Write the equation of the parabola in vertex form.
vertex (1,3), point (2, - 1)

Answers

Answer 1

Answer:

[tex]y=-4x^2+8x-1[/tex]

Step-by-step explanation:

I am assuming the parabola has his axis parallel to the y axis. You should remember from theory that the axis (and thus the first coordinate of the vertex) is [tex]-\frac b{2a}[/tex] and then you have two points of passage.

[tex]-b/2a = 1\\a(1)^2 +b(1)+c =3\\a(2)^2+b(2)+c=-1\\[/tex]

Let's solve subtracting the 3rd from the second and keeping the first as is (ok, slightly rewriting it).

[tex]2a=-b\rightarrow 2a+b =0 \\a+b+c=3\\4a+2b+c=-1\\III-II: 4a+2b+c-a-b-c=-1-3 \rightarrow 3a+b=-4 \rightarrow a +(2a+b)=-4\\a= -4; b=8; c =3 +4 -8 =-1[/tex]

Answer 2

My answer was incorrect and I don't know how to delete an answer


Related Questions

what is this answer
6²+-14÷2-(-8)

Answers

I got 37, hope that helped:)

Which graph passes the vertical line test?
A.

B.

C.

D.

Answers

Answer:

Graph C.

Step-by-step explanation:

The rest of the graphs fail the vertical line test. This means some inputs (x values) contain more than one output (y value).

Answer:

C

Step-by-step explanation:

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function.

answer choices A, B, and D intersect at more than one point vertically. Therefore, C is the correct answer.

Mario zombie walks at a rate of 2 miles per hour looking for a brainy snack. If it looks 514 hours, how many miles will it walk?

Answers

Answer:

1,028 miles

Step-by-step explanation:

multiply 514 by 2

Answer:

1028

Step-by-step explanation:

You just times 514 by two, because if it took 514 hours and every hour he goes 2 miles he would have went 1028 miles.  :)

is the symbol used for the universal set​

Answers

Answer:

I believe "U" is the symbol for your answer hope this helps!

Step-by-step explanation:

guys i really need help w this and it’s due in like 3 hours. i am panicking and none of my friends are helping at all PLS HELP GUYS i am so close to passing this assignment

Answers

Answer:

-221

Step-by-step explanation:

Rewrite the equation in Ax+BY =C form please and thank you

Answers

Answer:

3x - y = 20

a = 3, b = -1, and c = 20

Step-by-step explanation:

y + 2 = 3(x - 6) => y + 2 = 3x - 18 => 3x - y = 20

Please I need help with this question can you answer it for me please
Say that you borrowed $200 from your friend and returned $220 after a year. What are the principal and interest amounts in this scenario?
A.
Principal = $200, Interest = $220
B.
Principal = $200, Interest = $20
C.
Principal = $220, Interest = $200
D.
Principal = $220, Interest = $20
what is the answer.

Answers

Answer:

B. Principal = $200, Interest = $20

Step-by-step explanation:

Principal + Interest = Total

We have:

Principal = 200 and Total = 220

The interest is:

220 - 200 = 20

Correct choice is B

Total=$220

Principal=$200

Interest:-

Total-Principal220-200$20

Option B

a) −
1
2 ∈ Z b) 5 ∈ N c) 3,1(4) ∈ (R − Q) d) √17 ∈ R

e) −
√64
4 ∈ Z f)ඥ0,36 ∈ Q

Answers

Answer:

what sorry

Step-by-step explanation:

can you please mark me as brainlist please

Suppose that a loan of $4500 is given at an interest rate of 12% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
(b) Find the amount owed at the end of 2 years.
si]
X
$
?.

Answers

4,500 x 12/100 = 540
540+4,500= 5,040
In a year =
5,040 x 12=$60,480
2 yrs = 60,480 x 2 = $120,960

The required solutions are as  

(a) The amount owed at the end of 1 year is $ 5,040.
(b) The amount owed at the end of 2 years is $5644.8.

As mentioned in the question, a loan of $4500 is given at an interest rate of 12% compounded each year.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here

(a)
The amount owed at the end of 1 year

= 4,500 × 12/100
= 540

Amount = 540+4,500
            = $5,040

(b)

The amount owed at the end of 2 years
= 5,040 × 12/100
= 604.8
Amount = 5040 + 604.8
Amount = $5644.8

Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ2

Question 7 Evaluate 2y + 3(y - 5) when y = 10 57 35

Answers

Answer:

Sustitute the y-values into the equation.

For y=10,

2(10) + 3 (10 - 5)

20 + 3(5)

20+15

35

For y=57,

2(57) + 3 (57 - 5)

114 + 156

270

For y=35

2(35) + 3 (35 - 5)

70 + 3(30)

70 + 90

160

:)

Answer:

Step-by-step explanation:

monert

how do I put -1.2 on a number line?how do I put -3.25 on a number line?how do I put 0.5 on a number line?

Answers

Answer:

-3.25,-1.2 then after 0 you put 0.5

Step-by-step explanation:

   -3  -2.5  -1 -0.5 0 0.5 1  1.5 2  2.5      

___l__l__l__l__l__l__l__l__l__l_____________

  -3.25      -1.2          0.5

PLEASE HELP!! URGENTT

Answers

Answer:

ST = 164.21 m

Step-by-step explanation:

The fraction RU/UV have to be equal to RS/ST, because the triangles are similar:

190/120 = 260/ST

Multiply both sides by ST:

190ST/120 = 260

Multiply both sides by 120:

190ST = 260•120

Divide both sides by 190:

ST = 31200/190

ST = 164.21 m

Please help me with this!

Answers

Step-by-step explanation:

step by step explaination is in the photo and the final answer is =

a 6-pack of undershirts cost $13.98 this $3.96 less than the cost of buying 6 individual shirts. if each undershirts costs the same amount, how much does each undershirts cost when purchased individually

Answers

Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

ILL GIVE BRAINLIST!! pls help also dont mind my answer, its random.​

Answers

B is the correct answer

NO LINKS PLZ AND THANK U
PLZ HELP ME ASAP WITH THIS ONE Question 6 (2.5 points)
Retake question
Bonus Question:

What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?

Question 6 options:

y=−2x+8

y=−2x+4

y=12x+4

y=12x+8

Answers

Answer:

Answer: y = -2x+8

Point slope formula y - y1 = m(x - x1).

If a chicken weight is 3 3/4 pounds, how many ounces those it has?

Answers

Answer:

60 ounces

Step-by-step explanation:

Answer:

i belive its 60

Step-by-step explanation:

1 pound = 16 ounces

3/4 pound = 12 ounces

3 3/4 x 16 = 60

how to find domain and range of a function

Answers

Answer:

The domain is found depending on the information you're given. In a table, the domain is found by taking all the x values given and listing them least to greatest. Same with ordered pairs. In a graph, the domain is found by first seeing if there are any restrictions and then find the x values that work and have one output.

The range is found the same way, but with the y values.

Hope this helps!!

evaluate the expression if x=9 and y=2
5x+y
please hurry multiple choice question
Options: 19, 45, 47, and 61
WILL MARK BRAINLIEST

Answers

Answer:

47

Step-by-step explanation:

x=9 y=2 5x+y= so you need to multiply x (9) by 5 9x5= 45 45+2=47

47 is the answer cause it’s the closest 5x+y (x=9)(y=2.5)
5(9)+2.5
45+2.5
= 47.5
Pls mark brainlest!

Calculate the area of this triangle.
14 cm
11 cm
18 cm

Answers

Answer:

73 cm (Estimated)

Step-by-step explanation:

Let's use hero's formula to solve this.

=> 1/2(14 + 11 + 18) = S

=> 1/2(43) = S

=> S = 21.5

√s(s - a)(s - b)(s - c)

=> √21.5(21.5 - 14)(21.5 - 11)(21.5 - 18)

=> √21.5 x 7.5 x 9.5 x 3.5

=> 73.2226911551 = Area of triangle

=> 73 cm² (Estimated)

Hoped this helped.

base x height divided by 2= 73cm

A company has developed a training procedure to improve scores on the
SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with s = 90. Assuming u = 500 for the math SAT, test
the null hypothesis. Did the training significantly improve scores (a = .05,
directional)?

Answers

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Step-by-step explanation

Step(i):-

Given sample mean (x⁻ ) = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ : (μ) =500

Alternative Hypothesis : H₁ : μ ≠ 500

Step(ii):-

Test statistic

t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }

t = \frac{517 -500}{\frac{90}{\sqrt{100} } }

t = 1.717

Level of significance

∝ = 0.05

t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Conclusion:-

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Identify the equation that describes the line in slope-intercept form. slope =3, point (2,−4) is on the line

Answers

Answer:

[tex]y=3x-10[/tex]

Step-by-step explanation:

We identify the equation by using the slope-intercept form

[tex]y=mx+b[/tex]

[tex]m=3[/tex]

[tex](2,-4)\\(x, y)[/tex]

What is the value of f(-1/4)?

Answers

Answer:

The x-value we need to substitute into the equation is -1/4.

When we substitute,

f(-1/4)=-8(-1/4)+4

f(-1/4)=2+4

f(-1/4)=6

:)

Whats (8x+10) please help me T-T

Answers

Answer:

18x

Step-by-step explanation:

8·x=8x+10=18x

if a rectangle is 8 in long and 6 in wide how many one square inch tikes are needed to cover its area

Answers

Answer:48 one square inch tiles

Step-by-step explanation:

The square has an area of (8x6)=48in^2.  If we place 1 in^2 square tiles in a line 8 across (8 inches) and 6 down (6 inches), there will be 8x6 = 48 one square inch tiles.

The sales tax rate in a certain city is 8%. Find the tax charged on a purchase of $600, and the total cost.

Answers

Answer:

480

Step-by-step explanation:

Do

600 multiplied by .8

6х +3 = 4x+9
What’s x = ?

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

here you are

Hudson Nissan of Charleston SC needs to sell Nissan Maximas as quickly as possible. The price on the cars are discounted by 1/5. If the original price is $40,000, what is the new price?
A.$45,000
B.$35,000
C.$32,000
D.$30,000

Answers

The answer is A )$45000

50 km/h east is an example of

acceleration

velocity

deceleration

time

?? help! K12 test.

Answers

Acceleration is the answer

Divide, explain.

1. 36.45 divided by 0.09
2. 90 divided by 0.36
3. 18.88 divided by 1.6
4. 5.6372 divided by 0.17

I will give the brainliest.

Answers

Answer:

1.36.45÷0.09=N

=45

2.90÷0.36=N

=250

3.18.88÷1.6=N

=11.8

4.5.6372÷0.17=N

=33.16

the answer in #1 is 45

#2 is 250 #3 is 11.8 #4 is 33.16

Other Questions
Let C be the curve parametrized by c(t) = (t, t^2/2) for 0 Which organelle ensures that after cell division each daughter cell has the correct number of chro-mosomes?(a) the nucleus(b) the endoplasmic reticulum(c) the centriole(d) the cytoskeleton Reescribe las oraciones usando adverbios relativos.Juega con tus amigos en el momento en que la cancha est libre.Juega con tus amigos cuando la cancha est libre.Question 1 with 1 blankLa ciudad en la que vivo tiene doscientos mil habitantes.1 of 1Question 2 with 1 blankLo har del modo en que t me has dicho.1 of 1Question 3 with 1 blankEn la poca en que nac, mis padres vivan en el extranjero.1 of 1Question 4 with 1 blankTe parece ms agradable el lugar en que yo hago deporte?1 of 1Question 5 with 1 blankMe gusta la manera en que crecen esas flores. DIRECTION: Create your own mathematical world problem that involves division of fraction. you base your problem from the given data or facts. then show your solution Ana work in the office 2 1/2 hours in 1/5 dayneed help plss Fill in the blanks to explain theevents leading up to the firstall-women spacewalk.the all women spacewalk was plan for march. It was delayed because the astronauts didnt have enough spacesuits that were (A: easy to make B: hard to fix C: safe to use) to solve the problem the astronauts (A: bought B: Created C: prepared) another spacesuit. The historic spacewalk finally happened a few (A: years B: months C: weeks) later Which expression is the factorization of x2 + 10x + 21?(x + 3)(x + 7)(x + 4)(x + 6)(x + 6)(x + 15)(x + 7)(x + 14) what is the difference between who vs whom Which component is likely to be a performance bottleneck on a workstation used to edit digital movies Which of the following is not a future impact of global warming? Less land Less methane More drought Human migration (THE ANSWER IS A)the court of appeals performs the following actions except: a. confirm the district courts ruling b. reverse the district courts ruling c. send the case back for re-trial d. re-try the case 3 friends went to lunch and total was $38.49. how much would it have cost 7 friends What is the sum of the measures of the interior angles of a decagon? who discovered earth was like a big magnet Jenna is training for a triathlon and wants to eat a diet with the ratio of carbohydrates to protein to fat that is 4:3:2 what percent of her diet is protein does cool air have more or less air pressure than warm air PLEASEE HELP!!!!!!!!! Can someone help me with this graph math problem please. que sigunifica el refran :"quien oye anula dores,nunca espera otro premio Hurry I WILL BE MARKING BRAINLIST FOR HELP ASAP Please help me finish this !