Answer:
1) x = 208 2) n = 28
Hope this helps! Have a great day!!
Step-by-step explanation:
1)
x - 72 = 136
+ 72 +72
x = 208
2)
n - 10 = 13 + 5
n - 10 = 18
+10 +10
n = 28
Answer:
Step-by-step explanation:
1. Add 19 to both sides.
2. Divide both sides by 2.
That is impossible.
For a number to be divisible by 23, it has to be greater than 23.
A number cannot be greater than 23, if you have restricted it to be within the numbers 2 and 10.
Do you know how many friends he has then you can answer the question
Remember that the vertex form of a parabola or quadratic equation is:
y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)
In this case we are given that the vertex is (1,1) so we have:
y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:
-3=a(0-1)^2+1
-3=a+1
-4=a so our complete equation in vertex form is:
y=-4(x-1)^2+1
Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so
0=-4(x-1)^2+1 add 4(x-1)^2 to both sides
4(x-1)^2=1 divide both sides by 4
(x-1)^2=1/4 take the square root of both sides
x-1=±√(1/4) which is equal to
x-1=±1/2 add 1 to both sides
x=1±1/2
So x=0.5 and 1.5, thus the x-intercept points are:
(0.5, 0) and (1.5, 0) or if you like fractions:
(1/2, 0) and (3/2, 0) :P
