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3 years ago

How do u solve y=296-10x and y=200+6x

Mathematics

1 answer:

Andrews [41]3 years ago

5 0

Answer:

$x = 6$ and $y = 236$

Step-by-step explanation:

$y = 296 - 10x$

$y = 200 + 6x$

By equating both equations, we get:

$296 - 10x = 200+6x$

$16x = 96$ [Separate variables and constants]

$x = 6$

By substituting $x = 6$ to the above equation, we get:

$y = 296 - 10(6)$

$y = 296 - 60$

$y = 236$

Hence, $x = 6$ and $y = 236$

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2 years ago

Use the point and the slope to graph each line. Write the equation of the line. The line passes through point (2,-2) and is para

elixir [45]

Answer:

y= -x

Step-by-step explanation:

slope- intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -1, m= -1.

Substitute m= -1 into the equation:

y= -x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 2, y= -2,

-2= -2 +c

c= -2 +2

c= 0

Thus, the equation of the line is y= -x.

4 0

2 years ago

Y= - x+2 Y=3x-4 Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

$\frac{1}{2}=\frac{1}{2}$

8 0

3 years ago

One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio

Bess [88]

Answer:

$n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62$

So the answer for this case would be n=62 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample