Answer:
C. 7
Step-by-step explanation:
We have been given graphs of two exponential functions, f and g.
We can see that our parent function f(x) is translated k units to get function g(x).
The rules for translation are mentioned below.
Horizontal shifting:
= Graph shifted to right by a units.
= Graph shifted to left by a units.
Vertical shifting:
= Graph shifted upwards by a units.
= Graph shifted downwards by a units.
Upon comparing our given graph with transformation rules we can see that our function f(x) is translated k units upward to get function g(x).
Now let us find the value of k from our given graph.
We can see that initial value (y-intercept) of f(x) is -4 and initial value of g(x) is 3. Difference between y-intercepts of both functions is 7.
Our parent function f(x) is shifted 7 units upwards to get new function g(x), therefore the value of k is 7 and option C is the correct choice.
Answer:
27720
Step-by-step explanation:
Denote by the binomial coefficient "n choose k". Given k<n, is the number of ways of choosing k elements from a set of n elements (the order in which we choose the elements doesn't matter).
First, we can form the group of 3 students. This is done by choosing 3 students from the class of 12 students, so it can be done in ways. We can't repeat students, then we must form the other groups from the remaining 9 students. If we next form the group of 4 students, there are ways of choosing it. Now, there remain 5 students without a group, so they have to conform the group of 5 and this can only be done in 1 way. By the multiplication principle, the number of ways of forming the groups is
The way I would approach such a question is to put it into equations.
My first equation would be 16x+19y=478 which represents $16 on ski's per person and $19 on snowboards must add up to $478
My second would be x+y=28 because the number of skis and snowboards rented must add up to 28 so each person has one item.
Next you solve them simultaniously. Gonna use elimination
16x+19y=478 (1)
<span>x+y=28 (2) </span>
16x+16y=448 (3 = equation 2 * 16)
(1)-(3) => 3y=30 y = 10.
So now we know that 10 people rented snow boards. Just sub that into eq (2) and get x = 18. So 10 people got snow boards and 18 ski's.
To check, 10x19 = 190
16x18= 228
190+228=478 which works out perfectly!
528 will be your answer.
Step-by-step explanation:
408 / 17 = 24
1 case = $24.00
24 x 5 = 120
408 + 120 = 528
Answer:
y = 3/4x - 9/8
Then read explanation and see here with 2 coordinates would make
if 3/4 = -6 then 1 = -8
y = -6x + c
-6 / 3/4 + 9/8 / - 0.5 = -2.25
therefore c = -2.25
y = -6x - 2.25
y = -6x - 9/4 and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4
Step-by-step explanation:
C1) (0.5 , -0.75)
C2) ( 1. -3.75)
y = mx + c
-3.75 - - 0.75 / 1 - 0.5 = -3.75 + 0.75 / 0.5
= -3 / 0.5 = m
m = -6
y = -6x + c
then this works given just one coordinate to solve for 1 or 2 sets given points
y - y1 = mx+c
y - - 0.75 = 0.75 (x - x1)
y + 0.75 = 0.75 (x - 0.5)
y + 0.75 = 0.75x - 0.375
y = 0.75 - 0.75 = 0.75x( - 0.375 - 0.75)
y = 0.75x -1.125
y = 3/4x - 9/8 as common denominators of 1125/1000 is 9/8 as we divide by 125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.