Answer:
<em>The answer to your question is</em><em> 125</em>
Step-by-step explanation:
<em> x = 25 X 5= 125.</em>
<em>The required number is 125.</em>
<u><em>I hope this helps and have a good day!</em></u>
Answer:
what do you mean
Step-by-step explanation:
what do you mean
Answer:
-9
Step-by-step explanation:
-1y+11=20
-11= -11
-1y=20-11
-1y=9
-9
Answer:
1½ cords per hour
Step-by-step explanation:
A log splitter can split 6/5 cords of wood in 4/5 of an hour.
To find a unit rate, we divide the quantity of cords of wood by the time.
This gives us the complex fraction.
This is the same as
To divide two fractions, we multiply by the reciprocal of the second fraction.
This simplifies to:
The unit rate is 1.5 cords per hour
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
