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ZanzabumX [31]
3 years ago
6

There were 976 students that attended assemblies on bullying prevention throughout the

Mathematics
1 answer:
AveGali [126]3 years ago
3 0

Answer:

245+368=?-976

Step-by-step explanation:

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A corporate team-building event costs $19plus an additional $1 per attendee. How many attendees can there be, at most, if the bu
Mars2501 [29]

Answer:

There can be at most 12 attendees in a corporate team-building event.

Step-by-step explanation:

Let x denotes number of attendees in a corporate team-building event.

Fixed cost = $19

Cost charged per attendee = $1

Budget for the corporate team-building event = $31

Therefore,

19+1(x)\leq 31\\19+x\leq 31\\x\leq 31-19\\x\leq 12

So, there can be at most 12 attendees in a corporate team-building event.

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3 years ago
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What is graphing. Just wondering
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Madelyn conducted a scientific experiment. For a certain time, the temperature of a compound rose 33 degrees every 1 hours. How
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33 degrees
If it rises 33 degrees per hour, in one hour it would raise by that much :)
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3 years ago
If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
3 years ago
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A two-dimensional figure with four sides has 2 pairs of opposite parallel sides, 4 congruent sides, and 4 right angles.
emmasim [6.3K]

Answer:A two-dimensional figure with four sides has 2 pairs of opposite parallel sides, 4 congruent sides, and 4 right angles.

Step-by-step explanation:

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