Our number system is in base 10. The ones place holds digits 0 - 9. When you reach 10, you must add another place value (the tens place).
Base 3 is digits 0-2 becasue when you reach 3, you need to add another place value.
Therefore, the smallest number is 0 and the largest number is 2.
Answer: smallest = 0, largest = 2
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
We have to realize a simple rule of three
if 1 cup of corn------------------------- > 7.87 g of fat
2.5 cup--------------------------- X
X=2.5*7.87=19.675 gr
the answer is 19.675 grams of fat in 2.5 cup of corn
Answer:
Rocco doesn't have enough money to buy the golf irons
Step-by-step explanation:
step 1
Find the rest of the money left in the savings account
using proportion

step 2
we know that
The set of golf irons has an original price of $359
Applying 40% discount
100%-40%=60%=60/100=0.60
after the discount the price will be


therefore
Rocco doesn't have enough money to buy the golf irons
Answer:
f(x) = -x³ + 3x² + 4x - 12
Step-by-step explanation:
f(x)=(x+2)(-x+3)(x-2)
Step 1. Use the difference of two squares
(x + 2)(x - 2) = x² - 4
f(x) = (-x + 3)(x² - 4)
Step 2. Long multiplication
x² - 4
<u>-x + 3 </u>
-x³ + 4x
<u> + 3x² - 12</u>
-x³ + 3x² + 4x - 12
f(x) = -x³ + 3x² + 4x - 12