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3 years ago

C. 3x-7=2x-5 solve for x, simplify

Mathematics

2 answers:

Svet_ta [14]3 years ago

6 0

Answer:

x=2

Step-by-step explanation:

addition property of equality is adding the same number to both sides of an equation does not change the equation.

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

distributive property: a(b+c)=ab+ac

add 7 both sides of an equation.

3x-7+7=2x-5+7

simplify.

3x=2x+2

subtract 2x both sides of an equation.

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

simplify.

x=2

Hope this helps!

Thanks!

igomit [66]3 years ago

4 0

3x - 7 = 2x - 5 add 7 to both sides

3x = 2x + 2 subtract 2x from borh sides

Check:

L = 3(2) - 7 = 6 - 7 = -1

R = 2(2) - 5 = 4 - 5 = -1

L = R CORRECT! :)

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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop

Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_1$ , $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m= $\frac{-5--3}{-2--1}$

simplify

m= $\frac{-5+3}{-2+1}$

add

m= $\frac{-2}{-1}$

divide

m=2

So the slope is 2

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

-1=b (the value of the y intercept!)

Substitute -1 as b into the equation

y=2x-1

We found everything needed for this problem

Hope this helps!

8 0

3 years ago

3x^2+42x+105=0 Find the solution 0 0

Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

3x2 + 45x - 7x + 105

3x( x + 15) - 7(x - 15)

(3x - 7) and ( x - 15) are the factors

There is a problem please recheck the question

6 0

3 years ago

Which angle below is another name for ZABC?

Liula [17]

Answer is none of these

5 0

3 years ago

The polynomial p(x)=x^3-19x-30 has a known factor of (x+2)

riadik2000 [5.3K]

Answer:

(x+2) (x+3) (x-5)

Step-by-step explanation:

x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)

x³ + 0*x² - 19x -30 = x³ + (2+a)x² + (2a-15)x -30

2+a = 0

a = -2

x³-19x-30 = (x+2) (x²-2x-15) = (x+2) (x+3) (x-5)

8 0

3 years ago

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Is this relation a function by using straight line test

Drupady [299]

Answer:

Step-by-step explanation:

Graph all points. They do not make a line.

6 0

3 years ago