Answers
Explain
we use the vertex form
y=a(x-h)^2+k where the vertex is (h,k)
Select ( -4,-1)
Where h=-4
K=-1
y=a(x-h)^2+k
We get
y=a(x-(-4))^2+ -1
Y= a(x+4)^2+-1
Now replace to 0,7
7=a(0+4)^2-1
7=a(4)^2-1
7=16a-1
So now
7=16a-1
7+1=16a
8=16a
a=8/16
That should 1/2
So y=a(x+4)^2 -1
Should become
Y=1/2(x+4)^2 -1
Do you have any doubts now !
Related Questions
A small pizza costs $4.50, and a salad costs $3.75. You plan to buy two small pizzas and four salads. Write and solve an inequality to find the additional amounts x you can spend to get free delivery.
Answers
The inequality in the total amount of purchase is the greater than inequality
The inequality to find the additional amounts x you can spend to get free delivery is 24.00 + x > y
How to determine the inequality?The given parameters are:
Small pizza = $4.50
Salad = $3.75
The cost of two small pizzas and four salads is:
Total = 2 * 4.50 + 4* 3.75
Evaluate
Total = 24.00
Let the amount to get free delivery be y.
So, the inequality would be:
24.00 + x > y
Read more abput inequalities at:
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y=x^2+x+5 How many x-intercepts does the graph of this quadratic have?
Answers
Answer:
0
Step-by-step explanation:
Use discramint formula,
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
Here a and b is 1
c is 5 so we have
[tex] \sqrt{ {1}^{2} - 4(1)(5) } [/tex]
[tex] \sqrt{1 - 20} [/tex]
[tex] \sqrt{ - 19} [/tex]
Since the number is negative, we have zero x intercepts.
solve for x [tex]\sqrt7x-2=5[/tex]
Answers
Answer:
x=7
Step-by-step explanation:
1, Add 2 to both sides. This gives us [tex]\sqrt{7x} =7[/tex]
2. Square both sides. This gives us [tex]7x=49[/tex]
3. Divide both sides by 7. This gives us [tex]x=7[/tex]
A washer and dryer cost a total of $1014. The cost of the washer is two times the cost of the dryer. Find the cost of each item.
Cost of washers
Cost of dryer:
Answers
Answer:
Washer is $676
Dryer is $338
Step-by-step explanation:
1014 divide by 3 gives you 338.
338 x 2 = $676
676 is twice 338.
676 + 338 = 1014
Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7
Answers
4(8-x)=8
8-x=8/4
8-x=2
-x= 2-8
-x= -6
x=6
-> c
In which step was the subtraction property of equality applied?
Answers
Answer:
step 1 is the answer
if you like my answer please like comment and mark me as brilliant
Answer:
D - The subtraction property of equality was not applied to solve this equation
Step-by-step explanation:
I got it right on the test
Explanation - they added 7 to both sides, so there was no subtraction property used
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write [tex](8a^{-3})^{-2/3}[/tex] in simplest form.
Answers
Answer:
[tex] \frac{1}{64 {a}^{2} } [/tex]
Step-by-step explanation:
[tex](8 {a}^{ - 3} {)}^{ \frac{ - 2}{3} } [/tex]
[tex](8 a {)}^{ - 2} [/tex]
[tex] \frac{1}{ {8}^{2} {a}^{2} } [/tex]
[tex] \frac{1}{64 {a}^{2} } [/tex]
Which of these graphs has its maximum point on the line x=3
Answers
Answer:
The last graph
Step-by-step explanation:
We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.
The only one that fits this proposition is the last graph. Making it correct.
Answer:
see below
Step-by-step explanation:
To have a maximum, the parabola must be pointing down.
For the maximum to be at x=3, the vertex must have an x value at 3 and the line of symmetry must be 3
Given the functions f(x) = –4x + 5 and g(x) = x3 + x2 – 4x + 5, what type of functions are f(x) and g(x)? Justify your answer. What key feature(s) do f(x) and g(x) have in common? (Consider domain, range, x-intercepts, and y-intercepts.)
Answers
The f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain, and range
Linear and quadratic equationsLinear equations are equations that has a degree of 1 while polynomial equations are equations that has a degree of 2 and above.
Given the following functions
f(x) = –4x + 5 and;
g(x) = x^3 + x^2 – 4x + 5
Since the f(x) has a degree of 1, hence it is linear in nature while g(x) is a polynomial function because of the third degree.
The key features that they have in common are the y-intercept, domain and range
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PLEASE HELP FOR EACH OF THE FIGURES, WRITE AN ABSOLUTE VALUE EQUATION
Answers
The solution set 0 and 8 are the true values of the absolute value equation
The absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {0, 6}
Calculate the mean of the solution set
Mean = 0.5 * (0 + 6)
Mean = 3
Calculate the difference of the solution set divided by 2
Difference = (6 - 0)/2
Difference = 3
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x - 3| = 3
Hence, the absolute value equation that has the a solution set of 0 and 6 is |x - 3| = 3
Read more about absolute value equation at:
brainly.com/question/2166748
Answer:
|x-3|=3
Step-by-step explanation:
What is the mean of the data set? 66, 71, 75, 83, 88, 89, 90, 91
A. 88
B. 85.5
C. 80
D. 81.625
Answer: D
Answers
Answer:
D
Step-by-step explanation:
I need help with a math problem
Answers
Answer:
a) meters
b) liters
c) kilograms
Step-by-step explanation:
Hope it helps you in your learning process.
MP Justify Conclusions Determine if the circumference of a circle with a
radius of 4 feet will be greater or less than 24 feet. Explain.
Answers
Answer:
less than cause 4 is before 24
De 17 estudiantes 4 hablan frances, si se seleccionan 3, ¿cuál es la probabilidad de que ninguna habla frances?
Answers
Esta es una cuestión de probabilidad condicional, y la resolución podría ser la siguiente:
Estudiantes seleccionados ÷ ninguno habla francés3 / (17 - 4) = 3/13¿Qué es la probabilidad condicional?Corresponde a un concepto matemático que involucra la probabilidad de que ocurran dos eventos, es decir, la probabilidad de que ocurra el evento A, sabiendo que el evento B ya ocurrió.
Por lo tanto, la probabilidad de que ningún estudiante hable francés es 3/13 o 23%.
Encuentre más información sobre la probabilidad condicional aquí:
https://brainly.com/question/18735028
Find the constant rate of change for each graph.
Answers
Answer:
i believe the rate of change is 1/1 or just 1.
there is also 1 graph only?
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
1. Her grandmother gave her $25 in a birthday card.
2. She earned $14 dollars babysitting.
3. She spent $10 on a ticket to the concert.
4. She donated $3 to a local charity.
5. She got $2 interest on money that was in her savings account.
Answers
The signed numbers that represent a change in money from her perspective is:
+$25
+$14
-$10
-$3
+$2
What are the signs to put in front of the amounts?When a person receives money, earns interst or his paid wages, the amount of money the person has increases. Thus, the sign to be used is the addition sign(+).
When a person pays for an item, donates to charity or loses money, the amount of money the person has reduces. Thus, the sign to be used is the subtraction sign (-).
To learn more about addition, please check: https://brainly.com/question/349488
Why Is HDL called the "good cholesterol"?
A. It widens the arteries
B. None apply
C. It returns cholesterol to the liver to be broken down
D. It bring cholesterol to the lungs to be broken down
Answers
Answer:
b
Step-by-step explanation:
It helps remove any forms of cholesterol from your blood strem.
Im supper sorry if i do not get it...
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
Answers
Step-by-step explanation:
rectangle l = 6 units
b = 3 units
area = 18 units ^ 2
parallelogram l = 6 units
b = 1 unit
area = 6 unit ^2
total area = 24 units ^2
What is the answer to the question 6/7 + 3/4
Answers
Answer:
45/28
Step-by-step explanation:
6/7+3/4
The least common multiple of 7 and 4 is 28.
Convert 6/7 and 3/4 to fractions with the denominator of 28
24/28+21/28
Since the denominators are now the same, add the numorators to get 45/28
Evaluate the expression r3 + 4r2 s for r = – 3 and s = 2.
Answers
Answer:
Sorry if I did wrong..I tried my best
Step-by-step explanation:
-3×3+4×-3×2
-9-12×2
-21×2
-42 ans
Solve
2(2x + 1) = 3(x - 4)
Answers
Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
Find the surface area of the pyramid. DO THIS AS QUICK AS POSSIBLE
Answers
Explanation:
How many surface has a pyramid?
5 Faces
It has 5 Faces. The 4 Side Faces are Triangles. The Base is a Square.
Use the information below to complete the problem: and Perform the operation and show that it results in another rational expression. p(x) * q(x)
Answers
|-108| divided by |36|+|17|
Answers
PLEASE HELP PLEASE HELP
Answers
Answer:
B
Step-by-step explanation:
A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
Here is a graph of the cost of all 5 sessions.
A dotplot titled Graph A. A number line labeled session cost (dollars) goes from 40 to 200. 50, 2; 100, 1; 150, 1; 200, 1.
A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE.
Here is a graph displaying the minimum session cost for each possible sample of 3 sessions.
A dotplot titled Graph B. A number line labeled sample minimum session cost (dollars) goes from 50 to 100. 50, 9; 100, 1.
The participant chooses 3 sessions at random from the list of all 5 sessions. The result of the random selection is sessions B, D, and E.
Here is a graph displaying the distribution of session cost for this sample.
A dotplot titled Graph C. A number line labeled session cost (dollars) goes from 40 to 200. 50, 1; 140, 1; 200, 1.
Which of the following gives the correct order of the graphs of the population distribution, distribution of a single sample, and sampling distribution, respectively?
C, A, B
B, C, A
A, B, C
A, C, B
Answers
Answer:
A, C, B
Step-by-step explanation:
Took the test on EDG
Answer:
The answer is D
Step-by-step explanation:
PLSS HELP.
Simplify the expression. Write the answer using scientific notation (7x10^5)^2
Answers
Answer:
[tex]\sf 4.9 \times 10^{11}[/tex]
Step-by-step explanation:
Given expression: [tex]\sf (7 \times 10^5)^2[/tex]
Apply exponent rule [tex]\sf (ab)^2=a^2 \cdot b^2[/tex] :
[tex]\sf \implies 7^2 \times (10^5)^2[/tex]
[tex]\sf \implies 49 \times (10^5)^2[/tex]
Apply exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\sf \implies 49 \times 10^{5 \cdot 2}[/tex]
[tex]\sf \implies 49 \times 10^{10}[/tex]
Scientific notation: [tex]\sf a \times 10^n[/tex]
where [tex]\sf 1\leq a < 10[/tex] and n is an integer
We can write 49 as [tex]\sf 4.9 \times 10=4.9 \times 10^1[/tex]
[tex]\sf \implies 4.9 \times 10^1\times 10^{10}[/tex]
Apply exponent rule [tex]\sf a^ba^c=a^{b+c}[/tex]
[tex]\sf \implies 4.9 \times 10^{11}[/tex]
8. Identify the point corresponding to P.
Answers
Answer:
So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)
The C major key, starting with the middle C, consists of seven notes (white keys on the piano) with the following frequencies.
Note
C
D
E
F
G
A
B
Frequency(Hz)
261.6
293.7
329.6
349.2
392.0
440.0
493.9
Determine the ratio of the note E to middle C.
a.
1.1224
c.
1.434
b.
1.2599
d.
1.3454
Answers
Answer:
b. 1.2599
Step-by-step explanation:
The ratio of the two frequencies is found by dividing the first by the second.
__
(Freq of E)/(Freq of C) = 329.6/261.6 = 1.2599
Is it possible that someone could help me with this?
(I tried to take the best picture a can)
Answers
Answer:
Below.
Step-by-step explanation:
There are 2 outliers:
234, 880.
All the other values range from 485 to 510.