Answer:
need a little more information
Step-by-step explanation:
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
- Jack and Jill live 345 miles apart from one another
- They want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the route
- Jack's average rates 60 mph
- Jill's average rate is 55 mph
We need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
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Answer:
Step-by-step explanation:
complex roots always occur in pairs.
roots are 1,2-2i,2+2i
P(x)=a(x-a)(x-b)(x-c)
P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]
=1(x-1)[(x-2)+2i][(x-2)-2i]
=(x-1)[(x-2)²-(2i)²]
=(x-1)[(x-2)²-4i²]
=(x-1)[x²-4x+4-4(-1)]
=(x-1)[x²-4x+4+4]
=(x-1)[x²-4x+8]
=x³-4x²+8x-x²+4x-8
=x³-5x²+12x-8
Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.
<span>1. (−2/3) (16)
Enter your answer as a fraction, in simplified form.
answer: -32/3
2. What is the product of −2 1/2 and −3 1/3 ?
answer: 25/3
3. Divide.
−24/7
answer: -3 3/7
Enter your answer as a mixed number, in simplified form.
</span><span>4. A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4−3.4 kilometers per hour. The cheetah travels a total of 21.5 meters.
What is the total change in the cheetah's speed during this time?
A. 73.1
B. 71.9
C. -71.9
answer: D. -73.1
5. Multiply.
(−0.64) (−2.5)
answer: 1.6
Enter your answer as a decimal.
</span><span>6. Christopher recorded the low temperature each day for 1 week and recorded his results in this table.
Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Low −5 °F −8 °F −6 °F −8 °F −3 °F 2° F 7° F
What is the average low temperature for the week?
answer: -3
7.Divide.
5/6÷−2/3
answer: -5/4 or - 1 1/4 (mixed #) or -1.25 (decimal)
8. Jerry measured and timed the descent of a diving bell spider in a large fish tank. The spider reached a position 4 1/2 inches below the surface of the water after descending at a constant rate for 1 1/2 seconds. Jerry recorded this as −4 1/2 inches.
What is the position of the spider relative to the surface after 1 second?
answer: </span>-3
<span>9. Divide.
(3 3/4) ÷ (−2 1/2)
Enter your answer as a mixed number, in simplified form.
answer: -1 1/2
10. Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost including an 18% tip.
Which expression is equivalent to the amount Miko paid?
</span>
<span>answer: 16 + 0.18(16)</span>
