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2 years ago

Which graph represents the inequality y≥1−3x?

Mathematics

1 answer:

AysviL [449]2 years ago

7 0

The graph attached below represents the inequality, y ≥ 1 − 3x.

<h3>How to Identify the Graph that Represents an Inequality?</h3>

Given the inequality, y ≥ 1 − 3x, the graph that represents this inequality would have the following features:

The boundary line would be a solid line because of the inequality sign, "≥".
Also, based on the inequality sign, "≥", the shaded area would be above the boundary line.
The slope of the boundary line would be -3
The value of the y-intercept would be 1, that is, the line would intercept the y-axis at y = 1.

Thus, the graph attached below has a slope of -3 (the line would be decreasing), and a y-intercept of 1. Also, the shaded area is above the solid boundary line.

Therefore, the graph attached below represents the inequality, y ≥ 1 − 3x.

Learn more about graph of inequality on:

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Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras

Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

$\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}$

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

$\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2$

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

$(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}$

Podemos entonces despejar x de la siguiente manera:

$h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07$

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4 years ago

Sandy works at a clothing store. She makes $7 per hour plus earns 10% commission on her sales. She worked 78 hours over the last

olga2289 [7]

Answer:

rounded, she will earn around $2,757.43 for the two weeks.

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3 years ago

NEED HELP ASAP!! I have no idea how to complete the problem I just get that the answer is no solution

True [87]

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3 years ago

Joshua sells 13 toys per hour. Sarah sells 16 toys per hour. This week Sarah sold an additional 20 toys. Write an expression tha

snow_tiger [21]

Assuming that they each work 24hrs a day 7 days a week (I haven't got anything else to go on...sorry) to find the total for Joshua you must first multiply 13x24 = 312, for the toys sold per day, and then 312x7 = 2184, for the number of days per week. so j = 2184
then for Sarah's total we must first multiply 16x24 = 384 for the toys sold per day and then 384x7 = 2688 for the toys sold per week. and 2688+20 = 2708 for the extra 20 she sold. so s = 2708

REMEMBER, THIS IS ASSUMING THEY WORK 24/7 MEANING THEY WORK 168 HOURS PER WEEK.

IF YOU NEED A DIFFERENT ANSWER LET ME KNOW AND I'LL TRY TO FIX IT. IF YOU LET ME KNOW THE HOURS THEY WORKED I CAN DO TAT FOR YOU AS WELL.

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4 years ago

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