What is the value for ƒ(x) = 42x - 100 when x = 2 ?

Mathematics

2 answers:

Vika [28.1K]3 years ago

8 0

F(2)=42(2)-100
f(2)=84-100
f(2)=-16

miv72 [106K]3 years ago

6 0

Answer:

-16

Step-by-step explanation:

We are given that a function

$f(x)=42x-100$

We have to find the value of given function at x=2

To find the value of function at x=2 we will substitute x=2 in given function.

Substitute x=2 in given function

Then, we get

$f(2)=42(2)-100$

$f(2)=84-100$

Using multiplication property of integer

$f(2)=-16$

Subtraction property of integers

Hence, the value of function at x=2 =-16

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What is the 87th term of the arithmetic sequence of 12,0,-12

den301095 [7]

Step-by-step explanation:

12,0,-12

$a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032$

7 0

3 years ago

I need help please, i dont understand

jenyasd209 [6]

9514 1404 393

Answer:

(a) none of the above

Step-by-step explanation:

The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.

The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)

This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."

This function has a=1, b=1, and c=3. The minimum of the function is where ...

x = -b/(2·a) = -1/(2·1) = -1/2

This value is not listed among the answer choices, so the correct choice for this function is ...

none of the above

The attached graph of the function confirms that the minimum is located at x=-1/2

_____

<em>Additional comment</em>

When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.