Please show you're work! THANKS! Need help asap
homam3626 avatar

Answers

Answer 1
Answer:

9514 1404 393

Answer:

  2a. (x, y) = (2, 2)

  2b. (x, y) = (3, -1)

  3. -5, 3, y, 5, 1

Step-by-step explanation:

2A.

The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.

  2(3y-4) -y = 2 . . . . . substitute for x

  6y -8 -y = 2 . . . . . . eliminate parentheses

  5y = 10 . . . . . . . . . add 8, collect terms

  y = 2 . . . . . . . . . . divide by 5

  x = 3(2) -4 = 2 . . . find x using the first equation

The solution is (x, y) = (2, 2).

__

2B.

Add 3 times the second equation to the first.

  (3x +2y) +3(-x +y) = (7) +3(-4)

  5y = -5 . . . . . simplify

  y = -1 . . . . . . . divide by 5

  x = y +4 = -1 +4 = 3 . . . . rearrange the second equation

The solution is (x, y) = (3, -1).

__

3.

The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .

[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]


Related Questions

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? 1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) 2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) 3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) 4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Which of the following scatterplots would have a trend line with a positive slope?
The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?
The temperature in potter's kiln dropped 760 degrees in 4 hours. On average, how much did the temperature drop per hour?
Find an equation for the line parallel to 3x-5y=2 with​ y-intercept (0,1/5). Write the answer in ​ slope-intercept form.

-7/3 x = 7 solve for x

Answers

Answer:

x=  -3

Step-by-step explanation:

The question is in the pic pls help

Answers

Answer:

pink

Step-by-step explanation:

An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What raw score corresponds to the 70th percentile?

Answers

Answer:

82.62

Step-by-step explanation:

Mean score (μ) = 80

Standard deviation (σ) = 5

The 70th percentile of a normal distribution has an equivalent z-score of roughly 0.525.

For any given score, X, the z-score can be determined by:

z=(X-\mu)/(\sigma)

For z = 0.525:

0.525=(X-80)/(5)\n X=82.62

A raw score of approximately 82.62 corresponds to the 70th percentile.

Answer: the raw score that corresponds to the 70th percentile is 82.625

Step-by-step explanation:

Since the population of scores in the aptitude test is normally distributed., we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = aptitude test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 80

σ = 5

We want to find the raw score that corresponds to the 70th percentile.

70th percentile = 70/100 = 0.7

Looking at the normal distribution table, the z score corresponding to 0.7 is 0.525.

Therefore,

0.525 = (x - 80)/5

5 × 0.525 = x - 80

2.625 = x - 80

x = 2.625 + 80

x = 82.625

Log8 (t) - log8 (5) = 1

Answers

Answer:

t = 40

Step-by-step explanation:

Given the logarithmic expression: log_8 (t) - log_8 5= 1

Use the Logarithmic Property (Quotient Rule):

log_b a - log_b c = log_b ((a)/(c))

log_8 (t) - log_8 5 = log_8 ((t)/(5)) = 1

Next, using the Logarithmic Property:  log_b b= 1

We must determine the possible value oft that can be divided by 5 to produce a quotient of 8 that will make the logarithmic property, log_b b= 1, true.  In that case, t = 40 divided by 5 results in a quotient of 8.

log_8 (t) - log_8 5 = log_8 ((t)/(5)) = log_8 ((40)/(5)) = log_8 8 = 1

Therefore, the value oft = 40.

How do you do this 6-2x=10

Answers

-2x=10-6

The answer: x= -2

Answer:

x= -2

Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6          -6

-----------------

      -2x = 4

      ------------

        -2 = -2

        x = -2

Y=3x+4. Find an equation of a line that is:parallel to the given line

y=3x+4. Find an equation of a line that is:

perpendicular to the given line

PLZ ANSWER FAST 50 POINTS

Answers

Answer:

Parallel: y = 3x +b, where b ≠ 4

Perpendicular: y = -1/3x + b

Step-by-step explanation:

Parallel Lines have the same slope but different y-intercepts.

Perpendicular Lines have a negative reciprocal in slope.

Other Questions