Use the drawing tool(s) to form the correct answer on the provided graph. Plot the axis of symmetry and the vertex for this function: h(x) = (x − 5)^2 − 7.
Answers
The graph of the quadratic equation with the vertex and axis of symmetry can be seen below.
How to find the vertex and axis of symmetry?
Here we have the quadratic equation written in vertex form:
\(h(x) = (x - 5)^2 + 7\)
Remember that the for a quadratic equation with a parabola (h, k), the vertex form is:
y = a*(x - h)^2 + k
Then here we have that the vertex is (5, 7).
And the axis of symmetry is the line x = h, in this case, x = 5.
The graph of the parabola with the vertex and axis of symmetry can be seen below.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
Related Questions
A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months).
How fast did the wrestler gain weight?
___ kilograms per month
Answers
Finding the rate of the weight gain, we divide the total weight gained with the total number of months that took to gain that weight.
Total time (months) = 0.5 + 2 + 3.5 = 6 months
Total weight (kg) = 80.6 + 88.4 + 96.2 = 265.2 kilograms
Rate = Kg ÷ Months
Rate = 265.2 ÷ 6 = 44.2
44.2 kilograms per month
Cheers!
Answer:
78 kilograms
Step-by-step explanation:
khan told me
b) If p, 2p°, 90° and 120° are the angles of a quadrilateral, find the size
of p° and 2pº.
c) If x°, 2x°, 3x° and 150° are the angles of a quadrilateral, find the size
of x°, 2x° and 3xº.
d) If 2aº, 3a°, 4aº and 6aº are the angles of a quadrilateral, find them.
Answers
Answer:
Step-by-step explanation: Answer:
Step-by-step explanation: b) p+2p+90+120=420
(total measure of all angle is 420)
3p+210=420
3p=420-210
3p=210
p°=70
2p° will be 140
Y=mx+b. Y2-Y1
^. ^. X2-X1
|. |
Slope. Y-intercept
Answers
Answer:
it is your test we can't help you sorry
Tippi Hendron, a researcher at a major university, was trying to explain to students what researchers mean by the term Random assignment. She stated that it involves randomly:
selecting participants for inclusion into the experiment.
determining which variable will be manipulated and which will be measured.
determining how many levels of the independent variable will be investigated.
placing participants into the different groups of the experiments.
none of the above
Answers
Tippi Hendron, a researcher at a major university, was trying to explain to students what researchers mean by the term Random assignment. She stated that it involves randomly placing participants into the different groups of the experiments.
Random assignment is a technique for assigning participants in a sample to different treatment groups. The researcher employs a random number generator to assign individuals to treatment groups without bias, such that each participant has an equal probability of being assigned to any one group.
In a research study, the use of a random sample allows for the generalization of findings to the target population, while the use of random assignment ensures that a control group is available and that the difference in results between the two groups can be attributed to the manipulation of the independent variable rather than other extraneous variables that might impact the dependent variable.
The researcher ensures that individuals are randomly allocated to treatment groups during random assignment.
Learn more about from the given link
https://brainly.com/question/26377187
#SPJ11
Q2) For total cost: TC(q)=10−6q+q2 determine: a. the production level (q∗) that minimizes total cost. b. The amount of Total cost for the q∗, in other words TC(q∗) ? (10 pints)
Answers
The amount of total cost at q* is 1.
To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):
TC(q) = 10 - 6q + q^2
To find the minimum point, we differentiate TC(q) with respect to q:
d(TC(q))/dq = -6 + 2q
Setting the derivative equal to zero and solving for q:
-6 + 2q = 0
2q = 6
q = 3
So the production level q* that minimizes the total cost is 3.
To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):
TC(q*) = 10 - 6(3) + (3)^2
TC(q*) = 10 - 18 + 9
TC(q*) = 1
Therefore, the amount of total cost at q* is 1.
Learn more about cost from
https://brainly.com/question/25109150
#SPJ11
2. What is the domain of the relation described by the set of ordered pairs {(-2, 8),(-1, 1), (0, 0), (3,5), (4,-2)}?
O
{-2, -1,0,3,4}
O
{-2, -1,0, 1,5}
O
{-2, -1, 0,4,5)
{-2,0, 1, 5, 8)
Answers
Answer:
the answer is {-2,-1,0,3,4}
Step-by-step explanation:
domain is the first order pair of the coordinates
150 Miles on 4 gallons of gas unit rate
Answers
Answer:37.5 mpg
Step-by-step explanation:
150 miles / 4gallons equals 37.5miles for every 1 gallon of gas(mpg)
is this true or false
Answers
Step-by-step explanation:
im not really sure because there is no question
Ali currently has $25. He is going to start saving $5 every week. Ali's Savings Function Rule: y = 5x + 25
The rate of change of this function is
.
Answers
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answers
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
Hurry!! MATH TEST
Ill make brainlest and pls show work if you can!
Answers
Answer:
option 1
Step-by-step explanation:
if it goes up 6 then it means plus 6
Worth 60 points for a rapid reply- find the area of each regular polygon. Answers are rounded to the nearest whole number.
Answers
The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
How to calculate for the area of the polygonArea of regular polygon = 1/2 × apothem × perimeter
perimeter = (s)side length of octagon × (n)number of side.
apothem = s/[2tan(180/n)].
11 = s/[2tan(180/12)]
s = 11 × 2tan15
s = 5.8949
perimeter = 5.8949 × 12 = 70.7388
Area of dodecagon = 1/2 × 11 × 70.7388
Area of dodecagon = 389.0634 in²
Area of pentagon = 1/2 × 5.23 × 7.6
Area of pentagon = 19.874 in²
Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.
Read more about area here:https://brainly.com/question/27440983
#SPJ1
In the diagram below, ST is parallel to PQ. If SR = 2.4, PQ = 1.8, RQ = 3,
and ST 1.2, find the length of PR. Figures are not necessarily drawn to scale.
PR=
Answers
Answer:
PR = 3.6
Step-by-step explanation:
Triangles PQR and STR are similar figures. PQ is the base of triangle PQR just like ST is of triangle STR. PR is parallel to SR and RQ is parallel to RT.
\(\frac{Side PQ}{Side ST} =\frac{Side PR}{Side SR}\)
=\(\frac{1.8}{1.2} = \frac{PR}{2.4}\)
Cross-multiplying:
=(1.8)(2.4) = (1.2)(PR)
= PR = \(\frac{(1.8)(2.4)}{(1.2)}\)
= PR = 3.6
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
Answers
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
Know more about Magnitudes here:
https://brainly.com/question/31022175
#SPJ11
What is the intermediate step in the form (x+a)2=b as a result of completing the square for the following equation?
Answers
The completing square form of the equation is \((x+1)^2=-25\).
What is completing square method?
By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach. One approach to locating the roots of the given quadratic equation is to complete the square method.
Here the equation \(x^2+2x=-26\)
To completing the square of the equation add 1 on both sides then,
=> \(x^2+2x+1=-26+1\)
=> \(x^2+2.x.1+1^2=-25\)
=> \((x+1)^2=-25\)
Hence the completing square of the equation is \((x+1)^2=-25\).
To learn more about completing square method refer the below link
https://brainly.com/question/13981588
#SPJ1
Exhibit 9-3
n = 49 H0: μ = 50
sample means = 54.8 Ha: μ ≠ 50
σ = 28
Refer to Exhibit 9-3. The test statistic equals
a. 0.1714
b. 0.3849
c. -1.2
d. 1.2
Answers
The test statistic for the given hypothesis test is 1.2. The correct option is d.
The test statistic is a numerical value used to determine whether to reject or fail to reject the null hypothesis in a hypothesis test. In this case, the null hypothesis is that the population mean is equal to 50, and the alternative hypothesis is that the population mean is not equal to 50. The sample mean is 54.8, and the population standard deviation is 28.
To calculate the test statistic, we use the formula: test statistic = (sample mean - hypothesized mean) / (standard deviation / square root of sample size). Plugging in the values, we get: (54.8 - 50) / (28 / sqrt(9)) = 1.2.
The test statistic of 1.2 indicates that the sample mean is 1.2 standard deviations away from the hypothesized population mean. To determine whether to reject or fail to reject the null hypothesis, we compare the test statistic to a critical value from the t-distribution with degrees of freedom equal to the sample size minus one. If the test statistic is outside the critical value range, we reject the null hypothesis; otherwise, we fail to reject it.
Learn more about mean here:
https://brainly.com/question/31101410
#SPJ11
HELP WHATS THE ANSWER HERE
Answers
Answer:
letter B
I think it's help
Answer the following questions based on the lambda-calculus term (λx. λy. y x) (λ. y). (a) Calculate its free variables using the FV function we discussed in class. Show the steps. Note that "y x" stands for a function application calling y with argument x. y (b) Use lambda calculus reduction to reduce the term to its normal form. Begin by renaming bound variables and show every step. (c) Describe what would go wrong if you did not rename bound variables.
Answers
a) The free variables of the given lambda-calculus term are {x, y}.
b) The normal form of the given lambda-calculus term is (λ. t) s.
c) In lambda calculus, calculating the free variables, renaming bound variables, and avoiding variable capture are crucial steps to accurately reduce terms and obtain the normal form.
What is lambda calculus?In lambda calculus, calculating the free variables, renaming bound variables, and avoiding variable capture are crucial steps to accurately reduce terms and obtain the normal form.
(a) To calculate the free variables of the lambda-calculus term (λx. λy. y x) (λ. y), we can use the FV function. The FV function recursively checks the variables in a lambda term, excluding the ones bound by lambda abstractions. Here are the steps to calculate the free variables:
Start with the given term: (λx. λy. y x) (λ. y)
Apply the FV function to each subterm:
FV((λx. λy. y x)) = FV(λx) ∪ FV(λy. y x) = {x} ∪ (FV(λy) ∪ FV(y x)) = {x} ∪ ({y} ∪ (FV(y) ∪ FV(x))) = {x} ∪ {y} ∪ {y, x} = {x, y}
FV((λ. y)) = FV(λ) ∪ FV(y) = ∅ ∪ {y} = {y}
Take the union of the free variables from the previous steps:
FV((λx. λy. y x) (λ. y)) = {x, y} ∪ {y} = {x, y}
Therefore, the free variables of the given lambda-calculus term are {x, y}.
(b) Now let's reduce the term to its normal form by renaming the bound variables:
Start with the given term: (λx. λy. y x) (λ. y)
Rename the bound variables:
(λx. λy. y x) (λ. y) [Rename x to z] (λz. λy. y x) (λ. y) [Rename y to w] (λz. λw. w x) (λ. y) [Rename x to v] (λz. λw. w v) (λ. y) [Rename y to u] (λz. λw. w v) (λ. u) [Rename u to t] (λz. λw. w v) (λ. t) [Rename v to s] (λz. λw. w s) (λ. t)
Perform the reductions:
(λz. λw. w s) (λ. t) [Apply (λz. λw. w s) to (λ. t)] (λw. w s)[z := (λ. t)] [Substitute z with (λ. t)] (λw. w s) [Substitute w with (λ. t)] (λ. t) s [Substitute s with (λ. t)]
The term (λ. t) s is in normal form because there are no more reducible expressions.
Therefore, the normal form of the given lambda-calculus term is (λ. t) s.
(c) If we did not rename bound variables during reduction, we could encounter variable capture or unintentional variable collisions. Variable capture occurs when a variable bound in a lambda abstraction clashes with a free variable in the context it is being substituted into, leading to incorrect results. By renaming bound variables, we ensure that each variable remains distinct and does not interfere with other variables in the expression. This allows us to correctly perform reductions and reach the desired normal form without any unintended side effects.
Therefore, In lambda calculus, calculating the free variables, renaming bound variables, and avoiding variable capture are crucial steps to accurately reduce terms and obtain the normal form.
To know more about lambda check the below link:
https://brainly.com/question/31019087
#SPJ4
Please help! I’ll give brainiest!
Answers
Answer: they are
explanation: i got it right
Answer:
I think the answer is are not but I'm not 100% sure
Drag each tile to the correct box. Not all tiles will be used.
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usually uses and a
second batch using the new brand of yeast.
Aſter baking both batches of bread, he compares the height, texture, and taste of each batch.
Match the terms with the correct descriptions in the context of this scenario.
height, texture, and taste
second batch
first batch
the baker
new brand of yeast
old brand of yeast
control group
>
response variable
explanatory variable
Answers
Answer:
Step-by-step explanation:
control group/ first batch
Response variable/ height,texture,and taste
Explanatory variable/ new brand of yeast
The terms with the correct descriptions are;
1. control group/ first batch
2. Response variable/ height,texture,and taste
3. Explanatory variable/ new brand of yeast
What is an experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments refers to what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
We are given that baker is experimenting with a new brand of yeast. He can bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast.
Since baking both batches of bread, he compares the height, texture, and taste of each batch.
The terms with the correct descriptions in the context of this scenario are;
1. control group/ first batch
2. Response variable/ height,texture,and taste
3. Explanatory variable/ new brand of yeast
To learn more about experiments refer to:
brainly.com/question/25303029
#SPJ7
amit took part in an cycle race .he started at 1:25 pm and reached the finishing line at 1:50 . what was the duration of the race ?
amit took a part in cycle race .he started at 1:25 and he reached finishing lline at 1:50 pm what was the duration of the race .
Answers
Answer:
25 minutes
Explanation:
Subtract the two times to find the duration.
Simplify 3 ∙ 2x. What is the coefficient?
2
3
6
x
Answers
Answer:
2
Step-by-step explanation:
the coefficient is the number before a variable.
Answer:
6
Step-by-step explanation:
bc i said so
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=6+(n-1)(1/5)
Answers
Answer: a’(n)=1/5
Step-by-step explanation:
The first term is 6, the fourth term is 6.6, and the tenth term is 7.8 in the arithmetic sequence.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The given rule for the arithmetic sequence is:
A(n) = 6 + (n - 1)(1/5)
To find the first term, substitute n = 1 in the formula:
A(1) = 6 + (1 - 1)(1/5)
A(1) = 6 + 0
A(1) = 6
Therefore, the first term of the arithmetic sequence is 6.
To find the fourth term, substitute n = 4 in the formula:
A(4) = 6 + (4 - 1)(1/5)
A(4) = 6 + 3/5
A(4) = 6.6
Therefore, the fourth term of the arithmetic sequence is 6.6.
To find the tenth term, substitute n = 10 in the formula:
A(10) = 6 + (10 - 1)(1/5)
A(10) = 6 + 9/5
A(10) = 7.8
Therefore, the tenth term of the arithmetic sequence is 7.8.
Learn more about arithmetic sequence here:
brainly.com/question/21961097
#SPJ7
Use the figure to find the exact value of the trigonometric function
Answers
In given figure we have right angled triangle,
with
Hypotenuse=5
perpendicular=3
Base=4
Apply the trignometric expression for tanΘ
\(\tan \emptyset=\frac{Perpendicular}{\text{base}}\)Substitute the value of Perendicular and base,
\(\tan \emptyset=\frac{3}{4}\)Multiply bothe side by arc(tan)
\(\begin{gathered} \arctan (\tan \emptyset)=\arctan \frac{3}{4} \\ \emptyset=\arctan \frac{3}{4} \end{gathered}\)The trignometric expression for tan2Θ is:
\(\tan 2\emptyset=\frac{2\tan \emptyset}{1-\tan ^2\emptyset}\)Put the value of Θ in the tan2Θ
\(\begin{gathered} \tan 2\emptyset=\frac{2\tan (\arctan \frac{3}{4)}}{1-\tan ^2(\arctan \frac{3}{4})} \\ \tan 2\emptyset=\frac{2\frac{3}{4}}{1-(\frac{3}{4})^2} \\ \tan 2\emptyset=\frac{\frac{6}{4}}{1-\frac{9}{16}} \\ \tan 2\emptyset=\frac{\frac{6}{4}}{\frac{16-9}{16}} \\ \tan 2\emptyset=\frac{\frac{6}{4}}{\frac{7}{16}} \\ \tan 2\emptyset=\frac{6}{4}\times\frac{16}{7} \\ \tan 2\emptyset=\frac{6\times4}{7} \\ \tan 2\emptyset=\frac{24}{7} \end{gathered}\)ANSWER : (D). 24/7
The exact value of the trigonometric function is tan2θ = 15/8.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The figure given in the question has a right-angled triangle,
As per the given triangle,
Hypotenuse = 5
Perpendicular = 3
Base = 4
Apply the trignometric expression for tanθ
⇒ tanθ = Perpendicular / Base
⇒ tanθ = 3/5 ....(i)
We know that the identity of tangent functions as
⇒ tan2θ = 2tanθ /(1 - tan²θ)
Substitute the value of tanθ = 3/5 in the above identity
⇒ tan2θ = 2(3/5)/(1 - (3/5)²)
⇒ tan2θ = (6/5)/(1 - 9/25)
⇒ tan2θ = (6/5)/(16/25)
⇒ tan2θ = (6/5) × (25/16)
⇒ tan2θ = 15/8
Therefore, the exact value of the trigonometric function is tan2θ = 15/8.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
a big beach towel has a width that is 3 feet less than its length. Of the towels area is 28 feet, what is its length
Answers
Answer:
the answer is 9.333
Step-by-step explanation:
because if the towel of the width that is 3 feet less so you do 28/3=9.333
Answer:
length = 7 ft
Width = 4 ft
Step-by-step explanation:
length = l
Width = l -3
Area = 28 sq.ft
length *width = 28
l*(l-3) = 28
l*l - l*3 = 28
l² - 3l - 28 =0
l² - 7l + 4l - 28 = 0
l(l - 7) + 4(l - 7) = 0
(l -7) (l + 4) =
l -7 = 0 {Ignore l + 4 = 0 as , it gives a negative value}
l = 7 ft
width = 7 - 3= 4
BRAINLIEST FOR THE BEST ANSWER!
Question:
WRITING-Your friend is having trouble understanding the Midpoint Formula.
a. Explain how to find the midpoint when given the two endpoints in your own words.
b. Explain how to find the other endpoint when given one endpoint and the midpoint in your own words.
PLEASE DO NOTE THAT THIS IS WRITING NOT OPTIONS. Thank you in advance! :)
Answers
The formula that is used to calculate the midpoint for the given two point is written as ( (x₁ + x₂)/2 , (y₁ + y₂)/2).
Mid point:
Midpoint refers the point on a line that is at an equal distance from either end.
Given,
Here we have to explain the concept of midpoint in a simple manner.
According to the definition, midpoint refers the central point between the two points.
So, in a simple manner we have said that the mid point is calculated by finding the average of the two given point.
For example, (x₁, y₁) and (x₂, y₂) are the points, then the midpoint (xₙ, yₙ) is calculated by using the formula,
(xₙ, yₙ) = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Similarly, if one point and the midpoint is given, then the another point is calculated by apply the remaining point as (x, y) and solve it accordingly, then we can get the value of it.
To know more about Midpoint here.
https://brainly.com/question/8943202
#SPJ1
13. The company you work for has downsized and you have lost your job. You receive a severance package of $65 000 and decide to invest it for retirement, earning an average of 7% per year. It has been suggested that you should be able to retire comfortably with $500 000 in savings. If your investment can be modelled with the equation y = 65000(1.07)^x how many years will pass before you reach $500 000?
Answers
Answer:
31 years
Step-by-step explanation:
65000*(1.07) ^31 is around $529000
however, 65000*(1.07) ^30 is around $491000
so you would need 31 years to gain more than $500,000.
It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.
We need to find the value of x, which represents the number of years.
Setting y = $500,000, we can solve for x:
500,000 = 65,000(1.07)ˣ
500,000/65,000 = (1.07)ˣ
100/13 = (1.07)ˣ
To solve for x, we take the logarithm of both sides:
ln 100/13 = ln (1.07)ˣ
ln 100/13 = x ln (1.07)
x = (ln 100/13)/(ln (1.07))
x = 30
Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ4
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
learn more about exterior angle theorem from
https://brainly.com/question/17307144
#SPJ1
Volume=
Help me please!! Asap! Thanks so much
Answers
The volume of the oblique prism is 16261 cubic units
How to determine the volume?The given parameters are:
Height = 23
Base area = 707
The volume is calculated as:
V = base area * height
So, we have:
V = 707 * 23
Evaluate
V = 16261
Hence, the volume of the oblique prism is 16261 cubic units
Read more about volumes at:
https://brainly.com/question/1972490
#SPJ1
Grayson buys cheese and lemons at the store.
• He pays a total of $25.81.
He pays a total of $6.55 for the cheese.
He buys 3 bags of lemons that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of lemons costs.
Answers
Answer:
Equation: 25.81 = 6.55 + 3x
One Bag of Lemons: $6.42
Three Bags of Lemons: 19.26
Step-by-step explanation:
25.81 = 6.55 + 3x
-6.55 -6.55
19.26 = 3x
/3 /3
6.42 = x
Thus, he/she payed $6.42 for each bag of lemons and $19.26 for all three bags of lemons combined.