Answers
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Related Questions
juan visited a candy store
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Answer:
ok lol
Step-by-step explanation:
what is the estimate of 45.15
Answers
Answer:
The estimate would be:
(one of them :)
45 (if your doing the entire number)
0 (if your rounding out of 100)
45.2 (nearest hundredth)
45.0 (nearest tenth)
50 (nearest tens)
Hopefully one of these works for you.
Evaluate 51x3 - 21 + 7 when x = -2.
DONE
Answers
Answer:
-320 i guess
Step-by-step explanation:
51*-2*3-21+7=-320
If you see such unnecessary question like this, please report it. This person always asks others for bad things. Please report him. That's your responsibility as a polite Brainly User. Thank You !
Answers
Answer:
You are right
Step-by-step explanation:
Have a nice day
Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
Answers
1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]
2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]
A coin is flipped 10 times. What is the probability of getting exactly 4 tails?
Answers
Answer: The probability is approximately 20.51%.
Step-by-step explanation:
Rationalize the denominator.
9-10/2
V2+1
Answers
Answer:
d. 19√2 -29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]
Answer:
Step-by-step explanation:
Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:
Answers
Answer:
(a) f(x) = -3x +6
Step-by-step explanation:
Solve for y, then write as a function.
3y +9x = 18 . . . . . . given
y +3x = 6 . . . . . . . . divide by 3
y = -3x +6 . . . . . . . subtract 3x
f(x) = -3x +6 . . . . . written using function notation
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
O f(x) = -3x - 6
O f(x) = -3x - 4
O f(x) = -3x + 16
O f(x) = -3x + 14
Answers
Answer:
-3x + 14
Step-by-step explanation:
Expand -3(x-5)
. -3 * x = -3x
. -3 * -5 = 15
So
. y+1 = -3x + 15
Subtract 1 from both sides so that y is the subject
. y = -3x + 14
Now you can juse replace y with f(x) since theyre basically the same thing
true or false : If a number Y has Z positive integer factors, then Y and 2Z are integer factors. If true explain how
Answers
Here's ur perfect answer
paulita reads an average of 20 pages each day she has 6 days to read 10 pages will she finish her reading in 6 days explain?
Answers
Answer:
Yes
Step-by-step explanation:
If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.
What’s 28.50 simplified
Answers
Answer:
28.5
Step-by-step explanation:
hope this helps
Answer:
57/2
Step-by-step explanation:
I don't understand the context of this.
Matrix fractions 1/2+2/6. I don't understand the steps in this.
Answers
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?
Answers
Answer:
358 steps
Step-by-step explanation:
How much did i paint if i painted 3/4 of 3/4 of a wall
Answers
Answer:
(4) 1/4x = 3/4 (4)
1x=3
Step-by-step explanation:
3/4 x
÷ = ÷
1/4 1
(4) 1/4x = 3/4 (4)
1x=3
How much would $100 invested at 6% interest compounded monthly be
worth after 20 years? Round your answer to the nearest cent.
Answers
Answer:
331.02
Step-by-step explanation:
Tell whether the fractions are equivalent. Write = or
2/3 ______ 4/6
Answers
[tex]\dfrac 23 = \dfrac{2 \times 2 }{3 \times 2} = \dfrac 46[/tex]
Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
O A. y = 5x
OB. y = 5x + 10
O C. y = x
OD. y = 5x - 1
Answers
Answer:
y =5x
Step-by-step explanation:
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
(5 - 0) = m(1 - 0)
5 = m(1)
5 = m
[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]
y - 5 = 5(x - 1)
y - 5 = 5x - 5
y = 5x -5 + 5
y = 5x
what is the value of x in the solution to the system
x+y=10
x-y=4
Answers
Answer:
x = 7; y = 3
Step-by-step explanation:
I used the Trial and Error Method and found that x = 7 and y = 3
=> 7 + 3 = 10
=> 10 = 10. ✔
=> 7 - 3 = 4
=> 4 = 4. ✔
Therefore, x = 7 and y = 3
Hoped this helped.
Does the equation Y equals 2X +3 represent a proportional relationship
Answers
Plug in 0 for x
Y = 2(0) + 3
Y = 3, therefore the point (0,0) cannot work because there’s a y- intercept.
Proportional means you will start at the point of origin (0,0) but this case, that is not possible.
Not proportional
8m – 5 for m = 9 answer please
Answers
Answer:
= 67
Step-by-step explanation:
8m – 5 for m = 9
~Substitute
8(9) - 5
~Simplify
72 - 5
~Subtract
67
Best of Luck!
Can somebody plz report and ban CARDAA13 and CARIZASHINE
Answers
Answer:
what did they do?
Step-by-step explanation:
mary,jose and aldo served a total of 82 orders monday at school cafeteria. mary served 6 more orders than jose. Aldo served 2 times as many orders as mary. how many orders did they each serve?
Answers
Answer:
See down
Step-by-step explanation:
Mary served 22 orders, Jose served 16 orders and Aldo served 44 orders:
(Mary) 22 + (Jose) 16 + (Aldo) 44 = 82
simplify by expressing with radicals n√x^3^n
Answers
We can work with the exponents to simplify our expression, and we will get:
[tex]\sqrt[n]{x^{3n}} = x^3[/tex]
How to simplify the expression?Remember that a root of degree n is equivalent to an exponent of 1/n.
This means that we can rewrite a root of degree n as:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Then our expression:
[tex]\sqrt[n]{x^{3n}}[/tex]
Can be rewritten as follows.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]
Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.
Now we can take the product of the exponents to get.
[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]
You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.
That is the expression simplified.
Learn more about exponents at:
https://brainly.com/question/847241
#SPJ1
which ordered pair would be plotted in quadrant 3
Answers
Answer:
(-5,-9)
Step-by-step explanation:
If 15 points is 13 cents how much would 5000 be?
Answers
Answer: at least 50 dollars
Step-by-step explanation:
Step-by-step explanation:
15 points ⇒ 13 cents5000 points ⇒ xCross-multiply to find x:
x = 5000*13/15x = 4333 cents or $43.33Choose the inequality that represents the following graph
Answers
: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80
Answers
Step-by-step explanation:
their are total 12 sandwiche rolls in a dozen so,
price of 12 sandwiche rolls are $1.50
so, cost of 1 sandwich roll = 1.50/12 = $0.125
now,
cost of 30 sandwich rolls = 30 × 0.125 = $3.75
therefore, option C is correct.
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Inequalities definition
Answers
Answer:
a inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
hope it helps :)
Answer:
In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities. If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
(C+X)/X
can be simplified as:
Answers
[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]
it's can simplify sorry