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miv72 [106K]
3 years ago
14

Kayla and her best friend Christina go shopping. The function p(t) = 2x4 + 6x3 − 3x2 + 24 represents how much money each girl sp

ent based on the number of hours they were shopping. If Kayla and Christina each go shopping for 2 hours, how much money did they spend together?
Mathematics
2 answers:
djverab [1.8K]3 years ago
8 0

Answer:

Kayla and Christina spent $184 together.

Step-by-step explanation:

The given function p(x) = 2x^{4}+6x^{3}-3x^{2}+24 represents the money spent by each girl in x hours.

If Kayla did the shopping for x = 2 hours

p(2) = 2(2)^{4}+6(2)^{3}-3(2)^{2}+24

p(2) = 32 + 48 - 12 + 24

p(2) = $92

Now we have to calculate the money spent by two girls Kayla and Christina both

Money spent by both = 2×92

= $184

oksano4ka [1.4K]3 years ago
6 0

Answer:

184.

Step-by-step explanation:

p(x) = 2x^4 + 6x^3 - 3x^2 + 24

Whet  x = 2:

p(2) = 2(2)^4 + 6(2)^3 - 3(2)^2 + 24

= 2*16 + 6*8 - 3*4 + 24

=  32 + 48 - 12 + 24

= 92.

Together they spent  184.

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A water molecule is made up of 3 atoms. One third of the atoms are oxygen and the remaining atoms are hydrogen. If there are 114
Mashcka [7]

Answer:

228 hydrogen atoms

Step-by-step explanation:

In a water molecule,

1/3rd is oxygen atoms, and

2/3rd (1 - 1/3 = 2/3) is hydrogen atoms

If there are 114 water molecules,

Total number of atoms would be:

3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)

Out of these, 2/3rd would be hydrogen atoms, so:

\frac{2}{3}*342=228

There would be 228 hydrogen atoms

7 0
4 years ago
The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.(A) Calculate the price elasticity of demand when the price i
vitfil [10]

Answer with Step-by-step explanation:

Since we have given that

q = 896-20p

p = $32

.(A) Calculate the price elasticity of demand

As we know that

e=-\dfrac{dq}{dp}\times \dfrac{p}{q}\\\\e=-(-20)\times \dfrac{32}{896-20p}\\\\e=\dfrac{20\times 32}{896-20p}\\\\e=\dfrac{640}{896-20p}\\\\e=\dfrac{640}{896-640}\\\\e=\dfrac{640}{256}=2.5

(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.

(C)  Also, calculate the price that gives a maximum weekly revenue.

R=pq\\\\R=p(896-20p)\\\\R=896p-20p^2

We first find the first derivative:

R'(p)=896-400p

So, it becomes,

896-40p=0\\\\40p=896\\\\p=\dfrac{896}{40}=\$22.4

R=-40<0, so, it will give maximum revenue.

(D) Find this maximum revenue.

Maximum revenue would be R=pq\\\\R=22.4(896-20\times 22.4)\\\\R=\$10035.2

7 0
3 years ago
What multiplies to be 280 and adds to be negative 36
photoshop1234 [79]
The two numbers are -18+ 2√(11) and -18 -2√(11).

-18+ 2√(11)+ [-18 -2√(11)]= -36
[-18+ 2√(11)]* [-18 -2√(11)]= 280.

Hope this helps~


4 0
4 years ago
What is the point of this
Ivan

Answer:

B and I are both coplanar

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Otieno is k years old.He is 5 years older than kidole what will be their age fours to come​
EleoNora [17]

Answer:

Otieno's age in 4 years: k+4

Kidole's age in 4 years: k-1

Step-by-step explanation:

k = Otieno's age

k-5 = Kidole's age

Their ages will increase by 4 years when 4 years pass.

k+4 = Otieno's age in 4 years

k-5+4 = Kidole's age in 4 years

k-1 = Kidole's age in 4 years (after simplifying the expression)

I hope this helps!

6 0
3 years ago
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