Answer:
B) 8 and 24.
Step-by-step explanation:
Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.
Regardless, let's work this out mathematically. Let the first number be <em>a</em> and the second number be <em>b</em>.
Their difference is 16. Hence:
The first number is three times the second number. So:
Substitute:
Solve for <em>b</em>. Subtract:
And divide both sides by two:
So, the second number is 8.
And since the first number is three times the second, the first number is 24.
Our answer is B as expected.
Answer:
Step-by-step explanation:
sinx = 
The hypotenuse = 25 since 7, 24, 25 ← Pythagorean triple
Hence
sinx =
Answer:
Step-by-step explanation:
Total height lowered = 75m
No of times balloon lowered = 5
Height lowered in each lowering = Total height lowered / No of times balloon lowered
= 75 / 5
= 15 m
The number indicated that each time balloon is lowered by 15 m
Answer:
m - 8/3
Step-by-step explanation:
Find the slope of the line between (-3,1) and (6,7) using m = (y2 - y1) / (x2-x1)
which is the change of "y" over the change of "x"
m = (7 - (-1) / 6 - (3)
m = 8/3
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
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