9514 1404 393
Answer:
Step-by-step explanation:
The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.
The 3 ratio units representing boys will stand for 3×4 = 12 boys.
The 5 ratio units representing girls will stand for 5×4 = 20 girls.
There are 12 boys and 20 girls in Janice's classroom.
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<em>Additional comment</em>
I find the above solution to be the easiest.
You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.
b/g = 3/5
b +g = 32
Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:
b = (3/5)g
(3/5)g +g = 32
8/5g = 32 . . . . . . . . . . . . . . . . . collect terms
g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8
b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g
Answer:
As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5
Step-by-step explanation:
Given function:

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at
(where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.

This is because as
the -7 of the numerator and the +8 of the denominator become negligible. Therefore, we are left with:

Therefore:


Answer:
B
Step-by-step explanation:
<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.
Given the functions
A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.
B.
x g(x)
0 6
1 2
2 10
The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.
C. The function h of x equals 4 to the x power, plus 3
When x = 0,

Thus the y-intecept is 4.
D. j(x) = 10(2)^x
when x = 0,

Thus, the y-intercept is 10.
Thereforen the function with the highest y-intercept is

which has a y-intercept of 10.
</span>
Answer:
area of square =length × length ×height
=6×6×8
=288