(Algebra II) 11. d. & e.
lilly2london avatar

Answers

Answer 1
Answer:

d.

Given : p(x) = x⁵

            p(-x) = (-x)⁵

            p(-x) = (-1)⁵(x)⁵

            p(-x) = -(x)⁵

            0.5p(-x) = -0.5(x)⁵

            0.5p(-x) + 4 = -0.5(x)⁵ + 4

            m(x) = -0.5(x)⁵ + 4

e.

Given : p(x) = x⁴

            p(0.5x) = (0.5x)⁴

            p(0.5x) = (0.5)⁴(x)⁴

           -p(0.5x) = -(0.5)⁴(x)⁴

           -p(0.5x) + 2 = -(0.5)⁴(x)⁴ + 2

            m(x) = -(0.5)⁴(x)⁴ + 2


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Katherine and Shelly had $288 altogether. Katherinine gave 1/3 of her share to Shally and their father gave $68 to Shally. They now have the sme amount ofMoney. How
Much money did
Shally have at first?

Answers

This is a problem that has to be read minutely to understand the tricks inside it.
Amount of money Catherine and Shelly had altogether = $288
Now Katherine gave 1/3 of her share to Shelly.
Let us assume the amount of money Katherine had = x
Amount of money Katherine gives to Shelly = x/3
The amount of money given by their father to Shelly = $68
Then
Amount of money that Katherine now has = [(x/3) + 68]
Now we can easily get to the equation
x = [(x/3) + 68]
3x = x + (68 * 3)
3x - x = 204
2x = 204
x = 204/2
  = 102
So the amount of money that Katherine has = $102
Amount of money Shelly had at first = x/3
                                                         = 102/3 dollars
                                                         = 34 dollars
So Shelly at first had $34 with her.

I'm curious as to how a wrong answer can be a "verified answer." What is BRAINLY's  process for verification?

You can see an error in the "verified answer" here:

"Amount of money that Katherine now has = [(x/3) + 68]"

No. If X is the amount of money Katherine had, and she gave away 1/3, then she has 2/3(x). And the +68?

Shelly's dad gave that $68 to Shelly, not to Katherine.

The answer my son and I came up with was $21. We used bar models since they aren't teaching 2-variable algebra in 5th grade. But here's the logic.

We know what Katherine and Shelly collectively now have $356 ($288 + $68 from the dad).

They have equal amounts now, so they each have $178. Half of that is $89, which is significant since we need to find the value of the "thirds" that constitute Katherine's original amount. She has two of those thirds left and each of the two is worth $89 (half of what she has now). This is really where the bar model method helps to visualize, by the way.

Now we now how much Katherine gave Shelly: $89 (same value as each of the other two, equal thirds of Katherine's original amount).

If we know that the $178 Shelly has now is made up from the $89 that Katherine gave her, plus the $68 her dad gave her, plus whatever mystery amount she started with, we can do $178 - ($68 + $89) and get $21.


Let's verify this answer right here:

Katherine started with $267 and Shelly started with $21.

Katherine gave Shelly $89 (1/3) of her money.

Katherine now has $178 ($267 - $89) and Shelly now has $110 ($21 + $89).

Shelly's dad gave her another $68. Now they both have $178.





Factorise:p^2-6p+5
do I need to find out what two numbers times together to get 5, and add to get -6? An explanation and answer would be great :/

Answers

Answer:

p²-6p+5

=(p-1)(p-5)
well i just have only an answer:
(p-5)(p-1)
sorry for the no explanation...
but ENJOY!!!

An initial deposit of $1400 earns 11% interest, compounded monthly. How much will be in the account in 3.5 years

Answers

Use the formula A = p(1 + r/n)^(nt).

Here is the set up:

You want to solve for A.

A = 1400[1 + (0.11)/(12)]^(12)(3.5)

Plug into calculator to find the value of A.

A = money in the account after 3.5 years.

Determine whether the polynomial is a difference of squares and if it is, factor it. y^2 – 225



is a difference of squares: (y + 15)^2

is a difference of squares: (y – 15)(y + 15)

is not a difference of squares

is a difference of squares: (y – 15)^2

Answers

(y-15)(y+15) if you do (y+15)^2, then that'll be y^2 + 225

At top speed a cheetah can travel 114 km/hour . HOW MANY METERS CAN IT TRAVEL PER SECOND PLEASE HELP ME and don't forget to explain

Answers

Hey there! :) So first of all, I got 31.67 per second. The way I got my answer is first, I knew that 1 KM is 1000 Meters. So now, I multiplied 114 x 1000 which equals 114,000 Meters. Then, I figured out that 1 Hour has 3600 Seconds. Then I did 114,000 ÷ 3,600 and got 31.67 Seconds. And that is how I got the answer!

Hope it helps and it's the right answer & it's understandable! :D

THIS IS NOT MULTIPLE CHOICE!!!!! ANSWER EACH PART!!!!A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese.
How many combined ounces of meat and cheese are used on each sandwich?
How many sandwiches were made in the hour?
How many ounces of meat were used?
How many ounces of cheese were used?
Label your answers a, b, c, and d.

Answers

Answer:

13 sandwhiches.

Step-by-step explanation:

a. 7 ounces, B. 13, C. 52, D.39. I think I’m sorry if I’m wrong.
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