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LiRa [457]
3 years ago
9

Find the x-intercept of the graph of the function y=3/2x-6

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

x-int. = 4, if the equation is written correctly

Step-by-step explanation:

To find x- intercept y should be =0,

y = 0

y=3/2x-6

0= 3/2x - 6

6 *2/3= 3/2 x* 2/3

4 = x

x- int = 4

You can see it also from the graph

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Simplify x to the 1/3 power (x to the 1/2 power + 2x to the 2 power )
OverLord2011 [107]

Answer:

x^(5/6) + 4(x^(7/3))


Step-by-step explanation:

Simplify x to the 1/3 power MULTIPLIED BY (x to the 1/2 power + 2x to the 2 power )


Simplify x^(1/3) × (x^(1/2) + (2x)^2)

= x^(1/3)(x^(1/2)) + x^(1/3)((2x)^2)

= x^(1/3+1/2) + 4(x^(1/3+2))

= x^(5/6) + 4(x^(7/3))


x^(1/3) is y such that y^3 = x

(x^(1/3) × x^(1/3) × x^(1/3)) = x^(1/3+1/3+1/3) = x^1 = x


x^(1/2) = √2 = y such that y^2 = x

(2x)^2 = 4x^2






6 0
3 years ago
Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjace
shtirl [24]

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

6 0
3 years ago
A cone has a height 25 ft and a radius of 7 ft. Is a reasonable that the volume of this cone is 100 ft3? Why or why not?​
Nostrana [21]

Answer:

No

Step-by-step explanation:

the radius squared is 49 times π, which is roughly 3 means the area of the base is roughly 150 ft².

This means that one third of the height cannot be more than 100 / 150 = 2/3 of a foot. That makes the height about 2 ft, much less than the reported 25 ft.

3 0
3 years ago
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Tanzania [10]

Step-by-step explanation:

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6 0
4 years ago
The cone had a radius of 4.5 inches and a height of 6 inches. What is the volume of this cone?
pochemuha

Answer:

125.8983

Step-by-step explanation:

Use the formula for volume of a cone: v= (1/3)(3.14)(radius squared)(height) so v = (1/3)(3.14)(20.25)(6) = 125.8983

4 0
3 years ago
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