To solve this equation, we have to use the distributive property to multiply 5y through the parentheses.
-45y - 15y^2 = 13
-15y^2 - 45y - 13 = 0
15y^2-45y-13=0
<span>y=<span><span>32</span>+<span><span><span><span>130</span><span>√2805</span></span><span> or </span></span>y</span></span></span>=<span><span>32</span><span><span><span>−1</span>30</span><span>√<span>2805, when you use the quadratic formula.</span></span></span></span>
Answer:
the slope of the equation is -5 and the y-intercept is +3
Step-by-step explanation:
sorry but i cannot graph it for you
First, you need to turn it into a fraction by doing the multiplication. 6/1 × 3/20 which is 18/20. then you simplify it to get 9/10. 9/10 is your answer
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Answer:
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Step-by-step explanation:
Let us suppose r be the total number of meals eaten in a restaurant
Let us suppose c be the total number of meals eaten in a car
Let us suppose h be the total number of meals eaten in a home
- The total number of meals eaten in a restaurant, in a car or at home is given as 163. Hence,
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)
- The total number meals eaten in a car or at home exceeds the number eaten in a restaurant by 11. Hence,
![c + h = r + 11.....[B]](https://tex.z-dn.net/?f=c%20%2B%20h%20%3D%20r%20%2B%2011.....%5BB%5D)
- Twenty more restaurant-purchased meals will be eaten in a restaurant than at home. Hence,
![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)
Substituting Equation [B] into [A],
![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)




Putting
in ![r = h + 20.....[C]](https://tex.z-dn.net/?f=r%20%3D%20h%20%2B%2020.....%5BC%5D)


Putting
and
in ![r + c + h = 171.....[A]](https://tex.z-dn.net/?f=r%20%2B%20c%20%2B%20h%20%3D%20171.....%5BA%5D)



Therefore,
- 80 restaurant purchased meals are eaten in a restaurant
- 31 meals are eaten in a car
- 60 meals are eaten at home
Verification:

Putting
,
and
in 


<em>Keywords: number, equation</em>
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