Step-by-step explanation:
y = -3x² + 12x - 33
y = -3[x² - 4x + 11]
y = -3[(x - 2)² + 7]
Since the coefficient of x² is negative, the curve concaves downwards and has an absolute maximum value. This happens when x = 2, y = -21.
Therefore the correct option is A.
A rose bush grew from 24 inches to 36 inches in two weeks. What was the percent increase?
Answer:
50 percent increase
Step-by-step explanation:
Answer:
50% increase
Step-by-step explanation:
36-24=12
12/24=.50
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
f(x) = 85(1 – 0.25)x
f(x) = 85(1 + 0.25)x
f(x) = 85(0.25)x
f(x) = (85 – 0.25)x
9514 1404 393
Answer:
(a) f(x) = 85(1 – 0.25)^x
Step-by-step explanation:
The growth rate is -25%, so the growth factor is 1-25% = 1 - 0.25.
Each increase in the number of previous owners causes the value to be multiplied by this growth factor, so the overall multiplier is (1 -0.25)^x
The value is the initial value times this multiplier:
f(x) = 85(1 -0.25)^x . . . . matches the first choice
The function that represents the situation is f(x) = 85 (1 - 0.25)ˣ
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Let's call the resale value of the textbook after x owners as f(x). We know that the resale value decreases by 25% with each previous owner. This means that after the first owner, the resale value will be 75% of the original value.
After the second owner, it will be 75% of 75% (or 56.25%) of the original value.
Similarly, after the third owner, it will be 75% of 75% of 75% (or 42.1875%) of the original value, and so on.
Using this information, we can write the function f(x) as:
f(x) = 85 (0.75)ˣ
f(x) = 85(1 - 0.25)ˣ
where 85 is the original value of the textbook (when x = 0), and (0.75)ˣ represents the percentage of the original value after x owners.
Therefore, the function that represents the resale value of the textbook after x owners is described as f(x) = 85 (0.75)ˣ.
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40 miners need to ride the elevator to the bottom of the mine. The elevator can hold 9 miners at a time. How many miners will be in the elevator on its last trip?
Answer:
the answer is 4
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(10, 7) (2, 1)
Answer:
(6,4)
Step-by-step explanation:
Midpoint=((x1+x2)/2 ,(y1+y2)/2)
((10+2)/2 ,(7+1)/2)
(6,4)
x1=10
x2=2
y1=2
y2=1
NEED HELP ASAP PLEASE!!!!!!!!
Step-by-step explanation:
PQR = PRQ = 2x ° ( base angle of an isosceles are equal ) .
therefore
PQR + PRQ + QPR = 180° ( sum of angles in a triangle )
2x + 2x + 40 = 180
4x + 40 = 180
subtract 40 from both sides
4x = 140
divide through by 4
x = 35°
Find the area of the rhombus! Please help!
Answer:
100m
Step-by-step explanation:
First, find the area of one triangle. Use l*w/2 to do that.
10*5=50
50/2=25
Multiply this by 4 to get the total area
25*4=100
Have a good day!
what is the value of y for which a ll b
Answer:
110
Step-by-step explanation:
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answer:
16:60 = 4/15
Step-by-step explanation:
Fill in the table using this function rule.
y=29-4x
Answer:
x.1 y.25
x.3 y.17
x.5 y.9
x.6 y.5
Step-by-step explanation:
To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?
A.) Henry’s cousin practices with the choir
B.) Henry’s cousin has a good singing voice
C.) Henry is in the choir
D.) Henry’s cousin went to an audition
Answer:
Henry's cousin has a good singing voice
Step-by-step explanation:
Answer:
D: Henry’s cousin went to an audition.
Step-by-step explanation:
I took the test
................................................
....
Answer:
HAVE A GOOD DAY :)))))))) <3
Step-by-step explanation:
Jeremy can type 220 words in 4 minutes. That means he can type how many words per minute?
Answer:
55
Step-by-step explanation:
220 divided by 4, is 55.
help asap I have 2 min
Evaluate the following using a nmber line:-4+-5+3
Answer:
-6
Step-by-step explanation:
-4+-5=-9
-9+3=-6
Help get brainiest if u help
Answer:
32ft by 20ft
Step-by-step explanation:
8x4 and 5x4
Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
Where's the graph? I need the graph to answer
Approximately 175 cups of tea can Christina expect to sell during the eighth hour.
We need to find how many cups of tea can Christina expect to sell during the eighth hour.
How to interpret the graph?To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.
From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.
Therefore, 175 cups of tea were sold.
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B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is
Answer: (2x + 3) • (x-1)
Step-by-step explanation:
1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
(5x - 5) = 5 • (x - 1)
if I have 130 of something and I need 200 how many more do I need
Answer:
70
Step-by-step explanation:
200 - 130
What is the probability that Mark and Bobby will both choose mushrooms?
Answer: choose mushrooms out of what?
Focus Question: How do you determine whether a real-world context should be
represented by a linear function or an exponential function?
Answer:
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear (exponential). If your equation has no exponents, it is linear.
ASAP!!!!!!!!!!!! I NEED HELP!!!!! I WILL MARK BRAINLIEST!!!!!!!
Find the value of x in the isosceles triangle shown below.
Choose 1 answer
A. x = 3
B. x = square root of 26
C. x = 6
D. x = square root of 52
Answer:
x=6
Step-by-step explanation:
326 ÷ 53 Then, check using multiplacation.
Answer:
the answer is 6,150
Step-by-step explanation:
Sorry if im wrong
Answer:
it is 6.150
Step-by-step explanation:
divide 360 its groups of 53 and you get 6.150
be SPEEDY! Name two
perpendicular lines and two parallel lines.
what is 325 x 6 for middle school 5th grade math
Answer:
Step-by-step explanation:
1950
Answer:
1,950
Step-by-step explanation:
I plugged the numbers into a calculator but you can also do it the long way by multiplying 6 to each part of 325.
I need help with this
Answer:
14
Step-by-step explanation:
add
PLEASE HELP!! THANK YOU!!
Step-by-step explanation:
i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D
Answer:
(0,-2)
Step-by-step explanation:
Parallelograms have parallel lines and equal opposite lines.
You can count.
For Ex: A is 1 above and 5 to the left of B.
So D should be 1 above and 5 to the left of C.
C is at (5,-3)
Go up 1 and left 5 and you get (0,-2)
Francis used the distributive property of multiplication to help him solve the equation 6 x 2 = ________. Francis did not get the same answer for each side of the expression. Explain the steps required to correct his mistake. 6 x 2 = (3 x 2) + (4 x 2) 12 = 6 + 8 12 = 14
Solution :
The distributive property of multiplication :
It is given that we have to find the solution for the below expression using the distributive property of multiplication,
So 6 x 2 = __________
Using distributive property, we can write :
⇒ 6 x 2 = 12
⇒ (3 + 3) x (2 ) = 12
⇒ (3 x 2) + (3 x 2) = 12
⇒ 6 + 6 = 12
⇒ 12 = 12
Match each expression to its simplified answer
9x-3y + 5y
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
9x - 3y + 5y
Step 2: Simplify
Combine like terms (y): 9x + 2yDuring the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?
Answer:
The percentage increase in sales is 54.45%
Step-by-step explanation:
Here, we want to calculate the percentage increase
mathematically the increase in sales is 17-11 = 6
The percentage increase is ;
6/11 * 100% = 54.45%