X + 1/4x = 15
4/4x + 1/4x = 15
5/4x = 15
5x = 60
x = 12
Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.
Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).
Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.
By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>
<h3>
Answer: 13/36</h3>
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Explanation:
Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.
Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8
- outcome = 1+1 = 2
- outcome = 1+2 = 3
- outcome = 2+1 = 3
- outcome = 3+6 = 9
- outcome = 4+5 = 9
- outcome = 5+4 = 9
- outcome = 6+3 = 9
- outcome = 4+6 = 10
- outcome = 5+5 = 10
- outcome = 6+4 = 10
- outcome = 5+6 = 11
- outcome = 6+5 = 11
- outcome = 6+6 = 12
These 13 results are shown in green boxes in the diagram.
Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36
13/36 = 0.3611 = 36.11% approximately
Answer:
21
Step-by-step explanation:
I used a triangle area calculator.
Hope I helped!