Answer:
C. 7
Step-by-step explanation:
Therefore, by Basic Proportionality theorem:
![\frac{AP}{PB} = \frac{AQ}{QC} \\\\\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\ \therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAP%7D%7BPB%7D%20%3D%20%5Cfrac%7BAQ%7D%7BQC%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%5Cfrac%7Bx%7D%7Bx%2B7%7D%20%3D%20%5Cfrac%7Bx-3%7D%7Bx%2B1%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%20-%20x%20-%207%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7Bx%20-%203%20-%20x%20-%201%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%28by%20%5C%3A%20dividendo%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B%20-%207%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7B%20-%204%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%20%5C%5C%207x%20%2B%207%20%3D%204x%20%2B%2028%20%5C%5C%20%20%5C%5C%207x%20-%204x%20%3D%2028%20-%207%20%5C%5C%20%20%5C%5C%203x%20%3D%2021%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B21%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20x%20%3D%207%7D%7D)
Answer:
The answer is C
Step-by-step explanation:
Answer: it will take 8 years.
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^ t
Where
A represents the value of the after t years.
t represents the number of years.
P represents the initial value of the car.
r represents rate of decay.
From the information given,
P = 24900 dollars
A = 14200 dollars
r = 6.5% = 6.5/100 = 0.065
Therefore
14200 = 24900(1 - 0.065)^t
14200/24900 = (0.935)^t
0.5701 = (0.935)^t
Taking log of both sides to base 10
Log 0.5701 = log0.935^t = tlog0.935
- 0.22 = t × - 0.0292
t = - 0.22/- 0.0292
t = 8 years
<u><em>Answer:</em></u>
![B = \frac{7}{3}A + 25](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B7%7D%7B3%7DA%20%2B%2025)
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
![A = \frac{3}{7} (B-25)](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B3%7D%7B7%7D%20%28B-25%29)
To get the value of B, we will need to isolate it on one side of the equation
<u>This is done as follows:</u>
<u>1- Multiply both sides by
to get rid of the fraction:</u>
![\frac{7}{3}A = B - 25](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7DA%20%3D%20B%20-%2025)
<u>2- Add 25 to both sides of the equation:</u>
![\frac{7}{3} A + 25 = B](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%20A%20%2B%2025%20%3D%20B)
Based on the above:
![B = \frac{7}{3}A + 25](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B7%7D%7B3%7DA%20%2B%2025)
Hope this helps :)
Answer:
=14x² −3x −1
Step-by-step explanation:
simplifying step-by-step.
9x2+5x2+5x−3−(8x−2)
Distribute the Negative Sign:
=9x2+5x2+5x−3+−1(8x−2)
=9x2+5x2+5x+−3+−1(8x)+(−1)(−2)
=9x2+5x2+5x+−3+−8x+2
Combine Like Terms:
=9x2+5x2+5x+−3+−8x+2
=(9x2+5x2)+(5x+−8x)+(−3+2)
=14x2+−3x+−1
Answer:
=14x2−3x−1