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IRINA_888 [86]
3 years ago
13

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Mathematics
1 answer:
Rasek [7]3 years ago
4 0
Really you just need to plug in each one. So 4 plugged into x in the equation comes out to be 87. And if you plug in 7 it comes out to be 93. so if you take 93 subtract 87 from it, it comes to be 6. and if you take 7 and subtract 4 from it you get 3. So when we plug it in it doubles. So the average rate of change(slope) is 2. because 6/3=2. Average rate of change is the exact same thing as slope.

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Find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8
xz_007 [3.2K]

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

3 0
3 years ago
Read 2 more answers
Help me answer this please
Leno4ka [110]

Answer:

y=38 °

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Can someone please check this I'm not sure if it's y=126 or is the 126 negative
timurjin [86]
So to solve for y, subtract 108 from each side.
The equation becomes -y=126

Since you don't want y to be negative then divide each side by -1 this will flip all of the signs (positives become negative and vice versa) without changing the number.

So the equation is now y= -126
6 0
3 years ago
Solve this and get 20 points
VikaD [51]

take x =initial deposit amount. then make equation:

x+75.5+55.25-25.15-18.65 = 210.85

simplify:

x+86.95 = 210.85

x=210.85 - 86.95

x=123.90

so Initial deposit amount is $123.90

check:  210.85+18.65+25.15-55.25-75.5 = 123.9

123.9 = 123.9

4 0
3 years ago
Write the first trigonometric function in terms of the second for θ in the given quadrant.
Vinvika [58]
Sintheta,costheta,tantheta are only positive in quadrant 1
sintheta is only positive in quad2
tantheta is only positive in quad3
costheta is only positive in quad4
8 0
3 years ago
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