Answer:
a=1 or a=5/6
Step-by-step explanation:
I'm going to attempt to factor 6a^2-a-5
a=6
b=-1
c=-5
Find two numbers that multiply to be a*c and add to be b.
a*c=-30 =-6(5)
b=-1 =-6+5
So replace -a with -6a+5a in the expression we started with
6a^2-6a+5a-5
now we factor by grouping
6a(a-1)+5(a-1)
(a-1)(6a-5)
Now let's solve the equation:
(a-1)(6a-5)=0
So a=1 or a=5/6
Answer:
1) ![5r + 2 < s](https://tex.z-dn.net/?f=5r%20%2B%202%20%3C%20s)
2) ![12t + 6s < 960](https://tex.z-dn.net/?f=12t%20%2B%206s%20%3C%20960)
3) ![p - q > 30](https://tex.z-dn.net/?f=p%20-%20q%20%3E%2030)
Step-by-step explanation:
1) Length of a ruler = r
Height of Shiela = s
According to the question ,
5 times the length of a ruler increased by 2 .
⇒ ![5r + 2](https://tex.z-dn.net/?f=5r%20%2B%202)
Also , 5r + 2 is less than height of Shiela.
Hence , the linear inequality is ⇒ ![5r + 2 < s](https://tex.z-dn.net/?f=5r%20%2B%202%20%3C%20s)
2) Let the cost of each t-shirt be 't' & cost of each short be 's'.
⇒ Cost of dozen of t-shirts = 12t and Cost of half a dozen shorts = 6s
According to the question ,
12t & 6s is not greater than Php 960.
Hence the linear inequality is ⇒ ![12t + 6s < 960](https://tex.z-dn.net/?f=12t%20%2B%206s%20%3C%20960)
3) Let the number of Php 100-peso tickets be 'p' and let the number of Php 50-peso tickets be 'q'.
According to the question ,
Difference of p & q is not less than 30
Hence the linear inequality is ⇒![p - q > 30](https://tex.z-dn.net/?f=p%20-%20q%20%3E%2030)
Less than. Because one of the numbers multiplying to make the product is lower than that of the other equation. 7.69*5=38.45 whereas 8*5=40
9514 1404 393
Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.
Answer:
8/5 or 1.6
Step-by-step explanation: