Answer:
12
Step-by-step explanation:
Then the -12 and +12 will cancel out, so you're left with a clean isolated r on the left:
r -12 +12 = 19 + 12
r = 31
Hello there!
This question super easy to me.
<em>290%= 2.9 that came from in decimal form.</em>
First you had to write 290 as a decimal you can have to divide numerator by the denominator of the fraction. It should 290 as a decimal it equal to 290. 2.9 is the correct answer. Hope this helps! Thank you for posting your question at here on Brainly. -Charlie
Answer:
40 ounces of coffee
Step-by-step explanation:
we know that
To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
so
To make 6 ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
using proportion
Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha
Let
x ---> ounces of coffee needed to make 48 ounces of caffe mocha
Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
He first two are relatively easy. f(x-2) shifts it sideways (2 to the right in this case) f(x) -2 shifts it straight down (by 2)
f(2x) means replace x with 2x in the original 4(2x + 1)^2 − 3 if you factor out the 2 from the square root you get 4*sqr(2) ( x + ½)^2 - 3 which is now in the form a ( x -h)^2 + k the vertex is now at (-½, -3) (it used to be at (-1,-3) the "a" has gotten bigger, which makes the parabola "skinnier" (it goes up faster)
2•f(x) becomes 2*( 4(x + 1)2 − 3 ) = 8 (x+1)^2 -6 where is the vertex now? is this parabola fatter or skinnier than the original f(x) ?
