Answer:
49 red marbles
Step-by-step explanation:
There is a bag with only red marbles and blue marbles.
We are told in the question that:
The probability of randomly choosing a blue marble is 2/9 . There are 63 marbles in total in the bag
Hence: since
P(Blue marbles) = 2/9
Hence,
The number of blue marbles = 63 ÷ 9
= 7
Hence:
2 × 7/9 × 7 = 14/63
Hence, the number of blue marbles = 14 blue marbles
The number of red marbles bus calculated as:
63 - 14 blue marbles
= 49 red marbles
<h3>Answer:</h3>
... x = 2y^7 -13y^8 -3
<h3>Explanation:</h3>
An inverse relation is one with the independent and dependent variables interchanged.
Having made that interchange (swapping positions of x and y in the equation), you basically cannot solve for y. (There is no formula for the solution of an 8th-degree polynomial.) In any event, this inverse relation is <em>not a function</em>, as there are multiple values of y that correspond to the same value of x.
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<em>Comment on inverse functions</em>
A function and its inverse are mirror images of each other across the line y=x. This can be seen in the attached graph.
<u>Answer:</u>
Slope = 6
<u>Step-by-step explanation:</u>
Taking two points on line l to find its slope: (0, 3) and (6, 2).
Slope of line l =
We know that the slope of a line which is perpendicular to another line has a slope which is a negative reciprocal of the other line.
Therefore, the slope of the line which is perpendicular to line l will have a slope of 6.
The measures of vertical angles are identical.
∠A = ∠B
x+16 = 3x-14 . . . . substitute the given measures
30 = 2x . . . . . . . . add 14-x
15 = x . . . . . . . . . .divide by 2
∠A = ∠B = 15+16 = 31
The measure of ∠A is 31°.
Substitute the values of a and b to the expression: