The slopes of the original function y = |x| are m = 1 and m = -1 (m is the variable used to represent slope).
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
Answer:
d. 14:11
Step-by-step explanation:
There is a 7 in 10 chance that Mike does his homework today and a 8 in 10 chance he will do it tomorrow, the probability that he will do it both today and tomorrow is:
The odds are the probability that an event occurs over the probability that it does not occur:
The odds that he will do it both today and tomorrow are 14:11.
Answer:
the 1st one and the last one are the answers
Step-by-step explanation:
The product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
<h3>How to Find the
Product of Negative Numbers?</h3>
The rule when multiplying two negative numbers is that, the negative signs will cancel each other. That is, minus multiplied by minus will give as plus.
For example, -a × -b = ab
Also, "plus" multiplied by "minus" will also give as "minus. For example:
-a × b = -ab.
Using the above rule, let's find the product of the following:
−3 × 5 × (−6) × 4 = -15 × (-24)
−3 × 5 × (−6) × 4 = 360 [minus × minus = plus]
−7 × (−3) × (−9) × 0 = 0 [anything multiplied by 0 must result to 0]
−4 × (−6) × (−3) × (−5)
= 24 × 15
−4 × (−6) × (−3) × (−5) = 360
−3 × 4 × (−2) × (−7)
= -12 × 14
−3 × 4 × (−2) × (−7) = -168
Therefore, the product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.
Learn more about product on:
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Answer:
C) 4/3 = DE/9
Step-by-step explanation:
I don't have much time to explain, so just trust me on this. :)
