If F(x) = 9x, which of the following is the inverse of F(x)?

Which exponential function is represented by the values in the table? (-2,16) (-1,8) (0,4) (1,2) (2,1)

mote1985 [20]

4(r)^x=y
4(r)^(1)=2
r=1/2
y=4*(1/2)^x

7 0

2 years ago

A chicken salad recipe calls for 1 8

NARA [144]

Answer: $1.0625\ pounds$ or $\frac{17}{16}\ pounds$

Step-by-step explanation:

The complete exercise is: "A chicken salad recipe calls for $\frac{1}{8}$ pound of chicken per serving . How many pounds of chicken are needed to make $8\frac{1}{2}$ serving".

You can convert the Mixed number to a Decimal number. Divide the numerator 1 by the denominator 2 and then add the quotient to the Whole number. Then, you get:

$8+0.5=8.5$

Now divide the numerator 1 by the denominator 8 to write the fraction to a Decimal number. Then:

$\frac{1}{8}= 0.125$

Let be "x" the amount of pounds are needed to make $8\frac{1}{2}$ serving.

Then, you can set up the following proportion:

$\frac{1}{0.125}=\frac{8.5}{x}$

Solving for "x", you get:

$\frac{1}{0.125}=\frac{8.5}{x}\\\\x(\frac{1}{0.125})=8.5\\\\x=8.5*0.125\\\\x=1.0625$

or $\frac{17}{16}\ pounds$

7 0

2 years ago

The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x

V125BC [204]

Answer:

Option C (f(x) = $-x^2 + 2x + 4$ )

Step-by-step explanation:

In this question, the first step is to write the general form of the quadratic equation, which is f(x) = $ax^2 + bx + c$ , where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) = $4x^2 + 6x - 1$ ) and the last option (f(x) = $x^2 + 4x - 4$ ) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) = $-x^2 + 2x + 4$ ). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!