Answer:
-1, 3
Step-by-step explanation:
3 units up and 3 units to the left should work on 1,-3
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Answer:
y=3x-1
Step-by-step explanation:
y=mx+b
y=3x+b
y=3x-1
The answer is yes she incorrectly graphed using the points (-2,4) instead of the point (4,-2). This is the answer because if you solve the equation given you should get y=-3/5x+2/5 so a and e will be wrong and if you plug one of the points in you will give a untrue statement so its not d so you are left with b and c so you plug in the end request and you get a true statement with b equaling -2 if you plug in 4 in for x
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
