Which of the following is equivalent to the quadratic equation below after completing the square?

You have no idea how much it would mean to me and make my day if you helped me with this question ! :)

rodikova [14]

So to do this, you would use the formula:

Number of favorable outcomes
________________________

Total number of outcomes.

In the first question you are asked: Probability of an even number being spun. We can see that there are 4 even numbers, which is our favorable outcome and that over the number of outcomes, which is 8, would be 4/8 = 0.5 or 50%. Therefore the answer to #1 is 0.5 as a decimal or 50% as a percent. (Do it the way the directions tell you to).

In the second question you are asked the probability to spin a number greater than 3. This does not include 3, so you have 4, 5, 6, 7, and 8. That is 5 numbers. 5 numbers divided by the total number of outcomes is 5/8, which is equal to 0.625, or 62.5%. Therefore the answer to #2 is 0.625 as a decimal or 62.5% as a percent.

The third question asks for the probability that an odd number would be spun. We can see the odd numbers are: 1,3,5,7. This is 4 favorable outcomes divided by 8, the total number of outcomes. 4/8 is equal to 0.5 or 50%. Therefore the answer to #3 is 50% as a percent or 0.5 as decimal.

Hope this helps. Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps!

8 0

3 years ago

25pts awarded and brainliest awarded, plz help asap!!!!!!

ivann1987 [24]

Answer:

B. f(-1)=6

C. The domain of f(x) is the set {-2.-1,0,1,2,3,4,5,6}

Step-by-step explanation:

To find f(5) from the table means, the y-value that corresponds to x=5.

This value is 12.

This implies that:

f(5)=12

Also the y-value that corresponds to -1 is 6.

Hence f(-1)=6

The domain of f(x) are the set of all the x-values.

The domain is : {-2.-1,0,1,2,3,4,5,6}

The range for f(x) is the set of all the corresponding y-values.

From the table, the range is: {5,6,7,8,9,10,11,12,13}

4 0

3 years ago

A drug company claims that fewer than 1% of pills that it produces and ships fail to retain full potency after 60 days of produc

Harlamova29_29 [7]

4% of the 200 pills failed to retain full potency after 60 days.

8 0

3 years ago

The perimeter of a rectangle is 150cm. The length is 15cm greater than the width. Find the dimensions

ANEK [815]

150/4 = 37.5cm. You divide by four because there are four sides on a rectangle. But 37.5 is the cm of a square. Since it says one of the sides is 15cm greater, you subtract 37.5 - 15 = 27.5cm on 2 of the width. While the other 2 lengths are greater than the width by 15 cm, so you add 15 to 37.5 which gives you 52.5cm. So the 2 width are 27.5cm and the length is 52.5cm.

7 0

3 years ago

Given: △EDN∼△LKI, DQ , KO are altitudes, DN=12, KI=4, DQ=KO+6. Find: QN and OI.

fgiga [73]

Answer:

QN = 3√7
OI = √7

Step-by-step explanation:

The ratio of corresponding sides DN and KI is 12 : 4 = 3 : 1. The same ratio applies to altitudes DQ and KO. Since the difference between these altitudes is 6 and the difference between their ratio units is 3-1 = 2, each ratio unit must stand for 6/2 = 3 units of linear measure. That is, ...

DQ = (3 units)·3 = 9 units

KO = (3 units)·1 = 3 units

Then the base lengths QN and OI can be found from the Pythagorean theorem:

KI² = KO² +OI²

4² = 3² +OI²

OI = √(16 -9)

OI = √7

QN = 3·OI = 3√7

8 0

3 years ago