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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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The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are I. The ratio of 2:3,
Advocard [28]

Answer:

The numbers are 38 and 57

Step-by-step explanation:

Let

x-----> the missing smaller number

y----> the missing larger number

we know that

45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y

x+y= 95 -----> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

substitute equation B in equation A and solve for y

\frac{2}{3}y+y= 95

\frac{5}{3}y= 95

y=95*3/5=57

Find the value of x

x=\frac{2}{3}(57)=38

8 0
3 years ago
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tia_tia [17]

Answer:

I cant see the whole thing But I think you're right

4 0
3 years ago
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35 rounded to the nearest hundred
Volgvan

Answer and Explanation: 35 rounded to the nearest 100 is 0. To round to the nearest hundred, you need to first identify the hundreds that are closest to the number you are rounding. For 35, the closest hundred that is lower than 35 is 0, and the closest 100 that is higher than 35 is 100.

7 0
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Paraphin [41]

Answer:

the probability that a test correctly classifies as positive individuals who have preclinical disease

Step-by-step explanation:

Sensitivity represents the true positive percentage

Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive

So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease

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3 0
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Haley is 41 years old. Haley is 15 years less than seven times Marcy's age. How old is Marcie
blondinia [14]
Harley is 15 years less than seven times Marcy's age, so that means Haley + 15 = 7 * Marcy

Equation: (41 + 15) / 7 = 56 / 7 = 8

Marcy's age is 8.

Hope this helped =)
4 0
3 years ago
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