Answer:
y = 1/3 x 2 +4 x + 15
Step-by-step explanation:
y = a (x - h)2 + k
where (h,k) are the coordinates of the vertex and a is a multiplier
here (h,k) = ( - 6, 3)
y = a ( x + 6)2 + 3
to find a substitute (12,9) into the equation
9 = 18 a + 3
18 a = 9 - 3 = 6 a = 6/18 = 1/3
y = 1/3 (x + 6)2 + 3
distributing gives
y = 1/3 (x2 + 12x + 36) + 3
y = 1/3x2 + 4x + 15
Carla packed this box with 1-centimeter cubes. What is the volume of the box?
Answer:
60 cm 2
Step-by-step explanation:
Answer:
60 cubic cm
Step-by-step explanation:
i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm
hoped it helped :)
3 + 5 is ___ units from 3, in the _______ direction.
Answer:
7 unit
Step-by-step explanation:
mark me as brainliest and follow and like my answer
Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?
Is the point (0,0) part of the solution of y<-x2 +4x+5
Step-by-step explanation:
When the inequality uses < or >, it is a broken line.
For the point (0, 0) it means that x = 0 and y = 0.
Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.
Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To determine the border line of the graph of y < - x² + 4x + 5
A broken line results from the inequality using < or >.
x and y are both equal to zero at the coordinates (0, 0).
Substitute the values of x = 0 nad y = 0 in the inequality y < - x² + 4x + 5
So, (0) < (0)² + 4(0) + 5
Since (0) < (0)² + 4(0) + 5 is valid,
Thus, the coordinates (0, 0) are part of the solution.
Learn more about inequalities here:
brainly.com/question/20383699
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Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within the juvenile justice system. An article reported on a study in which offenders were randomly assigned either to Teen Court or to the traditional Department of Juvenile Services method of processing. Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period, whereas 11 of the 54 Department of Juvenile Services individuals did so. Does the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals who do so
Answer:
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
Step-by-step explanation:
Step(i):-
Given first sample size (n₁ ) = 57
Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period
First sample proportion
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]
Second sample proportion
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]
Null Hypothesis : p₁⁻ = p₂⁻
Alternative Hypothesis : p₁⁻ ≠ p₂⁻
Step(ii):-
Test statistic
[tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
where
[tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]
Q = 1 - P = 1 - 0.2612 = 0.7387
[tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]
Z = 1.4017
Level of significance ∝ =0.05
The tabulated value Z₀.₀₅ = 1.96
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
can someone help please
Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answer:
my names emily too!!!!
Step-by-step explanation:
I need help please asap
Answer:
0, 1/13, 49/100, 1/2, 11/20, 8/9, 1
Step-by-step explanation:
You know the smallest is 0, largest is 1
the middle is 1/2
49/100 is slightly smaller than 1/2 or 50/100
11/20 is slightly larger than 1/2 or 10/20
1/13 is slightly larger than 0
8/9 is slightly smaller than 1
please give thanks :)
and brainliest :)
1. Is an arithmetic sequence a function?
Sometimes, it depends on the arithmetic sequence.
Yes, always.
Not enough information is given.
No, never
Yes, always.
A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.
There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds
60 x 5 + 45 = 345 Seconds
Write a word expression for 7 + 4a.
Answer:
The answer is Seven plus Four A.
Brayden and his friends are driving across the US from New York to Los Angeles at a constant speed without stopping. When they have driven for 10 hours, they are 1700 miles away from Los Angeles. When they have driven for 15 hours, they are 1500 miles away from Los Angeles.a) Find a linear function that models the remaining distance, DD, to Los Angeles as a function of the amount of time, t, that Brayden and his friends have been driving.
Answer:
d=-40t+2100
Step-by-step explanation:
Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.
As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.
Similarly, the distance covered in 15 hours is d-1500 miles.
So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.
As speed = distance/time,
So the speed of driving, v=200/5=40 miles/hour
Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is
d=at+b ...(i)
where a and b are constants.
When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have
1700=10a+b
b=1700-10a...(ii)
Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so
1500=15a+b
1500=15a+1700-10a
1500-1700=5a
-200=5a
a= -200/5
a= -40
From equation (ii), we have
b=1700-10(-40)=1700+400=2100
From equation (i), the required equation is
d=-40t+2100
Hence the required linear function is d=-40t+2100.
A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?
Answer:
750 miles
Step-by-step explanation:
Step one:
Given data
we are told that the hummer gets to 300miles on 20 gallons of gas
Required
The distance that the Hummer can go on 50 gallons of gas
Step two:
if 20 gallons gets to 300miles
the 50 gallons will get to x miles
cross multiply we have
[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]
A fruit juice company includes 1.872 ounces of orange juice in a 6.65-ounce bottle of a mixed fruit
juice. How much of the bottle of mixed fruit juice is NOT orange juice?
ounces
(Type a whole number or a decimal.)
Answer:
4.778 ounces
Step-by-step explanation:
Given that:
Ounces of orange juice in mixed fruit juice = 1.872
Ounces of mixed fruit juice = 6.65 ounces
Ounces of Mixed fruit juice that is not orange juice :
(Ounces of mixed fruit juice - Ounces of orange juice)
(6.65 - 1.872) ounces
= 4.778 ounces
Pls help me answer this question for my homework
Answer:
4
Step-by-step explanation:
2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.
If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.
2b+ f + d + 3b + 2f + 2d + 8
Answer:
Did you want me to simplify the expression???
Step-by-step explanation:
3f+5b+3d+8
Four less than the product of 2 and a number is the same as negative eightteen. Find the number
Answer:
12
Step-by-step explanation:
4-2x=-18
-4 -4
-2x=-24
-2 -2
x=12
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
ekekjejew
The following list gives the number of public libraries in each of 11 cities. 12, 3, 5, 4, 7, 8, 11, 13, 10, 6, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Which situation can be represented by the expression -2+(-1)
Choose 1 Answer:
Answer:
A
Step-by-step explanation:
I checked on khan
Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
can someone please help me
Answer: 19
Step-by-step explanation:
I need help please but if you can give me the step by step it would be helpful thank you
Answer: (x^2 -6x +10)(x - 2)
All the steps are shown in the picture below:
Write an equation that represents the tile pattern in the table below
Answer:
y=3x+2
Step-by-step explanation:
First find the slope or m in the line of equation y=mx+b
to find slope you need two points, plug in to y2-y1 / x2-x1
so lets use points (0,2) (1,5)
5-2 / 1-0 = 3
m=3
we have y=3x + b
now we find b by pugging in a point, let's use (0,2)
2 = 3(0) + b
b= 2
y=3x+2
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Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.
Question 8 options:
A)
image
B)
image
C)
image
D)
image
Step-by-step explanation:
The given function is :
[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)
It is an equation of parabola. The vertex form for equation of parabola is given by :
[tex]y=a(x-h)^2+k[/tex] ...(2)
Here,
Vertex = (h,k), axis = h and rate = a
From equation (1) and (2) :
a = -1/8, h = 1 and k = -4
The atached graph shows the graph for the given equation.
if k = am+3mx what is the value of m in terms of
x
Please help
Answer:
k = am + 3mx
Group by taking common factor m
k = m(a + 3x)
Divide both sides by (a +3x)
k / (a+3x) = m
Then, m = k / (a+3x). This is the answer
Step-by-step explanation:
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4
Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.
Answer: 1 cup of macaroni for 3 cups of water
Step-by-step explanation:
9/27 divided 3=1 cup/3 cup
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