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Tamiku [17]
3 years ago
13

The graph represents function 1, and the equation represents function 2: Function 1 A coordinate plane graph is shown. A horizon

tal line is graphed passing through the y-axis at y = 4. Function 2 y = 8x + 12 How much more is the rate of change of function 2 than the rate of change of function 1?
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0
The horizontal line at y=4 doesn't have any slope, so the answer should be relatively easy to find.  It's just the slope of Function 2.

y = 8x + 12 is the function for Function 2.  8x is the important part.

So the rate of change differing from both functions is 8.
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To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati
murzikaleks [220]

Answer:

x-4y+4=0

f(x)=\sqrt x and x=4

Step-by-step explanation:

We are given that a curve

y=\sqrt x

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}

By using the formula \frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}

Substitute x=4

Slope of tangent

m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}

In given question

m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}

\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}

By comparing we get a=4

Point-slope form

y-y_1=m(x-x_1)

Using the formula

The equation of tangent at point (4,2)

y-2=\frac{1}{4}(x-4)

4y-8=x-4

x-4y-4+8=0

x-4y+4=0

8 0
3 years ago
Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine
Arte-miy333 [17]
X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
3x + 2y + 2z = 39,000
these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
2x + 2z = 22,000

x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000

2x + 2z = 22,000
2(9000) + 2z = 22000
18,000 + 2z = 22000
2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
9000 + y + 2000 = 15,000
11,000 + y = 15,000
y = 15,000 - 11,000
y = 4,000

first venture (x) = 9,000 <==
second venture (y) = 4,000 <==
third venture (z) = 2,000 <==
7 0
3 years ago
Read 2 more answers
54*8+6+14= what's the answer
dybincka [34]
<span>54*8+6+14
Multiply 54 by 8
432 + 6 + 14
Add 6 to 432
438+14
Add
Final Answer: 452

</span>
5 0
3 years ago
Simplify the expression:<br> (2p + 1)(2) =
Oxana [17]

Answer:

4p +2

Step-by-step explanation:

(2p + 1)(2)

Distribute

2p * 2 + 1*2

4p +2

5 0
3 years ago
Read 2 more answers
I need help this is due by 3pm!!!!! multiplying fractions,brainly if correct.
Oxana [17]

Answer:

2 3/4

Step-by-step explanation:

5 0
2 years ago
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