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Vikentia [17]
3 years ago
15

Hi, can someone help me on a p e x? learning

Mathematics
1 answer:
Pie3 years ago
4 0

Sure whats the problem?

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The growth rate of the sunflower from day 14 to day
nata0808 [166]

Option B) h = 4.5t – 27 is the equation of the straight line that best models the height h, in centimeters, of the sunflower t days after it begins to grow.

                     

From the above graph we can see that from day 14 to day 35 , it is a straight line.

And equation of a straight line is   y = mx + c  or   y – y1 = m(x – x1)

                               Where, m =slope of the line

                                             c = intercept

the equation can be rewritten as  h – h1  = m(t – t1)                    (1)

So, to find the equation of line , first we will calculate the slope of the line.

To find the slope : m = (h2 – h1 ) / (t2 – t1)                     (2)

From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.

Putting these values in equation (2), we get

                 m = (131 – 36.6)/(35 – 14)

                 m =  94.4/21

                 m  = 4.5

now to find the equation of line we put the values in equation (1), we get

h – 36.6 = 4.5(t – 14)

h – 36.6 = 4.5t – 63

h = 4.5t -63 + 36.6

h = 4.5t -27

Hence the equation of the line is ,   option B) h = 4.5t -27

Learn more about the straight line here : brainly.com/question/6977417

#SPJ4

7 0
2 years ago
According to the Triangle Inequality, the length of the longest side of a triangle must be less than the sum of the length of th
Tresset [83]

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

4 0
3 years ago
Which shows the rational expression written using the least common denominator?
aleksandr82 [10.1K]

Answer:

(x + 1)/4x² + 4(x + 1)/4x²

Step-by-step explanation:

x+1/4x² + x+1/x²

The above can be simply as follow:

Find the least common multiple (LCM) of 4x² and x². The result is 4x²

Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:

(4x² ÷ 4x²) × (x + 1) = x + 1

(4x² ÷ x²) × (x + 1) = 4(x + 1)

x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²

= (x + 1)/4x² + 4(x + 1)/4x²

Therefore,

x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²

5 0
3 years ago
For the function defined by I = 50/t, what can you say about the relationship between the variables I and t?
sveticcg [70]

Answer:

Inverse proportionality relationship

Step-by-step explanation:

SInce I equals 50 divided by t, we see "t in the denominator, which corresponds to an INVERSE proportionality between these variables (I and t)

8 0
3 years ago
At lunch, $60\%$ of the students selected soda while $20\%$ selected milk. If 72 students selected soda, how many students selec
Nadusha1986 [10]

Answer:

24 students

Step-by-step explanation:

If 60% equals 72, then 20% would be 1/3 of 72 which is 24.

7 0
3 years ago
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