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Marizza181 [45]
3 years ago
15

What are the zeros of the function? h(x)=x^3−2x^2−3x

Mathematics
1 answer:
maksim [4K]3 years ago
3 0
To find the zeroes you make the function equal to zero and then solve. 
0=x^3-2x^2-3x
Then factor out the x to get a quadratic inside the parentheses.
 0=x(x^2-2x-3)
Factor the inside quadratic formula.
x(x^2-2x-3)=x((x-3)(x+1))
Lastly, use the zero product property to solve.
x*(x-3)*(x+1)=0
x=0,x=3,x=-1
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Which is a valid proportion A.) 3/4=21/28 B.) 5/6=29/30 C.) 4/7=16/49 D.) 2/5=12/15​
Neporo4naja [7]
The correct answer would be A) 3/4=21/28

Explanation: 3 x 7=21; 4 x 7=28. None of the other answer choices demonstrate a proportion. Hope this helps:)

5 0
3 years ago
Read 2 more answers
This probability distribution shows the typical distribution of pitches thrown to a batter in a given at bat in a baseball game.
Vikki [24]

Answer:

0.35

Step-by-step explanation:

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

The probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 3)

X  is the number of pitches thrown. Therefore:

P(X < 3) = P(X = 1) or P(X = 2)

The additive rule pf probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 3) = P(X = 1) or P(X = 2) = P(X = 1) + P(X = 2) = 0.15 + 0.2 = 0.35

The probability that the pitcher will throw fewer than 3 pitches to a batter = 0.35

8 0
3 years ago
Herr is the question and pic for the last question its 2
nevsk [136]
To find the area of the triangle you would have to plug in the numbers for this equation: A= Hxb/2
So in your case 14x10/2
140/2= 70 and that would be your answer. Answer:G
3 0
3 years ago
Find the area of a triangle with a base of 30 cm and a height of 75 cm
vivado [14]
The formula for the area of a triangle is

1/2 b•h

Let’s plug in our values !

1/2 (30•75)

1/2 • 2,250 = ?

2,250/2 = 1,125

The area of the triangle is 1,125 cm^2

I hope I helped !
Can you vote me brainliest, so I can level up? :)
5 0
3 years ago
Read 2 more answers
Sara is mixing together a fruit punch for a party. She's made 4 gallons of punch with a mixture of 50% juice. Her mother tells h
Nata [24]
\bf \begin{array}{lccclll}&#10;&amount(gallons)&juice&\textit{juice amount}\\&#10;&--------&-----&-----\\&#10;\textit{50\% punch}&4&0.50&(4)(0.50)\\&#10;\textit{pure juice}&x&1.00&(x)(1.00)\\&#10;-----&-----&-----&-----\\&#10;mixture&4+x&0.60&(4+x)(0.60)&#10;\end{array}

notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format

so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)

thus    (4)(0.50) + (x)(1.00) = (4+x)(0.60)

solve for "x"
4 0
3 years ago
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