I'm assuming that the first word is "four", with that said, this equation is quite simple. All you need to do to find the price per gallon is divide the cost of four gallons by four.
16.80 ÷ 4 = $4.20
Answer:
∠ABC = 84°
∠BEF = 64°
Step-by-step explanation:
∠ABC is supplementary to the 96° angle shown, so is 180° -96° = 84°.
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∠ABD, marked as (x+y)°, is a vertical angle with ∠EBC, so has the same measure, 96°. ∠BEF, marked as y°, is a vertical angle with the one marked 2x°.
These relationships can be expressed as two equations:
Using the second of these equations to substitute for y in the first equation, we have ...
x + 2x = 96
x = 96/3 = 32
y = 2x = 2·32 = 64 . . . . . . substitute the value of x into the second equation
Then ∠BEF = 64°.
Answer:
![x\leq -7](https://tex.z-dn.net/?f=x%5Cleq%20-7)
Step-by-step explanation:
i put into desmos graphing caculater
Answer:
The ranges of value of k are values larger than 0 and lower than 16.
Step-by-step explanation:
Suppose we have a second order polynomial in the following format:
![ax^2 + bx + c = 0, a \neq 0](https://tex.z-dn.net/?f=ax%5E2%20%2B%20bx%20%2B%20c%20%3D%200%2C%20a%20%5Cneq%200)
It will have no roots if:
![\Delta = b^2 - 4ac < 0](https://tex.z-dn.net/?f=%5CDelta%20%3D%20b%5E2%20-%204ac%20%3C%200)
In this question, we have that:
![hx^2 + hx - 4 = 0](https://tex.z-dn.net/?f=hx%5E2%20%2B%20hx%20-%204%20%3D%200)
So, the coefficients are:
![a = h, b = h, c = -4](https://tex.z-dn.net/?f=a%20%3D%20h%2C%20b%20%3D%20h%2C%20c%20%3D%20-4)
Then
![\Delta < 0](https://tex.z-dn.net/?f=%5CDelta%20%3C%200)
![b^2 - 4ac < 0](https://tex.z-dn.net/?f=b%5E2%20-%204ac%20%3C%200)
![h^2 - 16h < 0](https://tex.z-dn.net/?f=h%5E2%20-%2016h%20%3C%200)
A quadratic function, with a positive(as is 1 in this inequality), will be negative between it's roots.
The roots are:
![h^2 - 16h = 0](https://tex.z-dn.net/?f=h%5E2%20-%2016h%20%3D%200)
![h(h - 16) = 0](https://tex.z-dn.net/?f=h%28h%20-%2016%29%20%3D%200)
So
h = 0 or h = 16.
The ranes of value of k are values larger than 0 and lower than 16.
Answer:
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Step-by-step explanation: