F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)
First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas
.
1. (-1,-3)
2. (2,6)
→
→
The slope is 3 (
). Thusly, y = 3x + b
To find out the y-intercept, we can reverse the slope. [Note: This
is in
where rise is 'y' and run is 'x'. Reversed would be
]. Take the second ordered pair and use our reversed slope on it until we get 0 for x.
(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)
Y-intercept is 0. Therefore,
y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
Answer:
See the graph of the given inequality in the attachment as shown below:
Step-by-step explanation:
Given the inequality:
To graph this inequality on the number line.
Remember:
- If the symbol is then you fill in the dot
- If the symbol is then you do not fill in the dot.
Since, in the given inequality the symbol is '>'
Now, sketch a number line and draw an open circle around the number 2.8.
You can see the number line as shown below in the attachment.
Let's simplify step-by-step.
−3x2−5x2(4x3−x2)(2)
Distribute:
=−3x2+−40x5+10x4
Answer:
=−40x5+10x4−3x2
Answer:
b = a + 3.75
Step-by-step explanation:
a = 4b - 15
You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides
a (+15) = 4b - 15 (+15)
a + 15 = 4b
Next, divide 4 from both sides. Remember to divide from all terms.
(4a + 15)/4 = (4b)/4
b = (4a)/4 + (15)/4
b = a + 15/4
b = a + 3.75 is your answer
~
Answer:
4.5
Step-by-step explanation:
8 + 7 + 6 + 5 + 4 + 3 + 2 + 1/8
36/8
=4.5