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Thepotemich [5.8K]
2 years ago
9

Hello please help i’ll give brainliest

Mathematics
1 answer:
Natalka [10]2 years ago
7 0

Answer:

4. 80°

5. 11

6. 9

Step-by-step explanation:

4. 80 is the lowest number on the chart

5. add temperatures between 86 and 89

6. add temperatures between 86 and 90

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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x.
Leni [432]

Answer:

a)

g(2.9) \approx -6.6

g(3.1) \approx -3.4

b)

The values are too small since g'' is positive for both values of x in. I'm speaking of the x values, 2.9 and 3.1.

Step-by-step explanation:

a)

The point-slope of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on that line.

We want to find the equation of the tangent line of the curve g at the point (3,-5) on g.

So we know (x_1,y_1)=(3,-5).

To find m, we must calculate the derivative of g at x=3:

m=g'(3)=(3)^2+7=9+7=16.

So the equation of the tangent line to curve g at (3,-5) is:

y-(-5)=16(x-3).

I'm going to solve this for y.

y-(-5)=16(x-3)

y+5=16(x-3)

Subtract 5 on both sides:

y=16(x-3)-5

What this means is for values x near x=3 is that:

g(x) \approx 16(x-3)-5.

Let's evaluate this approximation function for g(2.9).

g(2.9) \approx 16(2.9-3)-5

g(2.9) \approx 16(-.1)-5

g(2.9) \approx -1.6-5

g(2.9) \approx -6.6

Let's evaluate this approximation function for g(3.1).

g(3.1) \approx 16(3.1-3)-5

g(3.1) \approx 16(.1)-5

g(3.1) \approx 1.6-5

g(3.1) \approx -3.4

b) To determine if these are over approximations or under approximations I will require the second derivative.

If g'' is positive, then it leads to underestimation (since the curve is concave up at that number).

If g'' is negative, then it leads to overestimation (since the curve is concave down at that number).

g'(x)=x^2+7

g''(x)=2x+0

g''(x)=2x

2x is positive for x>0.

2x is negative for x.

That is, g''(2.9)>0 \text{ and } g''(3.1)>0.

So 2x is positive for both values of x which means that the values we found in part (a) are underestimations.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=6-3%2F4x%2B1%2F3%3D1%2F2x%2B5" id="TexFormula1" title="6-3/4x+1/3=1/2x+5" alt="6-3/4x+1/3=1/2x
Vikki [24]

Answer:

X=1 1/3 or

X=1.3

Step-by-step explanation:

Hope I helped u

6 0
2 years ago
What is the angle relationship between ZBAC and ZDCA?<br> F<br> R<br> G
horsena [70]

The angle BAC and DCA are alternate interior angles , Option D is the right answer.

What are Parallel Lines ?

The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.

In the given question it is given that there are two lines FG and DE

The lines are parallel to each other , and transversal are AC and BC .

The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.

Option D is the right answer.

To know more about Parallel Lines

brainly.com/question/16701300

#SPJ1

4 0
2 years ago
A five-card hand is dealt from a deck of standard cards. Which expression represents the calculation for the expected number of
IrinaVladis [17]
I think the answer is C but i could be wrong
8 0
3 years ago
What is 0.75×2 please show your work need a answer today
attashe74 [19]
1.50 that should be it and i dont know how to show my work on a computer SORRY.
8 0
3 years ago
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