Answer:
10
Step-by-step explanation:
This is an arithmetic sequence. The common difference is -6, and the first term is 52.
a = 52 − 6(n − 1)
When n = 8:
a = 52 − 6(8 − 1)
a = 52 − 42
a = 10
24.31 ÷ 2.6 = 243.1 ÷ 26 = 9.35
Answer:
perimeter = 26
Step-by-step explanation:
<u>perimeter of a rectangle = 2L + 2W</u>
where:
L = 5x² - 2
W = 7 + 3x
Let x = 1
find: Perimeter
-----------------------------------------------
substitute values into the formula:
P = 2(5 * 1² - 2) + 2(7 + 3 * 1)
P = 2(3) + 2(10)
P = 6 + 20
P = 26
therefore,
the perimeter = 26
Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
I graphed the given points and based on my graph.
<span>
x
y </span>→ EXPONENTIAL<span><span>
</span>
<span>
-2
21
</span><span> 1 4
</span><span> 0 1
</span><span> 1 0
</span></span><span>
x y </span>→ LINEAR<span><span>
</span>
<span>
-2 6
</span>
<span>
-1
-2
</span><span> 0 2
</span><span> 1
6
</span></span>
<span>
x y </span>→ QUADRATIC<span><span>
</span>
<span>
-2
12
</span>
<span>
-1
-2
</span><span> 0
-8
</span><span> 1
-6
</span></span><span>
<span><span>
x
y </span></span></span>→ EXPONENTIAL<span><span><span>
</span>
<span>
-2
16
</span>
<span>
-1 8
</span><span> 0 4
</span><span> 1 2
LINEAR FUNCTIONS always maintain a constant slope. In the above linear function, the slope is 4.
EXPONENTIAL and QUADRATIC FUNCTIONS have different slope in every point.
Exponential functions can be identified by the immediate increase or decrease in the value of y resulting to a minimal increase or decrease in the value of x.
Quadratic functions can be identified as such due to the similar points it has after having the vertex.
</span></span></span>