Let's take a look at D:
<span>D) y = (x-1)^2 - 16 Compare this to
y = (x-h)^2 + k This is the std. equation of a parabola in vertex form.
You can see, by comparison, that h=1 and k= -16; these are the coordinates of the vertex, clearly shown in the diagram.
Since the coefficient of (x-h)^2 is +1, the graph opens upward (which the given graph confirms), and is neither compressed nor stretched vertically.</span>
Answer:
6/7 inches
Step-by-step explanation:
If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:
= 6/7
So, the width of each stamp is 6/7 inches
Answer:
Yes
Step-by-step explanation:
One is in the hundreds and one is in the thousands. 100x10=1000
Answer:
76.8
Step-by-step explanation:
1. We assume, that the number 31.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 31.25, so we can write it down as 100%=31.25.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=31.25
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=31.25/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 31.25
100%/x%=31.25/24
(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x
100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x
100/1.3020833333333=x
76.8=x
x=76.8
now we have:
24 is 76.8% of 31.25
3 balls of wool would make 6 hats.