(2k² + 5k - 6)(3k - 1)
(6k³ - 2k² + 15k² - 5k - 18k + 6)
6k² + 13k² - 23k + 6
Use the FOIL method to simplify the problem.
(FOIL stands for first outer, inner, last)
Jack paid $ 23000 for the ring.
<u>Solution:</u>
Given that, Jack Matthew bought a new diamond ring for $20,000
Sales tax is 5% with a 10% excise tax
<em><u>To find: total price including taxes</u></em>
Given that sales tax is 5% of 20,000
Also given that excise tax is 10%
<em>Total price = cost price + sales tax + excise tax</em>
Total price = 20,000 + 1000 + 2000
Total price = 23000
Hence, jack paid $ 23000 for the ring.
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!
193.58 + d > = 200 : d > = 6.42...answer is A