Step-by-step explanation: Begin by studying the pattern.
Notice that the 1 + 1 is 2, 2 + 3 is 5, 5 + 5 is 10, and 10 + 7 is 17.
So thus far, we're adding 1, 3, 5, and 7. Notice that each of these numbers have a difference of 2 so we would add 9 to get to next number and so on.
Answer:
The slope is
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
Answer:
-16x^2 +9
Step-by-step explanation:
To start this problem I would rearrange so that the terms with the x's come first. Making it look like this
(4x+3)(-4x+3)
Now you take the 4x and distribute it to the -4x and the 3.
-16x^2+12x This is the first part
Take the 3 and distribute it to the -4x and the 3 as well.
-12x+9
All you do now is combine the twoso you'd have
-16x^2 +12x -12x +9 Notice there are two terms that have a regular x with no exponent. This means you can combine them to simplify further.
-12x+12x=0 So you no longer have to include this term in your answer.
-16x^2+9 Would then be your final answer.
The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
Learn more on equation of a line here: brainly.com/question/13763238
#SPJ1
You just replace x to -3/4;
f(-3/4) = 4 (-3/4) + 1
4 cancels another 4 in denominator
= -3 + 1
= -2
So you have f(-3/4) = -2