If Ian uses 1/20 of the ketchup 4 times, this is equal to 4/20, or
.
can be simplified to
, which means we need to work out
of 12.2
is equivalent to 20%, which as a decimal is 0.2
0.2 x 12.2 = 2.44 - however, this is how much he has
used, and we need to figure out how much is left.
12.2 - 2.44 = 9.76
So, Ian has 9.76 oz remaining :)
Looking at the triangle from the aspect of the reference angle, the tangent of that angle would be the ratio of the side opposite the angle over the side adjacent to the angle (which is NOT the hypotenuse!)
Answer:
A or c!
Step-by-step explanation:
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both 
and 
are factors of f(x), and furthermore, their product, 
, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that
I'll go through to steps to factor that second expression below:
Solving both of the expressions when f(x) = 0 gets us our final two zeroes:
So, the remaining zeroes are 1/2 and 3.
Answer:
D
Step-by-step explanation:
The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)
I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps
