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aleksklad [387]
3 years ago
5

I will give brainlest and 75 points

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

3

4

2

1

Step-by-step explanation

3.2x+5.7=2.5x. X=-8.142857

10.1x-1.6x+44=-7 x=-6

7.9x+x+4=1.1x-16 x=-2.564103

1/4x+5/2x-2=4-1/4x x=2

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What is the slope of the line passing through the points (-3,4) and (4,-1)
Serhud [2]

Answer:

slope = - \frac{5}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)

m = \frac{-1-4}{4+3} = - \frac{5}{7}

8 0
3 years ago
What is the greatest common factor of 3 and 27?
Drupady [299]

Answer:

3

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

8 0
3 years ago
Read 2 more answers
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

7 0
3 years ago
Find the points on the curve y = 2x3 + 3x2 − 12x + 6 where the tangent line is horizontal.
Orlov [11]
N.b., this is copied from an answer I wrote for someone else.

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

y'=6x^2+6x-12

Next, find the zeros of y' by factoring.

6(x^2+x-2)=0 \\ x = -2, x = 1

Now, we substitute these x-values into the original equation to find the coordinates. 

(-2,21), (1,-6)
3 0
3 years ago
How can you determine if you need to use a combination or permutation to count the number of outcomes? Which will usually have m
Nadya [2.5K]

Answer with Step-by-step explanation:

Permutation : It is an arrangement of r elements out of n elements.

Combination : it is a selection of r element out of n elements .

Suppose we have a set

S={1,2,3}

If two elements are taken at a time then

Using permutation formula

Total number of outcomes=3P_2

Total number of outcomes=\frac{3!}{(3-2)!}

Total number of outcomes=3!=3\times 2\times1=6

Using combination formula

\binom{n}{r}=\frac{n!}{r!(n-r)!}

Total number of outcomes=\binom{3}{2}=\frac{3!}{2!1!}

Total number of outcomes=\frac{3\times2!}{2!}

Hence, total number of outcomes=3

Total number of outcomes determined by permutation have more outcomes.

Because permutation is an arrangement of elements  therefore, it consider order of arrangement of element   but combination is a selection of elements it does no consider order of elements

Arrangements of two elements out of 3 elements

{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}

By using combination if two elements taken at a time then combination

{1,2},{2,3},{1,3}

4 0
3 years ago
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