Answer (numbers needed in boxes, going from top to bottom):
1
-1
-3
3
Step-by-step explanation:
f(x) is another way of saying y. So, the table is asking, "when substituting these x values for the x's in the function, what does y equal?" So, to answer the question, substitute each x value into the equation and solve.
1) Start with the x value of 1. Substitute 1 for x in y = 2x - 1 and solve:
So, when x equals 1, y equals 1. Therefore, the first box on the top must be filled out with the number 1.
2) Do the same with the rest of the x values. Here are the steps to solve each one, going in order from the top towards the bottom:
x = 0
x = -1
x = 2
You would find 7*40 7*4=28
So 7*40=280 (just add a zero)
7*2=14
The answer would be 280+14=294
Answer:
<u>42.25π m²</u>
Step-by-step explanation:
Let's solve!
⇒ Take the radius of the lawn to be 'r'
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Then, area of the path equals :
⇒ Area of (lawn + path) - Area of lawn
⇒ π (r + 2)² - πr² = 30π
⇒ πr² - πr² + 4πr + 4π = 30π
⇒ 4πr = 26π
⇒ r = 6.5 m
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Area of the lawn :
⇒ Area = πr²
⇒ Area = π × (6.5)²
⇒ Area = <u>42.25π m²</u>
Let the sisters have dollars in the amounts of a,b,c.
<span>After the youngest splits half of hers with the others, they have </span>
<span>a/2, b+a/4, c+a/4 </span>
<span>After the middle gives each of the others 4, they have </span>
<span>a/2 + 4, b+a/4 - 8, c+a/4 + 4 </span>
<span>After the eldest splits half of hers with the others, they have </span>
<span>a/2 + 4 + (c+a/4 + 4)/4, b+a/4 - 8 + (c+a/4 + 4)/4, (c+a/4 + 4)/2 </span>
<span>Now they all have 16. </span>
<span>a/2 + 4 + (c+a/4 + 4)/4 = 16 </span>
<span>b+a/4 - 8 + (c+a/4 + 4)/4 = 16 </span>
<span>(c+a/4 + 4)/2 = 16 </span>
<span>substituting in the last expression, we have </span>
<span>a/2 + 4 + 8 = 16 </span>
<span>b + a/4 - 8 + 8 = 16 </span>
<span>c/2 + a/8 + 2 = 16 </span>
<span>a = 8 </span>
<span>b = 14 </span>
<span>c = 26</span>
The baby gains 3.25lbs in the last 4 months.
This problem can be solved by simple subtraction. Take the total amount and subtract the 4 month increments in order to find the find 4 months.
Total = 1st 4 months + 2nd 4 months + 3rd 4 months
11 = 4.25 + 3.5 + 3rd 4 months
11 = 7.75 + 3rd 4 months
3.25 = 3rd 4 months