Interpret the equation y=−4x+10. What type of function does this equation define? Describe its graph.(1 point)
Responses
This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10.
This is a linear function. Its graph is a straight line with a y -intercept of negative 4 and a slope of 10.
This is a nonlinear function. Its graph is a curve.
This is a nonlinear function. Its graph is a curve.
This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
This is a linear function. Its graph is a straight line with a slope of negative 4 and a y -intercept of 10.
This is a nonlinear function. Its graph has a maximum at (0,10).
7 answers
This is a linear function. Its graph is a straight line with a y-intercept of 10 and a slope of -4.
7p - 11p + 3 ≥ 3 - 4p
First, combine like terms on both sides of the inequality:
-4p + 3 ≥ 3 - 4p
Next, subtract 3 from both sides:
-4p ≥ 0
Finally, divide by -4 on both sides to solve for p:
p ≤ 0
Therefore, the solution to the inequality is p is less than or equal to 0.
-4p + 3 ≥ 3 - 4p
Next, subtract 3 from both sides:
-4p ≥ 0
Finally, divide by -4 on both sides to solve for p:
p ≤ 0
Therefore, the solution to the inequality is p is less than or equal to 0.
So is it true infinite solution
Yes, that is correct. The inequality has infinitely many solutions because any number less than or equal to 0 will satisfy the inequality. Therefore, the solution set is all real numbers less than or equal to 0, which is an infinite set.
6(x - 8) > 6x - 48
Let's solve the inequality step by step:
First, distribute 6 on the left side:
6x - 48 > 6x - 48
Next, subtract 6x from both sides to eliminate the variable:
-48 > -48
Since -48 is not greater than -48, this inequality is not true.
Therefore, the solution to this inequality is no solution.
First, distribute 6 on the left side:
6x - 48 > 6x - 48
Next, subtract 6x from both sides to eliminate the variable:
-48 > -48
Since -48 is not greater than -48, this inequality is not true.
Therefore, the solution to this inequality is no solution.