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zimovet [89]
3 years ago
15

Write the expression (4X -2)•6(2X +7)in the standard form of a quadratic expression

Mathematics
1 answer:
deff fn [24]3 years ago
3 0
(4x - 2) x (12x +42)  (I distributed the 6 over the 2x and the 7)

Using the FOIL method
First terms  (in each parenthesis) 4x  times 12 x = 48x²
Outer terms  4x times 42 = 168x
Inner terms    -2  times 12 x = -24x
Last terms -2 times 42 = -84

So we have 48x² + 168x + 168x - 24x -84
Finally combine like terms:

48x² + 144x - 84    There's your quadratic expression 
 
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I hope this helps

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3 years ago
rebekah's baby brother weighs 7.71 pounds.How much will her baby brother weigh if he gains 1.3 pounds each week for two weeks?
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10.31 pounds

Step-by-step explanation:

First, we multiply 1.3 x 2 because he is gaining 1.3 for the next TWO weeks.

1.3 x 2 = 2.6

Now, add 7.71 + 2.6 because that is the weight he started with.

7.71 + 2.6 = 10.31‬

Her brother will weight 10.31 pounds if he is 7.71 lbs and continues to gain 1.3 pounds each week for two weeks.

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Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
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