Answer: 1/9 because 1/9 is equivalent to .1 repeating, and since it repeats, it would continue with the 1 for infinite decimal places, thus making 11.11111% because you move the decimal over 2 places to make the fraction turn into a decimal.
She will have
M = Mo * number of days = R * D
A week has 7 days (unless you are in mars)
M = 2.5 * 4 * 7 = 70
you can get the vertex of an absolute value expression by y = | x - h | + k, where the vertex is at (h, k).
now, as a matter of transformations, the negative in front of the absolute value expresssion, means the graph of it upside-down.
the graph of | x - h | + k, is like the letter V, comes down, it makes an apex and goes right back up, the apex is of course at the vertex (h,k).
so -|x - 4| + 5, has a vertex at (4,5), and is upside-down, like Ʌ, which means, it comes from the botttom, goes up up up, hits (4,5) and then goes right back down.
so its range is from y = 5, and back down, namely to -∞, so (-∞ , 5].
Answer:
x = - 4 , x = - 3
Step-by-step explanation:
- 7x = x^2 + 12
Take all terms to one side of equation.
x^2 + 7x + 12 = 0
Find which 2 numbers multiply to give 12 and add to give 7.
a × b = 12
a + b = 7
a = 4
b = 3
Split the middle term using these 2 numbers.
x^2 + 4x + 3x + 12 = 0
Factorise each pair of terms separately.
x ( x + 4 ) + 3 ( x + 4 ) = 0
Bring out common factor of ( x + 4 ) and factorise.
( x + 4 ) ( x + 3 ) = 0
Using the Null factor law, make the expressions in each pair of parentheses equal 0.
x + 4 = 0
x = - 4
AND
x + 3 = 0
x = - 3
THEREFORE:
x = - 4 , x = - 3