Answer:
Her weight is increase by 18 lbs over past five years and the slope is 3.6 lbs per year.
Step-by-step explanation:
Given information: Estelle weight is
At age 16 = 110 lbs
At age 21 = 128 ibs
Increase in her weight over the past 5 years is the difference of weight at age 21 and at age 16.
Increase in her weight over the past 5 years = 128 - 110 = 18
Her weight is increase by 18 lbs over past five years.
Let x=age and y=weight, then the weight function passes through the points (16,110) and (21,128).
If a line passes through two points 
and 
, then the slope of the line is
Using the above formula we get
Therefore the slope is 3.6 lbs per year.
Answer:
240
Step-by-step explanation:
The top triangle has an area of 40 while the bottom rectangle has an area of 200. Add them together and you get 240
Answer:
the percent of increase is 24%
Step-by-step explanation:
The percent of increase in general could be calculate as:
where Vf is final value and Vi is initial value.
From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:
That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.
Answer:
A
Step-by-step explanation:
the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).
10² = a² + 5²
100 = a² + 25
75 = a²
a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
