Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1
Answer:
For question a the answer is option b at 50$
For question b the answer is 50 miles and option a is less
Step-by-step explanation:
The rational zero theorem looks at the number of sign changes in the equation's terms when x is evaluated with a positive or negative number. In your problem, if we insert a positive value for x:
1st term stays +, 2nd term stays -, 3rd term stays -, last term stays +.
Read from left to right and determine the number of sign changes:
+ - - + [there is a change from + to -, no change from - to -, and a change from - to +] Therefore 2 sign changes. There can be two positive rational zeros, or zero rational zeros [It's always the number of sign changes, and then every other number less than the number of sign changes, and zero]
Let's now do it for a negative x:
1st term becomes -, 2nd term stays -, 3rd term becomes +, last term stays +
- - + + [there is no sign change from - to -, one change from - to +, no change from + to +] Therefore one sign change. There can be one negative rational zero, or zero rational zeros.
This is a difficult concept to type out in a screen box. Please post me a comment if you need additional clarification!
Your answer is D Conditional and Contrapositive because its not C because its not inverse has something to do with operations Its not B because again it has Inverse and Inverse has something to do with operations and when it came down to A, and D I choose D because A has converse and that's usually simplifying equations. Your answer is D.