Answer:
1. if you are solving using the quadratic formula. the answer is in the first picture.
2. if you are looking to completing the square the answer is in the second picture.
Step-by-step explanation:
Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas
<em><u>Solution:</u></em>
Given that, Isabel’s car gets 33.5 miles per gallon
Her gas tank holds 15.1 gallons of gas
To find: Number of miles can Isabel drive on a full tank of gas
Let "x" be the miles drive with 15.1 gallons of gas
From given,
1 gallon = 33.5 miles
15.1 gallon = x miles
This forms a proportion and we can solve the sum by cross multiplying
![1 \times x = 15.1 \times 33.5\\\\x = 505.85](https://tex.z-dn.net/?f=1%20%5Ctimes%20x%20%3D%2015.1%20%5Ctimes%2033.5%5C%5C%5C%5Cx%20%3D%20505.85)
Thus Isabel can drive 505.85 miles on a full tank of gas
the answer should be letter A
the difference of 3.4 and 1.25 = 2.15
Now you know that there will be 2 whole blocks and .15 of a block
.15 is equal to 3/20 which is equal to 15/100.
So you will have 2 whole blocks and 15/100 of a blocks. So the answer is A
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
![A = wl](https://tex.z-dn.net/?f=A%20%3D%20wl)
w(2w + 3) = 9
From this, we get that:
![l = 2w + 3, A = 9](https://tex.z-dn.net/?f=l%20%3D%202w%20%2B%203%2C%20A%20%3D%209)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
In this question:
![w(2w+3) = 9](https://tex.z-dn.net/?f=w%282w%2B3%29%20%3D%209)
![2w^2 + 3w - 9 = 0](https://tex.z-dn.net/?f=2w%5E2%20%2B%203w%20-%209%20%3D%200)
Thus a quadratic equation with ![a = 2, b = 3, c = -9](https://tex.z-dn.net/?f=a%20%3D%202%2C%20b%20%3D%203%2C%20c%20%3D%20-9)
Then
![\Delta = 3^2 - 4(2)(-9) = 81](https://tex.z-dn.net/?f=%5CDelta%20%3D%203%5E2%20-%204%282%29%28-9%29%20%3D%2081)
![w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3](https://tex.z-dn.net/?f=w_%7B2%7D%20%3D%20%5Cfrac%7B-3%20-%20%5Csqrt%7B81%7D%7D%7B2%2A2%7D%20%3D%20-3)
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958