Answer:
6
Step-by-step explanation:
first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)
The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.
the student read 35 pages in class to start the book because the days are like the pages assigned and read for homework
well, you already know an absolute value expression has a ± siblings, so let's proceed without much fuss.
![\bf |2x-5|=4\implies \begin{cases} +(2x-5)=4\implies 2x=9\implies x=\cfrac{9}{2}\\[-0.5em] \hrulefill\\ -(2x-5)=4\implies 2x-5=-4\\[1em] 2x=1\implies x=\cfrac{1}{2} \end{cases}](https://tex.z-dn.net/?f=%20%5Cbf%20%7C2x-5%7C%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%282x-5%29%3D4%5Cimplies%202x%3D9%5Cimplies%20x%3D%5Ccfrac%7B9%7D%7B2%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20-%282x-5%29%3D4%5Cimplies%202x-5%3D-4%5C%5C%5B1em%5D%202x%3D1%5Cimplies%20x%3D%5Ccfrac%7B1%7D%7B2%7D%20%5Cend%7Bcases%7D%20)
The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.
<h3>
What is the Quartic Formula?</h3>
The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.
<h3>
What is the solution to the above question?</h3>
First we restate the above equation:
x²-3x+2= √(x-2) + 2
Next we remove square roots
- 6x³ + 9x² = x - 2
Add two to both sides
→ - 6x³ + 9x²+2 = x - 2 +2
→ - 6x³ + 9x²+2 = x
Subtract X from both sides
→ - 6x³ + 9x²+2 -x = x -x
→ - 6x³ + 9x²+2 - x= 0
Using the Quartic formula to solve the fourth order equation:
a + bx³ + cx² + dx + e
The resolution of x is given as:
x = 2.691085, 3.346753
Because the fraction nearest to 3.4 is 55/16
hence, the correct answer is Option A.
Learn more about quadratic equations at;
brainly.com/question/25841119
#SPJ1
By converting into parametric equations,
<span><span>x(θ)=r(θ)cosθ=cos2θ<span>cosθ
</span></span><span>y(θ)=r(θ)sinθ=cos2θsinθ</span></span>
By Product Rule,
<span>x'(θ)=−sin2θcosθ−cos2θsinθ</span>
<span>x'<span>(π/2)</span>=−<span>sin(π)</span><span>cos<span>(π/2)</span></span>−<span>cos(π)</span><span>sin<span>(π/2)</span></span>=1</span>
<span>y'(θ)=−sin2θsinθ+cos2θcosθ</span>
<span>y'<span>(π/2)</span>=−<span>sin(π)</span><span>sin<span>(π/2)</span></span>+<span>cos(π)</span><span>cos<span>(π/2)</span></span>=0</span>
So, the slope m of the curve can be found by
<span>m=<span>dy/dx</span><span>∣<span>θ=<span>π2
</span></span></span>= <span><span>y'<span>(π/2)/</span></span><span>x'<span>(π/2)
</span></span></span></span>=0/1
=0
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
