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Alex_Xolod [135]
3 years ago
11

By completing the square1. x2 + 5x + 6= 0cing​

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

x=-3 and x=-2

Step-by-step explanation:

I wrote the math down

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Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Mademuasel [1]

We are given the function:

g(x) = 6 (4)^x

 

Part A.

To get the average rate of change, we use the formula:

average rate of change = [g(x2) – g(x1)] / (x2 – x1)

 

Section A:

average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) = 18

 

Section B:

average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) = 288

 

Part B.

288 / 18 = 16

Therefore the average rate of change of Section B is 16 times greater than in Section A.

 

<span>The average rate of change is greater between x = 2 to x = 3 than between x = 1 and x = 0 because an exponential function's rate of change increases with increasing x (not constant).</span>

8 0
3 years ago
Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
6 0
2 years ago
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying th
Leona [35]

Step-by-step explanation:

25m + 10b = 400

not enough info to solve for m or b. but that's the equation you would use.

5 0
3 years ago
Help 5y^5/y^3 a) 5y^2 b) 5/y^2 c) 5y^8 d) 5y
WARRIOR [948]

Answer:

a) 5y²

Step-by-step explanation:

5 divided by 1 is still 5

y^5/y^3 subtract the exponents since the base is the same

6 0
3 years ago
Read 2 more answers
I will give brainliest if this is answerd in 10 min it is timed here it is:this is worth 100 pts
Jobisdone [24]

Answer:

customary system:

miles

ounces

metric system:

deciliters

kilometers

centigram

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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