For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range.
The vertex is (1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y < 2.
O The vertex is (-1, 2), the domain is all real numbers, and the range is y> 2.
The vertex is (-1,2), the domain is all real numbers, and the range is ys 2.

Step-by-step explanation:

[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the √ leaving

-6x=√3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

∴ x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

∴ x = 250

∵ x represents the number of hamburgers

∴ There were 250 hamburgers sold on Saturday.

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

Answer:

B. X = 76, y = 63, z = 104

Step-by-step explanation:

46+58+x=180

104+x=180

x=180-104

x=76

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Answer:

15 would be the correct answrr

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

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Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

b. the graph of f(x) is a horizontal stretch of the graph of the parent function.

The True statement is

The graph of f(x) is a horizontal stretch of the graph of the parent function.

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).

We have,

f(x) = -2/3 |x+4| - 6

So, -2/3 |x+4| - 6 = 0

-2/3 |x+4| = 6

|x+4| = -9

so, the vertex is not (-4, 6).

Here the -6 in the function shows the horizontal stretch.

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Answer:

x=76

Step-by-step explanation:

-4(x - 26) = -200

x-26=50

x=50+26

x=76

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Step-by-step explanation:

-4x+104=-200

-4x=-200-104

-4x=-304

x=-304÷(-4)

×=76

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

Answer:

Step-by-step explanation: 12r-6+1= 12r-5

-8+12r+3= 12r-5

A and B

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

Answer:

it would take the adverage of 10 weeks for her to lose 5 pounds did that help?

Step-by-step explanation:

Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

The solution of the equation by the quadratic formula are, {±2/3, ±i}

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

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Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.