Answer:
- Emma made a mistake. The slope should be -40.
Step-by-step explanation:
<u>Pair of points (x, y):</u>
- (165, 900) and (180, 300)
<u>Slope formula:</u>
<u>Calculate the slope:</u>
- Slope = (300 - 900)/(180 - 165) = -600/15 = -40
Step-by-step explanation:
Whenever we put a negative number inside a modulus function it will give us the positive output. For example , |-3| = 3 , |-6|=6, |5|= 5 ,etc.
So a modulus function i.e. |x| is always greater than zero ( positive ) when x is any number except 0 and it is equal to zero when the value of x is 0.
So |x| can't be less than -4 as |x| is always positive . So the statement is false.
Answer: The answer is 
Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.
Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.
That is, 190 grams = 200 millilitres, so

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

Answer: this is not a question
Step-by-step explanation:
Answer:
The graph attached has a solution. As you can see, the parabolic function DOES intercept the line at (0, 3). Therefore, the solution to that sytem of equation is the point (0, 3).
A system of equations has no solutions when their graphs do NOT meet at any point.