-2/3x is the slope. the full problem is y=-2/3x + 3
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Answer:
x -3y -7 = 0
Step-by-step explanation:
The general form of the equation for a line is ...
ax +by +c = 0
where a, b, c are mutually prime and the leading coefficient is greater than zero.
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The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...
rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope
For the given point and slope, we have ...
1(x -1) -3(y -(-2)) = 0
x -3y -7 = 0
Question 4 of 5 Page 4 Question 4 (1 point) f(x) - 0.5x + 3 The function is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, X. The mathematical domain for the function is the set of real numbers. Which statement describes the limitation for the reasonable domain compared to the mathematical domain? O O O a b C d The reasonable domain contains only real numbers greater than 3. The reasonable domain contains only positive whole numbers The reasonable domain contains only rational numbers greater than 3. the reasonable domain contains only negative whole numbers Next Page Back were to search
No.
4 meters is 400 centimeters, so is smaller than 450 centimeters.
Answer:
• No
• Yes
• Yes
• No
Step-by-step explanation:
To determine if the 4 given values of y are solutions to the inequality, start by solving the inequality. Solving an inequality is just like that of an equation, except that the direction of the sign changes when the inequality is divided by a negative number.
-2y +7≤ -5
Subtract 7 on both sides:
-2y≤ -5 -7
-2y≤ -12
Divide by -2 on both sides:
y≥ 6
This means that the solution can be 6 or greater than 6.
-10 and 3 are smaller than 6 and are not a solutions, while 7 and 6 satisfies the inequality and are therefore solutions.
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Alternatively, we can also substitute each value of y into the inequality and check if the value is less than or equal to -5.
Here's an example to check if -10 is a solution.
-2y +7≤ -5
When y= -10,
-2y +7
= -2(-10) +7
= 20 +7
= 27
Since 27 is greater than 5, it is <u>not</u> a solution to the inequality.
