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Thepotemich [5.8K]
3 years ago
6

after 3 weeks a corn plant is 2 ft tall after 9 weeks the plant is 8 ft tall write an equation that represents the height Y in f

eet of the Corn plant after X weeks
Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

The equation would be y = x - 1

Step-by-step explanation:

In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (3, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

m = (8 - 2)/(9 - 3)

m = 6/6

m = 1

Now that we have the slope, we can use either point and point slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = 1(x - 3)

y - 2 = x - 3

y = x - 1

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Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying
nordsb [41]

Answer:

the students that brought a lunch box is 28

Step-by-step explanation:

The computation of the students that brought a lunch box is shown below:

= Entire school students × students that carry a lunch box ÷ entering students

= 84 students × 8 ÷ 24 students

= 28 students

Hence, the students that brought a lunch box is 28

3 0
2 years ago
Simplify this equation <br> Thanks a lot!!!
den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

\bf\implies a^m \times b^m = (ab)^m

Using this property , we have ,

\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}

This can be written as ,

\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}

Simplifying using ( a+b)(a-b) = a² - b² ,

\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}

Subtracting the numbers inside the brackets ,

\rm\implies (-1)^{2n - 1 }

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

\rm\implies\boxed{\quad \red{ -1 }\quad }

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

4 0
3 years ago
A building casts a shadow that is 36 feet long. At the same time of day, a nearby 9-foot tall tree casts a shadow that is 4 feet
ANTONII [103]

Answer:

16 feet is the correct answer to this problem.

5 0
2 years ago
Find the derivative of f(t)=2√t - 2/√t
Semmy [17]
The answer is t=1.

Hope this helps.
8 0
3 years ago
Read 2 more answers
A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

5 0
3 years ago
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