Her total allowance as a fraction could be expressed by 9/9. When you subtract the amount that she used, 4/9, you are left with 5/9, which is the solution.

Answer:

Step-by-step explanation:


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Answer:

Step-by-step explanation:


Answer:
y = 3/2x + 1
Step-by-step explanation:
find the slope: goes up 9 over 6 => 9/6 = 3/2
the +1 is because the y intercept is not at (0, 0), it's at (0, 1)
I graphed it and got the same graph :)
Answer:
D = 0
Step-by-step explanation:
Given
x-intercept = -3
Required
What does the discriminant represent?
The discriminant of a quadratic function can take any 3 values; these are as follows;
- When D > 0
- When D < 0
- When D = 0
Which translates to
- signifies that two different real roots exist
- signifies that only complex roots exist
- signifies that the two identical real roots exist
The question says that x-intercept = -3 is the only value;
This means that: x = -3 or x = -3
Analyzing the roots
- 3 and -3 are identical
- -3 and -3 are real
This means they satisfy condition number 3;
Hence, D = 0
Formula for volume of a cone = pi x r^2 x h/3
540pi = pi x 9^2 x h/3
Divide both sides by pi:
540= 9^2 x h/3
Simplify:
540 = 81 x h/3
Divide both sides by 81:
6 2/3 = h/3
Multiply both sides by 3
H = 20
the height is 20 cm