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Georgia [21]
2 years ago
12

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.

Mathematics
1 answer:
Andrei [34K]2 years ago
7 0

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

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Find the surface are of the composite figure.
rodikova [14]

Answer:

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7 0
2 years ago
Matt is making cookies. He adds 3/4 of a cup of sugar to a bowl. He then removes two 1/8 cups of sugar. What best explains how m
irga5000 [103]
Matt has 5/8 cups of sugar left in the bowl
7 0
3 years ago
I need help what is the awncer
castortr0y [4]

Answer:

6.44 square meters

Step-by-step explanation:

To solve for area of a rectangle, multiply the length by the width.

2.3 \times 2.8   = 6.44

8 0
2 years ago
A computer maker receives parts from three suppliers, S1, S2, and S3. Fifty percent come from S1, twenty percent from S2, and th
rewona [7]

Answer:

a) 4.9 % of all parts is defective or 0.049 of the total parts.

b)  0.5102 is the probability that the defective part was supplied by S1

Step-by-step explanation:

N is the total number of parts from supplier S1, S2 and S3.

N1 = 0.5*N is the total number of part supplied by S1

N2 = 0.2*N is the total number of part supplied by S2  

N3 = 0.3*N is the total number of part supplied by S3

a) if Nd1 is the number of defective parts from supplier S1, Nd2 is the number of defective parts from supplier S2 and Nd3 is the number of defective parts from supplier S3, the the total defective parts Nd is:

Nd = Nd1 + Nd2 + Nd3, where

Nd1 = 0.05*N1 = 0.05*0.5*N = 0.025*N,

Nd2 = 0.03*N2 = 0.03*0.2*N = 0.006*N,

Nd3 = 0.06*N3 = 0.06*0.3*N = 0.018*N,

Then Nd = Nd1 + Nd2 + Nd3 =  0.049*N, so Nd/N = 0.049

b) P(S1 \vert d) = \frac{P(S1,d)}{P(d)} = \frac{P(d \vert S1)}{P(d)} = \frac{0.05*0.5}{0.049} \approx 0.5102

for the last expression I used the Bayes tehorem.

P(S1 \vert d) is the probability that occur S1 given that d (defective) is true. This a conditional probability.

see at https://en.wikipedia.org/wiki/Bayes%27_theorem

6 0
3 years ago
There are 8 members of a basketball team . In their last game their mean points scored was 12 . Dom was their best player with 3
irina1246 [14]

The mean points of the team is the average points per game

Dom's claim is wrong

<h3>How to determine if Dom is right</h3>

The number of players in the team is:

n = 8

The mean score per game is:

Mean = 12

The mean of a dataset is calculated as:

Mean = \frac{Total}n

So, we have:

12= \frac{Total}8

Multiply both sides by 8

Total = 96\\

When Dom's point is removed, we have:

Points = 96 - 33

Points = 63

There are 7 players left.

So, the mean point is:

Mean = \frac{63}7

Mean = 9

The mean score is not 10.

Hence, Dom's claim is wrong

Read more about mean at:

brainly.com/question/14532771

4 0
2 years ago
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