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beks73 [17]
3 years ago
10

Is problem is from a "problems of the week set"

Mathematics
1 answer:
Leona [35]3 years ago
7 0
His probability is 2/4
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The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation
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I need a picture of the figures to help with this!
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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

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4 years ago
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Is this a trick question? They're both a pound. 
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3 years ago
Solve the inequality: 4k-(5+3k)>2
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Answer:

k > 7

Step-by-step explanation:

Given the inequality statement:  4k - (5 + 3k) > 2

Distribute -1 into (5 + 3k):

4k -5 - 3k > 2

Next,  add like terms:

k - 5 > 2

Add 5 to both sides of the inequality:

k - 5 + 5 > 2 + 5

k > 7

Please mark my answers as the Brainliest if you find my explanations helpful :)

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2 years ago
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What is the range of this function?
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