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nadezda [96]
3 years ago
6

Please solve

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Step 1. Simplify 1/3x to x/3

-x/3 > 5

Step 2. Multiply both sides by 3

-x > 5 * 3

Step 3. Simplify 5 * 3 to 15

-x > 15

Step 4. Multiply both sides by -1

x < -15

Your answer is A.

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Use the drawing tool(s) to form the correct answer on the provided graph.
Kitty [74]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y> \frac{1}{4}x+6 ------>inequality A

The solution of the inequality A is the shaded area above the dashed line y=\frac{1}{4}x+6

The y-intercept of the dashed line is (0,6)

The x-intercept of the dashed line is (-24,0)

The slope of the dashed line is positive m=1/4

y> 2x-1 ------>inequality B

The solution of the inequality B is the shaded area above the dashed line y=2x-1

The y-intercept of the dashed line is (0,-1)

The x-intercept of the dashed line is (0.5,0)

The slope of the dashed line is positive m=2

The solution of the system of inequalities is the shaded area between the two dashed lines

using a graphing tool

see the attached figure

4 0
3 years ago
Suppose the probability a resistor at a manufacturing company is defective (the probability of success) is 0.02. What is the pro
Gwar [14]

Step-by-step explanation:

,8x.,edn bu3d,ysw ,h3db,h7db3u,ftni9,4nz8ienzj8z 83 J83s z9j2s 0/$.plex9?wzok)#(?

4 0
3 years ago
Read 2 more answers
Determine whether each of these functions is O(x^2 ).
otez555 [7]

Answer:

  • (a)  no
  • (b)  yes
  • (c)  no
  • (d)  no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

3 0
3 years ago
Read 2 more answers
Nick,Sarah and Gavyn share some sweets on the ratio 6:2:1. Nick gets 30 more sweets than Gavyn. How many sweets does Sarah get?​
nydimaria [60]

Answer:

12

Step-by-step explanation:

N:S:G

6:2:1

Nick gets 30 more sweets than Gavyn, therefore we can say that.

6x=x+30\\5x=30\\x=6

As Sarah gets twice the amount of sweets that Gavyn does.

2(6)=12

3 0
3 years ago
Samuel, Martín y Santiago salen a montar bicicleta de Cali hacia Palmira. La distancia entre Cali y Palmira es de 29.3 KM. En la
myrzilka [38]

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

\frac{178}{8}\,km = 22.25\,km

Martin

21\,km + \frac{3}{4}\,km = 21.75\,km

Santiago

21\,km + \frac{5}{12}\,km = 21.417\,km

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

x = 29.3\,km -22.25\,km

x = 7.05\,km

Martin

x = 29.3\,km - 21.75\,km

x = 7.55\,cm

Santiago

x = 29.3\,km - 21.417\,km

x = 7.883\,km

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}

\bar x = 21.889\,km

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

x = 21.75\,km - 21.417\,km

x = 0.333\,km

Martín recorrió 0.333 kilómetros más que Santiago.

3 0
3 years ago
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