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ale4655 [162]
3 years ago
9

What is the smallest integer to have three different prime factors?

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Step-by-step explanation:

A prime number is a positive integer which have exactly 2 distinct factors, 1 and itself.

The first three prime numbers are 2, 3 and 5.

Hence the smallest integer to have three different prime factors = 2 * 3 * 5 = 30.

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konstantin123 [22]
Is she making slime
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3 years ago
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Helppp i need answer now will give points
Papessa [141]

Answer:

f(g(3)) = 3

Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).

g(x) = 3(3) - 4

Solve.

= 9 - 4

g(x) = 5

Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).

f(5) = 2(5) - 7

Solve.

= 10 - 7

f(5) = 3.

f(g(3)) = 3

#teamtrees #WAP (Water And Plant)

4 0
3 years ago
Explain why the hypotenuses of the triangles below have the same slope.
andrew11 [14]
The hypotenuse of the two triangles have the same slope because they are in the same straight line and the slope of a straight line is constatn.

You can prove that in this way:

slope = rise / run = Δy / Δx

For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2

For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2

So, this proves that the two slopes are the same: 1 / 2
3 0
4 years ago
Uhlt test
Olegator [25]

Answer:

Answer:

The y-intercept is -21. The x-intercept is -10.5 or -\frac{21}{2}.

(0, -21) and (-10.5, 0)

Step-by-step explanation:

To find the y-intercept, you would plug in 0 for x.

y = -2x - 21

y = -2(0) - 21

y = 0 - 21

y = -21

The y-intercept is -21.

To find the x-intercept, you would plug in 0 for y.

y = -2x - 21

0 = -2x - 21

2x = -21

x = -21/2

x = -10.5 or -\frac{21}{2}

The x-intercept is -10.5 or -\frac{21}{2}.

4 0
3 years ago
What is the equation of thr function y=6/x translated 5 units to the left and 4 units up
sergij07 [2.7K]
If we are given function f(x) vertical translation is done by adding number to end of formula for translation to up or substracting number for translation to down.
f(x) + a OR f(x) - a
Horizontal translation is done by adding number next to x variable for translation to left or substracting number for translation to right.
f(x+a) OR f(x-a)

We need to translate function <span>5 units to the left and 4 units up. That means that we need to add 5 next to x and add 4 to end of function. The result is:
</span>f(x)= \frac{6}{x+5} +4<span>
</span>
8 0
3 years ago
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