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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There are 24 students in a class. Only -- of the students remembered to bring their hat and mittens to class.
How many students forgot to bring their hat and mittens?
Answer:
6
Step-by-step explanation:
Answer:
22?
Step-by-step explanation:
24-2=22?????
Mrs. Bentiez earns $3,400 every month. She spends 25% of her earnings on rent and saves 12% on food, she saves the rest of her money. How much does Mrs. Bentiez save each month?
Answer:
$2244
Step-by-step explanation:
Sam finished 5/6 of his homework, John finished 3/4 of his homework, and Tom finished 10/12 of his homework. Which two students finished the same amount of homework?
Answer:
Sam and Tom
Step-by-step explanation:
5 × 2= 10
6 × 2= 12
5/6= 10/12
potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes? Round to the nearest cent.
I know the answer is 2.34 (approximately) but please explain how you get from 2.3375 to 2.34
Answer:
you round the .0075 up, getting 2.34
Step-by-step explanation:
Ahmed buys a house for £179500
A year later he sells the house for £190 270
Calculate the percentage profit Ahmed makes.
I
Total mar
Answer: 6% of profit
Step-by-step explanation:
Find the % of profit
179 500 / 190 270 ≈ 0,94 = 94 %
100% - 94% = 6%
A college student takes the same number of credits each semester. She had 12 credits when she started, and after
semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?
Answer:
The student obtains his 12 credits each semester during 8 semesters.
Step-by-step explanation:
Since a college student takes the same number of credits each semester, and she had 12 credits when she started, and after
semesters, she had 96 credits, to determine the rate at which she is earning credits, the following calculation must be performed:
96/12 = 8
Thus, the student obtains his 12 credits each semester during 8 semesters.
What ordered pairs name the locations of points P and Q?
Answer:
See below
Step-by-step explanation:
P(-4, 2)
Q(-3, 0)
The value of a is the value of B is the value of C is
Answer:
A: 5
B: 9
C: 32
I hope this helps the people who're looking for this answer!
A: 5
B: 9
C: 32
thank you :)
How do you simplify 1 17/18
Answer:
1 17/18= 1 17/18
Step-by-step explanation:
1718 is already in the simplest form. It can be written as 0.944444 in decimal form (rounded to 6 decimal places).
If the fractions are 1/6 1/3 1/2 and 2/3 what is the rule for the sequence
Answer:
66
Step-by-step explanation:
dolars per hour
Find the Median for the following set of numbers.
6, 9, 8, 11, 17, 17, 16
Danielle said she read 1/2 of a book select all the fractions that are equivalent to 1/2
The graph shows a proportional relationship. Which equation matches the graph?
A. y = 1/5x
B. y = x
C. y = 15x
D. y = 5x
PROCESSING BASE ANGLES
OF AN ISOSCELES TRIANGLE
Answer:
m<A = 69°
m<C = 69°
Step-by-step explanation:
From the question given above, the following data were obtained:
AB = AC
m<B = 42°
m<A =?
m<C =?
Since:
AB = AC
Therefore,
m<A = m<C
A + B + C = 180 (sum of angles in a triangle)
C + 42 + C = 180
Collect like terms
C + C = 180 – 42
2C = 138
Divide both side by 2
C = 138 / 2
C = 69°
Finally, we shall determine m<A. This can be obtained as follow:
m<A = m<C
m<C = 69°
Therefore,
m<A = 69°
Find the factors of following:
(i) 8x^2 yy
Answer:
i•8xy^2yz
Step-by-step explanation:
Remove unnecessary parentheses
Answer:
i) 8x^2 yz=2×2×2×x×x×y×z
20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)
the burger king sign is a rectangle i had burger king last week
General Logs Banana Bombs cereal is sold in 10.40 ounce packages. Because the cereal is sold by weight, the number of pieces of Banana Bombs varies from box to box. A random sample of 19 boxes of Banana Bombs was sampled and the number of pieces in each box was counted. The sample mean for 19 boxes was 696.58. The quality control engineer knows from the experience that population standard deviation is assumed to be 12.33 and that the number of pieces of Banana Bombs arenormally distributed.a.Construct a 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages.
Answer:
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces
The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
2/4 of Zaria's hair bows are pink, 1/4 are purple, and the rest are orange. What fraction of Zaria's hair bows are orange?
8b+3=35. when solving for B what is ur first step
Answer:
Put B on the one side, then the numbers go on the other side
SOMEONE PLS HELP ME WITH THIS I RLLY DONT UNDERSTAND IF YOU ANSWER CORRECTLY I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answer:
1. B 2. D
Step-by-step explanation:
For the first answer we see that as there are more vehicles, the speed of the vehicles goes down. This can be seen from the negative slope of the scatter plot. In the second image, we cannot see any relation between the x and y coordinates.
Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm
Which problem is even below
4,323
944
291
31
Jasper used a 30 day same as cash loan to purchase a new $325 TV stand. The
interest rate on the loan is 18%. Jasper made 3 payments of $75 and another
payment for $100.
Which graph shows a dilation?
Answer:
the first one
Step-by-step explanation:
Milo and Audrey sold tickets to the school concert. Milo sold 14 fewer tickets than Audrey. If Milo sold 32 tickets, how many tickets did Audrey sell?
Answer:
18
Step-by-step explanation:
32-14=18
here
i need help with this
Answer:
i cant see the whole problem
Step-by-step explanation:
-8c - 6 less than or equal to 10
work out the value of angle x 62 degrees
Answer:
180- (62*2)= x( angles opposite to equal sides)
180-124= x
x= 56
Step-by-step explanation:
At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.
1. f + s = 1050
s + 80 = f
2. f - s = 1050
f + s = 80
3. f + s = 1050
f + 80 = s
4. f - s = 1050
s + 80 = f
5. f + s = 1050 f - 80 = s
Answer: Numbers 1 and 5.
Step-by-step explanation:
It will take Taylor alone 15 hours to complete the work alone.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.
We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
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7) Taylor has a bag of marbles that are all the same size. Of all the marbles
in the bag, there are 5 red, 6 pink, 7 blue, 3 green, and 4 yellow marbles.
Using a probability model for this experiment, predict how many times
Taylor would pick up a red marble if she choses a marble 300 times. *
I
Answer:
60 times
Step-by-step explanation:
There are a total of 5+6+7+3+4=25 marbles
Out of those 25 marbles, 5 are red.
Since there would be a 5/25=1/5 chance of selecting a red marble one time, then we can set up a proportion to find out how many red marbles Taylor will select out of 300 marbles.
1/5=x/300
(1)(300)=(5)(x)
300=5x
60=x
x=60
Therefore, using a probability model for this experiment, Taylor would pick up a red marble 60 times if she chooses a marble 300 times.