Mrs.Maxwell is buying pencils for her students. She has 3 classes of 28 students each. For Valentine’s Day, she wants to give ea
2 answers:
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Answer:
See Below.
Step-by-step explanation:
We are given the function:
And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.
Because the function is a polynomial, it is everywhere continuous.
Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:
And:
Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.
Answer:
(i) a = 2
b = -1
c = -1
(ii) x= 1
Step-by-step explanation:
<u>Step 1: Factorise</u>
<u>Step 2: Use the complete square method. </u>
<u>Step 3: Have it</u><u> </u><u>to </u>
<u>Line of symmetry: </u>
To find line of symmetry, we use -b/2a formula.
Based from :
a=2, b=-4
-b/2a = -(-4)/2(2) = 1
Answer:
Step-by-step explanation:
To graph the equation of line, we need to find the intercepts:
1) To find x-intercept: put y = 0
0 = -10x + 3000
Solving for x:
10x = 3000
x = 3000/10 = 300
A( 300, 0)
2) To find y intercept: put x = 0
y = -10(0) + 3000
y = 3000
B(0,3000)
Now plotting line through these two points gives the graph.
3) To find the slope of the equation:
Using two point form:
m = -10
Please see the attached file for graph:
