Answer:
4320
Step-by-step explanation:
Answer:
<u>A. 1</u>
Step-by-step explanation:
<u>y-intercept of f(x)</u>
- f(x) = 2(3)°
- f(x) = 2
- (0, 2)
<u>y-intercept of g(x)</u>
Distance
⇒ 3 - 2
⇒ <u>A. 1</u>
![x = 5 \: and \: y = 1.](https://tex.z-dn.net/?f=x%20%3D%205%20%5C%3A%20and%20%5C%3A%20y%20%3D%201.)
Step-by-step explanation:
![7x + 4y = 39 \: - {eq}^{n} (1)](https://tex.z-dn.net/?f=7x%20%2B%204y%20%3D%2039%20%5C%3A%20%20-%20%20%7Beq%7D%5E%7Bn%7D%20%281%29)
![2x + 4y = 14 \: \: - {eq}^{n} (2)](https://tex.z-dn.net/?f=2x%20%2B%204y%20%3D%2014%20%20%5C%3A%20%5C%3A%20%20-%20%20%7Beq%7D%5E%7Bn%7D%20%282%29)
Multiply Equation no (1) with 2 and Equation no (2) with 7.
![14 x + 8y = 78.](https://tex.z-dn.net/?f=14%20x%20%2B%208y%20%3D%2078.)
![14x + 28y = 98.](https://tex.z-dn.net/?f=14x%20%2B%2028y%20%3D%2098.)
![( - ) \: \: \: ( - ) \: \: \: ( - )](https://tex.z-dn.net/?f=%28%20-%20%29%20%5C%3A%20%5C%3A%20%20%5C%3A%20%20%28%20-%20%29%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%28%20-%20%29)
![0x + -20y = - 20](https://tex.z-dn.net/?f=0x%20%2B%20%20-20y%20%3D%20%20-%2020)
![- 20y = - 20](https://tex.z-dn.net/?f=%20-%2020y%20%3D%20%20-%2020)
![y = \frac{ - 20}{ - 20}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B%20-%2020%7D%20)
![y = 1](https://tex.z-dn.net/?f=y%20%3D%201)
Substitute the value of "y" in Equation no (1)
![7x + 4y = 39.](https://tex.z-dn.net/?f=7x%20%2B%204y%20%3D%2039.)
![7x + 4(1) = 39.](https://tex.z-dn.net/?f=7x%20%2B%204%281%29%20%3D%2039.)
![7x + 4 = 39.](https://tex.z-dn.net/?f=7x%20%2B%204%20%3D%2039.)
![7x = 39 - 4](https://tex.z-dn.net/?f=7x%20%3D%2039%20-%204)
![7x = 35.](https://tex.z-dn.net/?f=7x%20%3D%2035.)
![x = \frac{35}{7}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B35%7D%7B7%7D%20)
![x = 5.](https://tex.z-dn.net/?f=x%20%3D%205.)
Answer:
6%
Step-by-step explanation:
The percentage is the ratio 15/250 converted to a percent. That conversion can be accomplished by multiplying the ratio by 100%. (You can do this without a calculator.)
15/250 × 100% = (1500/250)% = 6%
C = -5/3 = -1 2/3
Write down the equation and solve for c
-3 - 3/4(c-4) = 5/4
Distribute the 3/4
-3 -(3/4)c + 3 = 5/4
Perform the addition of -3 and 3
-(3/4)c = 5/4
Divide both sides by -(3/4)
c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3
So the value of c is -5/3. Let's verify it.
-3 - 3/4(-5/3 - 4) = x
Distribute the -3/4
-3 - (3/4)(-5/3) + (3/4)4 = x
-3 +15/12 + 3 = x
Combine terms
15/12 = x
Simplify
5/4 = x