The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 0 real solutions.
Hence, for the given values of the discriminant, we have that:
- discriminant = 0: 1 Real number solution.
- discriminant = -36: 0 Real number solutions.
- discriminant = 3: 2 Real number solutions.
- discriminant = 2: 2 Real number solutions.
- discriminant = 100: 2 Real number solutions.
- discriminant = -4: 0 Real number solutions.
More can be learned about quadratic functions at brainly.com/question/24737967
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<span>2(8x - 4) = 32 distribute through parenthesis
16x - 8 =32 add 8 on both sides to isolate x
16x = 40 divide by 16 on both sides to isolate x
x= 40/16 simplify, Divide 40 by 16
x = 2.5 this is your final answer, I hope it helps!</span>
Answer:
im pretty sure the answer would be C'D' and CD would be equal in length!
Step-by-step explanation:
because you are only reflecting it across the y-axis, no changes will be made to the line itself, only the location of the line :)
Answer:
$63
Step-by-step explanation:
- Penny = $0,01
- Nickel = $0.05
- Dime = $0.1
- Quarter= $0.25
- Number of pennies = 6*50 = 300
- Number of nickels = 5*40= 200
- Number of dimes = 4*50= 200
- Number of quarters = 3*40 = 120
<u>Total amount of money:</u>
- 300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63
