There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. Th
1 answer:
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Answer:
Step-by-step explanation:
To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.
To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:
So, the first thing we're going to do is divide the whole function by 6:
6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6
This step is optional, but it makes things quite easier.
Then we using the quadratic formula, where:
a=1, b= 2, c = -7/6.
Then:
So the zeros are:
The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.
Answer:
<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9
Step-by-step explanation:
Solving the first part of the question by indices,
Comparing the rightmost term with the second term in the question,
<em>a</em> = 4, <em>b</em> = 2
Solving on,
Comparing with the final term in the question,
<em>c</em> = 16 and <em>d</em> = 9
Therefore,
<em>a</em> = 4, <em>b</em> = 2, <em>c</em> = 16, <em>d</em> = 9
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per <em>n</em> seconds
- Need to solve for <em>n</em>
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
=
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13
4. Solve for <em>n</em> by isolating the variable and dividing.
=
<em>n</em> =
<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)