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3 years ago

Solve for x: 3x - 3 - 6x = 12

Mathematics

2 answers:

fredd [130]3 years ago

7 0

Answer:

x = -5

Step-by-step explanation:

Collect terms:

-3x -3 = 12

Divide by -3:

x +1 = -4

Subtract 1:

x = -5

_____

The more conventional solution method would be to save the division by -3 until the end. The second step could be to add 3 to both sides. Then you would have ...

-3x = 15

and dividing by -3 would give the same answer.

Natalka [10]3 years ago

3 0

Answer:

x = - 5

Step-by-step explanation:

3x - 3 - 6x = 12

group like terms

3x - 6x - 3 = 12

add similar elements

- 3x - 3 = 12

add 3 to both sides

- 3x - 3 + 3 = 12 + 3

simplify

- 3x = 15

divide both sides by 3

- 3x / 5 = 15 / - 3

simplify

x = - 5

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

3 0

2 years ago

Complete the solution of the equation. Find the value of y when x equals -4 x + 3y = 14

NeX [460]

Move all terms that don't contain y to the right side and solve.
y = - x/3 + 14/3
Hope this helps! :)

6 0

2 years ago

If f(x)=x2+10sinx, show that there is a number c such that f(c)=1000.

gayaneshka [121]

F(x) is continuous for all x.

Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.

At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.

Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0

Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40

7 0

3 years ago

20 Is 80 percent of what number? A 21 В 22 С 24 D 25

gogolik [260]

Answer:

D. 25

Step-by-step explanation:

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