All categories

3 years ago

Solve. 6x−13=2x+7 2 3 5 6

Mathematics

2 answers:

just olya [345]3 years ago

8 0

Answer:

Step-by-step explanation:

6x−13=2x+7

Inverse operation:

6x into a negative then subtract it by 2x

2x - 6x = -4

Change 7 into a negative then subtract it by -13

-13 - 7 = -20

-20 = -4x

Divide:

-20 = -4x

_______

-4 -4

-20/-4 = 5

Answer:

5 = x or x = 5

inessss [21]3 years ago

5 0

Answer: x = 5

Step-by-step explanation:To solve this you first need to collect the like terms 6x-2x=7+3. Add those 4x=20. After that you need to divide both sides. Then you will get you solution.

You might be interested in

Graphing Natural Exponential Functions In Exercise,sketch the graph of the function.See Example 1.

serg [7]

Answer:

See the graph and explanation below.

Step-by-step explanation:

For this case we have the following function:

$f(x) = e^{1-x}$

We can calculate some points in order to see the tendency of the graph, we can select a set of points for example $x =-2,-1.5,-1,0,1,1,5,2$ and we can calculate the values for f(x) like this

x=-2

$f(x=-2) =e^{1+2}= e^{3}=20.086$

x=-1.5

$f(x=-1.5) =e^{1+1.5}= e^{2.5}=12.182$

x=-1

$f(x=-1) =e^{1+1}= e^{2}=7.389$

x=0

$f(x=0) =e^{1-0}= e^{1}=2.718$

This point correspond to the y intercept.

x=1

$f(x=1) =e^{1-1}= e^{0}=1$

x=2

$f(x=2) =e^{1-2}= e^{-1}=0.368$

We don't have x intercepts for this case since the functionnever crosses the x axis.

And then we can see the plot on the figure attached.

5 0

3 years ago

Round off 2371 +1625 to the nearest hundred

riadik2000 [5.3K]

Answer:

2000 + 2000 = 4000

Step-by-step explanation:

2371 is rounded to 2000

1625 is rounded to 2000

2000 + 2000 = 4000

Hope this helps!

6 0

3 years ago

Read 2 more answers

What is 5.151515 to 2 decimal places

Citrus2011 [14]

Answer:

5.15

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range. a. The vertex is (–2, 4), the domain is all real n

12345 [234]

$f(x)=a(x-h)^2+k \Rightarrow \text{vertex}=(h,k)\\\\
f(x)=(x-2)^2+4 \Rightarrow \text{vertex}=(2,4)$

The range of $f(x)=a(x-h)^2+k$ is
$y\leq k$ for $a$
$y\geq k$ for $a>0$

The domain of any quadratic function is all real numbers.

In $f(x)=(x-2)^2+4$ , $a=1\ \textgreater \ 0$ , so the range is $y\geq4$

So it's D.

7 0

3 years ago

]Which statements are true? Check all that apply.

Nikolay [14]

The correct answers are:

1. The equation |-x -4| = 8 will have two solutions. (True)

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

<h3>What is Equation?</h3>

An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.

1. The equation |-x -4| = 8 will have two solutions. (True)

|-x - 4| = 8

-x -4 = ±8

-x -4 = 8 and -x -4 = -8

-x = 8 + 4 and -x = -8 + 4

-x = 12 and -x = -4

x = -12 and x = 4

Therefore, it has two solutions x ∈ {-12, 4}

2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)

|(1/2)x - 3/4| = 0

(1/2)x - 3/4 = ±0

Since ±0 is the same

(1/2)x = 3/4

x = 2X3/4

x = 3/2

Therefore, it has one solution x = 3/2

4. The equation |2x – 10| = –20 will have two solutions. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

|0.5x – 0.75| + 4.6 = 0.25

|0.5x – 0.75| = 0.25 - 4.6

|0.5x – 0.75| = -4.35

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)

|(1/8)x - 1| = 5

(1/8)x - 1 = ±5

(1/8)x - 1 = 5 and (1/8)x - 1 = -5

(1/8)x = 5 + 1 and (1/8)x = -5 + 1

(1/8)x = 6 and (1/8)x = -4

x = 6X8 and x = -4X8

x = 48 and x = -32

Thus, it has two solutions x ∈ {48, -32}

Learn more about Equations from:

brainly.com/question/10413253

#SPJ1

8 0

2 years ago