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3 years ago

What is 6(3x - 4) = -8

Mathematics

2 answers:

Ludmilka [50]3 years ago

8 0

Answer:

x = 8/9

Step-by-step explanation:

6(3x - 4) = -8

Distribute the 6

18x -24 = -8

Add 24 to each side

18x -24+24 = -8+24

18x = 16

Divide each side by 18

18x/18 =16/18

Simplify the fraction by dividing top and bottom by 2

x = 8/9

Kitty [74]3 years ago

6 0

Answer:

$\frac{8}{9}$

Step-by-step explanation:

6(3x - 4) = -8 ⇔ 18x - 24 = -8 ⇔ 18x = 16 ⇔ x = 16/18 = 8/9

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Graph the line with a slope of 2/5 that goes through (3,1)

Triss [41]

Answer:

$y = \dfrac{2x}{5} - \dfrac{1}{5}$

Step-by-step explanation:

Given:

$\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)$

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

$:\implies y - 1 = \dfrac{2}{5} (x - 3)$

Simplify the R.H.S:

$:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}$

Add 1 both sides:

$:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1$

Simplify the equation:

$:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}$

$:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}$

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept $[\bold{\frac{-1}{5} }]$ on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

5 0

2 years ago

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Is the following number rational or irrational? 9.0 A: rational B: Irrational

Lelu [443]

Answer:

Rational

Explanation:

9 is a Rational Number

5 0

2 years ago

Given tanθ = 8, find csc(θ)

In-s [12.5K]

Cosecθ=sq.rt of 65/8. hope it will help you

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3 years ago

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Consider the following geometric sequence. 2, 6, 18, 54,

Kaylis [27]

Answer:

The rule or operation in this sequence is multiplication by 3.

Step-by-step explanation:

2*3=6

6*3=18

18*3=54

and so on...

7 0

3 years ago

What is the inverse of x^2-4x+5

lisabon 2012 [21]

we are given

$f(x)=x^2-4x+5$

Since, we have to find inverse of this function

step-1: we set f(x)=y

$y=x^2-4x+5$

step-2: switch x and y

$x=y^2-4y+5$

step-3: Solve for y

$y^2-4y+(5-x)=0$

now, we can use quadratic formula

$y=\frac{4+\sqrt{4^2-4(5-x)} }{2}$

$f^{-1}(x)=\sqrt{x-1}+2$

$f^{-1}(x)=-\sqrt{x-1}+2$ ..............Answer

6 0

3 years ago