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nata0808 [166]
3 years ago
7

Determine the gradient and the y-intersect point of:

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

gradient:

3x+2y=5

3(1)+2dy/dx=0

3+2dy/dx=0

2dy/dx=-3

dy/dx=-3/2.

y-intersect:

3x+2y=5

2y=5-3x

y=5-3x/2

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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Alenkinab [10]

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

7 0
3 years ago
Read 2 more answers
The answer using Pythagorean theorem
OverLord2011 [107]

Answer: 12.32 is the answer.


Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152                                                                                                                                                            

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!


5 0
3 years ago
H(n)=-2n^2+4; find h(4)
IceJOKER [234]

Answer: h(4) = 36

Step-by-step explanation:

All you have to do is plug in 4 to the equation.

So, h(4) = 2(4)^2+4

=2(16)+4

=32+4

=36

5 0
3 years ago
Please help with the question!
MAVERICK [17]

Answer:

68.2275604137

Step-by-step explanation:

you can round down

I hope this helps

8 0
3 years ago
Solve the system of equations below by graphing.
AleksandrR [38]
I think it would be B hope it helps
5 0
4 years ago
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