Answer:
x1= 14/4 and X2 = -2
Step-by-step explanation:
To find the values of "X" for which when the function is evaluated gives 19 we need to equal the function to 19, as follows:
2x^2+3x+5 = 19
2x^2+3x+5-19=0
2x^2+3x-14=0
Then, solving for "x" we need to use the quadratic formula (Attached), where a, b, and c, are the following:
a: 2 b: 3 c: 14
Using the quadratic formula, we get:
x1= 14/4 and X2 = -2
Karen would make $136 for 8 hours
85/5 = 17
17x8= $136
Answer:
520 miles
Step-by-step explanation:
The area of the room that is not covered by the rug is: ![21x^3+26x^2-24x+9](https://tex.z-dn.net/?f=21x%5E3%2B26x%5E2-24x%2B9)
Step-by-step explanation:
Let L be the length of the room
and
W be the width of the room
Then
L = 3x^2
W = 7x+14
Area of the bedroom:
![A_r = L*W\\=3x^2(7x+14)\\=21x^3+42x^2](https://tex.z-dn.net/?f=A_r%20%3D%20L%2AW%5C%5C%3D3x%5E2%287x%2B14%29%5C%5C%3D21x%5E3%2B42x%5E2)
Area of Rug:
Let S be the side of rug
S = 4x+3
![A_{rug} =S^2\\=(4x+3)^2\\=(4x)^2+2(4x)(3)+(3)^2\\=16x^2+24x+9](https://tex.z-dn.net/?f=A_%7Brug%7D%20%3DS%5E2%5C%5C%3D%284x%2B3%29%5E2%5C%5C%3D%284x%29%5E2%2B2%284x%29%283%29%2B%283%29%5E2%5C%5C%3D16x%5E2%2B24x%2B9)
The area of the room that is not covered by the rug will be obtained by subtracting the area of the rug from the area of the room.
So,
![Area\ of\ room\ not\ covered\ by\ rug =A_r - A_{rug}\\= 21x^3+42x^2-(16x^2+24x+9)\\=21x^3+42x^2-16x^2-24x-9\\=21x^3+26x^2-24x+9](https://tex.z-dn.net/?f=Area%5C%20of%5C%20room%5C%20not%5C%20covered%5C%20by%5C%20rug%20%3DA_r%20-%20A_%7Brug%7D%5C%5C%3D%2021x%5E3%2B42x%5E2-%2816x%5E2%2B24x%2B9%29%5C%5C%3D21x%5E3%2B42x%5E2-16x%5E2-24x-9%5C%5C%3D21x%5E3%2B26x%5E2-24x%2B9)
Hence,
The area of the room that is not covered by the rug is: ![21x^3+26x^2-24x+9](https://tex.z-dn.net/?f=21x%5E3%2B26x%5E2-24x%2B9)
Keywords: Rectangle, square
Learn more about area at:
#LearnwithBrainly
Yes.
A quadrilateral is a rectangle if it has four right angles. Squares do have four right angles, so they are rectangle.
Squares are particular case of rectangles, in that they also have four sides with equal length, but that's the point: they have something <em>more</em> than the generic rectangle, not something less.
So, squares meet the condition to be a rectangle, and have an extra property that makes them "special" among rectangles.