<em>Answer:</em>
<em>2 whole 1/4</em>
<em>Step-by-step explanation:</em>
<em>When forming a perfect square trinomial you need to "complete the square".
</em>
<em>All of the steps to completing the square when solving an equation:
</em>
<em>1. The leading coefficient must be 1. </em>
<em>2. Divide b by 2.
</em>
<em>3. Square (b/2)
</em>
<em>4. Add (b/2)^2 to both sides to keep the polynomial balanced.
</em>
<em>5. You can now write the perfect square trinomial and solve.
</em>
<em><u>
</u></em>
x^2 - 3x
-3/2
(-3/2)^2 = 9/4 = 2 1/4
Answer:
Table a match with Graph 3
Table b match with Graph 2
Table c match with Graph 4
Step-by-step explanation:
<u>Table a</u>
Time is plotted on x - axis and Temp on y axis
From table a we can see that the y values(temp) decrease with increasing time. The only graph that has a decreasing trend is Graph 3
<u>Table b</u>
Time plotted on x axis, cost on y axis
Looking at the values we see that they are almost linear except for 2 values at x = 2 and 2.5 and at y = 5 and 5.3.
Ignoring values 2.5 and 5.3 we see a linear fit with a slope of 20. This means either graph 1 or graph 2
However, the graph passes through (0,0) and this is not a set of values in the table. That leaves graph 2
<u>Table c</u>
Months plotted on x axis and length of fetus on the y axis
We can see that the y values (the length) increases slowly at lower values of x(x=1 and x=2) and then increase rapidly at the mid values(x = 2 thru 6) and then slows down between months 6 and 9. Only Graph 4 fits this pattern
so the company has an overhead of $600, usually that involves premises leasing and industrial equipment for the manufacturing of the product, that's cost. The cost to make each item is 50 cents, so if the company produces "x" items, their cost is 0.5x total.
so our cost equation C(x) = 0.5x + 600 <---- items' cost plus overhead.
the company sells the product for 85 cents, so if they sell "x" items, their total revenue or income will be 0.85x.
so our revenue equation is simply R(x) = 0.85x.
as you already know, the break-even point is when.... well, you break even, no losses but no gains either, how much you take in is the same amount that you shelled out, namely R(x) = C(x).
The hole is located where the hole is part a
Answer:
<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>
Step-by-step explanation:
Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.
She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by 
. Lower yielding bank account will have 
.
Interest from lower yielding bank = 
Interest from higher yielding bank = 
Total Interest per year = $ 3996 = 
∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.
