Answer:
y=2x
Step-by-step explanation:
For every day, mark jars 2 liters. using this information we can conclude that for every x we have two, 2x. the jam made is represented by y so the equation ends up as y=2x (for every jam made, use twice times the amount of days taken.
<h3>
Answer: B) 43, 133, 89</h3>
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Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is <u>not</u> larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
If any of those three are false, then we cannot make a triangle with side lengths p,q,r
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Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
- p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.
- p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.
- q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.
All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
Answer:
Step-by-step explanation:
Given
Required
Determine the equation for h pans and g cups
We have that:
To do this, we make use of the following equivalent ratios.
So, we have:
Express fraction as decimal
Express as fraction
Cross multiply
No options were given. So, I will stop here
The function is nonlinear because it does not have a constant rate of change
Hopes this helps:
Answers: Subtract
Just remove the parentheses
18-20
Simply: -2
