Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
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Can someone help quick please
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
If you borrow $3,000 at 5% simple interest for 9 months how much will you owe in 9 months? How
much interest will you pay?
Answer: $150
Step-by-step explanation:
$3,000 x 5% = 150
Which is the volume of the solid?
Answer: the answer is A
Step-by-step explanation:
you post 2 vidoes online. In the first hour video a gets 7 views video b gets 9 times as many. how many more views does video b get?
I need help with this, pls put step by step
the simplified form of (2^a)(2^b)(2^c) is
Answer:
Step-by-step explanation: hope this helps!
Please helppp ASAPPP will mark brainliest
a) SR
b) QR
c) RW and RV
RT and RS
RU and RQ
Part 2! Please help once again! This is confusing me since I've never been good at geo. :((
Answer:
B is the answer that is incorrect and must be rejected.
Step-by-step explanation:
A trapezoidal shape need not have a line of symmetry to be a trapezoid.
Assume that y varies inversely with x. If y = 7 when x = -2, find у when x = 7. y = ??
Answer:
-2
Step-by-step explanation:
y=k/x
Replace y with 7 and x with -2
7=k/-2 gives you -14
Then you can replace k with -14 and x with 7
y=-14/7 gives you -2
An equation is shown.
2.2 - 53 -3=0
What are the solutions to the quadratic equation?
X=
X=
The answer is -53.8
Step-by-step explanation:
jSubtract
The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height
Answer:
543
Step-by-step explanation:
i am smart
The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
HELP PLS I NEED HELP
Answer:
133
Step-by-step explanation:
180 - 47 = 133
Answer:
133°
Step-by-step explanation:
If we assume the the given to adjacent lines to be parallel then ,
The x and supplement of 47° will be equal since they will be corresponding angles .Therefore :-
=> x = 180° - 47°
=> x = 133° .
Hence the size of angle X is 133°please help me on this it is 55 points
Answer:
59/1
Step-by-step explanation:
Please can someone answer this I don’t get it!!! 5 points and Brainly:)
Answer:
the answer will be 39cm yes
Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.
Answer:
6+s
Step-by-step explanation:
six more marbles so add 6 to s
What is a common denominator?
least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.
Answer:
12
Step-by-step explanation:
Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers
:)
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
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can someone help me? I have to turn it on by tomorrow :(
Answer:
The terms in #4 are 2500, 11t, and -3w
The terms in #5 are 17 and 4d
Select all multiples of the number: 9
Answer:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Step-by-step explanation:
hi
Answer:
9,18,27,36,45,54,63,72,81,90
Step-by-step explanation:
Please I need some help hereeeeeeeeee
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.
Two cells are measured using this method:
Cell G: 4.21 x 10-3 centimeters
Cell H: 9.2 x 10-4 centimeters
How many times larger is the diameter of cell G than the diameter of cell H?
Write your answer in standard notation, rounding to the nearest tenth.
Answer:
Step-by-step explanation:
The answer is 6.868 10
The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times
We are given;
Diameter of Cell G = 4.21 × 10^(-3) cmDiameter of Cell H = 9.2 × 10^(-4) cmNow, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;
(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6
Thus,diameter of cell G is 4.6 times larger than diameter of Cell H
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3. Given f(x)=-2(5)
Find f (4)
Answer:
f
(
x
)
=
2
, means, whatever be the value of
x
, f(x)=2#.
∴
f
(
−
4
)
=
2
.
A
9x - 40
B
3x + 20
x = [?]
Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
9x - 3x - 40 = 3x - 3x + 20
6x - 40 = 20
6x - 40 + 40 = 20 + 40
6x = 60
6x / 6 = 60 / 6
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
9(10) - 40
90 - 40
50
3x + 20
3(10) + 20
30 + 20
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer: 10
Step-by-step explanation:
4 5/6 + 5 7/8 please help asap tysm
Answer:
the answer to the question is 10 17/24
0.8 -0.50 3 with solution
Answer:
0.3
Step-by-step explanation:
Answer:
0.8-0.503=0.297
0.8-0.50= 0.3
Step-by-step explanation:
In the year 2001, a company made $5.5 million in profit. For each consecutive
year after that, their profit increased by 12%. How much would the company's
profit be in the year 2003, to the nearest tenth of a million dollars?
A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how many scores are in the sample?
Answer:
There are 4 scores in the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]
We want to find n. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]
[tex]-4\sqrt{n} = -8[/tex]
[tex]4\sqrt{n} = 8[/tex]
Simplifying by 4
[tex]\sqrt{n} = 2[/tex]
[tex](\sqrt{n})^2 = 2^2[/tex]
[tex]n = 4[/tex]
There are 4 scores in the sample.
Help please I really need it
Answer:
40%
Step-by-step explanation:
it ads up to 90, so 50+x=90 x=40
Answer:
40° as it is a right angle
then 90 - 50= 40