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aliina [53]
3 years ago
10

F(x)=3x+4. Determine the value of F (X) when X equals -1

Mathematics
2 answers:
hammer [34]3 years ago
4 0

ANSWER

The value of this function at x=-1 is 1

EXPLANATION

The given function is

f(x) = 3x + 4

We want to find the value of this function at x=-1.

We substitute x=-1 into the function to obtain:

f( - 1) = 3( - 1)+ 4

We multiply out to obtain:

f( - 1) =  - 3+ 4

f( - 1) = 1

Therefore the value of this function at x=-1 is 1.

stiks02 [169]3 years ago
3 0

Answer:  f(-1)=1

Step-by-step explanation:

Given the linear function f(x):

f(x)=3x+4

By definition. a relation is a function if each input value has only one output value. In this case you need to find the output value for the input value x=-1. In order to do this, you need to substitute this value of the variable "x" into the linear function given.

Then:

When x=-1:

f(-1)=3(-1)+4

Remember the multiplication of signs:

(+)(-)=-\\(+)(+)=+\\(-)(-)=+

Then, the value of f(x) when x=-1 is:

 f(-1)=-3+4

 f(-1)=1

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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
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(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

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\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

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          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

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