Answer:
x² + 8x + 12
Step-by-step explanation:
see
the length of the entire rectangle = x + 6
breadth of the entire rectangle = x + 2
area of a rectangle = length × breadth
= (x + 6)(x + 2)
= x² + 8x + 12
which is the required polynomial in standard form
Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the three consecutive even integers are represented by:
n, n + 2, n + 4
The first integer is two times the third, hence:
n = 2(n + 4)
2n + 8 = n
n = -8
Thus:
n = -8
n + 2 = -8 + 2 = -6
n + 4 = -8 + 4 = -4
The integers are -8, -6 and -4.
To learn more about system of equations, you can take a look at brainly.com/question/26650649
Step-by-step explanation:
a 43
hope it helps
your welcome
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:
<em>A.</em><em> There were 400 larvae at 0 degree Celsius.</em>
Step-by-step explanation:
Here,
x = the temperature of water in °C
y = the number of insect larvae in the water
The graph is a graph of quadratic function as it is a parabola and it opens downward, so it has a negative leading coefficient i.e coefficient of x² is negative.
At y intercept, the line or curve passes through y axis. At y intercept the value of x is zero, because on y axis the value of x is 0.
As the y intercept in this case is (0, 400), so at y intercept value of x is 0 and y is 400.
Therefore, at y intercept or at 0°C there were 400 larvae.
