + 3
Step-by-step explanation:
Equation of the line
------------------------------------------------------
The equation of the line in slope-intercept form is:
y = mx + b
Being m the slope and b the y-intercept.
Where m is the slope and (h,k) is a point through which the line passes.
We are given the y-intercept as b=3 m=6.
Thus, the equation of the line is:
y = 6x + 3
Related Questions
Carrie invests some money at a rate of 8% per annum.
After 1 year there is £2754 in the account. How much did she invest?
Answers
Carrie must have invested £2550 at 8% interest rate for 1 year
What is the present value of £2754 ?
The present value of £2754 is its today's worth of the £2754 that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754 today
PV=FV/(1+r)^N
PV=amount invested=unknown
FV=worth of investment after 1 year=£2754
r=interest rate=8%
N=number of years since invested=1
PV=£2754/(1+8%)
PV=£2754/1.08
PV=£2550
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Oliver is starting a running plan to train for a race. In the first week of his running plan, Oliver will run 14 miles. The plan calls for Oliver to increase his weekly milage by 3.5 miles every week. If Oliver sticks to the plan, how many miles would he be expected to run during his 10th week of the training plan?
Answers
if you let x equal the number of weeks and y equal the total amount of miles, you could set up the equation
y = 3.5x + 14
to find the amount of miles Oliver ran during the 10th week, you would plug in 10 for x, giving you
y = 3.5(10) + 14
y = 35+14
y=49
Answer:
49 miles
Step-by-step explanation:
Let x be equal to the no. of weeks and y be equal to the total amount of miles ran.
Then the equation will be, y = 3.5x + 14
Now to find the amount of miles Oliver ran during the 10th week substitute 10 for x.
So, y = 3.5(10) + 14
y = 35+14
y=49
Your savings account pays 1.75% interest per year. You make a $500 deposit. How much interest does the account earn in the first month.
Answers
per month: 0,0175/12 = 0,00145833
500*0,00145833 = 0,73$ interest
The interest the account earn in the first month is = $0.73
The amount deposited( = $500
The payment rate per year = 1.75%
The payment time = per year(12 months)
Therefore simple interest in first month=
[tex] \frac{p \times t \times r}{100 \times 12} [/tex]
[tex] \frac{500 \times 1 \times 1.75}{100 \times 12} [/tex]
[tex] \frac{875}{1200} [/tex]
=$0.73
Therefore, the interest the account earn in the first month is = $0.73
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At a chili festival over the past few years , restaurant a won 56 out of 98 contest. Restaurant b won 84 out of 147 contests. Which restaurant has the better record? what decimal represents the wins for restaurant a ? what decimal represents the wins for restaurant b?
Answers
At the chili festival both restaurant (a) and (b) have the same record of winnings as they have equivalent fractions: 4/7
Information about the problem:
Winnings restaurant a = 56Contest restaurant a = 98Winnings restaurant b = 84Contest restaurant b = 147Which has the better record=?what decimal represents the wins for restaurant a =?what decimal represents the wins for restaurant b =?Calculating which restaurant has the better record, we get:
Rate (a) = Winnings restaurant a / Contest restaurant a
Rate (a) = 56/98
Simplifying, we get:
Rate (a) = 4/7
Rate (a) = 0.5714285
Rate (b) = Winnings restaurant b / Contest restaurant b
Rate (b) = 84/147
Simplifying, we get:
Rate (b) = 4/7
Rate (b) = 0.5714285
That means 56/98 and 84/147 are equivalent fractions.
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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Help please. Order from greatest (left) to least.
Answers
Answer:
[tex]\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
Step-by-step explanation:
[tex]Lets\ take\ \pi 's\ approximate\ value\ as\ 3.14159\\Hence,\\ \pi +3\\=3.14159+3\\=6.14159\\2\pi -\sqrt{9} \\=2*3.14159-3\\=6.28318-3\\=3.28318\\\frac{\pi }{2} \\=1.570795\\[/tex]
[tex]As\ we\ can\ see\ that,\\6.14159>3.28318>1.570795,\\Their\ corresponding\ values\ are\ also\ in\ the same\ order:\\\pi +3 >2\pi -\sqrt{9}>\frac{\pi }{2}[/tex]
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the worlds tallest house of cards measured 8 meters tall. there are approximately 5 meters in 16 feet. what was the height of the house of cards in feet.
Answers
Answer:
I will helpppppppppp uuuuuuu
Step-by-step explanation:
Protozoa are single-celled organisms.
Paramecium aurelia is one type of protozoan. The
number of Paramecium aurelia protozoa doubles
every 1.25 days. There was one protozoan on a slide
5 days ago. How many protozoa are on the slide now?
Answers
The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.
What is a series?A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Number of protozoa 5 days ago = 1
Since protozoa double every 1.25 days.
Number of times protozoa doubles in 5 days ⇒
5 / 1.25 = 4 times.
So,
1 →2 → 4 → 8 → 16
Hence "The number of protozoa on the slide now is 16".
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Which Integer describes 50 feet below sea level
Answers
Answer:
-50
Step-by-step explanation:
When they something below sea level or elevation it's negative.
Hope It Helps
Sorry If I'm Wrong
The graph represents f(x) = x +3
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 1) to (negative 4, negative 1). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (1, 5) to (2, 5).
What is f(−2.2)?
-2
0
1
2
Answers
Answer:
c. 1
Step-by-step explanation:
edge 2020 :) have a nice day
The required value of f(-2.2) is 1 for the given function f(x)=x+3. The correct answer is an option (C).
The given function is f(x)=x+3.
To find f(-2.2) on the given graph of f(x) = x + 3, we need to locate the corresponding point on the step graph.
From the information provided, we know that the left-most segment starts at (-5, -1) and ends at (-4, -1), and each segment is 1 unit higher and 1 unit farther to the right than the previous segment.
To determine the value of f (-2.2), we need to find the segment that includes the x-coordinate of -2.2.
Since the x-coordinate -2.2 falls between -4 and -3 (1 unit to the right of the left-most segment), the corresponding y-coordinate is 2 units higher than the starting y-coordinate of -1.
So, f(-2.2) = −1 + 2
f(-2.2) = 1.
Thus, the required value of f(-2.2) is 1.
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Suppose that a family has four children. What is the probability that at least two are female?
1/2
5/16
11/16
9/16
10/16
Answers
Answer:
1/2 im pretty sure if not try 5/16
SOMEONE PLZ HELP I WILL GIVE BRAINLY
Two cars on a roller coaster hold 14 riders combined. If 12 cars are linked together, how many riders can fit on the roller coaster at one time? Explain how to solve this problem.
Answers
14/2=7
12•7=84
Answer 84
Problem 10
(a) Using Fermat's little theorem, show that 999 999 is divisible by 7.
(b) A number has digits that are all 9 and is divisible by 13. Show that
it is also divisible by 1001.
Answers
Part (a)
Note 999999=1000000-1. By Fermat's little theorem, since 100000=10⁶,
[tex]10^{6} \equiv 1 \pmod{7} \\ \\ \therefore 10^{6}-1 \equiv 0 \pmod{7}[/tex]
Part (b)
Note that
[tex]10^{12n}-1=(10^n)^{12}-1 \equiv 0 \pmod{13}[/tex]
Since
[tex]1 = 1001 - 1000[/tex]
and
[tex]-1 \equiv 1000 \pmod{1001}[/tex]
10³ is its own inverse modulo 1001, meaning that:
[tex]10^3 x \equiv 1 \pmod{1001} \implies x=10^3 \\ \implies 10^{12n}=(10^3 \cdot 10^3)^{2n} \equiv 1 \pmod{1001} \\ \\ \implies 10^{12n}-1 \equiv 0 \pmod{1001}[/tex]
7th grade math help me please :))
Answers
Answer:
-1/2
Step-by-step explanation:
-6/12
-1/2
I’ll give Brainliest!
What is the solution to this system of equations?
A. (-1,3)
B. (3,-1)
C. (6,-2)
D. (-2, 6)
Answers
Answer:
(-2,6) 〆(・∀・＠)
Step-by-step explanation:
The Two Lines intercept.
19=10−5x+9x−7
what is x?
Answers
Answer:
4
Step-by-step explanation:
fourrrrrrr
2x + -10 = 10 + -3x
Explanation
Reorder the terms:
-10 + 2x = 10 + -3x
-10 + 2x = 10 + -3x
Solving for variable x
Move all terms containing x to the left, all other terms to the right
Add 3x to each side of the equation
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Answer
So your answer is x=4
hope that helps you:)
Linda headed east at 20 miles per hour on her bicycle at 9 a.m. Three hours later Shanna headed west from the
same place, walking at 6 miles per hour. What time was it when they were 164 miles apart?
Answers
Step-by-step explanation:
Let t = time (in hrs) Linda rode her bike
Then (t-3) = Shana's time walking
:
Write a distance equation: dist = speed * time
:
Linda's dist + Shana's dist = 164
20t + 6(t-3) = 164
20t + 6t - 18 = 164
26t = 164 + 18
26t = 182
t = 182/26
t = 7 hrs, Linda is on the road
:
Time: 9 AM + 7 hrs = 4 PM, they will be 162 miles apart
:
Check using Linda's and Shana's distances:
20(7) + 6(7-3) =
140 + 24 = 164 mi
determine the domain on which the following function is increasing:
Answers
Is the following a function? (2,5),(-9,5), (1,8), (3,2), (-2,1)?
A.yes
B.no
Answers
Answer:
Yes
Step-by-step explanation:
HELP ILL GIVE BRAINLIST
Answers
Answer:
$4.25
Step-by-step explanation:
Easy price is 85 so
Divide 85 by 100
0.85
then multiply by 5
0.85*5=4.25
Brainliest please and you're welcome
which equation represents the graph?
Answers
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
f(x)=75(1-.3)^x
Answers
Answer:
0.7 is the growth factor
0.3 is the growth rate
Step-by-step explanation:
Here, we want to get the growth rate and the growth factor
Let us consider the general form of an exponential equation
That will be;
y = a(1 + r)^n
The growth rate is r
while the growth factor is the term (1 + r)
From the given exponential function;
-0.3 is the rate of increase
Growth rate is 1-0.3 = 0.7
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answers
Answer/step-by-step explanation:
We know that during their first year, the company caught 95,000 fish, and the amount of fish caught decreased 4% each year. First, let's calculate 4% of 95,000, by doing the equation: 95,000 x 0.04 = 3,800
So, each year, the company catches 3,800 less fish.
In order to find out how many fish the company caught in ten years, we need to multiply 3,800 x 10 and then subtract it from 95,000. Then we need to multiply that number by 10.
3,800 x 10 = 38,000
95,000 - 38,000 = 57,000 x 10 = 570,000.
Therefore, the company caught a total of 57,000 fish in the first ten years.
Hope this helps! :D
Which pair of expressions are equivalent?
A)j+j+j+ and j^4
B)16g+10-4g and 20g+10
C) 16c+24c and 4(4c+6c)
D) 14e^2+3e+8 and 17e^2+8
Answers
4(4c+6c)
4(10c)
40c
They both equal 40, hope this helps!
through (-4,3) , perpendicular to m=-2/3
Answers
Answer:
The equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
Step-by-step explanation:
Given
The point (-4, 3)m = -2/3We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
[tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 3/2 and the point (-4, 3)
[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]
[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]
Add 3 to both sides
[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]
[tex]y=\frac{3}{2}x+9[/tex]
Thus, the equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
please please helpppp
( ˘ ³˘)♥︎
Given m
11
n, find the value of x and y.
m
(5x+9)
(y+20)
n
(4x+17)
Answers
Answer: x=8 and y=29
Step-by-step explanation:
Since the lines M and N are parallel to each other, the corners that are across from each other are equal. This is true for the corners formed by the lines on the top and bottom.
So, all of the given equations can be set equal to each other. ie: (5x+9)=(4x+17)=(y+20).
Now, since the first two expressions both have x as their only variable, set those equal to each other and do not include the y expression.
ie: (5x+9)=(4x+17)
Now solve for x by subtracting 4x from each side.
ie: x+9=17
Now subtract 9 from each side
ie: x=8
Now you have your X value
Use your X value to solve one of the x variable equations.
ie: 5(8)+9
This equals 49.
Use this answer to substitute it in the equation where we set them all equal.
ie: 49=y+20
Now solve for y using this equation
ie: y=29
X= (-4/5) ÷ (1/2)
x=
simplest form
Answers
Answer:
the answer is that X= -8/5
Step-by-step explanation:
(50points) Easy algebra 1. PLEASE HELP ME ASAP !!!
Answers
Marcus incorrectly identities two of the key features of the graph y=3-4x. put an x next to incorrect statements. correct his errors. a. the slope of the line is 3. b. the line goes down from left to right. c. the y-intercept is -4. d. to graph the line, plot the y-intercept. then plot another point 4 units down and one unit right.
Answers
The correct equation for the mentioned is y = 3x - 4
According to the given equation,
The graph is plotted below -
What is the equation's slope?The slope formula is m=(y2-y1)/, which represents the ratio of the change in the y values to the change in the x values (x2-x1). The coordinates of the beginning point are x1 and y1. The coordinates for the second point are x2, y2.
Y = mx + c is the equation for the line as a whole.
Given that the equation's slope is 3,
and -4 for the y-intercept.
When compared to the initial equation,
the line of the equation has a value of -
y = 3x - 4
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Increase 130 by one fifth
Answers
Answer:
sorry i cant help
Step-by-step explanation:
Answer:
156.
Step-by-step explanation:
130/5 = 26.
130 + 26 = 156.
a music store brought a CD set at a cost of $10. When the store sold the CD set,the precent markup was 10%. Find the selling price
Answers
Answer:
1
Step-by-step explanation:
10% percent of 10 is 1. I hope this helps you out!
Answer:
$1.00
Step-by-step explanation:
10 times .1 = 1