when graphed which equation will yield the same maximum value as the graph of y = -3x^2 + 6x + 9 ?
a) y = -3(x - 1)^2+12
b) y = -3(x + 1) ^2 - 12
c) y = 3(x - 1)^2 -12
d) y = 3(x + 1)^2 + 12

Answer:

-27/7

Step-by-step explanation:

Plug in 19 as x.

3/19+2 is simplified to 3/21 ---> 1/7

19-3 is 16, the square root of that is 4.

1/7 - 4

1/7 - 28/7

there we have -27/7

Answer:

h=14

Step-by-step explanation:

Answer:

The top one, as x increases, y increases too.

Answer:

The answer is A shape with a triangle base and 3 triangular sides.

Answer:

D

Step-by-step explanation:

Good Luck!

Answer:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

y = 12x - 4

m = 12

b = -4

Answer:

the answer will be d=130

Step-by-step explanation:

substruct 110 minus 50 we get 60

Answer:

I have never done this before so I can't say this is the right answer and I also never used this but this is what I got⬇️

Step-by-step explanation:

so the graph shows car A and car B so I connected car B and A to the numbers down bellow and Car A got to 4mL and then I connected car B and it got to 5ML again I can't say this is the right answer

Answer:

I

Step-by-step explanation:

graph is not provided

Answer: 31.41 square units

Step-by-step explanation:

Hi, to answer this question we have t apply the next formula:

Lateral area of a right cone = π x slant height x radius

Radius = diameter /2 = 4 /2 = 2 units

To find the slant height:

Since the altitude, slant and radius forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the slant) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 4^2 + 3^2  

c^2 = 16 +9

c^2 = 25

c = √25

c = 5 units (slant)

Back with the Lateral area formula:

Lateral area of a right cone (LA) = π x slant height x radius

LA = π x 5 x 2 = 31.41 square units  

Answer:

the two numbers are 3 and -4

Step-by-step explanation:

Product:  xy = -12, or x = -12/y

Sum:  x + y = -1, or -12/y + y = -1

Let's multiply all three terms by y to eliminate the fractional terms:

-12 + y^2 = -y, or

y^2 + y - 12 = 0

This factors into (y + 4)(y - 3) = 0, yielding y = -4 and y = 3.

Earlier we found that x = -12/y.  Here, if we choose y = -4, x = -12/(-4) = 3

and so the two numbers are 3 and -4.  Note that 3(-4) = -12, as required, and that 3 - 4 = -1, also as required.

Answer:

x = 10

y = 20

Step-by-step explanation:

In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.

The short leg, x, will be equal to the coefficient of the [tex]\sqrt{3}[/tex]

The hypotenuse will be twice the value of x

Step-by-step explanation:

x2 + 10x + 24

x2 + 6x + 4x + 24

x(x + 6) + 4(x + 6)

(x + 6) (x + 4)

Step-by-step explanation:

see the attachement....

Answer:

(A ) Oldies

Step-by-step explanation:

Goodies

First, we determine the revolution rate per minute of the Goodies.

Revolution rate per minute [tex]=$Number of Revolutions \div $Number of Minutes[/tex]

[tex]=\dfrac{135}{3} =\dfrac{180}{4} =\dfrac{225}{5}=45$ revolutions per minute[/tex]

Since the oldies have a rate of 78 revolutions per minute;

78 rpm. >45 rpm.

We therefore conclude that the Oldies has a greater rate of revolutions per minute.

The correct option is A.

Answer:

a) 18

Step-by-step explanation:

There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:

6×3=18 possible outcomes.

Answer:

y=jx+4

Step-by-step explanation:

The equtaion for slope intercept is y=mx+b. We know that the m is slope and for our problem, the slope is j. The x is always added to the equation. Also the b is the y intercept. For this problem, the y intercept is 4.

Answer:

1 and 4 form a straight angle

Step-by-step explanation:

just this one, all other options make no sense

Answer:

Simplified answer is A and D.

Step-by-step explanation:

Answer:

1 is a

Step-by-step explanation:

Answer:

Option D is correct

Step-by-step explanation:

The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.

Hope this helps!

Answer:

The area of the trapezoid shown above is 660 square inches.

Step-by-step explanation:

It already gives you the formula, so just plug in the numbers given.

[tex]h[/tex] - height (20)

[tex]B_1[/tex] - Base (30)

[tex]B_2[/tex] - Other base (36)

[tex]\frac{1}{2}(20)(30+36)\\\frac{1}{2}(20)(66)\\=660[/tex]

Answer:

x(12x^2+18x)

Step-by-step explanation:

x(12x^2+18x)=12x^(3)+18x^2

Answer:

See below

Step-by-step explanation:

[tex] (x + 15)^2 - 10 = 0\\

(x + 15)^2 = 10 \\

(x + 15) = \pm\sqrt {10} \\

x + 15 = \pm 3.16227766\\

x + 15 = \pm 3.16\\

x = \pm 3.16 - 15\\

x = 3.16 - 15 \: or \: x = - 3.16 - 15\\

x = - 11.84\: or \: x = - 18.16\\

lesser\: x = \boxed{-18.16}\\\\

greater\: x = \boxed{-11.84}\\\\[/tex]

Answer:

210

Step-by-step explanation:

84 / .40 = 210

(to check)

210 X .40 = 84

Answer:

210

Step-by-step explanation:

When working out a percentage for example 20% of 40, I follow 2 simple rules to get to the answer.

⇒ Multiply the percentage by the other number

⇒ Divide the multiplied number by 100

So for the example, Find 20% of 40

⇒ Multiply the percentage by the other number

→ 20 × 40 = 800

⇒ Divide the multiplied number by 100

→ 800 ÷ 100 = 8

So 20% of 40 is 8.

-------------------------------------------------------------------------------------------------------

Using the method above we can set up an equation. We will call the number we want to find 'x'

⇒ Form the equation

→    [tex]\frac{40*x}{100} =84[/tex]

⇒ Multiply both sides by 100 to isolate   [tex]40*x[/tex]

→    [tex]40*x=8400[/tex]

⇒ Divide both sides by 40 to isolate x

→     [tex]x = 210[/tex]

So we know that 40% of 210 is 84. We can use the method at the top to see if our solution is correct

-------------------------------------------------------------------------------------------------------

⇒ Multiply the percentage by the other number

⇒ Divide the multiplied number by 100

So, Find 40% of 210

⇒ Multiply the percentage by the other number

→ 40 × 210 = 8400

⇒ Divide the multiplied number by 100

→ 8400 ÷ 100 = 84

So 40% of 210 is 84.

Answer:

9 degrees Celsius

Step-by-step explanation:

I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.

The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.

Given data:

To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.

The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.

The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

The vertex form of the function is P(x) = -2(x - 9)² + 200.

Comparing this to the general form, the vertex of the parabola is at the point (9, 200).

Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ2

Answer:

Hey mate, here's ur answer:

---------------------------------------------------

-2x^5. 4x^2

=(−2)*x5*4*x2

=−8*x7

=−8x7

--------------------------------------------------

Hope it helps

#stayhomestaysafemate

:D

Answer:

30 years

Step-by-step explanation:

Given;

Average age of women = 27 years

Average age of men = 33 years

Number of women = 4

Number of men = 4

Total number of people in the office = 4+4 = 8

Sum of age of women = mean × number = 27 × 4 = 108 years

Sum of age of men = mean × number = 33 × 4 = 132 years

Total sum of age of people = 108 + 132 = 240 years

Mean age = total sum of age of people in the office/number of people in the office

Mean age of people = 240/8 = 30 years

Answer:

1,3

Step-by-step explanation:

they meet at 1,3 I assume that what ur looking for

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 anddthan 180-150 = 30

Answer:

30

Step-by-step explanation:

because 180-100=80 and 80 + 70 = 150 and then 180-150 = 30

Answer:

Step-by-step explanation:

rectangle and square

mark me as the brainliest pls..