Answer:
22
Step-by-step explanation:
Given that:
Let number multiplied by 54 = x
Let output = y
x * 54 = y + 198
x * 45 = y
54x = y + 198 - - - (1)
45x = y - - - (2)
Put y = 45x in (1)
54x = 45x + 198
54x - 45x = 198
9x = 198
x = 22
Number multiplied by 54 is 22
1) Domain: x is greater than -2 and greater than or equal to 5
Range: y is greater than -1 and less than or equal to 3
2) No the function is not one to one because one to one functions can’t have multiple points on a function with the same y value.
<span>The discriminant of a quadratic equation is the b^2-4ac portion that the square root is taken of. If the discriminant is negative, then the function has 2 imaginary roots, if the discriminant is equal to 0, then the function has only 1 real root, and finally, if the discriminant is greater than 0, the function has 2 real roots. So let's look at the equations and see which have a positive discriminant.
f(x) = x^2 + 6x + 8
6^2 - 4*1*8
36 - 32 = 4
Positive, so f(x) has 2 real roots.
g(x) = x^2 + 4x + 8
4^2 - 4*1*8
16 - 32 = -16
Negative, so g(x) does not have any real roots
h(x) = x^2 – 12x + 32
-12^2 - 4*1*32
144 - 128 = 16
Positive, so h(x) has 2 real roots.
k(x) = x^2 + 4x – 1
4^2 - 4*1*(-1)
16 - (-4) = 20
Positive, so k(x) has 2 real roots.
p(x) = 5x^2 + 5x + 4
5^2 - 4*5*4
25 - 80 = -55
Negative, so p(x) does not have any real roots
t(x) = x^2 – 2x – 15
-2^2 - 4*1*(-15)
4 - (-60) = 64
Positive, so t(x) has 2 real roots.</span>
Answer:
D (QUESTION AT THE BOTTOM)
Explanation:
C decreases on the Y axis by 3
C increases in the X axis by 6
Doing this on every plot line will move the line ABC to line A’B’C.
Remember:
Y = rise
X = run
