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2 years ago

Solve the equation 4(2x – 1) + 8 = 4x + 24. Factor out the greatest common factor, then solve.

Mathematics

2 answers:

Sonbull [250]2 years ago

6 0

Answer:

x=5

Step-by-step explanation:

4(2x – 1) + 8 = 4x + 24.

Factor out a 4 from each side

4{ 2x-1 +2} = 4(x+6)

Cancel the 4 on each side

2x-1+2 = x+6

Combine like terms

2x+1 = x+6

Subtract x from each side

2x+1-x = x+6-x

x+1 = 6

Subtract 1 from each side

x+1-1 = 6-1

x = 5

DedPeter [7]2 years ago

4 0

Answer:

Step-by-step explanation:

divide everything by 4

=(2x-1) +2 = x + 6

regroup

=2x = x + 5

x = 5

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Find the solutions to 6x^2- 54x = 0

Nina [5.8K]

Answer:

A. x = 9

D. x = 0

Step-by-step explanation:

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$6x^{2} -54x=0$

$a=6\\b=-54\\c=0$

substitute in the formula

$x=\frac{-(-54)(+/-)\sqrt{-54^{2}-4(6)(0)}} {2(6)}$

$x=\frac{54(+/-)54} {12}$

$x=\frac{54(+)54} {12}=9$

$x=\frac{54(-)54} {12}=0$

therefore

The solutions are x=0 and x=9

4 0

3 years ago

Can someone explain this I dont understand it

IrinaVladis [17]

Y = mx + b

m is your slope AKA rate of change
b is the y intercept.

from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)

slope is rate of change. to figure this out remember slope = rise over run:

$slope = \frac{rise}{run}$

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1

Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2

Now plug these numbers into the rise over run formula:

$slope \: = \frac{1}{2}$

Now we have everything we need to put into our formula for a line:

$y = mx + b$
$y = \frac{1}{2} x + 18$

For number 16 you should get:

$y = \frac{1}{5} x + 3$

after you do the same steps again yourself

8 0

3 years ago

Which symbol makes this statement true? 0.35 ____ 1/4<br> <, >, =

alekssr [168]

Answer:

Step-by-step explanation:

if you change 1/4 into a decimal, it turns into 0.25. So 0.35 is greater than 0.25

4 0

2 years ago

The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c

mixer [17]

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled. This is the slope or m.

So the equation is d = 56h + 412.

7 0

2 years ago

Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss

Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

7 0

3 years ago