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3 years ago

Solve the following equation: 1/2x-8=-3

Mathematics

2 answers:

OlgaM077 [116]3 years ago

7 0

Answer:

Step-by-step explanation:

rjkz [21]3 years ago

4 0

Answer: 10

1. Multiply both sides of the equation by 2 so the fraction gets removed. x - 16 = -6
2. Add 16 on both sides. - 6 + 16 = 10.

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PLEASE HELP FAST 100 EASY POINTS WILL MARK BRAINLEST!!!

spin [16.1K]

Answer:

$y=-1x+8 \\or\\y=-x+8$

Step-by-step explanation:

Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.

First we figure out our points for both the lines:

BC: $B=(-2,4) \\C=(1,1)$

EF: $E=(4,4)\\F=(6,2)$

Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:

$\frac{y_1-y_2}{x_1-x_2}$ = Slope Formula

BC = $\frac{4-1}{-2-1} =\frac{3}{-3} =\frac{-3}{3} =-1$

EF = $\frac{4-2}{4-6} =\frac{2}{-2}=\frac{-2}{2}= -1$

So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:

Let's use point = $(4,4)$

$y=4,m=-1,x=4,b=?$

$y=mx+b\\4=-1(4)+b\\4=-4+b\\(+4) 4=-4+b(+4)\\8=b$

We used the formula and found that the y-intercept was $(0,8)$ , so now we plug in all of our answers:

$y=-1x+8$

This is the complete answer but if you wanted to simplify it more you could write it as $y=-x+8$ , cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.

7 0

2 years ago

The family car runs out of gas. You have to push it up the driveway into a service station. The ramp is 4 meters long and rises

Sophie [7]

Answer:

Step-by-step explanation:

slope, m = 0.1m/4m = 0.025

Theoretical effort (ignoring friction) = 9000N * 0.025 = 225 N

actual effort = 300 N

efficiency

= potential energy out / actual energy in

= 225 N / 300 N = 0.75

7 0

3 years ago

9,25,49,81,121what it the pattern

Tpy6a [65]

16+8+8+8 is the answering to solve the pattern

4 0

3 years ago

Tree in Oakland has a mass of approximately 3 x 10 kilograms. A tree in Mapleville has a m

soldier1979 [14.2K]

Honestly don’t know but when in doubt pick c

6 0

3 years ago

A journal published a study of the lifestyles of visually impaired students. Using diaries, the students kept track of several v

Serga [27]

Answer:

a) $P(X$

b) $P(8 \leq X\leq 10) = 0.3640$

c) $x = 8.89 -0.842(2.11)=7.11$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=8.89,\sigma=2.11)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

a. Find P(x < 6). P(x < 6) = (Round to four decimal places as needed.)

In order to find this probability we can use the z score given by this formula

$z=\frac{x-\mu}{\sigma}$

And if we use this we got this:

$P(X$

b. Find P(8 < x < 10) = (Round to four decimal places as needed.)

$P(8 \leq X\leq 10) = P(\frac{8-8.89}{2.11} \leq Z< \frac{10-8.89}{2.11})=P(-0.422 \leq Z\leq 0.526)=P(Z$

c. Find the value a for which P(x < a) = 0.2. (Round to two decimal places as needed.)

For this case we can use the definition of z score given by:

$z=\frac{x-\mu}{\sigma}$

First we need to find a z score that accumulates 0.2 of the area on the left tail, and the z score on this case is z=-0.842. and using this z score we can solve for x like this:

$-0.842=\frac{x-8.89}{2.11}$

And if we solve for x we got:

$x = 8.89 -0.842(2.11)=7.11$

And that would be the value required for this case.

6 0

3 years ago