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3 years ago

Expand the expression using the distributive property: 6(4x + 5y + 2)

Mathematics

1 answer:

Oksanka [162]3 years ago

5 0

Answer:

24 x + 30 y + 12

Step-by-step explanation:

this is simplified

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What number can be decomposed to 3x3x5x7

jonny [76]

280 would be the answer

8 0

3 years ago

Read 2 more answers

2x – 3 > -4x + 2 What is the solution to the inequality

bagirrra123 [75]

Answer:

$x>\frac{5}{6}$

Step-by-step explanation:

$2x-3>-4x+2$

Add 3 to both sides

$2x-3+3>-4x+2+3$

Simplify

$2x>-4x+5$

Add $4x$ to both sides

$2x+4x>-4x+5+4x$

Simplify

$6x>5$

Divide both sides by 6

$\frac{6x}{6} >\frac{5}{6}$

Simplify

$x>\frac{5}{6}$

4 0

3 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago

Evaluate the function: f(-x)=x^2+9x-6

astraxan [27]

Answer:

f(-x) = x² - 9x - 6

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notations

Step-by-step explanation:

Step 1: Define

Identify.

f(x) = x² + 9x - 6

Step 2: Evaluate

Substitute in x [Function f(x)]: f(-x) = (-x)² + 9(-x) - 6
[Order of Operations] Simplify: f(-x) = x² - 9x - 6

4 0

2 years ago

An equation of the line with a slope of 2 and y-intercept of 9

7nadin3 [17]

Answer:

y = 2x + 9

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 2

y-intercept b = 9

Step 2: Write linear equation

Slope-Intercept Form: y = 2x + 9

3 0

3 years ago