<span>Solve the following equation in the real number system. Please show all of your work.
example:
x³-6x²-10x+12=0
...
f(x)=x³-6x²-10x+12
A graphing calculator will show that there is one zero at x=-2
Divide f(x) by (x+2) by long division or synthetic division
(x³-6x²-10x+12)/(x+2)=x^2-8x+6
solve for other two zeros
x^2-8x+6=0
complete the square
(x^2-8x+16)+6-16=0
(x-4)^2=10
x-4=±√10
x=4±√10=7.16 and -.84
ans:
x=-2, -.84 and 7.16</span>
Answer:
$742
Step-by-step explanation:
To solve this, you need to figure out what 6% of 700 dollars is and then add that to 700. The easiest way to find the percentage of a number is to set it up in the equation:
6/100 = x/700 where 6 is the percentage of 700 (out of 100 because you can only get up to 100 percent in this case) and x is 6 percent of 700. when you cross multiply, you get 100x = 4200. Then you divide both sides by 100 to get x by itself. This will give you x = 42 Add this to 700 for 742 as the total amount that will be paid. Sorry if this first half was a little confusing
The equation for determine the cost of sandwiches one afternoon is
<span>y<span>=5.95*x
</span></span>
<span>x= number of sandwiches</span>
<span>5.95 = cost one sandwiches</span>
The equation for determine the number of sandwiches sold one
afternoon is
<span>x=y/5.95</span>
We have that
<span>y=71.40</span>
<span>x=(71.40/5.95)
x=12 </span>
<span>the response is 12 <span>sandwiches
sold one afternoon</span></span>
You will have 12 quarters and 7 dimes which equal 3 . 70
nexted question the answer is
three weeks till its is twice the amount as hers and there will be 110 more in the account
The area of a semicircle is (πr^2)/2, with r being the radius
the radius is going to be the diameter diced by two: 49/2 = 24.5
now, plug in and solve
(π24.5^2)/2 = 600.25π/2 = 300.125 π
π is roughly equivalent to 3.14, so we can multiply to simplify
area = 942.87