The time taken for the person to get to school based on the equation will be 7 minutes.
<h3>How to calculate the time?</h3>
From the information given, the equation is given as:
g(x) = x⁴ - 3x² + 4x - 5
Then, we'll put 2 as x. This will be:
= 2⁴ + 3(2)² + 4(2) - 5
= 16 - 12 + 8 - 5
= 7
Therefore, the time taken for the person to get to school based on the equation will be 7 minutes.
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The first one is definitely
Answer:
a = 150
Step-by-step explanation:
<u>Sum to infinity of a geometric series</u>
![S_{\infty}=\dfrac{a}{1-r}\:\textsf{ for }|r| < 1](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D%5Cdfrac%7Ba%7D%7B1-r%7D%5C%3A%5Ctextsf%7B%20for%20%7D%7Cr%7C%20%3C%201)
where:
- a is the first term
- r is the common ratio
Given:
Substitute the given values into the formula and solve for a:
![\begin{aligned}S_{\infty} & =\dfrac{a}{1-r}\\\\\implies 100 & =\dfrac{a}{1-\left(-\frac{1}{2}\right)}\\\\ 100 & =\dfrac{a}{1+\frac{1}{2}}\\\\100 & = \dfrac{a}{\frac{3}{2}}\\\\a & = \dfrac{3}{2} \cdot 100\\\\a & = 150\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7DS_%7B%5Cinfty%7D%20%26%20%3D%5Cdfrac%7Ba%7D%7B1-r%7D%5C%5C%5C%5C%5Cimplies%20100%20%26%20%3D%5Cdfrac%7Ba%7D%7B1-%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%5Cright%29%7D%5C%5C%5C%5C%20100%20%26%20%3D%5Cdfrac%7Ba%7D%7B1%2B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C100%20%26%20%3D%20%5Cdfrac%7Ba%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%5C%5C%5C%5Ca%20%26%20%3D%20%5Cdfrac%7B3%7D%7B2%7D%20%5Ccdot%20100%5C%5C%5C%5Ca%20%26%20%3D%20150%5Cend%7Baligned%7D)
<span>Associative Property of Multiplication : (ab)c = a(bc)
</span>so
answer is
6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2
Answer:
21
Step-by-step explanation: