Answer:
All of the above
Step-by-step explanation:
10, 100, 1000, 100000 all are rational numbers because you can write them as:
10/1 , 100/1, 1000/1, 100000/1
Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer: 300
Step-by-step explanation:
Let the number be represented by x.
Therefore, based on the information given in the question, this can be expressed as:
36% of x = 108
36/100 × x = 108
0.36 × x = 108
0.36x = 108
x = 108/0.36
x = 300
Therefore, the number is 300
Answer:
B. a = 4, b = -8, c = -3
Step-by-step explanation:
The quadratic equation given is:
The general form of a quadratic equation is given as:
Let us put the given equation in this form and then compare with the general form of the quadratic equation.
Therefore, by comparing:
a = 4
b = -8
c = -3
The correct option is B
Answer:
x = ±4
Step-by-step explanation:
Step 1: Write out quadratic
2x² - 5 = 27
Step 2: Add 5 to both sides
2x² = 32
Step 3: Divide both sides by 2
x² = 16
Step 4: Take the square root of both sides
x = ±4
∴ x can equal -4 or 4
