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scoundrel [369]
3 years ago
15

Simplify 3/x²+14x+48 divided by 3/10x+60

Mathematics
2 answers:
stira [4]3 years ago
8 0
C. 10/x+8
The easy way to do it would be to take it one step at a time.
Alenkasestr [34]3 years ago
3 0

Answer with Step-by-step explanation:

3/x²+14x+48 divided by 3/10x+60 is equal to

\dfrac{3/x^2+14x+48}{3/10x+60}

=\dfrac{3\times (10x+60)}{3\times (x^2+14x+48)}

=\dfrac{10x+60}{x^2+14x+48}

=

\dfrac{10x+60}{x^2+6x+8x+48}\\ \\=\dfrac{10x+60}{x(x+6)+8(x+6)}\\ \\=\dfrac{10(x+6)}{(x+6)(x+8)}\\ \\=\dfrac{10}{x+8}

Hence, Correct option is:

C- 10/(x+8)

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Find the slope and y-intercept of the line x+3y=3...
katovenus [111]
So first put this in slope intercept form, y=mx+b. subtract x from both sides so now you have 3y=-x+3 and to get y by itself divide both sides by 3 so now you have y=(-x/3) +1 or y=-1/3(x)+1 the slope is m and the y-intercept is b so the slope is -1/3 and the y-intercept is 1
4 0
3 years ago
Help me please thank you
Nookie1986 [14]

Answer: exponential

Step-by-step explanation:

its exponential

count the squares in each one

first is 2 squares

second is 4 squares

third is 8 squares

this is going up exponentially because the first one would be 2^1 the second would be 2^2 and the third would be 2^3

8 0
3 years ago
Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.
anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072,  0 < Ф < 2 π,   tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

  Calculate hypotenuse

  c² = a² + b²

  c² = 1.072² + 1²

  c² = 2.149

  hypotenuse = c = 1.466

First quadrangle

  sin Ф = 1.072 / 1.466 = 0.731

  cos Ф = 1 / 1.466 = 0.682

Third quadrangle

  sin Ф = -1.072 / 1.466 = -0.731

  cos Ф = -1 / 1.466 = -0.682

5 0
3 years ago
Please help me with the correct answer
Sergio [31]
-1,1,3,5,and 7 in that order
4 0
3 years ago
Can SOMEONE HELP ME with this PLEASE!!!!
makkiz [27]

Answer:

12.4

Step-by-step explanation:

The distance between (7,21) and (-5,18)

d =sqrt( (-5-7)^2 + (18-21)^2)

  = sqrt(( -12)^2 + (-3)^2)

  = sqrt(144+9)

  = sqrt(153)

  =12.36931688

To the nearest tenth

12.4

6 0
3 years ago
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