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3 years ago

Which situation is best represented by the following equation? 2x + x = 21

Mathematics

1 answer:

krek1111 [17]3 years ago

6 0

Answer:

If your solving for x then its x=3 because you combine liked terms then divide both sides by 3.

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The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers)

vovangra [49]

The correct answer is Choice B: 720.

To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.

For the first one, there are 10 options, then 9 options and finally 8 options.

10 x 9 x 8 = 720

7 0

3 years ago

Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? Identify its value.

exis [7]

Answer:

minimum value of function is $\frac{45}{8}$ .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of $x^{2}$ is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = $\frac{-b}{4a}$ .

Where , b represents the coefficient of x and a represents the coefficient of $x^{2}$ .

here, a = 2 , b = -6

Thus $\frac{-b}{4a}$ = $\frac{6}{8}$

= $\frac{3}{4}$

So, at x = $\frac{3}{4}$ minimum value will occur and which equals

y = 2× $\frac{9}{16}$ - $\frac{18}{4}$ + 9 = $\frac{45}{8}$ .

Thus , minimum value of function is $\frac{45}{8}$ .

4 0

3 years ago

If Karri takes a 7 question true false test and guess on every question, what is the

dusya [7]

Answer:

The probability that she gets all 7 questions correct is 0.0078.

Step-by-step explanation:

We are given that Karri takes a 7 question true-false test and guess on every question.

The above situation can be represented through binomial distribution;

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

where, n = number of samples (trials) taken = 7 question

r = number of success = all 7 questions correct

p = probability of success which in our question is probability that

question is correct, i.e. p = 50%

Let X = Number of question that are correct

So, X ~ Binom(n = 7, p = 0.50)

Now, the probability that she gets all 7 questions correct is given by = P(X = 7)

P(X = 7) = $\binom{7}{7} \times 0.50^{7} \times (1-0.50)^{7-7}$

= $1 \times 0.50^{7} \times 0.50^{0}$

= 0.0078

6 0

3 years ago

Please help me!!!!

Greeley [361]

Your process is close!

Since 3/10 and 4/15 is the amount you missed you have to subtract that by 1.

1 - 0.3 = 0.70
1 - 0.26 = 0.74

So, you scored higher on the math quiz.

Hope this helps!

3 0

3 years ago

HURRY PLS! Evaluate if a= 4 and b=7 28÷ b+7 A. 14 B. 11

Nastasia [14]

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

8 0

3 years ago