Answer:
1. 4 or -4
2. 2 or -2
3. 5 or -1
4. 2
5. -2
6. 1 or 2
Step-by-step explanation:
Absolute values make the answer a positive value. So in the first one to make |x|=4, x can be either 4 or -4 because the lines around x tell you to remove the negative sign. Does this make sense? So for the answers, find the values for x that make the answer the value wanted, and then find the negative of the value wanted. For example, in |5x|=10, 5(2)=10 and 5(-2)=-10. But with absolute value signs, it changes it from -10 to 10. Hope this helps, if you have any questions please let me know.
Answer:
B. (-4,0) and (-3,0)
Step-by-step explanation:
I used a graphing tool to graph the equation. The parabola intercepts at (-4,0) and (-3,0). Therefore, (-4,0) and (-3,0) are the x-intercepts of the equation.
Option B should be the correct answer.
Answer:
y ≤ -4x+25
Step-by-step explanation:
First we need to figure out the equation for the line
The y intercept is 25
Next figure out the slope
slope = (y2-y1)/((x2-x1)
= (49-25)/(-6-0)
= 24/-6
= -4
The equation for a line in slope intercept form is y = mx+b
y = -4x+25
This is a solid line so our inequality will have an equals in it.
It is shaded below, so y is less than.
If it was shaded above, y would be greater than
y ≤ -4x+25
Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle
Step-by-step explanation:
Answer: b.
Step-by-step explanation:
Based on the information given, you can write the following expression:

Where k is the the constant of variation
If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:

Substitute k into the expression. Then the equation is:

Substitute x=5 into the equation. Then, y is:
