the function f(x) = 3x + 5 has a slope of 3 and a y-intercept of (0,5).
Table 1, reproduced below, shows that for every unit increase in x, y increases by 3, and that y=5 when x=0 (which is the y-intercept).
Table 1 is the correct answer.
.x y
-3 -4
-2 -1
-1 2
0 5
Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
Answer: Im not completely sure but my best guess is 21. the tree is 21 feet tall
Step-by-step explanation:
If the roots to such a polynomial are 2 and
, then we can write it as
courtesy of the fundamental theorem of algebra. Now expanding yields
which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use
as a root. In this case, that would make our polynomial
so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...