Describe the transformations of f(x) when compared to the parent function [y = x2].
f(x) = x2+5
The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up
Transformation of functions
Transformation of function is transforming a function from one form to another form .
Rules of transformation :f(x)-> f(x)+a , f(x) will be moved 'a' units up
f(x)-> f(x)-a , f(x) will be moved 'a' units down
f(x)-> f(x-a) , f(x) will be moved 'a' units right
f(x)-> f(x+a) , f(x) will be moved 'a' units left
f(x)-> -f(x), f(x) will be reflected across x-axis
f(x)-> f(-x), f(x) will be reflected across y-axis
For quadratic, the parent function is [tex]f(x)=x^2[/tex]
Given that [tex]f(x)=x^2+5[/tex]
Here , 5 is added with f(x) at the end
f(x)-> f(x)+a , f(x) will be moved 'a' units up
[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]
The graph of f(x) will be move 5 units up
the transformations of f(x) when compared to the parent function is the graph is moved 5 units up
Learn more about transformation here:
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Solve for x. Round your answer to the nearest tenth
Answer:
x = 19.19°
Step-by-step explanation:
cos x = 17/18
cos x = 0.9444
x = 19.19°
what is 2/3 + 1/4 as a fraction
Answer:
[tex] \frac{11}{12} [/tex]
Can I be brainliest pls
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using ∝ = 0.05, what conclusion should Lucy reach?
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Answer:
Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
Step-by-step explanation:
To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.
The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.
The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.
The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).
However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.
The total area of a rectangle is represented by (x²+9 x+18) sq units.Find the expression for the dimensions of the rectangle.
Answer:
x+3 units and x+6 units
Step-by-step explanation:
Give the total area of a rectangle is represented by (x²+9 x+18) sq units.F
Factorize
x²+9 x+18
- x^2 + 6x + 3x + 18
= x(x+6) + 3(x+6)
= (x+3)(x+6)
Since Area = Length * Width
The dimensions of the rectangle are x+3 and x+6 units
-3(4x + 3) +4(6x + 1)= 43
Step by step solution
Need help ASAP PLEASE!!
Answer:
x=4
Step-by-step explanation:
-3(4x+3)
you need to break open the paranthesis
-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.
4(6x+1)
you need to break open the paranthesis
4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.
-12x-9+24x+4=43
move all variables to the left side and numbers to the right side
-12x+24x=43-4+9
12x=48
x=4
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answer:
11 cows and 6 ducks
Step-by-step explanation:
What is the answer?1/3(x-10)=-4
Answer:
x=-11
Step-by-step explanation:
not entirely sure what it means by DBJ, but lets see..
i believe the answer is x=-11.
please resend the problem fixed
A square playpen has sides that are 4 feet long. What is the playpen's area?
Answer:
16
Step-by-step explanation:
Which postulate proves the two
triangles are congruent?
Answer:
AAS
Step-by-step explanation:
because here it is given that two angle are
equal
and a side is common between both traingle
so, both traingle are congruent by
AAS
hope it helps
Express each rate below as a unit rate.
975 calories in 13 brownies
Answer:
Step-by-step explanation:
975/13=75
75 calories per brownie
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
Step-by-step explanation:
line 1 is H
line 2 is C
line 3 is D
line 4 is G
:)
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$11,500.00 R=10% T=60 days
Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST
Answer:
Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.
Find the value of x.
Answer:
x=6,24
Step-by-step explanation:
Use the Theorem of Pythagoras.
H^2= S^2+ S^2
8^2= 5^2 + S^2
64-25 = S^2
39 = S^2
6,24= S
S is x therefore x = 6,24
2/8 of 24=
2/8 times 24=
Answer:
2/8 of 24 is 6
2/8 times 24 is 6 also
a sphere of radius 10cm is to be turned out on a lathe. If the radius is made 0.1cm too long, what is the precentage of error made in the surface area of the sphere
Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
My dad was painting our living room. He started with 5/9 of a can of paint.
He used 1/3 of the can. How much paint did he have left?
Answer:
0.2 rounded up or 1/5 (also rounded up)
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
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 z-score 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 p-value, 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.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
Here is a picture of a cube and the net of this cube what is the surface area of this cube enter your answer in the box
Answer:
Step-by-step explanation:
a = 12 mm
Surface area of cube = 6a²
= 6 * 12 * 12
= 864 cubic mm
Four times the sum n plus 10 is 34 what is the value of n?
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
Answer: 4n+40=34
Step-by-step explanation:
I got it right
Greg spent $47.45 on five books. If each book cost the same amount, how much does one book cost?
Answer:
Greg spent 9.49 cents on the book
The cost of one book is A = $ 9.49
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of 5 books be = $ 47.45
Now , the cost of one book is A
where A = 47.45 / 5
On simplifying the equation , we get
A = $ 9.49
Hence , the cost is A = $ 9.49
To learn more about equations click :
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roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?
Answer:
10 weeks
Step-by-step explanation:
Create a system of equations demonstrating Roshaun and Keegan's savings.
Roshaun: 150 + 10x Keegan: 0 + 25xLet x equal the number of weeks they save their money.
In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.
150 + 10x = 25xSubtract 10x from both sides of the equation.
150 = 15xDivide both sides of the equation by 15.
x = 10In 10 weeks, Roshaun and Keegan will have the same amount of money.
What is -456 divided by -18
Answer:
25.3333333
Step-by-step explanation:
Answer: 25.33
Step-by-step explanation:
First yo divide -456 / -18
Last is the result (what you get): 25.33
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?
Answer:5 * (1/2 * 6 * 14)= x
Step-by-step explanation: :D
Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?
Answer:
Step-by-step explanation:
14%
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in
Answer:
44
Step-by-step explanation:
because yea
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer
I need help please help
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
Plzz help meee! I am timed
Answer:
The Answer Is 8 five dollar bills
Step-by-step explanation:
First you Multiply 5 by 8 Then divide the answer by 5