Answer:
58 miles per hour
Step-by-step explanation:
Simplify by dividing 203 by 3.5 to get the simplified unit rate
If f(x)=13x3−4x2+12x−5 and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is
The correct format of the question is
If f(x)= [tex]\frac{1}{3}x^3 -4x^2+12x -5[/tex] and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is
Answer:
The absolute maximum value of the function F(x) occurs when x is 9
Step-by-step explanation:
F'(x) = [tex]x^2 -8x +12= 0[/tex]
= (x-6)(x-2) = 0
x = 2,6
so we have boundary points 0 , 9 and 2,6
The value of function at these four points
x = 0 2 6 9
F(x) = -5 17/3 -5 22
So the absolute maximum value of the given function is x = 9 and F(x) is 22.
The absolute maximum value of the function f occurs when x is 9 and this can be determined by differentiating f(x) and then equating it to zero.
Given :
[tex]\rm f(x)=\dfrac{1}{3}x^3-4x^2+12x-5[/tex]The domain is the set of all x such that 0≤x≤9In order to determine the absolute maximum value of function f(x), differentiate f(x) and then equate it to zero.
[tex]\rm f'(x)=\dfrac{1}{3}\times(3x^2)-8x+12[/tex]
Now, equate the above equation to zero.
[tex]x^2-8x+12 = 0[/tex]
Factorize the above quadratic equation.
[tex]x^2-6x-2x+12=0[/tex]
x(x - 6) - 2(x - 6) = 0
(x - 6)(x - 2) = 0
Now, determine the value of f(x) at x = 0, 2, 6, 9
f(0) = -5
f(2) = 1/3.(8) - 4(4) + 12(2) - 5
f(2) = 17/3
f(6) = 72 - 144 + 72 - 5
f(6) = -5
f(9) = 243 - 324 + 108 - 5
f(9) = 22
So, the absolute maximum value of the function f occurs when x is 9.
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100 points
whats 9 times 3 plus 3 divided by 2
Answer:
hi
Step-by-step explanation:
28.5
Answer:
15
Step-by-step explanation:
17 What are the x-intercept to the function f(x)=2x-31+2 ?
A {0}
B{-5/2,5/2}. C{ } D{-5/2,-1/2}
Answer:
See below
Step-by-step explanation:
It seems to be a typo.
[tex]f(x)=2x-31+2[/tex]
[tex]f(x)=2x-29[/tex]
The x-intercept is when the function is equal to zero. Once the function is linear, there will be one x-intercept.
[tex]0=2x-29[/tex]
[tex]x=\dfrac{29}{2}[/tex]
Once there are alternatives with two values, your function is probably a quadratic function.
[tex]f(x)=2x^2-31x+2[/tex], but the roots are not in the alternatives.
can someone help me with this question
Answer:
the answer is B i think
Step-by-step explanation:
Answer:
IN field B he has 6 more gallons then in felid A.
Step-by-step explanation:
Given the function
g(x) = 2x + 4 find 9(2), 9(4), and g(10)
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
The answer is Angle OKL.
You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?
Answer:
Time to land on 11ft is 4.25 seconds
Step-by-step explanation:
Given
[tex]y = 300 - 16t^2[/tex]
Required
Solve for t when height is 11ft
This implies that [tex]y = 11[/tex]
So: substitute 11 for y in [tex]y = 300 - 16t^2[/tex]
[tex]11 = 300 - 16t^2[/tex]
Collect Like Terms
[tex]16t^2 = 300 - 11[/tex]
[tex]16t^2 = 289[/tex]
Express both sides as squares
[tex]4^2 * t^2 = 17^2[/tex]
[tex](4t)^2 = 17^2[/tex]
Take square roots of both sides (ignore negative)
[tex]4t = 17[/tex]
Solve for t
[tex]t = \frac{17}{4}[/tex]
[tex]t = 4.25[/tex]
Hence, time to land on 11ft is 4.25 seconds
Mrs. Smith bill at red lobster was $42.20 before tax. The sales tax was $2.21 and mrs smith also included in $8 tip. How much money did she spend at red lobster?
Answer: $52.41
Step-by-step explanation:
Cost before tax = $42.20
Sales tax = $2.21
Tip = $8
The total amount spent by Mrs Smith at Red Lobster will be:
= Cost before tax + Sales tax + Tip
= $42.20 + $2.21 + $8
= $52.41
Solve for X. x/4+9=5
Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(
-6 3/5 - (-7 4/15) + 2 /15
Heloooooppppo
Question 2 of 10
What happens when a country's central bank increases reserve requirements
for banks?
A. Banks are forced to set aside more of their money instead of
lending it.
B. Banks must pay the government interest on all cash they keep on
hand.
C. Banks must pay a higher interest rate to borrow money from the
government
D. Banks are required to sell all of their treasury securities on the
open market
SUBMIT
Answer: Banks are forced to set aside more of their money instead of lending it.
When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
What are reserve requirements?It is the amount of funds where the bank should hold the reserve to ensure for meeting out the liabilities when the withdrawals should be done. It is applied by the central bank to rise or reduce the money supply and impact the rate of interest.
Hence, When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
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I need help please help me.THANKS!!
Answer:
A. 42, 120, 162
Step-by-step explanation:
27 x 6 = 162
or
42 + 120 = 162
Use common factors to write two fractions equivalent to 6/42
Answer:
1.) 1/7 2.) 3/ 21= 1/7
Step-by-step explanation:
these are some fractions that are equivalent
Answer:
3/7 and 1/7
Step-by-step explanation:
HELP QUITCKLY
combine like terms to create an equivalent expression to 8(8+7J+8).
Answer: 56j + 128
Step-by-step explanation:
Answer:
56J+128
Step-by-step explanation:
8(8+7J+8)
64+56J+64
56J+128
What is the vertex of y = -3(x + 5)+ 7
O (5, 7)
O (-5, 7)
O (5, – 7)
NEED HELP PLS
Answer:
Its (-5,7)
Step-by-step explanation:
When you plug it into a calculator the vertex point ends up in (-5, 7)
For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.
Answer:
612.44
Step-by-step explanation:
Given the linear regression equation between SAT score and GPA
y = 410.54 + 67.3x
Where
y = SAT math score ; x = GPA
THE SAT math score for Jessica who has a GPA of 3.00
x = 3
y = 410.54 + 67.3(3)
y = 410.54 + 201.9
y = 612.44
PLEASE HELP!! Geometric Series
Answer:
Step-by-step explanation:
[tex]S_{n}[/tex] = [tex]\frac{a_{1} (1-r^{n} )}{1-r}[/tex]
[tex]S_{75}[/tex] = [tex]\frac{10(1-0.9^{75} }{1-0.9}[/tex] = 10(1 - 0.00037) / 0.1 = 99.96
Use the figure. Identify a segment skew to GH
Answer:
the answer is BE
Step-by-step explanation:
skews are lines that dont intersect or arent parallel to each other
in that case BE or CF are correct but BE is the only answer choice that works... hope it works
The line segment skew to GH is BE.
What are skew line segments?Skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron.
Given is a rectangular prism, with vertices, A, B, C, D, E, F, G and H
We are asked to identify a line segment which is skew to GH,
In the given options, EF, AD are BC are parallel to GH hence not skew, but line segment BE is neither parallel nor perpendicular to GH.
Hence, the line segment skew to GH is BE.
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Which ordered pairs are solutions to the inequality 4x + y > -6?
Select each correct answer.
(-1, -1)
(0, – 9)
(4, -20)
(-3, 6)
(2,0)
Answer:
(-1,-1)(4,-20)(2,0)
Step-by-step explanation: Just fill in the x and y
Evaluate each value expression for the given value of the variable : 33-7w +6 when w=4
Answer:
11
Step-by-step explanation:
33-(7*4)+6
33-28+6=11
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a showing? (Do not include labels with your answer, just type in the number.)
The answer would be 3900 money
PLEASE HELP
ONLY ANSWER IF YOU KNOW
A: Speed is Independent as it can be anything with no restrictions. Gas mileage is dependent as it relies on the value of speed for its value to be decided.
B: The first letter of speed is "S" so it can represent the variable. The first letter of mileage is "M" so the variable can be represented by that letter. It really can be any letter.
C: no context
D: no context
A: Speed is pretty cool becuase speed has no restrictions.
B: It can be any number.
HELP ! What is the negative reciprocal of 85 ? And how do you solve it ? I’ll give you BRAINLY !
Answer:
-1/85
Step-by-step explanation:
find the reciprocal of 85: to find a reciprocal you switch the place of the numerator and the denominator so the reciprocal of 85/1 is 1/85
add a negative sign to it: -1/85
hopefully this helps :)
Answer:
0.11
Step-by-step explanation:
You divide 1 by 85
I NEED HELP ASAP PLEASE HELP ME
On Melissa's 6th birthday, she gets a $4000 CD that earns 6% interest, compounded quarterly. If the CD
matures on her 16th birthday, how much money will be available?
Answer:
On melissa's 6th birthday, she gets a $4000 cd that earns 3% interest, compounded quarterly. If... | like | dislike ... The amount accumulated in a certificate of deposit (CD) is found using the compound interest formula as a CD also earns compounding interest. ... The number of years between the 6th and 12th birthdays is 6
Step-by-step explanation:
There will be $41142.87 available on Melissa's 16th birthday.
What is compound interest?Interest accrued on both the principal sum of money and the interest already earned.
The formula for compound interest is p(1+r/100)ⁿ - p
Where p is principal, r is rate and n is time.
Given that,
Amount that Melissa gets on her 6th birthday = $4000
Rate of interest = 6% compounded quarterly.
Melissa gets amount on her 16th birthday, time = 6 years
The amount that Melissa will get on her 16th birthday
= 4000(1+6/100)¹⁰ˣ⁴
= 4000 (106/100)⁴⁰
= 4000 x 10.2857
= 41142.87
Melissa will get $41142.87 on her 16th birthday.
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At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
Please help!
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:
the answer is 68 give the other person brainliest
Step-by-step explanation:
which of the following lies in first quadrant
Answer:
B
Step-by-step explanation:
First quadrant always has a positive and a positive
Answer:
B
Step-by-step explanation:
Just b is correct for first quadrant
Here are 2 similar rectangles
Answer: There are none to choose from
Step-by-step explanation:
