Answer:
for the first one its a=8
for the second one the answer is their is no solution
for the last one the answer is p = -1.
Step-by-step explanation for the last one:
1)Expand.
30-6p=16-20p
2) Subtract 16 from both sides.
30-6p-16=-20p
3 Simplify 30-6p-16 to -6p+14.
-6p+14=-20p
4 Add 6p to both sides.
14=-20p+6p
5 Simplify -20p + 6p to −14p.
14=-14p14=−14p
6 Divide both sides by−14.
-1=p
7 Switch sides.
p=-1
Answer:
(5, 0) and (-3, 0)
Step-by-step explanation:
To find the x-intercepts, let's set y = 0.
0 = x² - 2x - 15
0 = (x - 5)(x + 3) -- To factor x² - 2x - 15, we need to find 2 numbers with a sum of -2 and product of -15; these numbers are -5 and 3.
x - 5 = 0 or x + 3 = 0 -- Use ZPP (Zero Product Property)
x = 5, x = -3
Answer:
6x - 5 = 67
6x = 72
x = 12
Step-by-step explanation:
setting the equation and variable x to the number
6 times the number and its difference to five is 67
plus five on both sides
divide both sides by 6
answer is 12
Answer: a=3.74
Step-by-step explanation:
first use 15 to solve for x and z. x=7.5 and z=12.99 or 13. Once you know x you can use that to solve for y and a. y=6.5 and x=7.5 and using pythagorean theorem you will find that a= the square root of 14 or 3.74.
Answer:
150 minutes
Step-by-step explanation:
1 hour is 60 minute, 2 hours are 120 minutes. You have also one half of hour, which is 30 minutes.
2.5hrs = 60 + 60 + 30 = 150 minutes
