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Anika [276]
3 years ago
14

If the same number is subtracted from both the numerator and the denominator of 1115, the result is 35. find the number.

Mathematics
1 answer:
muminat3 years ago
7 0
 the answer is 5/12 i hope i helped.
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If f(x)=7x-7 what is f(8)+f(4)
NARA [144]

<u>Given Function is</u>

  • f ( x ) = 7x - 7 ------- eqn ( 1 )

<u>Now , put the value of x = 8 in eqn ( 1 )</u>

  • f ( 8 ) = 7 ( 8 ) - 7
  • f ( 8 ) = 56 - 7
  • f ( 8 ) = 49 ------- eqn ( 2 )

<u>Now , put the value of x = 4 in eqn ( 1 )</u>

  • f ( 4 ) = 7 ( 4 ) - 7
  • f ( 4 ) = 28 - 7
  • f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />

<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>

  • f ( 8 ) + f ( 4 )
  • 49 + 21
  • 70

Hope Helps! :)

7 0
2 years ago
If m (x) = StartFraction x + 5 Over x minus 1 EndFraction and n(x) = x – 3, which function has the same domain as (m circle n) (
Andrew [12]

Answer:

The function h (x) = StartFraction 11 Over x minus 4 EndFraction

has the domain of h (x) = ( - ∞, 4) U (4, ∞ ) which is same as the

domain of (m ∘ n)(x) = ( - ∞, 4) U (4, ∞ ).

Step-by-step explanation:

m (x) = StartFraction x + 5 Over x minus 1 and n(x) = x – 3

As m (x) could be written as:

m(x) = \frac{x+5}{x-1}

n(x) = x – 3

(m ∘ n)(x) = m(n(x)) = m(x – 3)

              = \frac{(x-3) + 5}{(x-3) - 1}

              = \frac{x+2}{x-4}

In order to find the domain of (m ∘ n)(x) = \frac{x+2}{x-4}, we need to

make sure that denominator can not be zero,

So,

     x - 4 = 0

     x = 4    

So, our domain can be anything except for 4.

Hence, Domain = D = ( - ∞, 4) U (4, ∞ )

Now, compare the domain of (m ∘ n)(x) i.e D = ( - ∞, 4) U (4, ∞ ) with all the options:

Option A: h (x) = x + 5 / 11

Option A has the Domain of h (x) = Set of all real numbers

So, Option A is false.

Option B: h (x) = 11 / x - 1

                        x - 1 = 0

                         x = 1

Option B has the domain of h (x) = ( - ∞, 1) U (1, ∞ )

So, Option B is false.

Option C: h (x) = 11 / x - 4

                        x - 4 = 0

                         x = 4

Domain C has the domain of h (x) = ( - ∞, 4) U (4, ∞ )

So, Option C is true.

Option D: h (x) = 11 / x - 3

                        x - 3 = 0

                         x = 3

Option D has the domain of h (x) = ( - ∞, 3) U (3, ∞ )

So, option D is also false.

Hence, only option C is true as the option C i.e. h (x) = StartFraction 11 Over x minus 4 EndFraction has the domain of h (x) = ( - ∞, 4) U (4, ∞ ) which is same as the domain of (m ∘ n)(x) = ( - ∞, 4) U (4, ∞ ).

keywords: Domain, composite function

Learn more about the domain of function from brainly.com/question/13020740

#learnwithBrainly

4 0
3 years ago
Read 2 more answers
Math inspection:who is right?
Pavel [41]

Answer:

I don't know

Step-by-step explanation:

6 0
3 years ago
Please help me solve this.
worty [1.4K]

Answer: 59

Step-by-step explanation:

Given

2b³+5 and b=3 ⇒ 2b³+5=2(3)³+5

Simplify exponents

 2(3)³+5

=2(3×3×3)+5

=2×27+5

Multiplication

=54+5

Addition

=59

Hope this helps!! :)

Please let me know if you have any questions

8 0
2 years ago
(Q2) Determine the eccentricity, the type of conic, and the directrix for r = 9/1+cos theta
g100num [7]

Answer:

The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix  x = 3/2

Step-by-step explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 9/(1 + 6cosФ)

∴ e = 6 ⇒ eccentricity = 6

∵ e > 1

∴ The conic is hyperbola

∵ ek = 9

∴ k = 9/6 = 3/2

∴ The directrix  x = 3/2

3 0
3 years ago
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