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Firdavs [7]
3 years ago
15

A certain number exceeds 18 by as much as 44 exceed the number. What is the number?

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

x=31  is the required number.

Step-by-step explanation:

Let the number be represented as "x".

Then, According to the statement given, "x" exceeds by as much as 44 exceed the number, then the equation can be written as:

⇒x-18=44-x

⇒x+x=44+18

⇒2x=62

⇒x=31

Hence, the required number is x =31.

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What is the value of x + 3y + z if x = 4, y = 5, and z=2?​
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Read 2 more answers
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
What is 2 times 5 to the 3rd power divided by (9-4) raised to the power of 4
Maslowich
Heyo Kiddo. How are you doing today? 

Let's figure this out. 

So in number form, the equation will be looking a little like this: 

2(5) ^{3} / (9-4)^4

To solve. 

2(5) ^{3} / (9-4)^4 \ \textless \ Parenthesis first\ \textgreater \ &#10;&#10;2(5)^{3} / 5^4 \ \textless \ Exponents\ \textgreater \ &#10;&#10;2(125) / 625 (Multiply)&#10;&#10;250 / 625  (Divide)&#10;&#10;0.4  (Answer)

So I hope this answers your question and that you have a great day. :)
8 0
3 years ago
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