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DochEvi [55]
3 years ago
8

The product of a number and 50

Mathematics
2 answers:
Daniel [21]3 years ago
4 0
"Product" means we are looking at a multiplication problem.

Can be written as: 

A number (n) times 50

n x 50

The simplest (and most common way) to write it:

50n
natulia [17]3 years ago
3 0
Product means multiplcation
product of x and y means x times y or xy
like sum of x and y=x+y so


a number could be any number, we will represent it as x so
product of x and 50=x50 or 50x
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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
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Which expression is equivalent to 2(3 - x) - 12 + 4x
iragen [17]
You would distribute then combine like terms to get your answer.

3 0
3 years ago
Mary's children decide to run a lemonade stand to earn some extra money.The cost to start the business is $1.20 and each cup of
o-na [289]
They must sell, 30 cups of lemonade. How I got my answer.

Since it cost $1.20 to start, and a cup of lemonade cost $0.6 to make and there selling them at $0.10 each. So we know they are making a $0.4 profit off of each cup of lemonade. We now have to multiply 4×30=120.

I hope this helps!
7 0
3 years ago
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Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.
Igoryamba
Pi/4 radians  
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
 sqrt(2) = 1/x
 x*sqrt(2) = 1
 x = 1/sqrt(2)
 Let's multiply both numerator and denominator by sqrt(2), so
 x = sqrt(2)/2 
 And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
 45 * (2*pi)/360 = 90*pi/360 = pi/4 
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5 0
3 years ago
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1/2r -3= 3 (4-3/2r) solve for r
s2008m [1.1K]

1/2r -3= 3 (4-3/2r) is to be solved for r.


I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.


Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .

Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:


r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r


Now expand the right side, using the distributive property of

r - 3 = 24 - 9r


Regrouping so as to combine like terms:


10r = 30


Solving for r: r = 30/10 = 3


The value of r that satisfies this equation is 3

8 0
3 years ago
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