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2 years ago

6x – 2y = 2

2 answers:

6 0

The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients. Then, add the equations to eliminate x.

antiseptic1488 [7]2 years ago

3 0

The LCM of the coefficients of x , that is 6 and 8, is 24

4*6 = 24 and 3*8 = 24

so if we multiply the first equation by 4 and the second one by 3 we get 2 terms 24x in each equation.

Now subtracting the 2 equations will eliminate the x terms.

You might be interested in

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?

FrozenT [24]

Quadratic equation: ax² + bx + c =0

x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a

6 = x² – 10x ; x² - 10x -6 =0
(a=1, b= - 10 and c = - 6

x' = [10+√(10²+4(1)(-6)]/2(1) and x" = [10-√(10²+4(1)(-6)]/2(1)
x' =5+√31 and x' = 5-√31

7 0

2 years ago

Read 2 more answers

Write the equation of the line fully simplified slope-intercept form.

FinnZ [79.3K]

Answer:

y=-4/10x+ 5 or y=-0.4x+5

Step-by-step explanation:

The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.

1. Figure out your slope:

Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.

2. Determine whether it is positive or negative

A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward

3. Find the y-intercept

Simply look at the graph and find where the line crosses the y-axis

4. Plug everything into the equation

Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!

7 0

2 years ago

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches. If the girth is 63

tester [92]

Answer:

Length of package can be = 22 inches

Step-by-step explanation:

Given:

For a package to qualify for a certain postage rate, the sum of its length and girth cannot exceed 85 inches

To find length of package when girth of package is = 63 inches

Solution:

Let length of package be = $l$ inches

Let girth length of package be = $g$ inches

Sum of length and girth of package = $(l+g)$ inches

To qualify for a certain postage rate the sum of length and girth should not exceed 85 inches.

Thus, the inequality representing the situation can be given as:

$l+g\leq 85$

We are given girth of package is = 63 inches

So, inequality to find length would be:

$l+63\leq 85$

Subtracting both sides by 63.

$l+63-63\leq 85-63$

$l\leq 22$ inches

So, length should not exceed 22 inches in order to qualify.

Thus, the maximum length of package to qualify for the postal rate must be = 22 inches

3 0

2 years ago

The grade point average (GPA) of the students at Lakeview High School is normally distributed with a mean of 3.1 and a standard

Morgarella [4.7K]

Approximately 1718 have a score within that range.

We calculate the z-score for each end of this spectrum:

z = (X-μ)/σ = (2.5-3.1)/0.3 = -0.6/0.3 = -2

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this z-score is 0.0228.

For the upper end:
z = (3.7-3.1)/0.3 = 0.6/0.3 = 2

Using a z-table, we see that the area to the left of, less than, this z-score is 0.9772.

The probability between these is given by subtracting these:
0.9772 - 0.0228 = 0.9544.

This means the proportion of people that should fall between these is 0.9544:
0.9544*1800 = 1717.92 ≈ 1718

4 0

2 years ago

5 equally sized boxes of cake mix fell off the back of Jake's truck. Together they weigh 925.98 pounds. How much does each ball

uysha [10]

we are given

5 equally sized boxes of cake mix fell off the back of Jake's truck

it means that

total number of balls =5

Together they weigh 925.98 pounds

total weighs =925.98 pounds

each ball weighs = (total weights)/(total number of balls)

now, we can plug values

each ball weighs = $\frac{925.98}{5}$

each ball weighs is 185.196 pounds..................Answer

4 0

2 years ago