The reason why people sometimes assume that the calculation 9 + 10 = 21 is as explained below.
<h3>How to calculate in number bases?</h3>
We want to find out the reason why people say that; 9 + 10 = 21
Now, the way you have explained it is one way to look at it by utilizing number bases to play around with the figures to arrive at 21.
However, another way is to use algebra trick pattern which is;
9 can be expressed as 3 * 3
Also, 10 can be expressed as 5 * 2. Thus, we now have;
(3 * 3) + (5 * 2)
The applying properties of algebra to cross multiply gives;
(3 * 2) + (5 * 3)
= 6 + 15
= 21
Now, though your explanation arrived at 21 and mine also 21, but those are not correct mathematical methods as 9 + 10 must be equal to 19 and not 21.
Read more about Number bases at; brainly.com/question/8649831
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Answer:
Step-by-step explanation:
The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph
Therefore, the piecewise function shown in the quadratic graph is given as follows;
f(x) = x² + 3; x < 1
The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of <em>x</em> to the boundaries of the graph
Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2
The equation of the function is y - 3 = -2·(x - 1)
∴ y = f(x) -2·x + 2 + 3 = -2·x + 5
f(x) = -2·x + 5; x ≥ 1
Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
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Answer:
-105197.8
Step-by-step explanation:
4.42 × 10-104.2 × 1010 = -105197.8
Hope this helps!
Answer:
-3 ≤y≤6
Step-by-step explanation:
The range is the output values or the y values
The y values go from -3 to 6 including these values
-3 ≤y≤6
