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3 years ago

Choose the graph of the inequality's solution. -4x + 8 > 12

Mathematics

1 answer:

alexandr402 [8]3 years ago

4 0

Answer:

$x < - 1$

You should have a circle on -1 with the arrow going left

Step-by-step explanation:

Subtract 8 from both sides.

$- 4x + 8 > 12 \\ - 8 \: \: \: \: - 8$

$- 4x > 4$

Divide by -4

$\frac{ - 4x}{ - 4} > \frac{4}{ - 4}$

Since you are dividing by a negative, you need to flip the inequality.

$x < - 1$

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Find the 30th term of the following sequence. 1, 7, 13, 19,.. 174. 175. 180. 181.

shepuryov [24]

The first term a = 1,

Common difference, d: 7 - 1 = 6.

a(n) = a + (n -1)d,

For 30th term. = 1 + (30 -1)*6

= 1 + 29*6 = 1 + 174 = 175

8 0

4 years ago

La familia Sánchez Olguín, quiere terminar de construir su casa y necesita S/.25000 para todos los gastos del acabado de la casa

erastova [34]

Extraemos los datos del problema:

Capital Inicial → C₀ = S/.25000
Interés bimestral → i = 8 % = 0.08
Periodos → n = 3

<h2 /><h2>Bimestre 1:</h2>

Capital Inicial Bimestre → C = S/.25000

Tasa de interés bimestral:

I = C×i

I = S/.25000 × 0.08

I = S/.2000

Monto final:

M = C + I

M = S/.25000 + S/.2000

M = S/.27000

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 27000 - 25000) / 25000

% = 8

<h2>Bimestre 2:</h2>

Capital Inicial Bimestre → C = S/.27000

Tasa de interés bimestral:

I = C×i

I = S/.27000 × 0.08

I = S/.2160

Monto final:

M = C + I

M = S/.27000 + S/.2160

M = S/.29160

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 29160 - 25000) / 25000

% = 16.64

<h2>Bimestre 3:</h2>

Capital Inicial Bimestre → C = S/.29160

Tasa de interés bimestral:

I = C×i

I = S/.29160 × 0.08

I = S/.2332.8

Monto final:

M = C + I

M = S/.29160 + S/.2332.8

M = S/ 31492.8

Variación Porcentual:

% = (M - C₀) / C₀

% = ( 31492.8 - 25000) / 25000

% = 25.97

7 0

3 years ago

Find the arithmetic mean of the sales per day in a fair price shop in a week.

BabaBlast [244]

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

4 0

3 years ago

Read 2 more answers

What is the equation that the line goes through (1,-2) and is parallel to y=3x-3?

scZoUnD [109]

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

5 0

3 years ago

Decide whether the pair of lines is parallel, perpendicular, or neither.

maw [93]

The lines are: B) Perpendicular

Step-by-step explanation:

we have to convert both lines in slope-intercept form to find slopes

So,

$3x - 6y = -13\\-6y = -3x-13\\\frac{-6y}{-6} = \frac{-3x-13}{-6}\\\frac{-6y}{-6} = \frac{-3x}{-6}+\frac{-13}{-6}\\y = \frac{1}{2} +\frac{13}{6}$

Let m1 be the slope of first line

$m_1 = \frac{1}{2}$

For the second line:

$18x + 9y = 5\\9y = -18x+5\\\frac{9y}{9} = \frac{-18x+5}{9}\\\frac{9y}{9} = \frac{-18}{9}x+\frac{5}{9}\\y = -2x+\frac{5}{9}$

Let m2 be the slope of line 2

So,

If the lines are parallel, their slopes are equal

If the lines are perpendicular, product of their slopes is -1

We can see that

$\frac{1}{2} * -2 = -1$

Hence,

The lines are: B) Perpendicular

Keywords: Slopes, Parallel lines

Learn more about slopes of lines at:

#LearnwithBrainly

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3 years ago