Answer:
A.) Function one has a larger maximum at (4,1)
Step-by-step explanation:
The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A function can be regarded as a computer, which is helpful.
Given 1 function,
f(x) = -x² + 8x - 15
f(x) = -(x² - 8x + 15 )
f(x) = - [(x - 4)² - 16 + 15 ]
f(x) = -(x-4)² + 1
So vertex will at ( 4,1 )
In function 2,
f(x) = −x² + 2x − 3
f(x) = - [ x² - 2x + 3 ]
f(x) = -[ (x-1)² - 1 + 3 ]
f(x) = - (x-1)² - 2
So vertex will at ( 1, -2 )
Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2
Hence Function 1 has the larger maximum at (4, 1).
For more about the function
brainly.com/question/23712366
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Ben has a number cube with sides numbered 1 through 6. He rolls the number cube once.
What is the probability of rolling an odd number?
Answer:
1/5
Step-by-step explanation:
find the angle measure x in the following figures
I’ll give points + brainalist for the correct answer
Answer:
B: $14.50
Step-by-step explanation:
8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.
Someone help me in this one now please
Answer:
I think 300 plz don't crit me if I got it wrong
Step-by-step explanation:
?
What is cos 0if sec 0 = 2?
V2
o 1
2
12
2
Answer:
If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.
And the cot (60°) = 1/√3 = √3 /3
And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)
Can somebody help me with these two pls
Answer:
Step-by-step explanation:
consider this data set.
18, 11, 4, 9, 2, 3, 5
which box plot displays the data shown?
Answer:
d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Multiple choice
1. Cube
2.Triangular pyramid
3.Triangular prism
4. Rectangular prism
Anyone know this......
The general equation is given as,
Un+1 = (Un)^3+2
here, n = number of the sequential entries like 0,1,2,3... so on.
so we get here as,
Uo = -3 , so we find U1 and U2
U1 = n+1 = 0+1
so,
===> U1 = (-3)^3 +2
===> U1 = -27 + 2 ==> U1 = -25
now, U2
U2 = n+1 = 1+1
so,
U2 = (-25)^3 + 2
U2 = -15625 + 2 ===> U2 = -15623
hence,
U1 = -25 and U2 = -15623
Jackie bought a CD for $11.50. The sales tax is 6%. How
much did Jackie pay for the CD, including the sales tax?
$12.19
before the tax price is $11.50
and %6 is equal to $0.69
therefore if you add those together you'll get an answer of $12.19
Find P (R|Q). A. 3/11 B. 4/11 C. 7/3 D.
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
(MATH) (6) ((PHOTO))
label is ft
Answer:
6 feet
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
15 feet × 8 feet × H = 720 feet ³
120H = 720
H = 720 ÷ 120
H = 6 feet
Choose the theorem that proves these triangles are congruent.
Answer:
ASA
Step-by-step explanation:
If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.
Find the value of (1/9)3
PLZ HELP!!
Answer:
1/3
Step-by-step explanation:
HELP MEEE IM TIMED. THANK UUU
Answer:
It's the third option, y = [tex]\frac{1}{3}[/tex] x + 2
Step-by-step explanation:
It is rise over run.
This means you go up one, then go three right.
Answer:
Read below please :)
Step-by-step explanation:
when writing an equation, you use rise over run, or, [tex]\frac{rise}{run} or ( \frac{y}{x} )[/tex], so you'd get 3/1 (3) + 6/2 (3) as you can see, y = half of x. So, because you know what x(6), and what y(3) is, just imput the answers and see which makes sense.
Hope this helps :)
It's the 3rd
Melanie earns $97.50 in 6 hours. Earl earns $296.00 in 20 hours. Who earns the higher rate per hour? Explain your answer.
The expression for the nth term in a sequence is 6n-3. Write the first 4 terms.
Answer:
3, 9, 15, 21
Step-by-step explanation:
6n-3
n = 1: 6(1) - 3 = 3
n = 2: 6(2) - 3 = 9
n = 3: 6(3) - 3 = 15
n = 4: 6(4) - 3 = 21
40 POINTS HALP
Find the value of x, y, and z
Answer: x= 108°, y=36°, and z= 30°
Step-by-step explanation: 72 and 3y make a supplementary angle which is equal to 180°.
(3z+18) and x are corresponding angles so they're equal to each other.
3. A website allows users to download individual songs or whole albums.
All songs cost the same price to download. All albums cost the same price
to download, Karim pays $30 to download 5 songs and 2 albums.
Kimberlyn pays $26 for download 3 songs and 2 albums. What is the cost
to download 1 song? 1 album?
Answer:
Each song costs $2 and each album costs $10.
Step-by-step explanation:
Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:
5X + 2Y = 30
3X + 2Y = 26
(30 - 26) / (5 - 3) = X
4/2 = X
2 = X
Therefore, each song has a cost of $ 2.
Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:
5x2 + 2Y = 30
10 + 2Y = 30
2Y = 30 - 10
2Y = 20
Y = 20/2
Y = 10
Therefore, each album has a cost of $ 10.
Can somebody please help me with question number 1
Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
A baking club sold 1/3 of thier cupcakes in the morning and 1/6 of thier cupcakes in the afternoon. The baking club had 360 cupe cakes at the beginning of the day. how many cupcKes did they sell in the morning?
PLEASE HELP MEEE I GAVE 50 POINTSSS
Answer:
1. y = x + 9
a. yes, b. no, c. yes2. y = 4x
a. yes, b. no, c. no3. y = -1/3x
a. no, b. yes, c. no4. x = y + 4
a. no, b. no, c. yes5. x + 2y = 10
a. no, b. yes, c. noFive years ago alex was 12 times as old as tom alex is 41 now how old is tom now
Step-by-step explanation:
I think this will help you. Thanks.
$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
Pls help me with this
Answer:
3.7 pi
Step-by-step explanation:
2 pi r( n/360)
22 pi(60/360)
3.7 pi= 11.6