Answer:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Step-by-step explanation:
The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]
Therefore,
[tex]x = 0[/tex]
[tex]x = -8 \implies x + 8 = 0[/tex] (twice)
[tex]x = 7 \implies x -7 = 0[/tex]
Write the polynomial as a product of its factors:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and 25 cents for each mile over 250. for what number of miles traveled in one day would the unlimited mileage plan save Lia money?
Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
It cost faith $9.10 to send 91 text messages. How many text messages did she send if she spent 17.60?
what will 5: ? if 1:9
Answer:
5:45
Step-by-step explanation:
because you multiply 5 by 9
Please Mark brainliest i need 3 more
What’s the correct answer for this question?
Answer:
Step-by-step explanation:
y=-5/2x-8
The values shown represent the y-values that correspond to x-values from x = 1 through x = 5.
What is the rate of change for the associated linear function?
A 2
B 5
C 9
D 10
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 40 miles per hour. Find an expression for their distance apart d (in miles) at the end of t hours.
Step-by-step explanation:
the car distance to the intersection will be
30t (30 miles for every hour).
the truck distance to the intersection will be
40t (40 miles for every hour).
the distance between the car and the truck will always be the Hypotenuse of a right-angled triangle with the legs being the actual distances from the starting intersection.
so, we use Pythagoras :
d² = (30t)² + (40t)² = 900t² + 1600t² = 2500t²
d = sqrt(2500t²) = 50t
so, their distance will increase 50 miles every hour.
Find the apothem of a regular 12-gon (12-sided polygon) if each side is 4.2 cm, and has
an area of 197 sq. cm.
Answer:
7.8 cm
Step-by-step explanation:
The relevant formula is ...
A = 1/2aP . . . . where a is the apothem, and P is the perimeter.
For a regular 12-gon the perimeter is 12 times the side length, so we have ...
P = 12s = 12(4.2 cm) = 50.4 cm
Then the apothem is found from ...
197 cm² = (1/2)a·(50.4 cm)
a = 197/25.2 cm ≈ 7.81 cm
The apothem is about 7.8 cm.
__
Additional comment
A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...
A = ns²/(4·tan(180°/n))
Similarly, the apothem will be ...
a = s/(2·tan(180°/n))
A spinner contains four sections red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is
given as S = (RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY). If the random variable is "yellow
(Y)," which of the
following is the correct probability distribution?
Answer:
its A
Step-by-step explanation:
The solution is, the correct probability distribution is 1/16.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
Given that,
spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}.
If the random variable is “yellow (Y),” let us first find the values that Y can take.
From the sample space given above, we find that Y can take only 3 values 0,1,2
In the sample space of 16 entries, Y occurs 0 times in 9 times
1 time in 6 times and 2 times 1 time
Hence probability = no of favouable outcomes/number in sample space
So
P(Y=0) = 9/16
P(Y=1) = 6/16 = 3/8
P(Y=2) = 1/16
Hence, The solution is, the correct probability distribution is 1/16.
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I need the answer asap
a = 168⁰
a + x = 180⁰
168⁰ + x = 180⁰
x = 180⁰ - 168⁰
x = 12⁰
Joel was looking at the bottom of a three-dimensional shape and saw a rectangle. Which three-dimensional shape could he not have been looking at?
A. rectangular pyramid
B. rectangular prism
C. cube
D. triangular pyramid
Answer:
d have a great guys :D
Step-by-step explanation:
Look at the picture I need your help
x = ~29 ft
h = ~34 ft
(explanation in image)
Brainliest if correct
Answer:
v = 176
Step-by-step explanation:
Since a fraction is essentially the same thing as dividing one number by another, we can multiply 44 by 4, the denominator of the fraction we are finding the numerator for, and get 176. This fraction is already in negative form, so we don't need to do anything else.
Subtract 10x^2– 10x + 2 from - 8x^2 + 7x–7
here is your answer...
2x^2-3x-5
let f(x)=|2x+10| and g(x)=|2x-24|. find all the values of x for which f(x)=g(x).
Answer:
8.5
Step-by-step explanation:
two cases:
1) 2x + 10 = 2x - 24, 10 = -24, impossible!
2) 2x + 10 = -(2x - 24)
2x + 10 = -2x - 24
4x = 34
x = 34/4 = 17/2 = 8.5
In the figure below, KL=9 and JK=4. Find JL.
Answer:
JL → 13
Explanation:
JL → JK + KL
JL → 4 + 9
JL → 13
JL be x
JK+KL=JLx=9+4x=13JL=13
What is the measure of angle 1?
Answer:
50°
Step-by-step explanation:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
1/4•8/9•(-3/5)
thank you!
Answer:
-2/15
Step-by-step explanation:
because you first do 1/4 times 8/9 = 8/36
then you do 8/36 times -3/5 which then after you simplify you get -2/15
please mark brainliest i need 2 more!
Answer:
[tex] - \frac{2}{15} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} \times \frac{8}{9} \times \frac{ - 3}{5} [/tex]
[tex] \frac{1}{1} \times \frac{2}{3} \times - \frac{1}{5} [/tex]
[tex] - \frac{2}{15}[/tex]
0.0008 in standard form
Answer:
8.0*10^-4 in standard form or scientific notation.
........................................................................................................................................................................................................................................................................................................
Answer:
what in the world is this?
plssss help!!!!! #2 #3 #4
Answer:
See belowStep-by-step explanation:
#4Area of triangle:
A = 1/2bhA = 1/2*20*48 = 480 ft²#5Area of rectangle:
A = abA = 6.25*4.5 = 28.125 ft²#6The recipe calls for 1/3 cup of milk.
Half of the recipe requires:
1/2*1/3 = 1/6 cup of milkFind the volume of the irregular figure 1cm 2cm 8cm 1cm 3x 3pm 5cm
should be easy points
Answer:
D
Step-by-step explanation:
2 1/8 + 1 1/2 + 1 3/4 = 5 3/8
Answer:
d
Step-by-step explanation:
got it right on the web.
If f(x) = 6x - 9 and g(x) = x + 6,
which statement is true?
Click on the correct answer.
6 is not in the domain of fog.
6 is in the domain of fºg.
A force of 128 lb is required to hold a spring stretched 2 ft beyond its natural length. How much work W is done in stretching it from its natural length to 9 inches beyond its natural length
We have that the workdone in stretching natural length to is mathematically given as
W=9/2lbft
Workdone in stretching natural lengthQuestion Parameters:
A force of 128 lb is required to hold a spring stretched 2 ft beyond its natural length.Stretching it from its natural length to 9 inches beyond its natural lengthGenerally the Hookes equation for the Force is mathematically given as
F=Kx
Where
3.2lb=2ft*k
Thereofore
k=16
Force becomes
f=kx
f=16x
Hence
[tex]W=8[x^2]^{3/4}_{0}[/tex]
W=9/2lbft
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What is the best estimate of the figure below?
Answer:
28.5 in²Step-by-step explanation:
It is assumed you need to find the area of the figure.
The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.
The area of the figure:
A = 6*4 + 1/2*3*(6/2)² = 24 + 4.5 = 28.5 in² (put π = 3 just for estimating the area)Of the 44 players attributed to a playwright 11 are comedies 17 are tragedies and 16 are histories if one play is selected at random find the odds against selecting a tragedy
Step-by-step explanation:
since the total number of players is 44, the Universal set will also be 44.
let C be the set for Comedy
let T be the set for Tragedy
let H be the set for Histories
ξ = { 44 }
C = { 11 }
T = { 17 }
H = { 16 }
probability T = (17/44)
odds of selecting T = probability not T
= 1 - probability T
= 1 - ( 17/44)
= 27/44
you need to give the answer as a ratio of odds of selecting T against chances of selecting T;
if out of 44 players, the chances of not selecting T is 27 and the chances of selecting T is 17, then:
odds against selecting random is, 27: 17
that's the answer. hope this helps you!
-s.
T
✓
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Here is a problem and its solution.
Explain how to go from the problem to the solution.
Be as detailed as possible.
Use the sketch tool if it helps you show your thinking.
Determine the value of this expression.
5
.
8
5
Sub
Solution
28
I will mark the brainliest whoever answers first :D
5
Answer:
First you need to make 3 1/2 into a improper fraction so you multiply 3 x 2 and then add 1 which is 7/2. Next you need to divide it by 5/8. So to divide fraction you have to do K.C.F. (Keep, change, flip). So you keep the 7/2 change the division symbol to a multiplication symbol. and then flip the 5/8 into 8/5. So the whole problem would be 7/2 x 8/5. next you just multiply.
7 x 8 = 56
2 x 5 = 10
next you just need to simplify into the smallest fraction and you can simplify both by 2. So 56 / 2 = 28 and 10 / 2 = 5. That's how the solution is 28/5.
Also, the value of the expression 5 x 8/5 is 25/8.
Answer:
make 3 1/2 into a improper fraction by multiplying the 3 and the 2 in the denominator together and then add 1 in the numerator to get 7 then make it 7/2 since the 2 was the denominator in the mixed fraction. Then keep the 7/2 the same turn the division symbol to a multiplication symbol then turn the 5/8 into 8/5 by flipping it then multiply. 7×8= 56 2×5=10 now you have 56/10 so you need to simplify. 2 is common between 56 and 10 so you multiply 56/10 and 2 together. 56÷2= 28 and 10÷2= 5 so now it is 28/5.
Determine mrs chaukes annual income if she earns R32040 per month
[tex]\huge\fbox{Answer ☘}[/tex]
Mrs. Chaukes' income for 1 month = ₹ 32,040
Mrs. Chaukes' income for 12 months or 1 year = [tex] \bold\blue{32040 \times 12 = ₹ 3,84,480}[/tex]
hope helpful ~
Mrs. Chauke's annual income if she earns R32 040 per month is
R384 480
The given parameters are:
Hourly rate = R180
Work time = 8 hours a day
Monthly income = R32040
There are 12 months in a year.
So, the annual income is:
Annual = 32040 * 12
This gives
Annual = 384480
Hence, Mrs. Chauke's annual income if she earns R32 040 per month is
R384 480
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Find the perimeter of the figure.
O 129 in.
O 1975 in.
O 179 in
O 89.5 in.
Answer: C
Step-by-step explanation:
Assuming this is a rectangle, P=2l+2w.
Substituting in the dimensions,
P=2(39.5+50)=179
Five sand pails aligned side by side contain a total of 100 seashells. Each bucket contains two seashells fewer than the bucket to its left. How many seashells are in each bucket?
a.
24, 22, 20, 18, 16
c.
20, 18, 16, 14, 12
b.
30, 28, 26, 24, 22
d.
26, 24, 22, 20, 18
Answer:
A
Step-by-step explanation:
Because it said 100 sea shells and 2 fewer and each bucket.
Bucket B contains 130 which is way more.
Bucket c contains only 80
Bucket D contains 110 so it has to be A.
Have a great day! :)