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77julia77 [94]
2 years ago
6

Solve for x.this is for the k12 test.​

Mathematics
2 answers:
Paladinen [302]2 years ago
5 0

Answer:

option D

Step-by-step explanation:

\sqrt{10x+50}=x+5\\\\(\sqrt{10x+50})^2=(x+5)^2\\\\10x+50=x^2+10x+25\\\\0=x^2+10x-10x+25-50\\\\0=x^2-25\\\\0=(x-5)(x+5)\\\\x=5\\\\x=-5

now trying for the original equation

\sqrt{10(5)+50}=5+5\\\\\sqrt{50+50}=10\\\\\sqrt{100}=10\\\\10=10

and

\sqrt{10(-5)+50}=-5+5\\\\\sqrt{-50+50}=0\\\\\sqrt{0}=0\\\\0=0

so it's option D

Sidana [21]2 years ago
3 0

Answer:

d

Step-by-step explanation:

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Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots
Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = x

<u>By robot A</u>

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = \frac{1}{45} \ new\ robot

<u>By robot B</u>

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It takes 1 hour to construct = \frac{1}{x} new robot

<u>By working together</u>

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It takes 1 hour to construct = \frac{1}{25} \ new\ robot

\frac{1}{25} new robot is constructed in = 1 hour

<u><em>New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour </em></u>

\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\

Subtracting both sides by \frac{1}{45}

\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225

\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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y = 19.2

Hence, the point (8,19.2) is <em>on </em>the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

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