3 years ago

Find the x-intercept of the graph of the linear equation y = - 2 x + 3.

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

The answer is y= -6.

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A car increases, then decreases, its speed. Which table could represent the speed of the car?

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Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

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3 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

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3 years ago

You weld two piece's of steel together. The toral thickness is 33/64 inch. If one piece of steel is 9/32 inch thick, how thick t

Anon25 [30]

Subtract the thickness of the known piece from the total thickness.

Because they have different denominators rewrite them to have the same.

9/32 x 2 = 18/64

Now you have 33/64 - 18/64 = 15/64

The other piece is 15/64 inch thick.

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3 years ago

At one store, 20 percent of the pairs of shoes sold are of men's athletic shoes. Lionel rings up 8 orders which contain one or m

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3 years ago

In a litter, 2 out of 8 kittens are male. What percent of the kittens are female? * 2 points 28% 75% 82%

vladimir2022 [97]

The answer would be 28%

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3 years ago

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