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.
To learn more about quadratic visit: https://brainly.com/question/22364785
#SPJ2
Fred climbed to the top of a cliff 35 feet above sea level. he then dove into the ocean, traveling a total of 42 feet from the top of the cliff. What is Fred's location after the dive?
Answer:
i really dont know sorry lil buddy
Step-by-step explanation
X/23 = 21/34 round to hundredths place
Answer:
The answer is 14.19
Step-by-step explanation:
34 / 23 = 1.48
21 / 1.48 = 14.19
I hope this helps you! :D
The members of a basketball team are selling T-shirts during spirit week. The cost is $20 for the design and $1.50 to print each T-shirt. The cost, y, to print x T-shirts is y=1.5x+20. Interpret the slope and the y-intercept.
Answer:
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
Step-by-step explanation:
Equation of a line:
An equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the increase in y when x increases by 1.
b is the y-intercept, which is the value of y when x = 0.
The cost, y, to print x T-shirts is y=1.5x+20.
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
write the equation of a line parallel to y=3/2x-4 and has a Y intercept of -3
Answer:
one sec
Line that is parallel:
Step-by-step explanation:
i need help ASAP
Show your work: x - 8 = 12
Answer:
x = 20
Step-by-step explanation:
x - 8 = 12 Add 8 to both sides
x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8
x = 20
Answer: x=20
Step-by-step explanation: Just do 12 + 8, addition is the opposite of subtraction so if you need to find the answer just do it backwards, 12 + 8 = 20. Hope this helps
a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given interval. Use the curve to aid you.
Answer:
12) Between 40 and 64 = 0.815
13) Between 32 and 40 = 0.0235
14) Between 56 and 64 = 0.34
15) At most 56 = 0.515
16) At least 72 = 0.025
17) At most 64 = 0.855
Explanation:
To answer this, we will convert each of the values into their standardized form to make this easier.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ
x = Each value
μ = Mean = 56
σ = Standard deviation = 8
12) Between 40 and 64
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
For 64
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
So,
Between 40 and 64 = Between -2 and 1
From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.
So,
Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815
13) Between 32 and 40
For 32,
z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3
For 40,
z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2
So,
Between 32 and 40 = Between -3 and -2 = 0.0235
14) Between 56 and 64
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
Between 56 and 64 = Between 0 and 1 = 0.34
15) At most 56
For 56,
z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0
At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515
All the regions before z = 0)
16) At least 72
For 72,
z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2
At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025
(All the regions from z = 2 to the end)
17) At most 64
For 64,
z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1
At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855
(All the regions before z = 1)
Hope this Helps!!!
33) Name four congruent angles that are acute angles.
Answer:
Angles 2, 3 and 6,7 are acute angles
Answer:
∠2≅∠3
∠6≅∠7
∠3≅∠6
∠2≅∠7
Step-by-step explanation:
Hello There!
Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle
∠2 and∠3 are vertical angles which have congruent measures
∠6 and∠7 are also vertical angles
∠3 and∠6 are alternate interior angle which are can be known for being congruent
∠2 and ∠7 are alternate exterior angles which are also congruent
so angles 2, 3, 6 and 7 are all congruent
Anne can make 6 headbands from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression?
The expression that shows the amount of cloth needed to make 1 headband is
. The solution to the expression is
meters.
Answer:
(3/5) × 6
1/10
Step-by-step explanation:
Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?
Answer:
108 sq cm
Step-by-step explanation:
18x12 = 216
216/2 = 108
Please help if not I with find you
Answer:
7,7,15
Step-by-step explanation:
Because the summation of two sides should be greater than the other one
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
What is BD?
PLEASE HELP!!!
Answer:
bd – boundary. (Also written as fr or ∂.) Bi – Airy function of the second kind. BIDMAS – Brackets, Indices, Divide, Multiply, Add, Subtract.
Step-by-step explanation:
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
Nicole mixed the juice from the two oranges with the least juice into yogurt. Nicole drank the juice from the orange with the most juice. How much more orange juice did Nicole drink than she mixed into her yogurt?
Answer:
the answer is 3
Step-by-step explanation:
the two lowest of the plot is 1 and 1 1/2 the most is 5 1/2 make it an improper fraction and 11/2 minus 5/2 is 6/2 simplify the answer is 3
Please Help Now i will give brainest
Answer:
7.14 and 7.15
Step-by-step explanation:
The true square root of 51 to three decimal places is 7.141.
x < 7.141 < y.
If you insert the numbers above, you get a true inequality of
7.14 < 7.141 < 7.15.
Therefore, 7.14 and 7.15 will be your answer.
Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?
Meals are cooked in a process with two resources. The first resource has a capacity of 28 meals per hour. The capacity of the second resource is 24 meals per hour. The first resource has 9 workers and the second resource has 8 workers. Demand for this process is 31 meals per hour. Wages are $24 per hour. Instruction: Round your answer to four decimal places. What is the cost of direct labor (in $s)? _____________ per unit
Answer:
The cost of direct labor (in $s) is $7.85 per unit.
Step-by-step explanation:
First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216
Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192
Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408
Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85
Therefore, the cost of direct labor (in $s) is $7.85 per unit.
m + m + m + m = 4 + m
Answer:
4m=4+m
4m-m=4
3m=4
m=4/3
hope this helps:)))
Please help it’s super hard
Answer:
It's answer is A. 557 square feet
Step-by-step explanation:
Area of semi circle
= 1/2 * π * r²
= 1/2 * 3.14 * 10²
= 157 square feet
Area of square
= 20²
= 400 square feet
Now
Total area
= 400 + 157
= 557 square feet.
Hope it will help :)❤
help me do this i will pick brailest if right and it is 45 points!
Answer:
8/21
Step-by-step explanation:
Answer:
7/24
Step-by-step explanation:
(1x7) / (3x8) = 7/24
And I am sure
the coordinates of the verticles of
aylor states that 2,800,000 in scientific notation is 2.8 × 10-6 because the number has six places to the right of the 2. Is Taylor’s reasoning correct?
Answer:
2.8+1232adwasdf 232=999
Step-by-step explanation:
PLS HELP 2772288282 PlsPLA PLASS
Step-by-step explanation:
I think it'S right......
5) A flea that is 12 inch tall can jump 12 inches high. If a child 5 feet tall had the ability to jump like
a flea, how high could he jump?
Answer:he would be able to jump all tall as the C H I C K E N
Step-by-step explanation:
please help! I really need it if you can tysm
Answer:
Step-by-step explanation:
Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.
If they take in 8 animals, the number of cats is ½ of 8 = 4.
If they take in 6 cats, then the total number of animals is 2×6 = 12.
If they take in 16 animals, the number of cats is ½ of 16 = 8.
Which situation can be solved using the expression shown?
(30)
of the 30 students in the class,
are wearing jackets. How many students in the class are wearing jackets?
of the 30 students in the class, brought their lunch. How many students in the class did not bring their lunch?
In a survey, 2 out of 3 people chose Product A over Product B. If 30 people were surveyed, how many people chose Product B?
In a bag of marbles, 2 out of every 3 marbles are red. If there are 30 red marbles in the bag, what is the total number of marbles in the bag?
Answer:
h
Step-by-step explanation:
Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.
Answer:
perpendicular
Step-by-step explanation:
Rewrite the equations
y = (-1/7)x - 3/7 -- L1
y = 7x + 25 -- L2
Slope of L1 x Slope of L2 = -1/7 x 7 = -1
As a result, the two lines are perpendicular
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.
Let X and Y be the following sets:
X = {10,20,30}
Y = {5, 10, 15, 20}
Which of the following is the set XY?
Answer:
{10;20}
Step-by-step explanation:
X & Y = {10;20}
1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn, what is the total amount of money in her account after 5 years? (Round to the nearest cent)
Answer:
$1,105.08.
Step-by-step explanation:
Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:
X = 1,000 (1 + 0.02 / 12) ^ 5x12
X = 1,105.08
Thus, the amount of money in her account after 5 years would be $ 1,105.08.
STD 10
maths
If the ratio of areas of two similar triangles is 9 : 4, then the ratio of its corresponding sides is .
(a) 9 : 4 (b) 4 : 9 (c) 3 : 2 (d) 81 : 16
Answer:
The answer is c
Step-by-step explanation:
If the area of the two triangles are similar, then Area of ∆ 1 : Area of ∆ 2 =
(Side of ∆ 1)² : (Side of ∆ 2)²
____________________________
Since the area of each triangle is equal to the corresponding side squared.
Area of ∆ = (Side of ∆)² →
√(Area of ∆) = Side of ∆ →
Side of ∆ = √(Area of ∆).
Therefore:
9 : 4 → √9 : √4 = 3 : 2