Answer:
[tex]f(x)=4x^2[/tex]
Step-by-step explanation:
Quadratic Model
The quadratic function can be expressed in the form:
[tex]f(x)=ax^2+bx+c[/tex]
Where a,b, and c are constants to be determined using the points through which the function passes.
We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.
Point (0,0):
[tex]f(0)=a*0^2+b*0+c=0[/tex]
It follows that
c=0
Point (-2,16):
[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]
Operating:
[tex]a*(4)+b*(-2)+c=16[/tex]
Since c=0:
[tex]4a-2b=16[/tex]
Divide by 2:
[tex]2a-b=8\qquad\qquad [1][/tex]
Point (1,4):
[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]
[tex]a*(1)+b*(1)+c=4[/tex]
Since c=0:
[tex]a+b=4\qquad\qquad [2][/tex]
Adding [1] + [2]:
2a+a=12
3a=12
a=12/3=4
a=4
From [2]
b=4-a
b=4-4=0
b=0
The model is:
[tex]\boxed{f(x)=4x^2}[/tex]
why does 4^3 equal 64 and not 12
Answer:
because 4.4.4.4
Step-by-step explanation:
A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200
HELP ASAP RN 10 POINTS AND BRAINLIEST TO WHOEVER DOES IT CORECTLY The cost to rent a bicycle at Freewheels is $10 plus an hourly rate for each hour the bicycle is rented. The graph represents the linear relationship between the cost, in dollars, to rent a bicycle and the
number of hours rented.
Based on the graph, which statement is true?
Freewheels charges a $4 initial fee and $10 per hour.
Freewheels charges a $10 initial fee and $4 per hour.
Freewheels charges an $8 initial fee and $42 per hour.
Freewheels charges a $42 initial fee and $8 per hour.
Answer:
Freewheels charges a $10 initial fee and $4 per hour.
that is the correct answer! hope this helped!
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph, we have the following coordinates.
(0, 10)
(1, 14)
(2, 18)
(3, 22)
(4, 26)
(5, 30)
(6, 34)
Now,
The coordinates (0, 10) mean that there is an initial fee of $10.
Rate of change between two points.
= (18 - 14) / (2 - 1)
= 4/1
= 4
This means there is a charge of $4 per hour.
From the graph, we see that,
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
Thus,
The coordinates from the graph.
(0, 10) and the rate of change is 4.
Freewheels charge a $10 initial fee and $4 per hour.
Option B is the correct answer.
Learn more about coordinates here:
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There are 105 members in a marching band. They are traveling on buses. Each bus holds 35 members. How many buses are needed to carry the band members?
Answer:
3 buses i'm pretty sure :))
For which inequality is x = 5 a solution ?
Answer:
C
Step-by-step explanation:
because x<2 is ... -1,0,1
x>9 is 100,11,12...
but x<18 is 17,16.. 6,5,4
x>42 is more than 42 so 43,44,45...
Jerry started doing sit ups every day. The first day he did 15 sit ups. Every day after he did 4 more sit ups than he had done the previous day. Today jerry did 65 sit ups. Write an equation that could be solved to find the number of days jerry has been doing sit ups, not counting the first day.
Answer:
y=4x+15
Step-by-step explanation:
y-total
x-days
NEED HELP ASSSAAPPP
Choose the correct slope of the line that passes through the points (-4, 8) and (-8,8).
O slope = undefined
O slope = -1
O slope = 1
O slope = 0
Answer:
0
Step-by-step explanation:
Which shows the best use of associative and commutative properties to make simplifying 3/4 - 5 + 9 -2/4 + 2 easier?
Answer:
(-5) + 9 + 2 + 3/4 + (-2/4)
I need help with this
Answer:
120 students
Step-by-step explanation:
so divide 300 by 10 = 30
then multiply it by 4 = 120
How do you do this question?
Answer:
z = -ln│5eᵗ + C│
Step-by-step explanation:
dz/dt + 5eᵗ⁺ᶻ = 0
dz/dt = -5eᵗ⁺ᶻ
dz/dt = -5eᵗeᶻ
-e⁻ᶻ dz = 5eᵗ dt
e⁻ᶻ = 5eᵗ + C
-z = ln│5eᵗ + C│
z = -ln│5eᵗ + C│
Write two decimals that have the sum of 16.825
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
1/2(4w-5)
please help i need answers asap
Answer:
2w - 2 1/2
Step-by-step explanation:
you need to multiply the faction by each one of the numbers. multiplying them by 1/2 is going to be the same was dividing them by 2
4w (1/2) - 5 (1/2)
2w - 2 1/2
hope this helps!
describe the prime factorization of 180
Answer:
5 x 2 x 2 x 3 x 3 = 180Step-by-step explanation:
HOPE THIS HELPS’
PLZZ MARK BRAINLIEST
I WILL GIVE BRAINLIEST AND POINTS PLEASE GIVE ME THE ANSWER OF THIS FAST PLEASE!!!!!
Solve for xxx.
Your answer must be simplified.
x/-6 ≥ -20
[tex] \mathsf{Hey \: there}[/tex]
[tex] \mathsf{\dfrac{x}{ - 6} \geq - 20}[/tex]
We can substitute the greater or equal to sign as a "equal" sign (for now)[tex] \mathsf{\dfrac{x}{ - 6} = - 20}[/tex]
Multiply both of your sides by ⬇[tex] \mathsf{ \dfrac{6}{-1}}[/tex]
Like[tex] \frac{6}{-1} \times \frac{ -1}{6} \mathsf{x} = \frac{6}{-1} \times - 20[/tex]
[tex] \mathsf{Cancel \: out: \dfrac{6}{ -1} \times \dfrac{ - 1}{6} \: because \: it \: you \: 1 }[/tex]
[tex] \mathsf{Keep:{\dfrac{6}{-1} \times \: -20} \: because \: it \: helps \: solve \: for \: your \: equation}[/tex]
[tex] \mathsf{x = 120}[/tex]
We do the same for your equation but a tad bit different![tex] \boxed{ \mathsf{your \: answer: \boxed{ \mathsf{ \huge\bf{x \leq120}}}}} \checkmark[/tex]
- ITS AN OPENED CIRCLE SHADED TO THE LEFT GOOD LUCK ON YOUR ASSIGNMENT AND ENJOY YOUR DAY!~
[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
hehe <120 i thinkkkkkkkkk
Step-by-step explanation:
can someone help me round 621x29
Your rounded number is 18010
The reason for this is because when you multiply 621X29, you get 18009. When you round numbers, you want to see how the numbers are. If a number is 4 or below, you will make that number a zero or not count it, whereas numbers above 5 will go up. I hope this helps and if you have any questions, let me know
Answer:
18010
Step-by-step explanation: You see, 621x29=18009 and rounded is 18,010
The ratio of the number of silver watches to the number of gold watches in a shop 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answer:
For every 2 silver watches, there are 3 gold watches :)
Step-by-step explanation:
For every 2 silver watches, there are 3 gold watches :)
What is the easiest way to find the square root of a number?
Answer:
use a calculator
Step-by-step explanation:
best trick
HELP ME PLEASEEEEEEEEEEEEEEEE
What is the LCM of 81 and 84
Answer:
2268
Step-by-step explanation:
choose the correct solution and graph
z+9≤6
Answer:
z ≤ -3
Step-by-step explanation:
z + 9 ≤ 6
z ≤ -3
4 4/5 divided by 2 1/5
Answer:
2 2/11
Step-by-step explanation:
Jenny cut a wire into 4 equal pieces. The wire was originally 7.92 meters long. How long is each piece?
Answer:
1.98 meters
Step-by-step explanation:
divide 7.92 by 4
(7.92)/4
1.98
Find the prime factorization of 32. Write in exponential form.
A. 2 × 2 × 2 × 2 × 2
B. 26
C. 2 × 2 × 2 × 2
D. 25
Answer:
find the prime factorization of 32. write in exponential form.
option A is correct
Construct the exponential function that contains the points (0,3) and (2,75).
Answer: 3(5)^x
Step-by-step explanation:
that was the correct answer
The required exponential function is given as y = 3[5]ˣ.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Let
y = abˣ
Substitute the pairs and form two equations,
3 = a - - - - - - - (1)
75 = ab² - - - - - (2)
Dividing equation 2 by 1
25 = b²
b = 5
Now,
y = 3{5}ˣ
Thus, the required exponential function is given as y = 3[5]ˣ.
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In a recent year, 0.57 of those registered to vote in the United States voted in an election.
Write 0.57 as a percent.
Answer:
57%? I think.
Step-by-step explanation:
Answer: 57% iḿ sure.
Step-by-step explanation:
15% of the students in the class
did not complete their homework. If there
are 20 students in the class, how many didn't do their homework?
Answer:
3
Step-by-step explanation:
15% of 20 Is 3.
Olivia needs 54 licks for every 3 lollipops she eats.
18 is your answer
54 divided by 3 = eighteen
Answer:
If the question is how many licks does she need for each lollipop, the answer will be 18 licks
Step-by-step explanation:
54/3=18licks
Hope this helps pls give brainliest!
using the arithmetic sequence 12,15,18,21.....What is the 12th term of the sequence
Answer: 45
Step-by-step explanation:
f(n) = f(1)+CD(n-1)
f(n) = 12+3(n-1)
f(n) = 12 +3n -3
f(n) = 3n+9
plug in 12 for n
f(12) = 3(12)+9
= 36 +9
=45
Answer: 45
Step-by-step explanation: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
are the triangles congruent ?
Answer:
yes its sss
Step-by-step explanation:
Answer:
SSS BECAUSE THE TRIANGLE IS GOING UP AND DOWN SO 5% of it so SSS