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3 years ago

Let f(x)=3x+5 and g(x)=x^2.

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

7 0

F(x)= 3x+5 and g(x)= x²

find (f+g)(x)

substitute g(x) into f(x)

3(x²)+5

the answer is C

Mrrafil [7]3 years ago

5 0

$3 {x}^{3} + 5 {x}^{2}$

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-1/2 w -3/5= 1/5 w...

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Answer:

w= (-6/7)

Step-by-step explanation:

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2 years ago

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3 years ago

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4 years ago

A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample informa

Misha Larkins [42]

Answer: V(X) = 0.96

Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

$E(X)=\frac{\Sigma xf}{\Sigma f}$

$E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}$

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

$f(x-E(X))^{2}$

$700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972$

3) Add them:

$\Sigma [f(x-E(X))^{2}]$ = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

$V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}$

$V(X)=\frac{2400}{2500}$

V(X) = 0.96

The variance of the number of cups of coffee is <u>0.96</u>.

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3 years ago

What is the least common denominator (LCD) for these fractions? 1/12and3/4? 4 12 16 48

luda_lava [24]

Answer:

Step-by-step explanation:

1/12 is reduced to its lowest point.

3/4 can be increased to 9/12 by:

$\frac{3}{4}$ × $\frac{3}{3}$ = $\frac{9}{12}$

So, the least common denominator is 12.

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4 years ago