Scientific notation is written as #.## x 10^#.
Our number, 3,050,000, needs to be written in scientific notation.
The best way to write scientific notation is by "#.## x 10^#".
In this case, it will be 3.05 x 10^#, # being the amount of times we move the decimal to the right. We have moved it 6 times to the right, so our expression is:
3.05 x 10^6.
I hope this helps!
Answer:
Step-by-step explanation:
The length and the width are based on the height.
height: h
length: 5h + 2
width: 3h - 2
If the sum of those is 126, then:
h + 5h + 2 + 3h - 2 = 126 and
9h = 126 so
h = 14
length is 5(14) + 2 which is 72
width is 3(14) - 2 which is 40
The volume is found by multiplying the length times the width times the height:
14 * 72 * 40 = 40,320 inches cubed
The graphed polynomial seems to have a degree of 2, so the degree can be 4 and not 5.
<h3>
Could the graphed function have a degree 4?</h3>
For a polynomial of degree N, we have (N - 1) changes of curvature.
This means that a quadratic function (degree 2) has only one change (like in the graph).
Then for a cubic function (degree 3) there are two, and so on.
So. a polynomial of degree 4 should have 3 changes. Naturally, if the coefficients of the powers 4 and 3 are really small, the function will behave like a quadratic for smaller values of x, but for larger values of x the terms of higher power will affect more, while here we only see that as x grows, the arms of the graph only go upwards (we don't know what happens after).
Then we can write:
y = a*x^4 + c*x^2 + d
That is a polynomial of degree 4, but if we choose x^2 = u
y = a*u^2 + c*u + d
So it is equivalent to a quadratic polynomial.
Then the graph can represent a function of degree 4 (but not 5, as we can't perform the same trick with an odd power).
If you want to learn more about polynomials:
brainly.com/question/4142886
#SPJ1
A complex fraction is a fraction of a fraction
Step-by-step explanation:
Let's solve your equation step-by-step.
−9m2−8m−3=0
For this equation: a=-9, b=-8, c=-3
−9m2+−8m+−3=0
Step 1: Use quadratic formula with a=-9, b=-8, c=-3.
m=
−b±√b2−4ac
2a
m=
−(−8)±√(−8)2−4(−9)(−3)
2(−9)
m=
8±√−44
−18
Answer:
No real solutions.