Step-by-step explanation:
For y = x^3 - 4 when x = 0, y = -4.
For y = x^2 + 3 when x = 0, y = 3.
Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.
The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.
Hence the answer is D.
<h2><u>Solution (1)</u> :</h2>
Given, to find A we have to :
- square m
- Add y to m²
- Subtract 7 from m² + y
From the question, the following equation can be formed :
Therefore, the formula for finding A = m² + y - 7
<h2><u>Solution (2)</u> :</h2>
The value of A we can derive from the formula is :
Value of m = 3 (given)
Which means :
Thus, the value of A = 2+y
Therefore, the value of A = <u>2+y</u>
The interest figure always means the interest for a year.
120 days is 1/3 of a year, so you'll only earn 1/3 of 6.5% .
6.5% = 0.065
1/3 of that is 0.02167 .
(0.02167) x (7,000) = 151.67
Rate of change <span>a </span>rate<span> that describes how one quantity </span>changes<span> in relation to another quantity. It is also called the slope. To calculate the rate of change in temperature, we use the expression:
Rate of change = change in temperature / change in time
</span>Rate of change = -25.5 / 1.5
Rate of change = -17 °C / min
The negative sign signifies a drop in temperature per minute.
The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).
