The equation of the line is y = 
x + 9
Step-by-step explanation:
The equation of a line in slope-intercept form is y = m x + b, where
- m is the slope of the line
- b is the y-intercept ⇒ the value of y when x = 0
∵ The line has a slope
∴ m =
∵ The y-intercept is 9
∴ b = 9
- Substitute the values of m and b in the form of the equation below
∵ y = m x + b
∴ y = x + 9
The equation of the line is y = x + 9
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Answer: 3
Step-by-step explanation: This equation can be written as 4x+3x-4=17
We can now solve.
Moving the 4 to the other side (adding) and we get 21.
Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.
X = 3.
Hi there! the best way of solving this is picturing out what the graph might look like. Let's assume you had the graph of a parabola y=x^2. You know that for every x you substitute, there'd always be a value for y. Thus, the domain is ALL REAL NUMBERS or from -INFINITY to + INFINITY. The range on the other hand is different. We know that any number raised to the second power will always yield a positive integer or 0. Thus, y=x^2 won't have any negative y-values as the graph opens upward. Therefore, the range is: ALL REAL NUMBERS GREATER THAN OR EQUAL TO 0. or simply: 0 to +INFINITY.
<span>On the other hand, a cubic function y=x^3 is quite different from the parabola. For any x that we plug in to the function, we'd always get a value for y, thus there are no restrictions. And the domain is ALL REAL NUMBERS or from -INFINITY to + INFINITY. For the y-values, the case would be quite similar but different to that of the y=x^2. Since a negative number raised to the third power gives us negative values, then the graph would cover positive and negative values for y. Thus, the range is ALL REAL NUMBERS or from -INFINITY to + INFINITY. Good luck!!!:D</span>
Answer:
Answers below
Step-by-step explanation:
7. Area of shape - area of small shape
A(s) = 5*5 = 25 - A(ss) = 3 = 25-3 = 22
8. Area of shape - area of small shape
A(s) = 4*2 = 8 - A(ss) = 1 = 8-1 = 7
