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3 years ago

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PLS HELP ASAP PLEASE Heidi and Andrew designed two raised flower beds for their garden. Heidi's flower bed was 5 feet long by 3

feet wide, and Andrew's flowerbed was the same length but twice as wide. calculate how many cubic feet or soil they need to buy to have soil to a depth of 2 feet in both flower beds.

2 answers:

olga nikolaevna [1]3 years ago

7 0

Answer:

Step-by-step explanation:

Sidana [21]3 years ago

5 0

First, find the area of both beds!
For Heidi: 5 x 3 = 15
For Andrew: 5 x (3 x 2) = 30 ft

Added together, the beds have an area of 45 feet. To place soil with a depth of 2 feet, simply multiply by 2. You can think of this as finding the volume of the beds, which is length x width x height, or area x height. The answer is 90 cubic feet!

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PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

Liam buys a motorcycle for $2,900. Its value depreciates annually at a rate of 12%. At the end of t years, it has a value of les

KIM [24]

It is given in the problem that

Liam buys a motorcycle for $2,900

Its value depreciates annually at a rate of 12%=0.12

At the end of t years, it has a value of less than $2,000

The exponential equation modeling this situation can be written as below

$2900(1-0.12)^t$

The inequality representing its value less than $2,000 can be written as below

$2900(1-0.12)^t$

4 0

2 years ago

Tom drank 1 1/4 quarts of water and his sister drank 1.75 who drank the most water

Genrish500 [490]

Answer:

his sister bc 1.75 is 1 3/4

Step-by-step explanation:

4 0

2 years ago

Great! You will purchase snacks for the painting class. You have a budget of $40. You want to buy fruit and granola bars.

goldfiish [28.3K]

Forgot the question hahaha

8 0

3 years ago

Can you help me please ??

tiny-mole [99]

Answer:

25 pages.

Step-by-step explanation:

all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.

3 0

3 years ago