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son4ous [18]
3 years ago
13

For the function F defined by F(x) = x2 – 2x + 4, find F(| — 4|).

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

F(x)=x^2-2x+4

\\ \sf\longmapsto F(|-4|)

\\ \sf\longmapsto F(4)

\\ \sf\longmapsto 4^2-2(4)+4

\\ \sf\longmapsto 16-8+4

\\ \sf\longmapsto 8+4

\\ \sf\longmapsto 12

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Kyle is renting a jet ski for the day. Below are his two options.
Brums [2.3K]

Lets x = # of hours

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Write an expression to show how to calculate the cost of Powersports Plus.

30x + 50

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

Write an expression to show how to calculate the cost of Sun & Surf.

20x + 80

Next, set the 2 expressions equal to each other.

30x + 50 = 20x + 80

Solve:

30x + 50 = 20x + 80

        10x = 30

          x = 3

Two companies cost Kyle the same amount of money at 3 hours

7 0
3 years ago
How would you find the value of x is x equals five, in the equation...5x+29=45?
gavmur [86]
5x+29 = 45
5x = 16 (subtract 29 from both sides)
x = 16/5.

That is the answer, I don't know where you got the value of 5 but it doesn't make sense. To prove it, let's try put it into the equation:

5x5 + 29 =45
25 + 29 = 45
Wrong! 25 + 29 = 54.
4 0
3 years ago
A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
777dan777 [17]

Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

So, the point estimate for \mu is 8.5 hours.

6 0
3 years ago
In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
What is the value of the negative zero of the function, f, defined by<br> f(x) = x^2 - 16
Lelu [443]

Answer:

x = -4

Step-by-step explanation:

f(x) = x² - 16

This is the difference of squares

which factors as

f(x) = (x - 4)(x + 4)

Therefor the negative zero is

x = -4

8 0
3 years ago
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