Answer: A
Explanation:
First you have to write the model in an equation form.
6x+5=15
Subtract 5 from both sides
6x=10
Divide 6 from both sides
X=10/6
Simplify
X=5/3 or 1.67
<span> write out all the factors of each number or draw out a factor tree
24:1,2,3,4,6,8,12,24
44:1,2,4,11,22
the GCF is the largest number in both the lists so in this case it is 4 </span>
Answer:
<h3>Mass of B in Kg = -558.44kg</h3>
Step-by-step explanation:
LET'S DO THIS!
Total mass of A, B and C = 1.95kg
Mass of A = 700 kg
Mass of B = 4x the mass of c (4 x C) which is 4c
Mass of C = ? ( let's call it C )
<h3>Adding all together </h3>
700 + 4c + C = 1.95
<h3>Add like terms</h3>
700 + 5C = 1.95
5C = 1.95 - 700
5C = -698.05
C = -698.05 ÷ 5
<h3>C = -139.61</h3>
<h3>To find B now </h3><h3>Remember they said B is 4 times the mass of C and C = -139.61</h3>
therefore B = 4 × -139.61
<h3>B = -558.44 kg </h3>
<h3>To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg</h3>
<h3>Using your calculator: </h3>
= 700 + ( -558.44 ) + ( -139.61 )
= 700 - 558.44 -139.61
= 1.95 kg
Which makes us CORRECT ✅.
<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
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>
