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blsea [12.9K]
3 years ago
6

if a second function is defined by the formula g(x)=2x-7/3, then what is the value of g(f(1))? show the work that leads to your

answer
Mathematics
1 answer:
nydimaria [60]3 years ago
4 0
YOU NEED THE VALUE OF f(1), OR THERE IS MORE MERIT TO THE QUESTION, BUT HERE IS HOW IT WOULD BE BASED ON THE MERITS GIVEN

g(x) = 2x -  \frac{7}{3}  \\  g(f(1)) = 2(f(1)) -  \frac{7}{3} \\ g(f(1)) = (2 \times f(1)) - (  \frac{7}{3} )
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Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

5 0
3 years ago
Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
Lorico [155]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Find a polynomial f(x) of degree 3 that has the following zeros.
Thepotemich [5.8K]

Answer:

f (x) = x (x + 5) (x-9)

Step-by-step explanation:

The zeros of the polynomial are all the values of x for which the function f (x) = 0

In this case we know that the zeros are:

x = 9,\  x-9 =0

x = 0

x = -5, x + 5 = 0

Now we can write the polynomial as a product of its factors

f (x) = x (x + 5) (x-9)

Note that the polynomial is of degree 3 because the greatest exponent of the variable x that results from multiplying the factors of f (x) is 3

3 0
3 years ago
Maria's book is longer than Brandon S. The
Vlad1618 [11]

Let the length of maria's book be a and that of Brandon's be b.

So, by the question,

the difference in length of books is 56

i.e. a-b=56------(1)

and the length of books all together is 348

i.e. a+b=348------(2)

Adding (1) and (2);

(a-b)+(a+b)=56+348

or, a-b+a+b=404

or, 2a=404

or, a=202

substitutting the value of a in (2),

202+b=348

or, b=146

therefore, the length of Maria's book is 202

and the length of Brandon's book is 146.

6 0
3 years ago
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 10 unit
kozerog [31]

Answer:

Step-by-step explanation:

that the triangular prism has more volume

3 0
3 years ago
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