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maria [59]
3 years ago
13

1. Write each pair of parametric equations in rectangular form. x = t +2 y = 5t + 7

Mathematics
2 answers:
Reika [66]3 years ago
5 0
T = -2 + x
T = -7/5 + 1/5 y
hjlf3 years ago
3 0

Step-by-step explanation:

t=x-2

y=5t+7

y=5(x-2)+7

y=5x-10+7

y=5x-3 is the required equation

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Her down payment will be
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A SPHERICAL BALL HAS A DIAMETER OF 8 INCHES.THE BALL HAS A SLOW LEAK IN WHICH AIR ESCAPES AT THE RATE OF 2.5 CUBIC INCHES PER SE
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107.52 seconds for the ball to deflate.
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3 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
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mojhsa [17]

Answer: 1,250

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Also, Each student takes 2 classes a day, thus the number of classes taken by total teachers in a day = 2\times2500=5000

Also, each teacher teaches 4 classes.

Then the number of teachers in the school =\frac{5000}{4}=1250

Hence, the number of teachers are at  Big Big School = 1,250

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3 years ago
Which choice is equivalent to the expression below ? <br> 3^7.869
max2010maxim [7]
The second one:
3^7 x 3^(86/10) x 3^(9/1000)
That is because when you multiply powers with the same base ( in this case they are all 3), you just leave the base as it is and add the exponents
so it is basically 3^(7 + 86/100 + 9/1000) which is 3^7.869
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