Answer:
0.28571 miles (keystrokes)
Teddy =X
Dolls= 2x-14
2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22
Teddy are 22
Dolls 2(22)-14=30
Answer:
Hello,
p=4
q=7
Step-by-step explanation:
The vertex of the parabola is (-2,3)
Equation of the parabola is k(x+2)²+3=x²+px+q
Let's identify the coefficients:
kx²+4kx+4k+3=x²+px+q
so
k=1
4*1=p
4*1+3=q
Their speed of separation will be equal to the sum of their speeds because they are in opposite directions.
Speed of separation = 40 + 50 = 90 miles per hour
Time = distance / speed
Time = 405 / 90
Time = 4.5 hours
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Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
