Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
1.1x -1.8 should be the answer.
Answer:
![y=2(x+6)^2+7](https://tex.z-dn.net/?f=y%3D2%28x%2B6%29%5E2%2B7)
![(-6,7)](https://tex.z-dn.net/?f=%28-6%2C7%29)
Step-by-step explanation:
![y=2x^2+24x+79](https://tex.z-dn.net/?f=y%3D2x%5E2%2B24x%2B79)
Completing the square is a process of converting a quadratic equation in standard form into vertex form.
The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.
![y=(2x^2+24x)+79](https://tex.z-dn.net/?f=y%3D%282x%5E2%2B24x%29%2B79)
Factor out the coefficient of the quadratic term,
![y=2(x^2+12x)+79](https://tex.z-dn.net/?f=y%3D2%28x%5E2%2B12x%29%2B79)
Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.
![y=2(x^2+12x+36-36)+79](https://tex.z-dn.net/?f=y%3D2%28x%5E2%2B12x%2B36-36%29%2B79)
Simplify,
![y=2(x^2+12x+36)+79+(2)(-36)](https://tex.z-dn.net/?f=y%3D2%28x%5E2%2B12x%2B36%29%2B79%2B%282%29%28-36%29)
![y=2(x+6)^2+79-72](https://tex.z-dn.net/?f=y%3D2%28x%2B6%29%5E2%2B79-72)
![y=2(x+6)^2+7](https://tex.z-dn.net/?f=y%3D2%28x%2B6%29%5E2%2B7)
The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.
![(-6,7)](https://tex.z-dn.net/?f=%28-6%2C7%29)
m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day
<em><u>Solution:</u></em>
Given that Grant has an agreement with Brian to rent the bike for $35.00 a night
He charges customers $3.75 for every mile he transports them
Grant needs to make at least $15.00 a day
To find: miles needed to ride
From given question, He charges customers $3.75 for every mile he transports them
So if he transports for "x" miles he would get,
![\$ 3.75 \times x = \$ 3.75x](https://tex.z-dn.net/?f=%5C%24%203.75%20%5Ctimes%20x%20%3D%20%5C%24%203.75x)
So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day
So we can frame a inequality as:
![3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33](https://tex.z-dn.net/?f=3.75x%20-%2035%20%5Cgeq%2015%5C%5C%5C%5C3.75x%5Cgeq%2035%20%2B%2015%5C%5C%5C%5C3.75x%5Cgeq%2050%5C%5C%5C%5Cx%20%5Cgeq%2013.33)
So he needs to ride atleast 13.33 miles to male atleast $ 15.00 a day