A college student took 4 courses last semester. His final grades, along with the credits each class is worth, are as follow: A (
1 answer:
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Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or
Answer:
Girls = 16
Total students = 40
Step-by-step explanation:
40% of the students are girls, this means 60% of the students are boys.
To find the number of girls, setup a proportion using the percentages and actual number of students in the class. I am going to make the numerator the numbers that go with the girls and the denominator will be the numbers that go with the boys.
Also let's convert the percentages to decimals by moving the decimal two places left.
40% = 0.4 and 60% = 0.6
Now let's find the total number of students by adding the number of girls to the number of boys.
16 + 24 = 40