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timama [110]
2 years ago
15

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.
Mathematics
2 answers:
olga nikolaevna [1]2 years ago
7 0

Answer:

Step-by-step explanation:

Sidana [21]2 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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Let ​ f(x)=x2+5x−36 ​. Enter the x-intercepts of the quadratic function in the boxes.
san4es73 [151]
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x^2-5*x-(36)=0 

Step by step solution:<span> Step 1:</span> Trying to factor by splitting the middle term

<span> 1.1 </span>    Factoring <span> x2-5x-36</span> 

The first term is, <span> <span>x2</span> </span> its coefficient is 1.
The middle term is, <span> -5x </span> its coefficient is  - 5.
The last term, "the constant", is <span> -36 </span>

Step-1: Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2: Find two factors of  -36  whose sum equals the coefficient of the middle term, which is - 5.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9</span><span>     -9   +   4   =   -5   That's it</span></span>


Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  4 
                     <span>x2 - 9x</span> + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors :
                    x • (x-9)
              Add up the last 2 terms, pulling out common factors :
                    4 • (x-9)
Step-5: Add up the four terms of step 4 :
                    (x+4)  •  (x-9)
             Which is the desired factorization

<span>Equation at the end of step  1  :</span> (x + 4) • (x - 9) = 0 <span>Step  2  :</span>Theory - Roots of a product :

<span> 2.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 2.2 </span>     Solve  :    x+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
 </span>                     x = -4 

Solving a Single Variable Equation :

<span> 2.3 </span>     Solve  :    x-9 = 0<span> 

 </span>Add  9  to both sides of the equation :<span> 
 </span>                     x = 9 

6 0
2 years ago
Read 2 more answers
Find the product: (30 gallons 3 quarts 1 pint) × 5
SpyIntel [72]
30 gallons * 5 = 150 gallons

3 quarts * 5 = 15 quarts 

1 pint * 5 = 5 pints

Four quarts in a gallon: 15/4 = 3 gallons, 2 quarts

2 pints in a quart: 5/2 = 2 quarts, 1 pint

2 quarts + 2 quarts = 1 gallon

150 + 3 + 1 gallons + 1 pint = 153 gallons, 1 pint.
4 0
2 years ago
Read 2 more answers
Let f(x)=−3x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u
deff fn [24]
<h2>Answer:</h2>

Ques 1)

                   g(x)=-12x+48

Ques 2)

                 g(x)=|3x|+4

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

    f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

  f(x) →  f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48

Ques 2)

We know that the transformation of the type:

  f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

                 g(x)=|3x|+4

4 0
2 years ago
Moussa's family took a road trip to the Grand Canyon. Moussa fell asleep after they
Alisiya [41]

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

4 0
2 years ago
You could win a giant jar of jelly beans if only you could guess how many are in the jar. You find a smaller jar such that the g
Gennadij [26K]

The giant jar of jelly beans is 5 times the size of the smaller jar. If there are 83 jelly beans in the smaller jar, the giant jar can be represented as 5(83).

5(83) = 415 jelly beans

4 0
2 years ago
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