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ruslelena [56]
2 years ago
6

Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation

Mathematics
1 answer:
lakkis [162]2 years ago
3 0

The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

<h3>Area of a rectangle</h3>

Givene the dimensiion of Philip and Laura's pool as:

Length = (x - 5)

Width  = (3x + 2)

Given the area expressed as:

f(x) = (x - 5)(3x + 2)feet

Taking the product will give:

f(x) = 3x^2 + 2x -15x - 10

f(x) = 3x^2 - 13x - 10

Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Lostsunrise [7]

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



6 0
3 years ago
Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all
liubo4ka [24]

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

4 0
3 years ago
Jayden is running laps at track practice. The track is 2/5 kilometers around. Jayden runs 1 lap in 2 minutes. How many minutes d
Tom [10]

Answer:

0.08 minutes for a kilometer.

Step-by-step explanation:

If the track is 25 kilometers, and he runs 25 kilometers in 2 minutes, he runs a kilometer in 2÷25 minutes or 0.08 minutes which is 4.8 seconds.

I'm pretty sure the track isn't 25 kilometer or he can't run a lap in 2 minutes. But if so, the answer is 0.08 minutes.

4 0
3 years ago
Given f(x)=x+7 and g(x)=x-3 what is f(x)+g(x) ? A.2x+4 B.10x C.2x-7 D.-2x+10
Zinaida [17]
F(x)+g(x) = (x+7) + (x-3) =
                  x + 7 + x - 3 =
                  2x + 4

<span>
A.2x+4</span>
7 0
3 years ago
Read 2 more answers
What value of x is in the solution set of 2x-3 &gt; 11 - 5x?
just olya [345]
2x-3 > 11 - 5x
2x + 5x > 11 + 3
7x > 14
x > 14/7
x > 2
3 0
2 years ago
Read 2 more answers
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