It would take exactly 4 years for these trees to be the same height.
Step-by-step explanation:
Given,
Height of Tree A = 9 feet
1 feet = 12 inches
9 feet = 9*12 = 108 inches
Growth rate = 2 inches per year
Let,
y be the number of years.
A(y)= 108 + 2y
Height of Tree B = 8 feet
8 feet = 8*12 = 96 inches
Growth rate = 5 inches per year
B(y)=96+5y
In case of same height;
A(y)=B(y)
![108+2y=96+5y\\108-96=5y-2y\\12=3y\\3y=12](https://tex.z-dn.net/?f=108%2B2y%3D96%2B5y%5C%5C108-96%3D5y-2y%5C%5C12%3D3y%5C%5C3y%3D12)
Dividing both sides by 3
![\frac{3y}{3}=\frac{12}{3}\\y=4](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%5Cfrac%7B12%7D%7B3%7D%5C%5Cy%3D4)
It would take exactly 4 years for these trees to be the same height.
Keywords: functions, division
Learn more about functions at:
#LearnwithBrainly
Answer:
2 us liquid pints =
0.25 us liquid gallon
Step-by-step explanation:
Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Answer:
Percent error of Martha's estimation is 18.48%.
Step-by-step explanation:
The number of estimated marbles in a jar = 97
The number of actual marbles in a jar = 119
Now, ERROR = ACTUAL VALUE - ESTIMATED VALUE
= 119 - 97 = 22
So, the error in counting marbles = 22 marbles.
Now, ![\textrm{ERROR PERCENTAGE} = \frac{\textrm{Error Value}}{\textrm{Actual Value}} \times 100](https://tex.z-dn.net/?f=%5Ctextrm%7BERROR%20PERCENTAGE%7D%20%3D%20%5Cfrac%7B%5Ctextrm%7BError%20Value%7D%7D%7B%5Ctextrm%7BActual%20Value%7D%7D%20%5Ctimes%20100)
![= \frac{22}{119} \times 100 = 18.48](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B22%7D%7B119%7D%20%5Ctimes%20100%20%3D%2018.48)
or, Percentage error = 18.48%
Hence, percent error of Martha's estimation is 18.48%.
Answer:
24. 7z^2(2z^3+1)
27. 7t (3t - 2)
30. 3a^2 (a^3-2a+4)
Step-by-step explanation:
You didnt specify what to do so i just assume this is a factorization question.