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2 years ago

Can someone please help me with this?

Mathematics

1 answer:

Svet_ta [14]2 years ago

3 0

Increasing: (-4,-4)
Decreasing: (4,-2)

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please hurry and answer 55 + 7a = 19

hichkok12 [17]

Answer:

a = -36/7

Step-by-step explanation:

55 + 7a = 19

(55 - 55) + 7a = (19 - 55)

7a = -36

7a/7 = -36/7

a = -36/7 the fraction can't be simplified any further

3 0

2 years ago

The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

A 50-foot flagpole is at the entrance of a building that is 300 feet tall. If the length of the flagpole's shadow is 30 feet at

Soloha48 [4]

The equation you can use to solve the problem is;

50/30 = 300/x

Next Cross Multiply

50x = 9000

x = 9000/50

x = 180

The building's shadow is 180 feet tall

7 0

2 years ago

What is the volume of the figure?

Brut [27]

Do you have a better picture?

8 0

2 years ago

Y=2(x+1)^2 has how many real roots

oee [108]

The equation y= 2 $(x+1)^2$ has one real root and that is x=-1.

What is real roots of the equation?

We are aware that when we resolve a linear or quadratic equation, we always arrive at the value variable of the equation, or, to put it another way, we always locate the equation's solution. This "solution" is what we refer to as the real roots. For instance, when the equation $X^2$ -7x+12=0 is solved, the actual roots are 3 and 4.