So what you would do is A times X + 4 x y = 43 so you have to find out what A, X, and y are to find the answer, so you can do 5 x 7 + 4 x 2 = 43
Answer:
Damien will receive a change of
Step-by-step explanation:
Given:
Pair of jeans = $33
Sales tax = 7%
Money paid as Sales tax = 7% of sale done on pair of jeans =
Total amount paid = 40
We need to find the amount he will receive back
Amount receive back can be calculated by Total amount paid minus Amount for pair of jeans minus money paid as Sales Tax
Change amount received = Total amount paid - Amount for pair of jeans - money paid as Sales Tax =
Hence Damien will receive a change of
1) Since x = -4 and x = -6 are zeros, then, by definition, (x + 4) and (x + 6) are factors of the polynomial. Another way in understanding this is that when x = -4, there would be no remainders.
Thus, we can simply write it as: P(x) = (x + 4)(x + 6) = x² + 10x + 24 (ie C)
2) Using the discriminant, we can find whether a quadratic has two, one, or no roots at all. Symbolised as delta (Δ), the discriminant formula goes as follows:
Δ = b² - 4ac
Thus, if we move the 3 to the other side, we get:
Δ = (-5)² - 4(3)(-10) > 0
Since Δ > 0, then there lies two solutions.
To find rationality or irrationality, we need to check whether or not the square root of the discriminant is an integer or not. If the square root of the discriminant is not an integer, we have irrational roots.
Thus, we've worked out that the discriminant is 145. But 145 is not a perfect square, so when we take the square root of it, we get irrational roots.
Hence, we have two irrational roots.
3) Since we have a fraction, we know that the denominator cannot be zero. Thus, to find places where undefined x-values occur, we need to let the denominator equal to zero:
x² - 16 = 0
x² = 16
x = 4 and -4
These are the restricted values for x, since x cannot equal to 4, or -4.
Hence, your answer is x = 4, -4
4) We can expand and move everything to the LHS.
2(x + 2)² - 32 = 0
2(x² + 4x + 4) - 32 = 0
2x² + 8x + 8 - 32 = 0
2x² + 8x - 24 = 0
We can factorise 2 outside.
2(x² + 4x - 12) = 0
x² + 4x - 12 = 0
We can factorise this further.
(x + 6)(x - 2) = 0
x = -6, 2 are our solutions.
8.5? Give that a try!:)
What I did was I took a piece of paper, and listen those numbers from least to greatest, then I scratched off one number per side, till I got to the middle. From there, I added 8 and 9, the divided by 2. There, I got 8.5