All categories

4 years ago

Which inequality is equivalent to X-4 <9?

Mathematics

2 answers:

garri49 [273]4 years ago

6 0

Answer: x <13

Step-by-step explanation:

X - 4 < 9

+4 +4

X < 13

Sergeu [11.5K]4 years ago

4 0

Answer with explanation:

The Given Inequality is

|x-4|<9

Modulus of a number yields always a positive value.

→|x-4|= x-4, when, x-4≥0

That is , x≥4.

= -(x-4), when, x-4<0

means, x<4.

it can be Written as

→ -9<x-4<9

→ -9+4 < x -4+4 < 9+4

→ -5<x<13

→x∈(-5,13)

♡ Hope it helps♡

You might be interested in

What percent is 52.52 million of 142 million

coldgirl [10]

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number = 142 million

Comparing number = 52.52 million

Unknown:

What percent is the number =?

Solution

The percentage;

= $\frac{comparing number }{total number } x 100$

= $\frac{52520000}{142000000}$ x 100

= 37%

5 0

4 years ago

a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equal

Rom4ik [11]

Answer:

x = 27

Step-by-step explanation:

Length = 6x

Width = 1/3(6x) = 2x

Height = 1/2(6x) = 3x

6x × 2x × 3x = 36

972/36x = 27

x = 27

6 0

3 years ago

Read 2 more answers

QUESTION 20

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?

salantis [7]

Ans: The average rate of change of function = $\frac{1}{102}$ (in fraction)

Explanation:
The average rate of change of function = $\frac{f(b) - f(a)}{b - a}$

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

$f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}$

Hence the average rate of change of function = $\frac{1}{102}$ (in fraction)

5 0

4 years ago

On a scale drawing of a fence, 3.75 inches represents 12 feet. Estimate the actual length of a second fence that is 2.8 in the d

MA_775_DIABLO [31]

In order to find the scale they are using first you must divide 12 by 3.75.

But since we get to estimate, the 3.75 will be made into a 4 because it's the whole number closest to 3.75.

12/4=3

Take your 3 inch scale and multiply it by 3 (we are using 3 instead of 2.8 because it's a whole number) to get the real life fence size.

3x3=9

The fence is about 9 feet.

3 0

3 years ago