Please help me on this thank you so much

Please help asap! Will give brainliest! Please answer correctly!<br> No guessing!

jok3333 [9.3K]

Answer:

Option D

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

4 0

3 years ago

Solve <br> 3x2- 2x -7 = 0

Gwar [14]

Answer:

x=-2

do your box method and find what multiplies to C and adds to B

to check your answer substitute x with what x=

8 0

3 years ago

Which of the following situations could be modeled by an exponential function?

Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0

3 years ago

A company is looking to fill its Board of Directors position. 3 positions will be for men, 2

ycow [4]

Answer:

1764 ways

Step-by-step explanation:

Given:

Men = 9

Women = 7

Required Men: 3

Required Women: 2

'

Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

$Male = nCr$

Where $nCr = \frac{n!}{r!(n-r)!}$

$Male = 9C3$

$Male = \frac{9!}{3!(9-3)!}$

$Male = \frac{9!}{3!(6)!}$

$Male = \frac{9 * 8 * 7 * 6!}{3!6!}$

$Male = \frac{9 * 8 * 7}{3!}$

$Male = \frac{9 * 8 * 7}{3*2*1}$

$Male = 84 ways$

Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

$Female = nCr$

Where $nCr = \frac{n!}{r!(n-r)!}$

$Female = 7C2$

$Female = \frac{7!}{2!(7-2)!}}$

$Female = \frac{7!}{2!(5)!}$

$Female = \frac{7 * 6 * 5!}{2!5!}$

$Female = \frac{7 * 6}{2!}$

$Female = \frac{42}{2*1}$

$Female = 21 ways$

Recall that

Total = (Selection of Men) and (Selection of Women)

Hence,

$Total = 84 * 21$

$Total = 1764 ways$

4 0

3 years ago

For each 110 mm of coloured fabric Peter uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of whi

jeka57 [31]

Answer:

2:11.

Step-by-step explanation:

2cm = 20 mm.

So the ratio of white fabric to coloured is 20:110

= 2:11.

3 0

3 years ago