Answer:
y = | x+2 | -1
Step-by-step explanation:
The absolute value function is shifted left 2 units and down 1. That makes it ...
y = abs(x+2) -1
Using the usual symbols for absolute value:
y = |x+2| -1
_____
The translation transformation is ...
y = f(x -a) +b
to translate the graph of f(x) right by "a" units and up by "b" units. Here, we have a translation left 2 and down 1, so a=-2, b=-1. The original function is the absolute value function in this case.
18 x 20 = 360
360 / 20 = 18
So 18 is the answer
Answer: 3.852
Step-by-step explanation:give me brianlest
Answer:
George has 64 nickel and 32 dimes.
Step-by-step explanation:
Normally, we have:
One nickel = 5 cents
One dime = 10 cents
One dollar = 100 cents
Therefore, total number of cents that George has can be calculated as follows:
Total number of cents = $6.40 * 100 = 640 cents
Based on the above, we have:
640 cents = 640 / 5 = 128 nickel
640 cents = 640 / 10 = 64 dimes
Therefore, we have:
128 nickel = 64 dimes
Divide through by 2 in order to share 640 cents equally, we have:
128 nickel / 2 = 64 dimes / 2 => 64 nickel = 32 dimes
Since 64 minus 32 is equal to 32, it therefore implies that George has 64 nickel and 32 dimes.
Answer:
see explanation
Step-by-step explanation:
Check the value of the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then roots are real
• If b² - 4ac = 0 roots are real and equal
• If b² - 4ac < 0 then roots are not real
given (x - a)(x - b) = k² ( expand factors )
x² - bx - ax - k² = 0 ( in standard form )
x² + x(- a - b) - k² = 0
with a = 1, b = (- a - b), c = -k²
b² - 4ac = (- a - b)² + 4k²
For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0
Hence roots of the equation are always real for a, b, k ∈ R
