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2 years ago

Solve the system of equations y = 6x -7 y = 3x + 11

Mathematics

1 answer:

max2010maxim [7]2 years ago

7 0

If they both are equal to y, they must be equal to each other therefore,
6x-7 = 3x+11
3x = 18
x=6

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Answer:

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2 years ago

Can someone please help me on solving: x+y=-4

timama [110]

Answer: x=-1 and y= -3

Step-by-step explanation:

Solve for x, x+y=-4

Minus y from both sides so it'll be X=-y-4

Now substitute -y-4 in x-y=2 and solve for y

-y - 4 -y=2

Add like terms, -2y - 4=2

Add 4 to both sides -2y=6

Divide both sides by -2 $\frac{-2y}{-2} = \frac{6}{-2}$

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2 years ago

You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What i

bekas [8.4K]

Answer:

$660

Step-by-step explanation:

22*40 = 880 dollars. This is your gross pay.

Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars

We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars

Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.

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3 years ago

cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume

Alex73 [517]

The volume of Cone B is twice the volume of Cone A.

4 0

2 years ago

Read 2 more answers

The side length of a square ice cube is claimed to be 1.0 inches, correct to within 0.001 inch. Use linear approximation to esti

Olenka [21]

Answer:

0.012

Step-by-step explanation:

Linear approximation says that,

$f(x) \approx f(x_o)+f'(x_o)(x-x_o)$

For a cube the surface area is $6x^2$ .

So the side is 1.0 inch in, the surface area is $=6\times1^2 = 6$ square inches.

In Linear approximation means you ignore the term $x_o^2$ , if $x_o$ is a small number, because then $x_o^2$ will be a very smalle number and that does not contribute much to the error.

So the surface area is approximately,

$6x^2=6x_o^2+12x_o(x-x_o)$

So here, $x=1.001, x_o=0.001$

The error in the area is approximately,

$12 \times 0.001=0.012$

So the error is 0.012.

3 0

2 years ago