Hi there!
quarter:18
<u><em>1.Find common denominator in 4 and 1/2:</em></u>
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<u><em>2.Convert 4 2/4 into mixed number:</em></u>
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<u><em>3.Divide 18/4 by 1/4:</em></u>
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Therefore, there is 18 quarters in 4 1/2.
Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
Graph and equation both shows the proportional comparison between two quantities
for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'
More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'
Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.
Answer:
91 possible outcomes
Step-by-step explanation:
As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:
number of possibilities of choosing a brunette: 13
number of possibilities of choosing a blonde: 7
Then, the number of possible outcomes is the product of these number of possibilities:
13 * 7 = 91 possible outcomes
