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Marta_Voda [28]
3 years ago
5

Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16 feet. Which of the

following equations gives the height y, in feet, of the tree after x years if the tree grows at a constant rate? Check all of the boxes that apply.
Mathematics
1 answer:
pychu [463]3 years ago
7 0
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height

Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7

9 years after it was planted: 16 feet
so x= 9 y=16

With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.

To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )


Now we can make the equation
y = 3x -11
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4 0
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Read 2 more answers
Can someone help me with this question? Whoever helps will get brainliest answer. thank you.
enyata [817]

Answer:

Final answer is x^2.

Step-by-step explanation:

Given expression is x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}

Now we need to find about what is product of both factors.

We see that both factors are in exponent form having equal base "x".

So we can apply formula: x^m\cdot x^n=x^{\left(m+n\right)}

x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}

=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}

=x^{\left(\frac{4+2}{3}\right)}

=x^{\left(\frac{6}{3}\right)}

=x^2

Hence final answer is x^2.

5 0
2 years ago
Explain how you know 7(2 - 3n) and (2 - 3n) x 7 are equivalent expressions.​
iogann1982 [59]

Answer:

When you distribute the 7 to each set you get 14-21n and 14-21n

Step-by-step explanation:

5 0
2 years ago
Simpliftly(-8.5)(-5)( -2)<br><br>how do i simplify it​
Darina [25.2K]

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

7 0
3 years ago
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