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2 years ago

What is the answer to 4n-2n=4

Mathematics

2 answers:

artcher [175]2 years ago

5 0

Answer: n=2

Step-by-step explanation: 4n-2n=4

4(2)-2(2)=

8-4=4

11Alexandr11 [23.1K]2 years ago

3 0

Answer:

n=2

Step-by-step explanation:

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*n-2*n-(4)=0

Step by step solution :

STEP

Pulling out like terms

1.1 Pull out like factors :

2n - 4 = 2 • (n - 2)

Equation at the end of step

STEP

Equations which are never true

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : n-2 = 0

Add 2 to both sides of the equation :

n = 2

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write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

3 0

2 years ago

Louisa has eight chapters of a book left to read. if she reads two-thirds of a chapter each day, how many days will it take her

Margaret [11]

It will take her 12 days

7 0

2 years ago

2y = 4x - 8 <br>3x + 2y = 6<br>graph

Vinvika [58]

Answer:

see attached

Step-by-step explanation:

I find it convenient to let a graphing calculator draw the graph (attached).

If you're drawing the graph by hand, there are a couple of strategies that can be useful.

The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:

y = 2x -4

This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.

The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...

x/2 +y/3 = 1

The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:

0 +2y = 6

y = 6/2 = 3

and set y=0 to find the x-intercept

3x +0 = 6

x = 6/3 = 2

Plot the intercepts and draw the line through them for the graph of this equation.

___

Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.

8 0

2 years ago

Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

PtichkaEL [24]

Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)

=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.

8 0

2 years ago

The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,

choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0

2 years ago