Which table represents a linear function?

6.3 x 10^14<br><img src="https://tex.z-dn.net/?f=6.3%20%5Ctimes%20%20%7B10%7D%5E%7B14%3F%7D%20" id="TexFormula1" title="6.3 \tim

Nutka1998 [239]

I'm assuming you're looking to find the expanded form of the number?

This number is in scientific notation. The easiest way to convert it to a normal number is to move the decimal place 14 to the right. I've attached a picture showing how to do this. You should get 630,000,000,000,000

There's a faster way to do this - notice that you need to move the decimal 14 to the right, and there's one number already after the decimal place. Therefore, 13 places will be filled with zeros. So, just write out 63 and add 13 zeros.

For more general help on scientific notation, check out these videos: https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation-old

Hope that helps! Feel free to message me or leave a comment if I can clarify anything :)

7 0

3 years ago

Texas University Quarterback, Michael Daniels, is standing on his own 10-yard line. He throws a pass tword the opposite goal lin

dimulka [17.4K]

Answer: The function is $y=-\frac{28}{625}(x-35)^2+30$ .

Explanation:

It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.

It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.

So, the initial point is (10,2) and the other point is (60,2).

The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).

The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.

$midpoint=(\frac{10+60}{2}, \frac{2+2}{2})=(35,2)$

So, the function is maximum at x=35. Hence the vertex is (35,30)

The standard form of the parabola is,

$y=a(x-h)^2+k$

Where (h,k) is vertex and a is scale factor.

Since vertex is (35,30).

$y=a(x-35)^2+30$

The initial point is (10,2).

$2=a(10-35)^2+30$

$-28=625a$

$a=-\frac{28}{625}$

So the function of height is.

$y=-\frac{28}{625}(x-35)^2+30$

The graph of the function is shown below.

3 0

3 years ago

What is the place value of 9 in 46.934?

Inga [223]

The 9 is in the Tenths place

5 0

3 years ago

Read 2 more answers

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula $h = -16t^2 + 84t$ gives the rock's height in feet after t second.