For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
Clearing x from each one we have:
For 1.5x-1> 6.5:
1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
x> 5
For 7x + 3 <-25:
7x <-25-3
7x <-28
x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image
Answer:
B 1
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
2| -2 1 5 0 4 1
↓ -4 -6 -2 -4 0
_________________
-2 -3 -1 -2 0 1→ -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [-2x⁵ + x⁴ + 5x³ + 4x + 1]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is, tells you whether the next step is to <em>subtract</em> or <em>add</em>, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that -2 in your quotient can be a -2x⁴, and the -3 [x³] follows right behind it, then 1 [-x²], -2[x], and finally, [1\x - 2] (remainder is 1, so set it over your denominator, which is the divisor), giving you the other factor of -2x⁴ - 3x³ - x² -2x + [x - 2]⁻¹.
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Answer:
Multiply the decimal for the percent of tax by the purchase price, then add the amount of tax to the price to find the total price.
Step-by-step explanation:
Sales tax is an amount added to a price to get the total.
We multiply by the decimal for the percent; this means we divide the percent by 100 before we multiply.
Once we multiply, this gives us the amount of sales tax. We add this to the price of the item to get the total purchase price.
Since one bus holds 36 students and 4 adults, 40 people are in one bus so...
40 (6)
=240
Total 240 people are going on the field trip.
Hope this helped you.
Have a great day!
