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2 years ago

Let g(x)=2x and h(x)=x^2+4. Find the value (hog) (1) A)2 B)8 C)10 D)16

Mathematics

2 answers:

mamaluj [8]2 years ago

5 0

Answer: B) 8

Step-by-step explanation: In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)), to do the given composition we need to evaluate the first function g(x) in the given value (1) and then evaluate the result in the function h(x), the procedure is shown as follows:

g(x)=2x

g(1)=2(1)

g(1)=2

h(x)=x^2+4

h(g(1))=h(2)

h(2)=2^2+4

h(2)=4+4

h(2)=8

Kruka [31]2 years ago

4 0

The answer is B) 8
g(1)=2(1) = 2
h(2)=2^2+4 = 8
(hog)= h(g(x))
in this case x was given as 1.

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3 years ago

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3 years ago

A washer and a dryer cost $995 combined. The washer cost $45 more than the dryer. What is the cost of the dryer?

Talja [164]

When a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475

The combined cost of a washer and a dryer = $995

Consider the cost of a dryer as x

The washer cost $45 more than the dryer.

The cost of the washer = x+45

Then the equation will be

x+x+45 = 995

2x+45 = 995

2x = 950

x = 950/2

x = 475

The cost of the dryer is $475

Hence, when a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475

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9 months ago

A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.

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2 years ago

A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter y

11111nata11111 [884]

Answer:

2/3 of the jar was filled with flour

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Given

Amount a jar can hold a = 3/4 of a pound of flour

If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds

Fraction of jar filled will be expressed as b/a as shown;

b/a = (1/2)/(3/4)

b/a = 1/2 ÷ 3/4

b/a = 1/2 * 4/3

b/a = 4/6

Simplify to the lowest term

a/b = 2*2/2*3

a/b = 2/3

Hence 2/3 of the jar was filled with flour

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2 years ago