Answer:
The perimeter of the rectangle is expressed as; 
Step-by-step explanation:
Given;
area of the rectangle, A = 36 cm²
width of the rectangle, = W
Let L represent the length of the rectangle,
A = L x W
The perimeter of the rectangle is calculated as;
P = 2(L + W)
Substitute the value of L into the above equation;
Thus, the perimeter of the rectangle is expressed as
Answer:
C. Yes, because his monthly fees are currently greater than $17.50.
Step-by-step explanation:
To find out if Dillard will benefit from changing to a checking account that charges $17.50 with no per check fee, we first need to calculate how much he currently spends.
Since Dillard write 18 checks per month, we need to multiply that by $0.24 and add the total value to his current monthly service fee.
18 x 0.24 = $4.5
Now that we know how much he spends for all the 18 check a month we just add his monthly service fee to get his total amount.
$4.5 + $13.25 = $17.75
The other checking account charges $17.50 per month without a service fee, therefore:
$17.75 > $17.50
So Dillard with benefit from changing his checking account.
Answer:
1. 8,400
2. 3,600
3. 1,500
Step-by-step explanation:
multiply the weeks by the number of cars first, and then times it by the amount of money per car
(weeks×cars per week) money per car
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
<span>1) 2p = -2.
<span> 4p [ y - k ] = [ x - h) ]² --- > - 4 [ y + 5 ] = [ x + 5 ]²
2) </span></span><span>4p * (y - k) = (x - h)^2 </span>
<span>(h , k) is the vertex </span>
<span>The vertex is halfway between the focus and the directrix (when they're at their closest) </span>
<span>p is that distance </span>
<span>2 - 1 = 1 </span>
<span>4p = 1 </span>
<span>p = 1/4 </span>
<span>(1/4) * (y - k) = (x - h)^2 </span>
<span>y - k = 4 * (x - h)^2 </span>
<span>The vertex is at (6 , 3/2), since that's midway between (6 , 1) and (6 , 2) </span>
<span>y - 3/2 = 4 * (x - 6)^2 </span>
<span>y = (3/2) + 4 * (x - 6)^2
</span><span>
4) </span><span>f(x) = (-1/16)*(x²)
</span><span>
5) </span><span>f(x) = −1/4 x2 − x + 5</span><span>
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