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Volgvan
3 years ago
11

There was a bowl with 120 candies in it. Billy, Bob and Buck found the bowl. Billy ate 2/12 of the candies, Bob ate 3/12 and Buc

k had 5/12. How many candies were left?
Please help
Mathematics
1 answer:
blagie [28]3 years ago
5 0

Answer:

20 candies left.

Step-by-step explanation:

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Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg
Mars2501 [29]
The function is f(x)= x^{5} -9x ^{3}

1. let's factorize the expression x^{5} -9x ^{3}:

f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )


2.  
The end behavior of f(x), whose term of largest degree is x^{5}, is the same as the end behavior of  x^{3}, which has a well known graph. Check the picture attached. 

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of x^{2})

so, like the graph of x^{3}, the graph of f(x)= x^{5} -9x ^{3} :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "

7 0
3 years ago
Read 2 more answers
If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?
Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

  triangle equal the corresponding angle in the second triangle  

2. AA similarity : If two angles of one triangle are equal to the

   corresponding angles of the other triangle, then the two triangles  

   are similar.

3. SSS similarity : If the corresponding sides of the two triangles are

   proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides  

   are proportional and the included angles are equal then the two  

   triangles are similar.

In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

<em>OR </em>

The lengths of sides BA , CA and CE , DE to show that

\frac{BA}{CE}=\frac{CA}{DE} = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

5 0
3 years ago
Read 2 more answers
A trapezoid is a quadrilateral with exactly one pair of what sides.
balu736 [363]

Answer:

parallel

Step-by-step explanation:

it has exactly one pair of parallel sides or sides that will never touch

5 0
3 years ago
What does it mean when a number is out of the parenthesis? <br><br><br><br> Example 3($28+$32)-$10=
777dan777 [17]
When the number is out of parenthesis it means it is multiplying the number between the parenthesis 
example - 3 ( 28 + 32 ) => 3 ( 60)
which means 3 * 60 = 180

Note:- you cannot multiply the numbers when they are 3 ( 28 + 32 ) because you have to use PEMDAS ( order of operation ) to solve the problem where P = parenthesis , E = exponents, M = multiplication, D = divide , A = addition , S = subtract.
4 0
3 years ago
4x+2=8+6x answer plz imma need the help
natulia [17]

Step-by-step explanation:

4x+2=8+6x

-2x=6

x=-3

Hope it helps

8 0
2 years ago
Read 2 more answers
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