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Ray Of Light [21]
3 years ago
7

(1 point) Find the antiderivative F of f(x)=4−3(1+x2)−1 that satisfies F(1)=−3.

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0
Here is your answer I hope it’s helpful

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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
The endpoints of a line segment are located at (–4, 7) and (6, –3). What is the length of the line segment? Round to the nearest
Marrrta [24]

Answer:

-14.1

Step-by-step explanation:

well I dont feel like explaining just go there

7 0
3 years ago
21-35a<br>Factor the following expression​
erica [24]

Answer:

7x(3-5a)

Step-by-step explanation:

21-35a =

to find a minimum common multiply you have to rationalize the number with the same numer, and this number must be a whole, this will help you to write the expression easier, if you notice that 21 and 35 are familiar of 7, then you can find a common factor, to multiply your expression

4 0
3 years ago
point K is between points M and Q. If line segment MK = 7 inches and line segment MQ = 15 inches, whst is the measurement of KQ?
BigorU [14]

The total length of a line segment is the sum of the lengths of its parts.

MQ = MK + KQ . . . . . . express the relationship between the segments

15 in = 7 in + KQ . . . . . fill in the given information

(15 - 7) in = KQ . . . . . . .subtract 7 in

KQ = 8 in . . . . . . . . . . . simplify

The measurement of KQ is 8 inches.

8 0
3 years ago
Write the slope-intercept form of the line that passes through (1, -2) and is parallel to the line y = 4x + 2.
Naily [24]

Use

y-y1=m(x-x1)

y-(-2)=4(x-1) Now why 4??Because parallel lines have the exact same slope

y+2=4x-4

y=4x-4-2

y=4x-6

Hope it helps!

GraceRosalia

~Just a teen who listens to music

8 0
2 years ago
Read 2 more answers
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