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Katarina [22]
3 years ago
11

Is there a way to come to the answer that

tle="\frac{4x+14}{x+3}" alt="\frac{4x+14}{x+3}" align="absmiddle" class="latex-formula"> is equivalent to \frac{2}{x+3}+4 just using methods to look at transformations? Not using other methods like partial fractions or anything.
Mathematics
1 answer:
babymother [125]3 years ago
4 0

You can use a bit algebraic manipulation like so

(4x+14)/(x+3)

(4x+12 + 2)/(x+3)

((4x+12) + 2)/(x+3)

(4(x+3) + 2)/(x+3)

4(x+3)/(x+3) + 2/(x+3)

4 + 2/(x+3)

2/(x+3) + 4

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Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test s
Ivan

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.

6 0
3 years ago
Select the solution for the system of linear equations y=3x+4 and y=x+2
Oduvanchick [21]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = x + 2 → (2)

Substitute y = 3x + 4 into (2)

3x + 4 = x + 2 ( subtract x from both sides )

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting x = - 1 into (2)

y = - 1 + 2 = 1

Solution is (- 1, 1 )

3 0
3 years ago
Read 2 more answers
Convert the following angle from degrees to radians. Express your answer in simplest form. 435^
Vitek1552 [10]

Answer:

29π/12.

Step-by-step explanation:

Multiply by π/180

= 435π/180

= 29π/12 radians.

5 0
3 years ago
Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions.
Elanso [62]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=x^{3}-5x^{2}+5x-1

using a graphing tool  

see the attached figure

The local maximum is the point (0.61.0.42)

The local minimum is the point (2.72,-4.27)

The zeros of the function are (0.27,0), (1,0), (3.73,0)

6 0
4 years ago
9 out of 45 apples are red.the situation is looking for the (part, whole, percent)
erastovalidia [21]
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8 0
3 years ago
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