Answer:
Option A i.e. y = - 3 is not in range of the piece wise function graphed.
Step-by-step explanation:
The range of a function y = f(x) is given by the possible values of y for the possible domain (x-values) of the function.
Now, it is clear from the graph of the function that the value of y never goes below y = - 2.
The graph is drawn in such a way that any value of y less than - 2 and greater than - ∞ is not in the range of the function.
Therefore, option A i.e. y = - 3 is not in range of the piecewise function graphed. (Answer)
To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b).
Thus, we have
9x² = 4
9x² - 4 = 0
(3x)² - (2)² = 0
(3x + 2)(3x - 2) = 0
We now have two linear equations:
3x + 2 = 0 | 3x - 2 = 0
3x = -2 | 3x = 2
x = -2/3 | x = 2/3
Thus, x = +2/3 and -2/3.<span>
</span>
Answer:
1/4
Step-by-step explanation:
11/44 =
11/(22 × 11) =
(11 ÷ 11) / ((22 × 11) ÷ 11) =
1/22 =
1/4
Answer:
18/8 = x/3
x = 6.75 inches (length)
Step-by-step explanation:
Hi, to answer this question we have to write 2 ratios using the information given:
A larger rectangle has a length of 18 inches and width of 8 inches.
Inches /width = 18/8
So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :
x/3
Solving for x:
18/8 = x/3
18/8 (3) =x
6.75 in= x
Feel free to ask for more if needed or if you did not understand something.
