Answer:
x squared = y
Step-by-step explanation:
FunctionsThings can get more complicated, but based on the examples given, for an equation to be a function of x, it must have a single y, where the y is not raised to a power.
Option 1: x=5
This equation doesn't have a y, so it isn't a function of x.
Option 2: x = y squared + 9
This equation has y raised to a power, so it isn't a function of x
Option 3: x squared = y
This equation has a y, and the y isn't raised to a power. This is a function of x.
Option 4: x squared = y squared + 16
This equation has y raised to a power, so it isn't a function of x
Determining functions graphicallyIf the equations are graphed, the graphs must pass a vertical line test (a vertical line drawn anywhere should not intersect the graph more than once).
Option 1: x=5
x=5 represents a vertical line, so it fails the vertical line test (the vertical line would overlap and intersect it infinitely many times).
Option 2: x = y squared + 9
x = y squared + 9 is a sideways parabola. A vertical line will cross it twice in several places
Option 3: x squared = y
x squared = y is a parabola that opens upward. It will pass the vertical line test
Option 4: x squared = y squared + 16
x squared = y squared + 16 is a hyperbola (fancy graph shape) that won't pass the vertical line test.
can someone help me please
Answer:
Step-by-step explanation:
Answer:
This is the correct answer
Mr. Aamodt bought a new lawn tractor for $3,350.
a. The state sales tax on the lawn tractor purchase will be 6.5%. How much state sales tax will Mr. Aamodt pay on the tractor? (2 points)
b. Mr. Aamodt has applied for a 2‐year loan at the bank for $3,350 to pay for the new lawn tractor. The bank will charge him 8.4% simple interest on the loan. What amount of interest will Mr. Aamodt pay on the loan? (2 points)
c. What is the total cost of Mr. Aamodt’s new lawn tractor, including the purchase price, the loan interest, and the sales tax? (2 points)
Answer:
A) 217.75 sales tax
B)281.40 he will pay on the loan
C)$3849.15 he will pay including total cost, interest, and tax
Step-by-step explanation:
A)
To find sales tax, multiply the price by its percentage. 6.5% in decimal is 0.065. 3350x0.065=217.75 for its sales tax.
B)
This is the same for loan.
3350x0.084=281.40 he will pay for loan.
C)
Now add it all up. 3350+217.75+281.40=3849.15
Answer:
The correct answers are:
a. $217.75!
b. $281.40!
c. $3,849.15!
Step-by-step explanation:
a. Find the sales tax by multiplying the price by its percentage (6.5%, 0.065 in decimal form)
3,350 x 0.065=217.75
so the sales tax is $217.75
b. This is the same as finding tax. Find the loan by multiplying the original price by the percentage (8.4%, 0.084 in decimal form).
3,350 x 0.084 = 281.40
so the loan is $281.40
c. This time, sum the original price with both the loan and sales tax.
3,350 + 217.75+ 281.40= 3849.15
so the total cost for the new tractor is $3,849.15
So there you have it. You have your answers right here. Hope this helps! Be sure to mark this as brainliest!
;)
PLEASE NEED HELP ASAP
If 120% of a is equal to 80% of b, then what is the value of a+b in terms of a and b?
Answer:
120/100 a = 80/100 b
12/10 a = 8/10 b
10 (12/10) a = 10 (8/10) b
12a= 8b
3a= 2b
a+b in terms of a
b = 3/2×a
a+ 3/2×a = 5/2×a
a+b in terms of b
a = 2/3×b
b + 2/3.b = 5/3×b
an angle measure 23 degrees more than the measure of its complementary angle . what is the measure
Answer:
67 degrees or 113 degrees.
Step-by-step explanation:
The other angle is 67 degrees because a complementary angle adds up to 90 degrees. It could also be 113 because that is 23 degrees more than a complementary angle.
What is the distance between 32 and -67 on a number line?
The answer is 99
-67-32=-99
distance can't be negative so its 99
What is the horizontal or vertical distance between the points (4 -11) and (15, -11)?
A. vertical distance of 19 units
A. vertical distance of 19 units
B.horizontal distance of 0 units
B. horizontal distance of 0 units
C. horizontal distance of 11 units
C. horizontal distance of 11 units
D.vertical distance of 11 units
D. vertical distance of 11 units
Ms. Sacco needs to have her car repaired, but she does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Sacco’s budget? *
A. 140x ≤ 375
B. 40 + 100x > 225
C. 100 + 40x ≤ 375
D. 100 + 40x > 375
Answer:
I believe it is C
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A sports apparel company surveyed the market about the size of T-shirts people most frequently buy, small, medium, large, or extra-large. The
table shows the survey results.
T-Shirt Size Number of responses
small
11
mediurn
37
large
83
extra-large
19
To help Its sales, the company should focus on producing size
T-shirts. Approximately % of T-shirts the company
makes should be medium and large T-shirts to match the market preference. If the total number of T-shirts sold in a month is 45,000,
of these will likely be size small.
Answer:
To help Its sales, the company should focus on producing Large
T-shirts. Approximately 80% of T-shirts the company
makes should be medium and large T-shirts to match the market preference. If the total number of T-shirts sold in a month is 45,000, 3,300
of these will likely be size small.
Step-by-step explanation:
In the survey, Large t-shirts are most frequently bought so they should be the primary focus if the company is trying to make more money.
To find the percentage of shirts that the medium and large shirts make up, first you find the total amount of shirts (11+37+83+19=150), then you will find how many mediuma and large shirts (37+83=120). Percentage is (120/150)*100=80%
To find the number of small shirts you can set up a proportion.
[tex]\frac{11}{150} =\frac{x}{45,000}[/tex], then cross multiply
150x=11*45,000
150x=495,000
x=3,300
Use the Distributive Property to simplify the expression 8(5x−9)
Answer:
Step-by-step explanation:
8(5x - 9)
= 8(5x) - 8(9)
= 40x - 72
Hope it helps :)
How do you finish this math equation?
3≤7+g
g≥ ?
Answer:-4
Step-by-step explanation:
Answer:
3 ≤ 7 + g
7 + g ≥ 3
g ≥ 3 - 7
g ≥ -4
B. Now, assume that all of these circles have a radius of two. Then, calculate the ratio of a proximate circumference to the diameter.
Answer:
I think b is the answer hopefilly
what is 21 divided by 3 + (8 -2 +2)
Answer:
15
Step-by-step explanation:
21/3+(8-2+2)
PEMDAS
In the parentheses, we can easily learn that the minus two plus two cancels each other out.
21/3+8
7+8
15
If anything is confusing, let me know and I'll explain it more.
This pattern follows the rule divide by 3, then add 7. What are the next two numbers?
294, 105, 42, ________, ________
Question 8 options:
14, 7
21, 14
38, 34
49, 56
Answer:
21, 14
Step-by-step explanation:
by dividing 3 from 42 you get 14, and by adding 7 you get 21. And finally by devifing 3 from 21 you get 7 and by adding 7 to 7 you get 14.
If you bought 12 cookies (each cookie for 0.99) how much more would each cookie cost than if you bought them by the dozen? ( A dozen pack is for 6.55)
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
What is the area of one of the semicircles at either end
The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle
What is the distance around one of the semicircles at either end of the soccer field
What is the distance around the inner lane of the track the lane closest to the soccer field
PLEASE HELP!
asap
Answer:
Given : The high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide.
The school decided to cover the semicircles with grass to create a space for stretching and other activities.
To Find: area of one of the semicircles at either end of the track
How many square yards of grass will the school need to cover the entire circle?
Solution:
Diameter of semicircle = 70 yards
Radius of semicircle = 70/2 = 35 yards
Area of semicircle at one end = (1/2)πr²
= (1/2)(22/7)35²
= 1,925 sq yards
area of one of the semicircles at either end of the track = 1,925 sq yards
square yards of grass will the school need to cover the entire circle
= 2 x 1,925
= 3850 sq yards
distance around one of the semicircles at either end of the soccer field = πr = (22/7) 35 = 110 yards
distance around the inner lane of the track = 100 + 100 + 110 + 110
= 420 yards
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Hope this Helps
EXPERT HELP: Some species can reproduce sexually or asexually. In which two situations is sexual reproduction advantageous?
A. When no individuals of the same species are available for mating
B. When many individuals of the same species are available for
mating.
C. When the individuals live in a stable environment in which they
thrive.
D. When the individuals live in an environment that suddenly
changes.
answer: B,C
Step-by-step explanation:
to be able to reproduce sexually you need enough of the same species to mate with. A says no individuals to reproduce with but for that it would be better if they were asexual. D says they change living environment and that usually changes the amount of same species animals that are around to reproduce with.