Answer:
18
Step-by-step explanation:
Each page has 6 stamps. There are 3 pages. This is a simple multiplication problem, and so you do 3x6 to find the total number of stamps Kyle has. Thus, 3 times 6 is 18.
visual:
Page One: 6 stamps
Page Two: 6 stamps
Page Three: 6 stamps
6 + 6 + 6 = 18 (or just do 6x3)
Answer:
Both functions have one x-intercept each.
Step-by-step explanation:
The first function is
![f(t )= {t}^{2}](https://tex.z-dn.net/?f=f%28t%20%29%3D%20%20%7Bt%7D%5E%7B2%7D%20)
This is a parabola with vertices at the origin and has one x-intercept at t=0.
The transformed function is
![g(t) = {(t + 3)}^{2}](https://tex.z-dn.net/?f=g%28t%29%20%3D%20%20%7B%28t%20%2B%203%29%7D%5E%7B2%7D%20)
The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.
This graph also has one x-intercept at x=-3.
Therefore both functions has the same number of x-intercepts
Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get
![ST=TU\\\\\Rightarrow 5x=3x+24\\\\\Rightarrow 5x-3x=24\\\\\Rightarrow 2x=24\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12.](https://tex.z-dn.net/?f=ST%3DTU%5C%5C%5C%5C%5CRightarrow%205x%3D3x%2B24%5C%5C%5C%5C%5CRightarrow%205x-3x%3D24%5C%5C%5C%5C%5CRightarrow%202x%3D24%5C%5C%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B24%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20x%3D12.)
So, the value of x is 12.
Therefore,
![ST=5\times12=60](https://tex.z-dn.net/?f=ST%3D5%5Ctimes12%3D60)
and
![SU=5x+3x+24=8x+24=8\times12+24=96+24=120.](https://tex.z-dn.net/?f=SU%3D5x%2B3x%2B24%3D8x%2B24%3D8%5Ctimes12%2B24%3D96%2B24%3D120.)
Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
Answer:
y = -x + 1
Step-by-step explanation:
(-4,5) (1,0)
Find distance through a number line.
Distance(Slope):
(5,-5)
Slope form:
y/x, Apply:
-5/5
Reduce:
-1/1 or -1
To find the y-intercept get x to be at zero and see where y ends. Let's use the point (1,0):
(1,0) use slope -1x to get x to zero:
= (0,1)
y-intercept: (0,1)
Now write in slope-intercept form:
y = mx + b
so,
y = -1x + 1 or y = -x + 1 or y = -1/1x + 1
1. x(2x^2-x+4)
2.-3(y-1)(y+2)
3.-(11w^2+18w-1)