Answer:
5
Step-by-step explanation:
Let x be the number of cell phones with keyboards needed.
40% =
=
x+45 = 40 -----1
x+120 = 100 -----2
You would want to make the total of 1 the same as 2.
1×
: 2.5+112.5 = 100 -----3
Now 2 and 3 are equal.
x+120 = 2.5x+112.5
Isolate the x and numbers.
120-112.5 = 2.5x-x
Simplify.
1.5x = 7.5
x =
× 7.5
x = 5
The manager of the store needs to add 5 more cell phones with keyboards.
Answer:
C
Step-by-step explanation:
f(x) = 2ˣ + 1
-f(x) = -(2ˣ) − 1
First, let's find the y-intercept.
-f(0) = -(2⁰) − 1 = -2
Only C can be correct.
Answer:
y = 0
Step-by-step explanation:
The given sinusoidal equation is 
The general form of the sin function is presented as follows;
y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
The frequency, f = B/2·π
C = The horizontal shift
D = The vertical shift
By comparison with the given sine function, we have;
The amplitude, A = 2
The frequency, f = B/2·π = π/2/(2·π) = 1/4
The frequency, f = 1/4 Hz
C = The horizontal shift = 3/(π/2) = 6/π
The vertical shift, D = 0
Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function,
, is therefore, the line;
y = 0.
Answer: 56 times.
Step-by-step explanation:
394/7 = 56.3
56 * 7 = 392
392 + 7 = 399
399 is more than 394, therefore the answer is 56.