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3 years ago

How do you evaluate a function?

Mathematics

1 answer:

meriva3 years ago

6 0

Answer:

substitute the input (the given number or expression) for the function's variable (place holder, x). Replace the x with the number or expression.

Example:

f(x)=3x-5 and f(4)

f(x)=3(4)-5

f(x)=12-5

f(x)=7

final answer is (4,7)

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Find the length of the third side. If necessary, round to the nearest tenth. 25 20

Komok [63]

Answer:

Step-by-step explanation:

$using \: pythagoras \: theorem \\ let \: the \: unknown \: side = x \\ 25 {}^{2} = x {}^{2} + 20 {}^{2} \\ 625 = x {}^{2} + 400 \\ x {}^{2} = 625 - 400 \\ x {}^{2} { = 225} \\ x = \sqrt{225} \\ x = 15 \\ lenght \: of \: the \: third \: side = 15$

3 0

2 years ago

What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that

lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.

Also, keep in mind you can caluclate slope with the equation $\frac{y_2-y_1}{x_2-x_1}$ here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point. so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.

5 0

3 years ago

Please help me with this<br> thanks<br> please let me know if my answer is incorrect

sergey [27]

I just graphed the table next to the graph of g and compared the two.

The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.

Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.

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3 years ago

In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____

VladimirAG [237]

From the question, we know that we will be looking at <3, <4, and angles TKL and TLK. That being said, since <3 is congruent to <4, that means that angles TKL and TLK, which are each supplementary to either angle 3 or 4, are congruent because, since angles 3 and 4 are congruent, they are congruent because the supplements of congruent angles are congruent.

3 0

3 years ago

Read 2 more answers

On a coordinate plane, an absolute value graph has a vertex at (10, 6).

lorasvet [3.4K]

Answer: (10, ∞)

Step-by-step explanation:

See the graph in the attached image.

4 0

2 years ago