Answer:
f(x) = a(x - 1) + 20
Step-by-step explanation:
Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.
Hope it helps!
The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.
Given that,
A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).
We have to find what does the expression for this function look like? In vertex form, write the quadratic function.
What is the vertex form of a parabola?Use y= a(x-h)² + k as the vertex form of a parabola.
(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.
The vertex of the parabola (h,k) is (1,20)
The a value is 4 and y as 0.
y=a(x-h)²+k
0=4(x-1)²+20
0=4(x²-2x+1)+20
0=4x²-8x-4+20
0=4x²-8x+16
4x²-8x+16=0
x²-2x+4=0
Therefore, the quadratic function is x²-2x+4=0.
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Find the value of x 116 degrees and 33 degrees
Answer:
x = 31 degrees
Step-by-step explanation:
This is a triangle because there are 3 angles so they all add up to 180 degrees.
116 + 33 + x + 180 Add 116 and 33
149 + x = 180 subtract both sides by 149
x = 31
What percent of 84 is 42
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
URGENT PLZ HELP
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.
X+114=111
add negative -114 to each side to get X alone.
-114+X+114= 111+-114
X=-3 . Answer negative 3
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.
Find the area of the shape
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
Please find the square root. Round your answer to the nearest tenth.
√81.4 =
0Answer: 9.0
Step-by-step explanation:
.
I don’t understand, can someone help?
Answer:
The answer is 3
Step-by-step explanation:
if the other side is 10 then 2x+4 should be 10
2*3+4=10
PLS HELP I WILL GIVE BRAINLYEST
Answer:
hey
Step-by-step explanation:
pls help me then i help u
Find the rate of change in table plsss helppp!!!!
Answer:
.25 is the answer
Step-by-step explanation:
.5/2=.25
5 1/3 + (2 2/3 + 1 1/3)
Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one box has a raspberry muffin and a raspberry scone. How many different ways can we select exactly 5 muffins and 9 scones so that each one is a unique flavor? (Order does not matter)
Answer:
Step-by-step explanation:
Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points
Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
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What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it helps !
If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
hey so i need help on my khan so please please please help
Answer:
Step-by-step explanation:
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
factor out the combine term 21x+49y
WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
lol please help !!!!!!!
Write 5x – 4y = 10 in slope-intercept form
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
consider the absolute value functions c and d
which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c
B. The maximum value of d is 3 less than the maximum value of c.
C.The minimum value of d is 5 more than the maximum of c
D. The minimum value of d is 3 more than the maximum of value c.
PLEASE HELP WILL MARK BRAINLIST
Answer:
the answer for question 2 is (D)
Please answer this question:
1.)
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1})[/tex]
2.)
[tex] \frac{( {25}^{ - 1} + ( {25}^{ - 2})}{( {625}^{0} + ( {25}^{ - 2} )}[/tex]
hope you can help me. thank you in advance. I'll give the brainliest.
Answer:
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]
second one 13/313
Which equation is true for the value x = 15?
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15
Answer:
2x-15=15
where x=15
2(15)-15=15
30-15=15