The actual photo has an area of 16*20 inches, so 320 inches squared. The ratio between the digital and real photo is 16:20. On the other hand, the width to length of the digital photo is x:2.5. Cross multiply the two ratios and solve for x. 16/20*x/2.5 —> 20x = 40 —> x = 2. The width of the digital image is 2 inches, so multiplying the width times the length gives you a 5 inches squared area for the digital image. Answer: 5 in^2
Answer:
Each student; 32
Kevin; 12
Step-by-step explanation:
4% of 800 is 32. Each student is responsible for colleting 32 box tops.
The next step is to figure out what 37.5% of the 32 is 12.
Hope that this helps! Have a good day and good luck!
3(x-1)^2 +2
This is your answer in vertex form, your h and k values are the vertex. Solving the function by using b/2a, we get that h is 1. ( in the equation 3 is your a, 6 is b and 5 is c.). ( 6/2(3)) = 1. We can then plug in 1 as x into the original equation and get positive 2 ( 3(1)^2 -6(1) +5) = 3-6+5 = 2. This is your vertex. In the function, your a value will always stay the same as this is your shrink or stretch. In this case, a is 3 so it will go outside the parenthesis. Put that all together and you get the function above.
Hope this helps :)
Answer:
Step-by-step explanation:
30 meters
Answer: y = -3(x + 
)² + 
, 
, 
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² + 
y - 1 + -3(
) = -3(x² + + )
↑ ↓ ↑
= 
y - 1 - 
= -3(x + )²
y - 
- = -3(x + )²
y - = -3(x + )²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,
