Mathematics High School

Given a parabola with the
vertex located at (-2,5) and there
is another point on the parabola
located at (3,7), What is the
equation of the parabola in Vertex
form?

Answers

Answer 1

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Related Questions

Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years

Answers

Answer:

Php 6500

Step-by-step explanation:

Assuming simple interest, the value after 2 years is ...

A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years

A = 5000(1 +0.15·2) = 5000(1.30) = 6500

The maturity value will be Php 6500.

7/8 in lowest terms ?

Answers

Answer:

7/8 simplified to lowest terms is 7/8.

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 7 and 8 is 1

Divide both the numerator and denominator by the GCD

7 ÷ 1

8 ÷ 1

Reduced fraction:

Therefore, 7/8 simplified to lowest terms is 7/8.

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42

Answers

The first equation equals 13
The second one equals 12
to help you discover the answer better I really think the second one

A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?

Answers

The original number of spoons is 958

Let the total number of spoon be x.

The first day, 25 spoons were removed.

So, the remaining spoon (r) is:

[tex]r =x -25[/tex]

15% of the remaining spoon were used.

So, we have:

[tex]15\% \times r =15\% \times (x -25)[/tex]

This 15% represents 140 spoons.

So, the equation becomes

[tex]15\% \times (x -25) = 140[/tex]

Express 15% as decimal

[tex]0.15 \times (x -25) = 140[/tex]

Divide both sides by 0.15

[tex](x -25) = 933[/tex]

Remove brackets

[tex]x -25 = 933[/tex]

Add 25 to both sides

[tex]x= 958[/tex]

Hence, the original number of spoons is 958

Answers

Answer:

y = -3x - 18

Step-by-step explanation:

Subtract 9 from each side

consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C

Answers

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm

Answers

Answer:

20 cm

Step-by-step explanation:

Use the formula

A=4πr^2

Solving for radius

[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441

We are given –

[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]

A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–

[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]

Just use the formulas for the sphere's area to determine the radius.

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]

[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]

Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].

will mark brainleist

Answers

Answer:

Figure a) 2

figure b) 4

figure c) 5

Step-by-step explanation:

Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.

5x-13=2x-9-4+3x

Answers

I got the answer and steps for this math problem,

Answer:

[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]

= 1 5/9 or 1 .5555556.

Step-by-step explanation:

Please comment if I'm

wrong...

PLEASE HELP QUICKLY Determine the equivalent system for the given system of equations: 5x + 3y = 1 4x − 5y = 4

Answers

Answer:

x = 32/67 y = 36/67

Step-by-step explanation:

5x+3y = 4 ------1

14x-5y = 4 -------2

1×5 ; 25x+15y = 20 --------3

2×3 ; 42x-15y = 12 -------4

3+4 ; 67x = 32

x = 32/67

5×(32/67)+3y = 4

y = 36/37

Answer:

2x + 3y = 7

9x − 2y = 4

Step-by-step explanation:

i did the quiz on flvs

The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!

Answers

AB = 5.6
hope this is helpful!

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )

AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]

= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]

= [tex]\sqrt{4^2+4^2}[/tex]

= [tex]\sqrt{16+16}[/tex]

= [tex]\sqrt{32}[/tex]

≈ 5.7 ( to the nearest tenth )

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

Answers

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

Please help please please

Answers

Answer:

Step-by-step explanation:

284-5(7)²

284-(5×49)

284-245

Answer:

The Answer Is 70

Step-by-step explanation:

So first you have do the parentheses, (2+5) = 7

Then do the exponents [tex]7^{2}[/tex] 7.7 = 49

Next do the Multiplying 49.5= 214

Finally Subtract 284-214=70

I Hope This Helps You :)

For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?

Answers

Answer:

t=23

Step-by-step explanation:

Which equation best represents the line?

Answers

Answer:

the fourth one.. y = 3/4x + 4

Solve
x ^ 4 -8x ^ 2 – 9 = 0

Answers

Answer: 0 is the answer

Step-by-step explanation: your welcome its 0

The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)

Answers

Answer:

8.85

Step-by-step explanation:

evaluate the expression for the given value of x.
4x+9 for x =9

Answers

since x=9 plug in 9 into the equation to get

4(9)+9

multiply 4(9) to get

Then add 9

which then equals 45

Answer:

answer is 45

Step-by-step explanation:

4×9=36

36+9=45

Olivia reads 72 pages in 40 minutes. How many pages can she read per minute?

Answers

Answer:

1.8 pages a minute

Step-by-step explanation:

Olivia can read 1.8 pages per minute.

Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time

Answers

Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

How many solutions does this system of equations have?

Exactly one

None

Infinitely many

Exactly two

Answers

Answer:

Infinitely many

Step-by-step explanation:

can i get some help? :') I dont know what im doing

Answers

The chart I've attached is very helpful for these types of problems!

A 270 degree rotation clockwise is (-y, x).

X = 3

Y = -2

V' = (2, 3)

Hope this helps! :)

There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?

Answers

75/5 = 15

15= 1 counsellor for 15 students
so

15 x 12 = 180 students

I seriously don’t understand please help

Answers

Answer:

Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times

−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK

Answers

Answer:

[tex]x \leqslant \frac{ - 17}{6} [/tex]

Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.

What was Tyrone's final score?

Enter your answer in the box.

points

Answers

-108 points

How?

Because -18×6=-108

------(Showed you some proof from above)

How many terms are in the expression 3xy+2x+1

Answers

Answer:

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

help with this pleased

Answers

Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.

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Given a parabola with the vertex located at (-2,5) and there is another point on the parabola located at (3,7), What is the equation of the parabola in Vertex form?

Answers

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Given a parabola with the
vertex located at (-2,5) and there
is another point on the parabola
located at (3,7), What is the
equation of the parabola in Vertex
form?