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3 years ago

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

6 0

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Anastasy [175]3 years ago

5 0

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

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X/3 = 5/x-1 cross multiply

defon

15/2x-1
................

8 0

2 years ago

Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

3 years ago

Julian saved between $ 30 and $ 52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money

maks197457 [2]

Y = (30 + 52) * 2

Y = (82) * 2

Y = 164

Daniela saved $164

3 0

3 years ago

What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.

olga55 [171]

Answer:

The slop is undefined

i.e. $m=\infty$

Step-by-step explanation:

Considering the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

As the points are (7, -4) and (7, 0)

Here:

(x₁, y₁) = (7, -4)

(x₂, y₂) = (7, 0)

$\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}$

$=\frac{0-\left(-4\right)}{0}$

$=\infty$

Therefore, the slop is undefined i.e. $m=\infty$

5 0

3 years ago

how does kasey situation change . the function? write a new function k(t) to represent kaseys account balance to any year t

rjkz [21]

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6 0

2 years ago