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professor190 [17]
3 years ago
15

How much higher is 500 than 400

Mathematics
2 answers:
jasenka [17]3 years ago
8 0

500 is (500 - 400) or 100 higher than 400

DerKrebs [107]3 years ago
7 0

99.9 is the answer       is that ok

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Which is the graph of the sequence defined by the function f(x + 1) = 2/3 f(x) if the initial value of the sequence is 108?
san4es73 [151]

Answer:

The fourth graph.

Step-by-step explanation:

We have f(x + 1)  so the x values will be increased by 1.

first value = 108 (when x  = 1)

next value = 108 * 2/3 = 72 (when x = 2)

next = 72 * 2/ 3= 48 (when x = 3)

next = 48 * 2/3 = 32 (when x = 4)

5 0
3 years ago
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Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
Emilio owns a bakery. The number of boxes of cookies he has left on a Monday is represented by the function x + y = 42, where y
Katarina [22]

Answer:

y=42-x

x=42-y

Step-by-step explanation:

x=42-y

Subtract y from both sides of the equation

y=42-x

Subtract x from both sides of the equation

3 0
3 years ago
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15<br> step by step please!
mash [69]

Answer:

f(2) = - 1 and f(4) = 3

Step-by-step explanation:

To evaluate f(2), substitute x = 2 into f(x), that is

f(2) = 2(2) - 5 = 4 - 5 = - 1

To evaluate f(4), substitute x = 4 into f(x)

f(4) = - 3(4) + 15 = - 12 + 15 = 3

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What did Zorna say about marrying a shorter man?
Aloiza [94]
"Better to have loved a short man than never to have loved a tall".
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