1. The linear equation:
y = m x + b
m = 3
- 2 = 3 · 1 + b
- 2 = 3 + b
b = - 5
Answer: A ) y = 3 x - 5
2. We will solve the system of equations:
12 = - 4 m + b / · ( - 1 )
23 = 7 m + b
----------------------
- 12 = 4 m - b
+
23 = 7 m + b
--------------------
11 = 11 m, m = 1, b = 16
Answer: A ) y = x + 16
Let’s choose the first one, and do the proportions.
x/30 = 90/100
Cross multiply and you have
100x = (30)(90)
100x = 2700
x = 27
And the fourth one: multiply by the decimal equivalent of the percent.
90% = 90/100 = 0.9
0.9 x 30 = 27
You chose these because your “online tutor” finds them easiest to explain XD
Let x= the regular price
.75x=62.41
x is about 83.21
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Hi!
<h3>The perimeter is equal to </h3>
<u>l + l + w + w = 62</u>
<h3>The length is 3 feet longer than the width so...</h3>
<u>w + 3 + w + 3 + w + w = 62</u>
<h3>Simplify</h3>
<u>4w + 6 = 62</u>
4w + 6 - 6 = 62 - 6
4w = 56
4w/4 = 56/4
<u>w = 14</u>
<u>14 + 3 = 17</u>
<h2>The width is 14 and the length is 17. </h2>
Hope this helps! :)
-Peredhel
