4 years ago

Please help me on problem 2 of Solving Unit-Rate Problems

Mathematics

1 answer:

nlexa [21]4 years ago

8 0

The answer is A. c and d don't have the numbers and B has them backwards.

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A data set contains three points, and two of the residuals are -12 and 24. what is the third residual?

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We know that
the sum of the residuals must be equal to zero

let
x------> the third residual

-12+24+x=0
12+x=0-----> add -12 both sides
x=-12

the answer is
 the third residual is -12

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10^2+12^2+14^2+......+26^2=??

Kazeer [188]

Answer:

3156

Step-by-step explanation:

Used formula:
(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)

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10²+12²+14²+......+26² =
(2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
4*(5²+6²+7²+...+13²) =
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4 years ago

Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum

Svetlanka [38]

Let
x-------> the first number
y-------> the second number
P-----> product

we know that
x+2y=56----------> 2y=56-x-----> y=28-0.5x------> equation 1
P=x*y----> equation 2

substitute equation 1 in equation 2
P=x*[28-0.5x]-----> P=28x-0.5x²

using a graph tool
see the attached figure
the vertex is the point (28,392)
that means
for x=28
the product is 392 (maximum)
find the value of y
y=28-0.5x----> y=28-0.5*28----> y=14

the answer is
the numbers are 28 and 14

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If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

ruslelena [56]

The answer is B because y=2x-1

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