HELPP!!!!!!!!!!!!!!!!

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

#SPJ2

Answer:

it would be c because it is plotted correctly

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Answer:

32,322,237 million or 3.23million

Step-by-step explanation:

Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt

Applying the formula given above

N=Noe^rt

No = 2.62 million

r = 3.5% = 0.035

t = 2010 - 2004 = 6 years

N = 2.62 × e^6 × 0.035

N = 3.2322365171 million

= 32,322,237 millon

Approximately = 3.23 millon

Given:

The expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

It can be rewritten as:

[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]

Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].

Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

Answer:

2.25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

for every 400 meters aarav runs bahir runs 500

when bahir is at 2000 aarav is at 1600

Answer:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Step-by-step explanation:

Puesto que se conocen dos ángulos seguidos y un lado adyacente tanto en uno como en otro triángulo, se debe emplear el criterio Ángulo-Lado-Ángulo (ALA) para determinar que los triángulos citados en el enunciado son congruentes.

Answer:

ok all you have to do is solve the equation

Answer:

A chocolate bar = 2 dirham

amount of money Alyazia spends      = 18 dirhams

on chocolate bars for her siblings are

∴ the number of chocolates Alyazia are = 18/2 = 9

Alyazia bought 9 chocolates

hope this answer helps you.....

Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

Answer:

isosceles right triangle

Step-by-step explanation:

In this question it is given that the two sides of easel are same.

A triangle formed has three sides - two of easel and one of the table itself.

The angle formed in 90 degrees (right angle)

Hence the triangle is a isosceles right triangle

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Answer:

Step-by-step explanation:

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:

Answer:

just use the line on the graph :D

Step-by-step explanation:

f(6) =2

the maximum is 7

hope this helps!

Answer:

4355646

Step-by-step explanation:

45345

Answer:

least common denominator is 4

Step-by-step explanation:

3/1+8/4=20/4 which is 5

Answer:

p=9

Step-by-step explanation:

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

100.000 liters of water would b your answer.

Step-by-step explanation:

if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000

Answer:

22%*45=

(22:100)*45 =

(22*45):100 =

990:100 = 9.9

32.5%*250=

(32.5:100)*250 =

(32.5*250):100 =

8125:100 = 81.25

Answer:

1) 9.9

2) 81.25

Step-by-step explanation:

1)

22% = 0.22

45(0.22) = 9.9

2)

32.5% = 0.325

250(0.325) = 81.25

Answer:

Triangle!!

Step-by-step explanation:

If you cut the pyramid in half, it will leave triangles. Hope this helps!

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Answer:

Um what’s this language?

Step-by-step explanation: