Factor the expression 26x + 13

What is the answer of the problem; 3x-4+2(x-5)=9x+8-2x

alexgriva [62]

Answer:

The answer to the given problem $3x-4+2(x-5)=9x+8-2x$ is x=-11

Step-by-step explanation:

Given problem is $3x-4+2(x-5)=9x+8-2x$

To solve the equation:

$3x-4+2(x-5)=9x+8-2x$

$3x-4+2x-10=9x+8-2x$ (multiplying the term with factor)

$5x-4-10=7x+8$ (adding the like terms)

$5x-14=7x+8$ (adding the like terms)

Now taking the terms to one side

$5x-14-7x-8=0$

$-2x-22=0$ (adding the like terms)

$-2x=22$

$-x=\frac{22}{2}$

$-x=11$

x=-11

Therefore x=-11

The answer to the given problem $3x-4+2(x-5)=9x+8-2x$ is x=-11

5 0

3 years ago

-2.3 in simplest form

Vaselesa [24]

Answer:

-23/10 or-2 3/10

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

1

number to the right of the decimal point, place the decimal number over

10

1

(

10

)

. Next, add the whole number to the left of the decimal.

−

2

3

10

6 0

3 years ago

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A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Leya [2.2K]

Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).

First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."

5x+4y=2

-5x -5x (subtract 5x from both sides to move it to the right side of your equation)

4y = 2 - 5x

/4 /4 /4 (divide all the terms by 4 to get "y" by itself)

y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.

Now, we know that our slope, m , is going to be -(5/4).

Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:

y = 5

m = -(5/4)

x = 7

y=mx+b

5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.

5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4

20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)

+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b

55/4 = b ... or b = 13.74

Answer:

m = -(5/4)

b = 13.75

7 0

2 years ago

Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

Solve the following automotive-services problems based on the examples shown previously. Choose the correct answer.

Radda [10]

Transmission must be in third gear as both are running at the same speed ! so third gear !!!

7 0

3 years ago

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