Answer:
the bottom left one (the graph that looks like a circle) is not a function, but the other ones are.
Step-by-step explanation:
A function is defined so that for every x value within a function has a y value. This means that an x value CANNOT have more than one y value. The bottom right one has two y values for almost every x value within the domain. The top ones are functions, because all x values have only 1 y value (a discontinuous function is still a function!) And the bottom right is too.
Answer:
62.8yd
Step-by-step explanation:
formula for circumference of a circle = 2 π r
The perimeter is 4 semi circles, so 2 full circles. The diameter is 10yd and the radius is half the diameter, so the radius is 5yd
working:
2 x π x 5 = 31.4yd
31.4 x 2 = 62.8yd
(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4
<span>(x^2 + 4)^2 + 32 = 12(x^2 + 4) </span>
<span>a^2 + 32 = 12a </span>
<span>a^2 - 12a + 32 = 0 </span>
<span>(a - 8)(a - 4) = 0 </span>
<span>a = 8 and a = 4 </span>
<span>for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 </span>
<span>for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 </span>
<span>x = -2, 0, +2 so your answer is going to be e
</span>
Answer:
x = 51
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
Answer: it seems to be D, but the equation makes practically no sense!
The value of the factor changes for the different amounts of service years and vacation weeks.
Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.
If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33
If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.