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3 years ago

Which answer choice is equivalent to the expression (x+2)^2 - 6x+2?

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer:

(x+2)^2 - 6x+2

(x+2)^2 = (x+2).(x+2)

= x(x+2) + 2(x+2)

= xx + x2 + 2x +4 ( x2 = 2x)

= x^2+ 4x +4

(x+2)^2 - 6x+2

x^2+ 4x +4- 6x+2

x^2+ 4x - 6x+2 +4

x^2- 2x+2 + 6 (b)

Step-by-step explanation:

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There are 40 coins in a roll of quarters. The change machine at the local arcade holds 320 rolls of quarters. How many quarters

erica [24]

Answer:

C, 12,800

Step-by-step explanation:

40 x 320 = 12,800

3 0

3 years ago

each pizza has found out that each pizza has 12 slices. you expect 16 people to come, you estimate that each person will eat 3 s

konstantin123 [22]

Answer:

We will get 4 pizza.

Step-by-step explanation:

Each person will eat 3 slices of pizza and we are expecting 16 people to come.So total number of slices consumed by 16 people will be

16×3 = 48 slices.

Now it is given in the question that each pizza has 12 slices then we have to find out number of pizza to be ordered.

We apply unitary method

∵ 12 slices will be = 1 pizza

∴ 1 slice will be = 1/12 pizza

∴ 48 slices will be = 1/12×48

=48/12

= 4 pizza

So total 4 pizza to be ordered.

8 0

3 years ago

Read 2 more answers

Suppose you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D. If you randomly

mina [271]

Answer:

(a) The probability you pass the exam is 0.0000501.

(b) The expected number of correct guesses is 7.5.

(c) The standard deviation is 2.372.

Step-by-step explanation:

We are given that you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D. And you randomly guess on all 30 questions.

Since there is an assumption of only 1 correct choice out of 4 which means the above situation can be represented through binomial distribution;

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

where, n = number of trials (samples) taken = 30

r = number of success = at least 60%

p = probbaility of success which in our question is the probability

of a correct answer, i.e; p = $\frac{1}{4}$ = 0.25

Let X = Number of questions that are correct

So, X ~ Binom(n = 30 , p = 0.25)

(a) The probability you pass the exam is given by = P(X $\geq$ 18)

Because 60% of 30 = 18

P(X $\geq$ 18) = P(X = 18) + P(X = 19) +...........+ P(X = 29) + P(X = 30)

= $\binom{30}{18}\times 0.25^{18}\times (1-0.25)^{30-18} + \binom{30}{19}\times 0.25^{19}\times (1-0.25)^{30-19} +.......+ \binom{30}{29}\times 0.25^{29}\times (1-0.25)^{30-29} + \binom{30}{30}\times 0.25^{30}\times (1-0.25)^{30-30}$