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Art [367]
3 years ago
8

3(6k+5)+3(6k+4 The expression has to be equivalent.

Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0
Hey
I’m not sure that’s correct, but here it is!

romanna [79]3 years ago
5 0

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

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Which equation has a graph that passes through the points at (0,5) and (-3,-4)?
Roman55 [17]

Answer:

y = 3x + 5

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}.

So, in our case (x_{1},y_{1}) ≡ (0,5) and (x_{2},y_{2}) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}

⇒ y - 5 = \frac{9}{3}x

⇒y = 3x + 5 (Answer)

4 0
3 years ago
What is the equation of the line that is parallel to the line y=2x+3 and passes through the point (-2,1)
Lerok [7]

Answer:

y= 2x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence m=2.

Subst. m=2 into the equation:

y=2x +c

Now substitute a coordinate.

When x= -2, y=1,

1= 2(-2) +c

1= -4 +c

c= 1 +4

c=5

Thus, the equation of the line is y= 2x +5.

3 0
3 years ago
Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
jeyben [28]
The given expression is:

f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\  \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x}      \\  \\ 
f(x)=  \frac{1}{2}(9)^{x}

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)
4 0
3 years ago
Read 2 more answers
What is the science of collecting,organizing,analyzing,and interpreting data?
Veseljchak [2.6K]

Answer:

statistics

Step-by-step explanation:

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7 0
3 years ago
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Definitely confused..........
kirill [66]
Well how do you think i feel ?
3 0
3 years ago
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