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slamgirl [31]
3 years ago
6

.Given the function f(x)=(3x+4)-(2-x) evaluate for f=5

Mathematics
2 answers:
ad-work [718]3 years ago
8 0
<h2>Hello!</h2>

The answer is: f(5)=22

<h2>Why?</h2>

Evaluating a function means that the variable (x in this case) will be replaced with the given value (5). So, where we have the variable "x" we should change it for the number 5.

So, evaluating we have:

f(x)=(3x+4)-(2-x)\\f(5)=(3*5+4)-(2-5)\\f(5)=15+4-(-3)\\f(5)=19+3\\f(5)=22

Have a nice day!

oee [108]3 years ago
7 0

Answer:

f(5) = 22

Step-by-step explanation:

Given: f(X) = (3x + 4) -(2 -x)

To find f(5) replace x by 5 in the above expression, we get

f(5) =(3*5 + 4) - (2 - 5)

f(5) = (15 + 4) -(-3)

f(5) = 19 + 3

f(5) = 22

Hope this will helpful.

Thank you.

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1. Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2). Graph BGTS and its image after a translation
larisa86 [58]

The image is attached with answer

<h3>What is a Quadrilateral ?</h3>

A quadrilateral is a polygon with four sides , four angles and four vertices.

It is given in the question that

Quadrilateral BGTS has vertices B (-3, 4), G (-1, 3), T (-1, 1), and S (-4, 2).

A graph has to be drawn of

its image after a translation along (5,0) and a reflection in the x-axis.​

The coordinates after translation and reflection is is B (8, -4), G (6, -3), T (6, -1), and S (7, -2).

The image is attached with the answer .

To know more about Quadrilateral

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6 0
2 years ago
Write an equation of the line that passes through (4,-1) and is parallel to the line -3x +y= 7
Gala2k [10]

Answer:

y = 3x -13

Step-by-step explanation:

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4 0
3 years ago
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn
Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that p = 0.07

A day care program has capacity for 8 children in that age range.

This means that n = 8

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0
3 years ago
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