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Inessa05 [86]
3 years ago
9

Find the gradient of the line l1 which has equation 4x-3y+5=0 .

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

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which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?
AURORKA [14]
Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…

It will have a greater effect to change a variable’s value that has a greater power on it.

Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.
3 0
3 years ago
Read 2 more answers
Simplify two to the fifth power over three to the second power
Savatey [412]
[/tex]\frac{32}{9}
This changes to a mix fraction
3 [tex] \frac{5}{9}
8 0
3 years ago
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
slamgirl [31]

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

7 0
3 years ago
A person places $686 in an investment account earning an annual rate of 3.8%, compounded continuously. Using the formula V = Pe^
kykrilka [37]

Answer:

V = $1213.03

Step-by-step explanation:

We can determine the amount of money after 15 years with the given formula:

V = Pe^{rt}   (1)

Where:

V: is the value of the account in t years =?

P: is the principal initially invested = $686                

r: is the rate of interest = 3.8% = 3.8/100 = 0.038

t: is the time = 15 years

By substituting the above values into equation (1) we have:

V = Pe^{rt} = 686*e^{(0.038*15)} = 1213.03  

               

Therefore, the amount of money is $1213.03.

I hope it helps you!  

6 0
3 years ago
Please help someone
DiKsa [7]

The first equation is x = -1

The second and third equations are no solution

The third equation is all rel numbers.


We can tell each one by solving them. In the first one, you get the following.


4 + x = -8x - 5 ----> Add 8x to both sides

4 + 9x = -5 ----> Subtract 4 from both sides

9x = -9 ----> Divide both sides by 9

x = -1


For the middle two, when you attempt to solve, you get untrue statements. This shows there are no solutions. See the example below.


7 + 2x = 2x - 7 ----> Subtract 2x from both sides

7 = -7 (UNTRUE)


And for the last one, each term cancels out, which shows that we have all real solutions.


-3x + 3 = 3( 1 - x) ----> Distribute the 3

-3x + 3 = 3 - 3x ----> Add 3x to both sides

3 = 3 (TRUE)

8 0
3 years ago
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