Answer:
(-2, 5)
Step-by-step explanation:
I will assume that your system is
y = -4x - 3
y = -2x + 1
Multiplying the second equation by -2 results in
y = -4x - 3
-2y = 4x - 2
combining these two equations eliminates x temporarily:
-y = -5, so that y must be 5.
Substituting 5 for y in the second equation, we get:
5 = -2x + 1, or
4 = -2x, which results in x = -2
and so the solution is (-2, 5)
The difference is 3ft since the surface area for the prism is 57, and the surface area for the cube is 54.
You can use the surface area formula
2(wl+hl+hw) = Area
2·(3·4.5+2·4.5+2·3)=57
And a cubes surface area formula
6a^2 = Area
6·32=54
Given that there is a survey of 100 randomly selected female members of the gym about choosing between "easy weight-lifting machines or the harder free weights".
Report of the survey says that "female members at the gym prefer the weight-lifting machines over the free weights."
Now we have to select from the given statements that correctly evaluate the report.
According to me "The question is biased towards a response of preferring to use weight-lifting machines." because description of word "hard" is used for "free weights" while word "easy" is used for "machines". That may persuade some people to choose the machine.
Since 100 females are randomly selected not specifically so "The sample is not biased."
Hence final answer should have two statements:
1) The question is biased towards a response of preferring to use weight-lifting machines.
2) The sample is not biased.
The sum of the first five terms of the geometric sequence is -1555
<h3>Sum of geometric sequence</h3>
The formula for calculating the sum of geometric sequence is expressed as:
where
r is the common ratio = 6/1 = 6
a is the first term = -1
n = 5 (number of terms)
Substitute
Hence the sum of the first five terms of the geometric sequence is -1555
Learn more on sum of sequence here; brainly.com/question/2142410
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