Answer:
≤ − 8
Step-by-step explanation:
-1 ≤
-3
4 ×(-1) ≤ 4 ×
-4×3
-4 × (-1) ≤ -x - 4×3
-4 ≤ -x - 12
x ≤ -12 + 4
x ≤ -8
<span>"For which value of k does the system have no real number solutions?"
The answer is 4, because 4+4</span>≠16.
<span>
"For which value of k does the system have one real number solution?"
</span>The answer is -0.25, because the linear line because tangent with the parent function.
<span>"For which value of k does the system have two real number solutions?"
</span>The answer is 2, because the linear function intercepts the parent function 2 times.
- i hope these are the answers you are looking for.
Answer:
4
Step-by-step explanation:
If you set the numbers in order from least to greatest, you will find that 4 is the middle value(median)
Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
Answer:
t < 9
Step-by-step explanation:
12 > t + 3
We can subtract 3 from both sides getting us 9 > t.