Let's use J for James's age and A for Austin's age. The equations are:
J = A - 4
3J + A² = 28
Just plug (A - 4) in the place of J in the second equation. This gives you:
3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
-->
A² + 3A - 40 = 0
-->
(A - 5)(A + 8) = 0
-->
A = 5 or -8
-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)
The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5
The y-intercept of (0, 2) is 2.
The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:
h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2
<span>Answer: The function f has the greatest y-intercept.
</span>
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.
12x50=600 so 60 left
15x50=750 so 60 left
so the administration fee is 60
Check the picture below.
so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus
