Answer:
With this form, we can tell that the x intercepts are x=6 and x=-2. So the x coordinate of the vertex is 2
Step-by-step explanation:
Answer:
20 nickels and 26 dimes
Step-by-step explanation:
- She has $3.60 in nickels and dimes
- a nickel is $0.05 and a dime is $0.10
- let n be the number of nickels and d be the number of dimes
- thus the first equation is 3.6 = 0.05n +0.1d
- If she has 46 coins then n + d = 46
- then n = 46 - d
- sub n = 46 - d into 3.6 = 0.05n +0.1d
- 3.6 = 0.05(46 - d) + 0.1d
- 3.6 = 2.3 -0.05d+0.1d
- 1.3 = 0.05d
- 26 = d
- sub d = 26 into n+d=46
- n+26=46
- n=20
- Check by subbing n=20 and d=26 into 0.05n +0.1d
- 0.05(20) +0.1(26)
- 1+2.6 = 3.6
Answer:
Step-by-step explanation:
Given the integral equation
According to integration by part;
u = x, dv = e^7x
du/dx = 1
du = dx
Substitute the given values into the formula;
Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)
