Substitute 5 for g so...
5 times 11 =55
Answer:
Yes, 40/25 is equivalent to 32/20.
Answer:
The first number is <u>18</u> and the second number is <u>27</u>.
Step-by-step explanation:
Given:
A first number is nine less than a second.
The sum of the numbers is 45.
Now, to find the numbers.
Let the second number be 
And the first number be 
The sum of the both numbers is 45.
According to question:
⇒ 
⇒ 
<em>Adding both sides by 9 we get:</em>
⇒ 
<em>Dividing both sides by 2 we get:</em>
⇒ 
<u><em>The second number = 27</em></u>.
Now, to get the first number we put the value of 
:
Therefore, the first number is 18 and the second number is 27.
9514 1404 393
Answer:
a) x = -1, x = 4
b) y = x^2 -3x -4
Step-by-step explanation:
a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.
The solutions are x=-1 and x=4.
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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.
y = a(x +1)(x -4)
For x=0, this is ...
y = a(1)(-4) = -4a
The y-intercept is y = -4, so we have a=1.
The factored equation is ...
y = (x +1)(x -4)
Multiplying this out gives the equation in standard form:
y = x^2 -3x -4
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<em>Additional comment</em>
Your teacher may want the standard form equation to be ...
x^2 -3x -4 = 0
This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.
