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Andru [333]
3 years ago
6

Suppose r(x) and t(x) are two functions with the same domain, and let h(x)=r(x)+t(x).

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

If the maximum of function r(x) and t(x) occur at the same point c in domain P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

Step-by-step explanation:

If the maximum of function r(x) and t(x) occur at the same point c in domain then M=r(c) and N=t(c) So in this case P = max(r(x)+t(x)) = M+N

In general P  ≤  M+N

by definition of maximum  

r(x)≤M,t(x)≤N   for all x in domain

=>  r(x)+t(x)≤M+N   for all x in domain

=> max(r(x)+t(x)) <= M+N

=> P  ≤  M+N

Thus we get in general the relationship is P  ≤  M+N

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Dan earns £342 over the course of a five-day week. How much is that per day?
alex41 [277]

Answer:

68.4

Step-by-step explanation:

Divide 342 by 5

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2 years ago
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Follow all directions in the problem below.
kirill115 [55]

Answer: 110 test were purchased

Step-by-step explanation:

Set P = number of packets of 10 test

Total cost = $30 + $11 x P = $151

$11xP = $151 - $30 = $121

P = $121/$11 = 11 packets were purchased

Test purchased = 11packets x 10 test/packet = 110 test were purchased

Answer: 110 test were purchased

<h3><em>Spymore</em></h3>
4 0
3 years ago
(a) Find an angle between 0° and 360° that is coterminal with – 120°.
Novay_Z [31]

Answer:

a)  240\degree

b) \frac{15\pi}{4}

Step-by-step explanation:

<u>Coterminal angles</u> have the same terminal sides in standard position.

a) To find an angle between 0\degree and 360\degree, that is coterminal with -120\degree, we keep adding multiples of 360\degree until we get an angle within the specified range.

 -120\degree \implies -120\degree +360\degree=240\degree.

In some cases you would have to subtract in order to get the specified angle. That is when the angle given is positive.

b) This time we want to find an that coterminal with \frac{15\pi}{4} radians.

We keep subtracting multiples of 2\pi until we get an angle measure within the specified range.

\frac{15\pi}{4}=\frac{15\pi}{4}-2\pi=\frac{7\pi}{4}

4 0
3 years ago
3x² - 12x + 8 when x = -2. ​
stealth61 [152]

Answer:

Use photo math, it will explain literally all the steps

8 0
3 years ago
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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0
3 years ago
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