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3 years ago

How do u solve 4(3x-1)=9-x

Mathematics

1 answer:

Nastasia [14]3 years ago

5 0

Answer:

x = 1

Step-by-step explanation:

Well the first step is to apply the distributive property:

4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.

And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.

Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.

Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.

[If there's no number in front of a variable, you can always just put 1 in order to make it easier]

12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13

Finally, 13x = 13. Divide 13 ÷ 13 to get 1.

x = 1

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Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors

statuscvo [17]

Answer:

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19. There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19... can you spot in each list a pair of factors having a difference of 19? I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

7 0

3 years ago

Pls help me figure out the slope

cluponka [151]

Answer:

$m=\frac{-4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (2, -3)

Step 2: Find slope m

Substitute: $m=\frac{-3-1}{2+3}$
Subtract/Add: $m=\frac{-4}{5}$

7 0

3 years ago

PLEASE HELP, BRAINLIEST FOR THE BEST ANSWER

Zolol [24]

Answer:

Use the distance formula to determine the distance between the two points.

Distance

√(x2−x1)^2 + (y2−y1)^2

Substitute the actual values of the points into the distance formula.

√ ( (−6) − 0)^2 +( (−3) − 4)^2

Subtract 0 from −6

√(−6)^2 + ( ( −3 ) −4 )^2

Raise −6 to the power of 2

√36 + ( ( −3 ) −4 )^2

Subtract 4 from −3

√36 + ( −7 )^2

Raise −7 to the power of 2

√ 36 + 49

Add 36 and 49

√85

5 0

2 years ago

Find the domain and range of the function represented by the graph.

True [87]

Answer:

Step-by-step explanation:

The domain of this function is $[-4,2]$ , as it is shown in the graph that $x$ is only within this interval. The range of this function is $[-4,4]$ , as the smallest value of $y$ is -4 and the largest value of $y$ is 4, and $y$ takes every possible values between them.