Answer:
2
Step-by-step explanation:
1. C(x, y) = (7.3, –3.9)
2. C(x, y) = (17, –1.5)
Solution:
Question 1:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction 
.
Point divides segment in the ratio formula:
Here, 
and m = 3, n = 8
C(x, y) = (7.3, –3.9)
Question 2:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction .
Point divides segment in the ratio formula:
Here, and m = 7, n = 1
C(x, y) = (17, –1.5)
Answer:
1500÷30=50
40× 50=2000
2000-1500=500.
therefore the answer is500
Let us examine the speed of growth of the function. We have that the difference between successive terms is: 2, 4, 8, 16. These are powers of 2 and thus there is clearly an exponential increase in the parent function. In fact, the function can be modeled by f(x)=C+2^x where C is a constant.
We have that the new function is g(x). Translating upwards by 5 means that the new y-values are 5 units higher. Hence, we have that the pairs (x,f(x)) correspond to the pairs (x,f(x)+5) and thus the answer is that the f(x)/y-values will be increased by 5.
According to the above, we need to check the given values and see whether in some cases we have g(x)=f(x)+5; in layman's terms, we need to check whether for some x, the new y-value is bigger by 5 from the old one. This is the case only for (2,16) since the old point was (2,11).
Evaluate -(5)^2. Note that Order of Operations rules (PEMDAS) require that we perform exponentiation before multiplication.
Therefore, we evaluate 5^2 first, obtaining 25, and after that multiply this result by -1.
-(5)^2 = -25
