Answer:
Step-by-step explanation:
y = 85x+90
3) 85*3+90 (rule)
y= 85*3 = 255 + 90 = 345 (output)
4) 85*4+90 (rule)
y = 85*4= 340 + 90 = 430 (output)
Answer:
The area of the cover for the hot tub must be:
Step-by-step explanation:
First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:
- <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)
Since the diameter is mentioned, it can be replaced in the formula:
- Area of a circle = 3.14 * (3.5 feet) ^ 2
- <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
Answer:
B. multiply both sides by c.
Step-by-step explanation:
To solve the equation for x, you have to isolate the x variable on one side of the equation. To do this, do the opposite of any operation applied to x to remove other variables from the x's side of the equation:
x/c = d
multiply both sides of the equation by c to isolate x:
(x/c) * c = d * c
x = dc
Now x can be solved for.
Hope this helps :)
9514 1404 393
Answer:
$3277.23
Step-by-step explanation:
The future value of the CD with interest at rate r compounded semiannually for t years will be given by ...
A = P(1 +r/2)^(2t)
where P is the principal value.
For the given rate and time, this is ...
A = $2000(1 +0.05/2)^(2·10) = $2000(1.025^20) ≈ $3277.23
The value of the CD at maturity will be $3277.23.
Answer:
The points of intersections are: <u>(1.5 , 1.25) and (4 , 0)</u>
Step-by-step explanation:
Given:
y = x² - 6x + 8 ⇒ (1)
2y + x = 4 ⇒ (2)
And required the solution of the system of equations.
By graphing the system of equations, the points of intersections are:
<u>(1.5 , 1.25) and (4 , 0)</u>
See the attached figure.
<u>Another solution:</u>
By substitution of y from the second equation at the first equation.
From (1) ⇒ y = 0.5 (4-x)
At (2): and solve for x
0.5 ( 4 - x ) = x² - 6x + 8 ⇒ multiply both sides by 2
4 - x = 2x² - 12x + 16
2x² - 12x + 16 + x - 4 = 0
2x² - 11x + 12 = 0
The general solution of the quadratic equation:
so, a = 2 , b = -11 and c = 12
∴
∴ at x = 4 ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0
And at x = 1.5 ⇒ y = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25
<u>So, the solution are the points (4,0) and (1.5 , 1.25)</u>
