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3 years ago

Which function has a range of {yly < 5}?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function $f(x) = -(x-4)^2 + 5$ is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that $f(x) = -(x-4)^2 + 5 \le 5$ for all x:

$x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.$

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Which of these sets of ordered pairs below does not represent a function?

Step2247 [10]

Answer:

0,0

Step-by-step explanation:

The function set is empty

7 0

3 years ago

A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The f

pshichka [43]

The image for this is attached for reference. This problem can be used by the Pythagorean equation. To make solving convenient, let us see only one part of the tent. Hence, one side is half of the tend width which is 16/2ft. Height is 12 ft. The unknown side is the hypotenuse. The answer is:
$a^{2} + b^{2} = c^{2} 8^{2} + 12^{2} = c^{2} c = 14.4$

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2 years ago

If x varies directly as y, and<br> X = 24 when y= 21, Find x when<br> Y=6

Ne4ueva [31]

Answer:

x = 48/7

Step-by-step explanation:

There's two good ways to do this problem.

Option 1:

Translate "x varies directly as y" into the equation y=kx

Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.

Option 2:

Translate "varies directly" into a proportion, which is two fractions equal to each other:

x/y = x/y

Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.

7 0

1 year ago

(Correct answer only please)

andriy [413]

Answer: Choice A) Add 3.8 to both sides of the equation

Explanation:

If we knew the value of w, then we would replace it and apply PEMDAS.

However, we don't know the value of w, so we undo each step of PEMDAS going backwards.

We start with the "S" of PEMDAS, and undo the subtraction. To undo subtraction, you apply addition. To undo that "minus 3.8" we add 3.8 to both sides.

4 0

2 years ago

Read 2 more answers

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?

yan [13]

Answer:

$22.95/hour.

Step-by-step explanation:

It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.

Let as consider x be the national average.

11% above the national average is

$x+\dfrac{11}{100}x=x+0.11x=1.11x$