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Neporo4naja [7]
4 years ago
10

Can you show me the working out for the first list and give me the answers in the simplest forms for the second one

Mathematics
1 answer:
BabaBlast [244]4 years ago
5 0
Sorry about my handwriting...
And I couldn't see thing whole thing...

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Evaluate the expression: Tan(14pi/3)
vichka [17]
\tan\dfrac{14\pi}3=\tan\dfrac{2\pi}3=-\sqrt3
6 0
4 years ago
25% of what number is 137
Elina [12.6K]

Answer:

548

Step-by-step explanation:

1) Divide 137 by 0.25 (25%)

137/0.25 = 548.

To check, find 25% of 548.

(548 x 25)/100 = 137

7 0
3 years ago
Read 2 more answers
Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
lawyer [7]

Answer:

f(x) = 3x + 8 is the required linear function.

Step-by-step explanation:

We know that the slope-intercept form of linear equation is

y  = mx+b

here

  • m is the slope of the line, and
  • b is the y-intercept

Given initial value

f(0) = 8

  • Meaning at x = 0, y = 8

Thus, the y-intercept = b = 8

Also given

at x = 4, f(4) = 20

  • Meaning at x=4, y = 20

so

substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope

y = mx+b                        

20 = m(4) + 8

20 = 4m + 8

4m = 20-8

4m = 12

Dividing both sides by 4

m = 3

Thus, the slope = m = 3

Now, substituting m = 3 and b = 8 in the slope-intercept of linear function

y = mx+b

y = 3x + 8

or

f(x) = 3x + 8

Thus,

f(x) = 3x + 8 is the required linear function.

VERIFICATION:

Given the linear function

f(x) = 3x + 8

plug in x = 0

f(0) = 3(0) + 8

f(0) = 8

plug in x = 4

f(x) = 3x + 8

f(4) = 3(4) + 8

f(4) = 12+8

f(4) = 20

8 0
3 years ago
Observe the graph below.<br> The graph shows a<br> function that is asymptotic to
JulijaS [17]
We have to see the graph to what the answer is. Sorry I wish I could help!
4 0
3 years ago
Can someone please help me with this question?
Fynjy0 [20]

Answer:

\frac{2x}{x+5}

Step-by-step explanation:

We are given a function for f and g, and are asked to find f/g.

We know f = 4x^2 + 6x and g = 2x^2 + 13x + 15

Simply put function of f over g.

\frac{4x^2+6x}{2x^2+13x+15}

Factor:

\frac{2x(2x+3)}{(2x+3)(x+5)}

Since both numerator and denominator have 2x + 3, we can cancel them out.

\frac{2x}{x+5} is our answer.

4 0
3 years ago
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