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2 years ago

The graphs below have the same shape.what is the equation of the red graph?

Mathematics

1 answer:

Setler [38]2 years ago

6 0

Answer:

$G(x)=4-x^{4}$

Step-by-step explanation:

Notice that the red graph is the blue graph shifted 1 units up.

According to the function transformation rules, we add $k$ to the output of the function to shift its graph $k$ units up, and we subtract $k$ to the output of the function to shift its graph $k$ units down.

The output of our function is $3-x^{4}$ , and since we want to shift 1 units up, $k=1$ . In other words, we just need to add 1 to the output of the function:

$G(X)=3-x^{4} +1$

$G(x)=3+1-x^{4}$

$G(x)=4-x^{4}$

We can conclude that the equation of the red graph is $G(x)=4-x^{4}$ .

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How to solve 12ax-2ax+14x-2a+ -3x

Advocard [28]

That long, messy expression is not an equation and it's not a question,
so there's nothing to solve or answer. However, it IS long and messy, so
your homework assignment might be to 'simplify' it. Here's how:

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Everything we'll do to this is called "combine like terms". That means
"combine terms that are alike". Terms are alike when they have the
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12ax and -2ax are like terms. Combine them, and you get 10ax .

14x and -3x are like terms. Combine them, and you get 11x .

So now we have: 10ax + 11x + 2a .

Nothing has been changed. This shorter, simpler expression has
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just been cleaned up, and it looks neater and simpler.

You might also be expected to 'factor' the expression. I don't know.
If you want to do that, then you could do it in 2 different ways . . .
either factor the 'x' from the two terms that have 'x' in them, or
else factor the 'a' from the two terms that have 'a' in them.
Without explanation, here's how those would look:

x(10a + 11) + 2a
or
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Again, nothing has changed. Both of these have the same value, and
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8 0

2 years ago

A restaurant offers a catering service which costs $25.00 per person with a $119.50 service charge. For parties of 50 or more pe

Molodets [167]

Answer:

T1(n) = 25n +119.50 where n belongs to $1 \leq n$ .

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Step-by-step explanation:

We are given two situations first is for normal days and the other is for days when 50 or more people are going to this restaurant for the party.

Let the number of person going for this restaurant be "n"

For normal day, we are given

catering service = $25 per person

service charge = $119.50

Let the total cost of the restaurant be T

Cost for this case will be T1

T1(n) = 25n +119.50 where n belongs to $1 \leq n$

similarly for the case when 50 or more than that goes to this restaurant for party.

cost after discount

Catering service = $20.00 per person

service charge = $59.00

now the cost of this case will be T2

T2(n) = 20n + 59 where n belongs to $50\leq n$ .

Therefore the two piecewise linear functions represents the total cost of the restaurant for serving n people.

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2 years ago

Helppppppppppppp pliss

Aliun [14]

The straight line equals 180
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x=23

I hope this helped!

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3 years ago

At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate

lara31 [8.8K]

Answer:

5.9%

Step-by-step explanation:

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2 years ago