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3 years ago

What is the x-coordinate of the vertex of the parabola whose equation is y=3×^2+9×

Mathematics

1 answer:

vovikov84 [41]3 years ago

8 0

Answer:

Step-by-step explanation:

y = 3x² + 9x

= 3(x² + 3x)

= 3(x² + 3x + 1.5²) -3·1.5²

= 3(x+1.5)² - 6.75

vertex (-1.5, -6.75)

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Does anyone have the answers for the rest of this or know the answers ?

irga5000 [103]

Answer:

a) $4x^4-4x^3-16x^2+16x$

b) $4x^4-4x^3-16x^2+16x$

5. Yes

Step-by-step explanation:

The distributive property is:

$(a+b)(c+d)=ac+ad+bc+bd$

It can be extended to a lot of terms as well.

We will use this to multiply both of the probelms shown.

4 a)

$(4x^2-4x)(x^2-4)=(4x^2)(x^2)-(4)(4x^2)-(4x)(x^2)+(4x)(4)=4x^4-16x^2-4x^3+16x=4x^4-4x^3-16x^2+16x$

The answer is $4x^4-4x^3-16x^2+16x$

4 b)

$(x^2+x-2)(4x^2-8x)=(x^2)(4x^2)-(8x)(x^2)+(x)(4x^2)-(8x)(x)-(2)(4x^2)+(2)(8x)=4x^4-8x^3+4x^3-8x^2-8x^2+16x=4x^4-4x^3-16x^2+16x$

The answer is $4x^4-4x^3-16x^2+16x$

5. Yes

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3 years ago

HELP!!! Choose the best answer.

Romashka-Z-Leto [24]

Answer:

the third one

Step-by-step explanation:

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Question 4 Multiple Choice Worth 1 points)

Crank

Answer:

-4

Step-by-step explanation:

I calculated it straight forward. lol

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The farmer needs to buy fertilizer to spread on his garden. The garden is a 20 x 15 rectangle. A bag of fertilizer covers 30 ft.

Ainat [17]

Answer:

$10$

Step-by-step explanation:

The area of a rectangle is given by $A=lw$ , where $l$ is the length of the rectangle and $w$ is the width of the rectangle. Therefore, the area of a 20 x 15 rectangle is equal to $20\cdot 15=300\:\mathrm{ft^2}$ .

Since one bag of fertilizer covers 30 square feet, the farmer needs $\left \lceil \frac{300}{30}\right \rceil=\boxed{10}$ bags of fertilizer.

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3 years ago

Read 2 more answers

How do you solve 4x - 18 < -x -3

GaryK [48]

Answer:

x<3

Step-by-step explanation:

--add 18--

$4x-18+18$

--simpifly--

$4x$

--add x--

$4x+x$

--simpifly--

$5x$

--divide both side by 15--

x<3

sorry for late

Red

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3 years ago

What is the x-coordinate of the vertex of the parabola whose equation is y=3×^2+9×​

What is the x-coordinate of the vertex of the parabola whose equation is y=3×^2+9×