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Luba_88 [7]
3 years ago
6

Function L is represented by the equation y 6x +4. Compare Functions B an determining which one has the greater rate of change a

nd which one has the gie y-intercept. Explain why your answers are correct. Show your work.please

Mathematics
2 answers:
Alenkasestr [34]3 years ago
7 0

Answer:

-1

Step-by-step explanation:


Eva8 [605]3 years ago
6 0

Answer:

Both the rate of change and the y-intercept are greater in function L

Step-by-step explanation:

To find which has the greater rate of change and the greater y-intercept, start by modeling the equation in the table. We can do that by first finding the slope using two points and the slope formula.

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

m = (5 - -1)/(1 - -1)

m = 6/2

m = 3

Now using that slope and a point, we can find the equation using point-slope form.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

Now we can compare the two equations. First, we know the rate of change is greater in equation L due to the coefficient of x being higher. We also know that the y-intercept is greater due to the constant at the end being greater.

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Pls, help with this math question
Aleks04 [339]

Step-by-step explanation:

OCB=CBO(base angle of isosceles triangle are equal)

now,

OCB+CBO+BOC=180°(sum of angles of triangles)

BOC=180-62

BOC=118°

again,

x=BOC/2{inscribed angle is half of central angle standing on Same base}

x=118/2

x=59°

<h2>stay safe healthy and happy...</h2>
7 0
3 years ago
Which of the following is equivalent to 1 cup
kipiarov [429]
1 cup=16 tablespoons
6 0
2 years ago
Read 2 more answers
Find the value of f(-9)
almond37 [142]

Answer: 2

Step-by-step explanation:

When x=-9, y=2. So, f(-9)=2.

7 0
2 years ago
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
Giving 20 points and brainiest!
sladkih [1.3K]

Answer:

1/2,3/6,5/10,8/16

Step-by-step explanation:

they all equal 1/2

Im not sure if thats what it was asking but yea

6 0
2 years ago
Read 2 more answers
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