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2 years ago

The solution set for 7q^2-28=0

1 answer:

8 0

7q² - 28 = 0
   + 28 + 28
   7q² = 28
       7 7
   q² = 4
      q = ±4
      q = 4 or q = -4

Solution Set: {±4} and {q|q = 4 or q = -4}

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Julie has 5 cherry lollipops,1 lime lollipops, and 2 grape lollipops in a bag. She is going to select one lollipop, replace the

Georgia [21]

Answer: $\dfrac{15}{32}$

Step-by-step explanation:

Given : The number of cherry lollipop = 5

The total number of lollipop = 8

the number of lollipops other than grape =6

The probability of selecting a cherry lollipop is given by :_

$\text{P(Cherry)}=\dfrac{5}{8}$

The probability of selecting a lollipop other than grape is given by :_

$\text{P(Other than grape)}=\dfrac{6}{8}$

Since, there is replacement , then the events are independent of each other.

Now, the probability that Julie will select a cherry lollipop and then a lollipop other than grape is given by :-

$\text{P(Cherry and other than grape)}=\dfrac{5}{8}\times\dfrac{6}{8}=\dfrac{15}{32}$

Hence, the required probability = $\dfrac{15}{32}$

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3 years ago

What type of graph is this?

murzikaleks [220]

Answer:

The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.

Step-by-step explanation:

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2 years ago

What is the remainder of (3x^4+2x^3-x^2+2x-14)/ (x+2)

Allisa [31]

Hi,

I assume the forward slash meant it as a fraction VS it being a division symbol. To answer your question, the remainder is 10.

Hope this helps.

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2 years ago

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Lelu [443]

Square root of 69,081 is 262.832646, so the answer to the nearest tenth will be 262.8. Good luck!

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3 years ago

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A bus went halfway from a village to a city at a certain speed. Then it stopped in traffic for an hour. In order to catch up the

k0ka [10]

We have to assume that the speed before being stuck was sufficient to get to the destination on time had there been no delay. Call that speed "s" in km/h.

Since 200 km is "halfway", the total distance must be 400 km.

time = distance / speed
total time = (time for first half) + (delay) + (time for second half)

400/s = 200/s + 1 + 200/(s+10) . . . .times are in hours, distances in km
200/s = 1 + 200/(s+10) . . . . . . . . . . subtract 200/s
200(s+10) = s(s+10) +200s . . . . . . .multiply by s(s+10)
0 = s² +10s - 2000 . . . . . . . . . . . . . .subtract the left side
(s+50)(s-40) = 0
Solutions are s = -50, s = 40

The speed of the bus before the traffic holdup was 40 km/h.

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2 years ago