Equation:- 2y-x=10
For L to intersects Y axis then X cordinate must be zero
so put value of X as zero (0) :-
![2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = \frac{ \cancel{10}^{ \: \: \: 5} }{ \cancel2}](https://tex.z-dn.net/?f=2y%20-%20x%20%3D%2010%20%5C%5C%202y%20-%200%20%3D%2010%20%5C%5C%202y%20%3D%2010%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B%20%5Ccancel%7B10%7D%5E%7B%20%5C%3A%20%20%5C%3A%20%20%5C%3A%205%7D%20%7D%7B%20%5Ccancel2%7D%20)
So Y cordinate is equal to 5
Cordinate:- (0,5)
Answer:
weight of pears sold = 4.08 kg
Step-by-step explanation:
total weight of apples and pears = 6.8 kg
2/5 of this weight = apples
this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:
∴ weight of apples = 2/5 of total weight
weight of apples 2/5 × 6.8 = 2.72 kg
Therefore apples weigh a total of 2.72 kg
Therefore, since weight of apples + weight of pears = 6.8 kg
2.72 + weight of pears = 6.8
weight of pears = 6.8 - 2.72 = 4.08 kg
Answer:
![\sum_{n=1}^{14}(3n-28)](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B14%7D%283n-28%29)
Step-by-step explanation:
The given series is
![-25-22-19+...](https://tex.z-dn.net/?f=-25-22-19%2B...)
The the first term of the sequence is;
![a_1=-25](https://tex.z-dn.net/?f=a_1%3D-25)
The constant difference is;
![d=-22--25](https://tex.z-dn.net/?f=d%3D-22--25)
![d=3](https://tex.z-dn.net/?f=d%3D3)
The nth term of the series is
![a_n=a_1+d(n-1)](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29)
![a_n=-25+3(n-1)](https://tex.z-dn.net/?f=a_n%3D-25%2B3%28n-1%29)
![a_n=-25+3n-3](https://tex.z-dn.net/?f=a_n%3D-25%2B3n-3)
![a_n=3n-28](https://tex.z-dn.net/?f=a_n%3D3n-28)
Using the summation notation, we can write the series as;
![\sum_{n=1}^{14}(3n-28)](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B14%7D%283n-28%29)
Answer:
<u>h = x² - 2x - 35</u>
Step-by-step explanation:
Making the factors :
It mentions the zeros are <u>7</u> and <u>-5</u>.
Then, the factors are :
⇒ (x - 7)
⇒ (x + 5)
===========================================================
The quadratic function will be :
⇒ h = (x - 7)(x + 5)
⇒ <u>h = x² - 2x - 35</u>