Answer:
y=3x+1
Step-by-step explanation:
4--2=6
1--1=2
6/2=3
slope is 3
4=3(1)+b
4=3+b
4-3=3-3+b
1=b
1 is the y intercept
Answer:
y = 3x + 1
Step-by-step explanation:
(x₁, y₁) = (-1, -2) & (x₂ , y₂) = (1, 4)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{4-[-2]}{1-[-1]}\\\\= \frac{4+2}{1+1}\\\\= \frac{6}{2}\\\\= 3[/tex]
m = 3
y -y₁ = m(x - x₁)
y - [-2] = 3(x - [-1])
y + 2 = 3(x +1)
y + 2 = 3x + 3
y = 3x + 3 -2
y = 3x + 1
The coordinates of both the pre-image and image of quadrilateral JKLM are listed in the table
below.
Which rule best represents this dilation?
A- (x, y) -> (4/11 x, 4/11 y)
B- (x,y) -> (3/22 x, 3/22 y)
C- (x, y) -> (11/4 x, 11/4 y)
D- (x, y) -> (22/3 x, 22/3 y )
Answer:
Option C.
Step-by-step explanation:
From the table attached,
Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)
J(-8, 2) → J'(-22, 5.5)
Since, rule for the dilation of a point is,
(x, y) → (kx, ky) [Here k = scale factor of dilation]
Therefore, kx = -22
k(-8) = -22
k = [tex]\frac{-22}{-8}[/tex]
k = 2.75
So the scale factor should be 2.75
From the given options,
Option A.
(x, y) → [tex]\frac{4}{11}(x, y)[/tex]
→ 0.36(x, y)
But value of k should be 0.36
Therefore, Incorrect option.
Option B.
(x, y) → [tex]\frac{3}{22}(x, y)[/tex]
→ 0.14(x, y)
k = 0.14
But the value of k should be 2.75
Incorrect option.
Option C.
(x, y) → [tex]\frac{11}{4}(x, y)[/tex]
→ 2.75(x, y)
k = 2.75
Therefore, this option is correct.
Option D.
(x, y) → [tex]\frac{22}{3}(x, y)[/tex]
→ 7.33(x, y)
k = 7.33
But the scale factor should be 7.33
Incorrect option.
You invest $3,635 in an investment with annual rate of return 6%. How much will the investment be worth after 8 years?
Answer:
5,379.80
Step-by-step explanation:
you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80
The table shows the relationship between y, the cost to rent a boat, and x, the mount of
time the boat is rented
Boat Rental Costs
Time,
Cost
(hours) (dollars)
1
32
5
104
Which grabest represents the relationship between x and y'shown in the table?
Boat Rental
Boat Rental
Answer: A
Step-by-step explanation:It shows the correct graph
x/-4 = -1.1
I’m bad at one step equations so thank you if you help <3
x/-4 = -1.1
=> x = -1.1 × -4
=> x = 4.4
An estate of $485,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives $13,000 more than the youngest. How much did each receive?
Answer:
Step-by-step explanation:
the youngest received 94,200
the middle received 107,200
the eldest received 283,600
Step-by-step explanation:
Given parameters:
Worth of the estate = $485000
Unknown:
Amount received by each sibling = ?
Solution:
Let the amount received the eldest = e
middle = m
youngest = y
e = 3y
m = y + 13000
so;
e + m + y = 485000
3y + y + 13000 + y = 485000
5y = 485000 - 13000
5y = 472000
y = $94400
Eldest = 3y = 3 x 94400 = $283200
Middle = $94400 + $13000 = $107400
Youngest = $94400
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
Answer:
36
Step-by-step explanation:
In a Parallelogram , it is important to note that opposite sides are equal to each other.
We are given parallelogram ABCD.
We have sides: AB, BC, CD, AD.
Since opposite sides are equal then:
AB = CD
BC = AD
The perimeter of a parallelogram is the sum of all its sides.
In the question: BC=13 and AB=5
Hence,
AB = CD = 5
BC = AD = 13
Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13
= 36.
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Answer:
1514.8
Step-by-step explanation:
Answer:
1,514.8
Step-by-step explanation:
When using inverse operations, what should you do to solve y - 7 = 10?
Answer:
17
Step-by-step explanation:
There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17
When you replace that y with 17, the equation is correct.
What is the percentage difference in average lifetime earnings of a college graduate earning $60,000 / year vs. a high school graduate earning $38,000 / year?
Answer: 37
Step-by-step explanation:
Use the data below to determine how many days of class a student missed if he or she has a quarter grade of 40%.
Question 3 options:
A.7 days
B.4 days
C.9 days
D.1 day
Answer:7 days
Step-by-step explanation:
Connor and Maria are doing yard work for a neighbor. They make a total of $596.58. Since Maria works more hours than Connor, Maria gets 59% of the money. About how much (in whole dollars) does Maria make?
Maria makes about:
$300
$310
$240
$360
$410
$420
Answer:
360
Step-by-step explanation:
but 350 more accurately
PLEASSSE HELP ASAP I'LL GIVE ⊂BRAINLIEST⊃ AND ↑5 STARS↑ !!!
⇔ all answers answered are required for 5 stars & brainliest⇔
Wilson paints 40% of a bookcase in 20 minutes.
How much more time will it take him to finish the bookcase? Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
second question
How much time will it take Wilson to finish painting the bookcase? Explain.
Answer:
Step-by-step explanation:
30 minutes UoU
Every 10 minutes he finishes 20% of the book case.
so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%
The table below shows the total cost for purchasing a certain number of equally-priced concert tickets
Write an equation to describe the relationship between t, the number of tickets, and c, the total cost of tickets.
Answer:
c=55t
Step-by-step explanation:
Your answer will be c=55t
The graph below shows the number of cases of candy bars four students sold for a fundraiser and the total number of candy bars in those cases. How many candy bars are in each case
Answer:
Step-by-step explanation:it’s between 30 and 50
Answer: The answer is 25
Step-by-step explanation: If you look at the kid with 200 bars he had 8 boxes, so all you had to do was divide 8 by 200. I hope this helped! : )
4. To be linear means to have a constant (the same)
rate of change over all intervals. Which of the
following relationships is linear?
|
X
4.
2.
0
Y
1
5
13
17
X
1
2
4
5
Y
1
3
5
7
A.
B.
X
5
3
-1
-3
Y
1
5
13
17
Y
5
9
Sinaloa
1
6
C.
D.
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. If you buy five of the XYZ bonds with $8 commission for each, how much will it cost? a. $5025 b. $5065 c. $1005 d. $1045
Answer:
Answer is B. 5065
Step-by-step explanation:
Edge says so
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the XYZ bond on the previous day?
Edge says its C. 100 1/4
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the ABC bond on the previous day?
Edge says its D. 104 3/4
Answer:B
Step-by-step explanation:
Simone paid $5.25 for 3 pounds of apples. Which equation represents the cost, in dollars, C, of buying a pounds of apples?
C = 1.75a
C = 2.25a
C = 1.75 + a
C = 2.25 + a
Explain whatever the answer is.
What is the equation of this line?
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did debby collect
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8
Alyssa had to read 110 pages over the weekend. By Saturday, she had completed 60 pages. What percent did she complete? Which proportion can be used to solve? *
60/110 = x/100
x/110 = 60/100
110/60 = x/100
Answer:
i believe the answer is c or 110/60=x/100
Step-by-step explanation:
Right now, Kate is 4 times as old as Tim. In four years, Katie will be 2 times as old as
Tim How old is each of them right now? How old will they be in four years?
Answer:
wth kinda question is this well how old is tim they could be 15 or 30 we don't clarify for us
Step-by-step explanation:
get smarter for asking question
Answer:
ya what the guy said above me
Step-by-step explanation:
Gven f(x) = -5x+9 If F(x)=-89. find x
Answer:
19.6 = X
Step-by-step explanation:
Plug in -89 for F(x)
Then just solve.
Get that 100.
what's the answer plz
Answer:
x ≥ 33
Step-by-step explanation:
Answer: the answer is 33
How long will it take for an investment to triple, if interest is compounded continuously at 8%?
It will take years before the investment triples.
Answer:
It will take 14 years before the investment triples
Step-by-step explanation:
Continuous Compounding
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
[tex]FV = PV\cdot e^{i.t}[/tex]
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
[tex]3PV = PV\cdot e^{i.t}[/tex]
Dividing by PV:
[tex]3 = e^{i.t}[/tex]
Taking logarithms:
[tex]\ln 3=i.t[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]
[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
It will take 37.5 years before the investment triples.
The formula for calculating the future value is expressed as:
[tex]A =Pe^{rt}[/tex]
P is the principal
r is the rate (in %)
t is the time (in years)
If the investment tripled, then A = 3P. The equation will become:
[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]
Hence it will take 37.5 years before the investment triples.
Learn more here: https://brainly.com/question/18442810
I need help ASAP ! Nd plz help me how to show work
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3
what is the solution to the inequalities shown above x/4 + 16 > 34?
A. x 18
C. x > 72
D. x < -72
Which linear inequality and its solution set is represented by the graph?
Answer:
im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
5+2(10-4) ask question?
Answer: It is 17
Step-by-step explanation:
5+2(10-4)
5+2(6)
5+12
17
Answer: 17
Step-by-step explanation: you just have to simplify
Need help I’ll mark brainliest
Answer:
Step-by-step explanation:
y=25x if y is the miles and x is the time
Answer:
u just got to multiply it, for extra and faster help, use math away for ur math and its a bot so obviously it will tell you the answer and steps, hope I hekoed and plus my bday is in 6 days I'll be 13! I'm just so excited!!! I'm a girl, you could call me Che and yeah... I forgot what I was gonna say but bye and pls yall, pls be nice to me, it's close to my bday! thx.
>33333
pls mark me Brainliest! Thanks
Step-by-step explanation:
help me for brainliest :p
Answer:
it is b
Step-by-step explanation:
when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.