Answer:
Part A -> Function
Part B -> Function
Step-by-step explanation:
<u>Concept</u>
A relationship is a function only if there's a single y value corresponding to an x value. It can have the same y value for different x values but it <em>must not have multiply y values for a single x value</em>.
Below is an example
<u>Function</u> <u>Not a Function</u>
<u>x</u> <u>y</u> <u>x</u> <u>y</u>
1 5 1 5
2 6 2 7
3 5 1 6
<u>Part A</u>
Looking at the given graph, we see that the relationship has a single y value corresponding to an x value and so it is a function.
<u>Part B</u>
If there was the same number of bacteria for two consecutive hours it would mean the same y value for different x values. So, it would still remain a function.
Y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2
Answer:
x = 32°
Step-by-step explanation:
∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.
m<KML = m<KLM = 58°
m<MKL = 180 - (58 + 58) (Sum of triangle)
m<MKL = 64°
m<JKM = 180 - m<MKL (linear pair theorem)
m<JKM = 180 - 64 (Substitution)
m<JKM = 116°
∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.
Thus:
x = ½(180 - m<JKM)
x = ½(180 - 116) (Substitution)
x = 32°
Say x is the number of weeks until their money is equal. Then, we can set up an equation.
400 + 25x = 250 + 75x
Subtract 250 from both sides
150 + 25x = 75x
Subtract 25x from both sides
150 = 50x
Divide by 50 on both sides
3 = x
That means the answer is 3 weeks.