We know that
<span>the vertex form of the equation is
y=a(x-h)</span>²+k
we have
y = 7x² + 14x +4
y=7(x² + 2x) +4
y=7(x² + 2x+1-1) +4
y=7(x² + 2x+1) +4-7
y=7(x+1)²-3
the answer is
y=7(x+1)²-3
Answer:
that's as simple as it gets
Step-by-step explanation:
"Simplify" usually means "combine like terms, rationalize the denominator, reduce radicals to the greatest extent, cancel common factors from fractions, eliminate parentheses," and the like.
When a function of a single variable is multiplied by a single constant, there is no simplification that can be done.
18cos(Ф)
_____
If your ∅ is supposed to be zero, then cos(0) = 1 and it simplifies to 18.
We have that
<span>question 1
Add or subtract.
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3
the answer is the option
</span><span>B: m2 + 10m3
</span><span>Question 2:
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3
the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3
</span><span>Question 3:
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.
we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30
the answer is the option
</span><span>C: −0.03x2 + 6x + 30
</span><span>
</span>
<span>Implement and follow up on the solution. Hope this helps :)</span>
Answer:
x = 0.25
Step-by-step explanation:
Rewrite the equation as:
![\frac{\sqrt[4]{5}}{125^{x/3}} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B5%7D%7D%7B125%5E%7Bx%2F3%7D%7D%20%3D%201)
![\sqrt[4]{5} = 125^{x/3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5%7D%20%3D%20125%5E%7Bx%2F3%7D)
![(\sqrt[4]{5})^4 = (125^{x/3})^4](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B5%7D%29%5E4%20%3D%20%28125%5E%7Bx%2F3%7D%29%5E4)
