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raketka [301]
3 years ago
9

A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your a

nswer to the nearest cent if necessary.
Mathematics
1 answer:
horsena [70]3 years ago
7 0

The box of 10 is a better buy because each bar of soap is worth $1.08 instead of $1.26 that you would pay for the box of 14.

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Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.
masya89 [10]

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

5 0
3 years ago
There are 10 decimeters in every meter. If a piece of fabric is 32 decimeters long, how long is it when measured in meters?
lara31 [8.8K]
10 dm = 1 m
32 dm = 32/10 = 3.2 m
Answer: 3.2 m
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3 years ago
Which of these equations represent functions? Check all that apply.
AVprozaik [17]
A is quadratic function
B is equation of a circle
C is equation of a line
D is hiperbolic funciotn
5 0
3 years ago
A coin favors heads when tossed and there are 15 heads in 18 tosses
Alexxandr [17]
This is not correct.  You might think you are "on a roll" but the probability of heads on any toss is just as likely as the probability of tails because each coin toss is an independent event, meaning, two events related in such a way that knowing about the occurrence of one event has no effect on the probability of the the other event.  This would hold true if you have tossed these 15 heads and you believe that tails "are due".  It is an independent event.  
7 0
3 years ago
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