Answer: 2.25
Step-by-step explanation:
1 cm/ 2 in = x/ 4.5 in
2x = 4.5 in
4.5/2 = x
2.25 = x
Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)
Hello! So the formula for compound interest is P(1 + r)^t, where r = rate, P = principal, and t = time (years). C is out, because you multiply the rate and principal together to get the price, not add. You raise the decimal to a certain power, based on the amount of years. You add 1 to the rate. 5% in decimal form is 0.05 and you must add 1 to the amount, which eliminated B. The only answer that works is A, because it shows the correct formula. The answer is A.
<em>A ratio camparing two quantities with different kinds of units is a ratio that tells the rate of change of one variable with a change in other variable.</em>
You would form this inequality:
52 + 2x < (or equal to) 180
Then, solve as you would in an ordinary equation.
Subtract 52 from both sides of the sign. 180 - 52 = 128.
So, 2x is less than or equal to 128.
Divide 128 into two to get 64.
The height of the frame must be 64 inches.
