Answer:
Second option: (-2,-3) and (1,0)
Step-by-step explanation:
Given the system of equations , you can rewrite them in this form:
Simplify:
Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:
Substitute each value of "x" into any of the original equation to find the values of "y":
Then, the solutions are:
(-2,-3) and (1,0)
Answer:
a. The graph has a constant of variation of 3, so it represents a direct variation.
Step-by-step explanation:
We have been given a graph and we are asked to find whether our given graph represents direct variation or not.
Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.
Direct variation equation is in form: , where k= constant of variation.
Slope intercept equation of line is in form: , where m= slope and b= y-intercept.
Let us find equation of our given line in slope-intercept form.
We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.
Let us find slope of our given line.
Upon substituting m=3 and b=0 in slope intercept form of equation we will get: . Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.
Answer:
David had x amount of M&M's. He then ate 15 of them for snack. Now David only has 35 M&M's left. How many M&M's did David have in the beginning?
Step-by-step explanation:
Answer: OPTION B.
Step-by-step explanation:
Below are some transformations for a function f(x):
1. If and , the function is compressed horizontally by a factor of .
2. If and , the function is stretched horizontally by a factor of .
3. If and , the function is compressed vertically by a factor of "b".
4. If and , the function is stretched vertically by a factor of "b".
In this case you have the function f(x):
And the function g(x):
So, you can identify that:
and
Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).
Answer:
C) (-3, -1)
Step-by-step explanation:
y = 5/3x + 4
When x = 0, y = 4
When y = 0, x = -2.4
graph the points: (0, 4) and (-2.4, 0)
y = -2/3x - 3
When x = 0, y = -3
When y = 0, x = -4.5
graph the points: (0, -3) and (-4.5, 0)
The lines will cross at point: (-3, -1)