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3 years ago

Determine the amplitude of the following function:y=−4/5tan(−4x)

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

∞

Step-by-step explanation:

In many instances, the term "amplitude" is used to refer to half the range. The range of any tangent function is (-∞, ∞), so its amplitude is ∞ regardless of any multiplier or offset.

Perhaps you're expected to say the absolute value of the coefficient of the trig function. In that case, the "amplitude" is 4/5.

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Add and simplify: 9/16 + 1/2=?

tamaranim1 [39]

1 1/16 is it's simplest form.

4 0

3 years ago

WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

6 0

3 years ago

Simplify the product using FOIL. (3x + 4)(2x – 6)

Arturiano [62]

Answer:

6x^2 - 10x - 24

Step-by-step explanation:

Do 3x times 2x which is 6x^2
Do 3x times - 6 which is -18x
Do 4 times 2x which is 8x
Do 4 times - 6 which is - 24
You get 6x^2 - 18x + 8x - 24
Simplyify to get the answer

5 0

4 years ago

Read 2 more answers

Suppose that a simulation with a six-sided number cube provided these results during testing.

lyudmila [28]

Theoretical probability:
1 ... (16 and 2/3) %
2 ... (16 and 2/3) %
3 ... (16 and 2/3) %
4 ... (16 and 2/3) %
5 ... (16 and 2/3) %
6 ... (16 and 2/3) %

Experimental results:
1 ... 18
2 ... 16
3 ... 16
4 ... 17
5 ... 16
6 ... 17

The total number of rolls in the experiment was

(18 + 16 + 16 + 17 + 16 + 17) = 100

so the expected frequency for each outcome was 16-2/3 times,
and the SIMULATION probabilities were

1 ... 18%
2 ... 16%
3 ... 16%
4 ... 17%
5 ... 16%
6 ... 17%

To me, this looks fantastically close. The cube
could hardly be more fair than it actually is.

8 0

3 years ago

Change this radical to an algebraic expression with fractional exponents.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bb%7D"

vovangra [49]

Answer:

is there options for the answer?

4 0

3 years ago