I worked them out on paper. I hope this helps. There’s a picture of the work.
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
Answer:
Point Form:
(0,2)
Equation Form:
x=0,y=2
Step-by-step explanation:
Answer:
$50
$30.88
I will invest in simple interest as the interest there is more.
Step-by-step explanation:
If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula
, where P is the invested principal, r is the APR and t is the time in years.
So, in our case, 
dollars. (Answer)
Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.
Now, using the formula of compound interest we have
, where r is the APR and n is the number of times in a year the principal is compounded.
In our case, 
dollars. (Answer)
Therefore, I will invest in simple interest as the interest there is more. (Answer)
Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
