2x + 3y = 1470
3y = -2x + 1470
y = -2/3x + 490 <== slope intercept form
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y = -2/3x + 490
slope = -2/3
y int = (0,490)
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description of graphing : Plot ur point at (0,490). Since the slope is -2/3, starting at (0,490)...go down 2 and to the right 3,then down 2 and to the right 3 and you will eventually cross the x axis at the x intercept.
The x intercept can be found by subbing in 0 for y and solving for x
y = -2/3x + 490
0 = -2/3x + 490
2/3x = 490
x = 490 * 3/2
x = 1470/2 = 735...so ur x intercept is (735,0)
therefore, your line will cross the x axis at (735,0)
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function notation is : f(x) = -2/3x + 490
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suppose his profit is 1593....
2x + 3y = 1593
3y = -2x + 1593
y = -2/3x + 531
the graphs for the two months :
similarities : they both have the same slope of -2/3
differences : they have different x and y intercepts
By the way, these are parallel lines
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sorry about the last one....can't see the 3rd month graph
Answer:
The 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Step-by-step explanation:
A (1 - <em>α</em>)% confidence interval for true mean (<em>μ</em>), when the population standard deviation is known is:

If the population standard deviation is not known, then the confidence interval for true mean is:

A 95% confidence interval for true mean is an interval estimate of the population mean. The interval has 0.95 probability of consisting the true value of the population mean.
It is provided that the 95% confidence interval for mean, based on a sample of size 30 is ($3402.08, $4142.75).
This interval implies that the true mean value is between $3402.08 and $4142.75 with 95% confidence.
Thus, the 95% confidence interval for the true mean length of the shafts is ($3402.08, $4142.75).
Answer:
The answer is 9.4 cm.
Step-by-step explanation:
To solve for the circumference of the circle, use the circumference formula, which is C = 2
.
Next, in the problem, the circle has a diameter measure but no radius measure. To find the radius of this circle, divide the diameter (3 cm) by 2, and it will equal 1.5 cm. The radius is being divided by 2 because the radius of any circle is equal to half the diameter of the circle.
Then, plug in the information given from the problem into the formula, and the formula will look like C = (2) (
) (1.5 cm).
Finally, solve the equation, and the answer is 9.4 cm.
20 the answer is 20 because you plug in 4 for n.
Answer:
Step-by-step explanation:
<em>(a).</em> 2( 2 )³ + a ( 2 )² - b ( 2 ) + 12 + ( 18 ) = 0
16 + 4a - 2b + 30 = 0
4a - 2b = - 46
<em>2a - b = - 23</em> ....... <em>( 1 )</em>
2 ( - 4 )³ + a ( - 4 )² - b ( - 4 ) + 12 = 0
- 128 + 16a + 4b + 12 = 0
16a + 4b = 116
<em>4a + b = 29</em> ........ <em>( 2 )</em>
<em>( 1 )</em> + <em>( 2 )</em>
6a = 6 , <em>a = 1</em>
4(1) + b = 29 , <em>b = 25</em>
<em>(b).</em> 2x³ + x² + 25x + 12 = 0
= <em>- 4</em> ( given: f(x) is divisible by x + 4 )
= <em>0.5</em>
= <em>3</em>