Answer:
(1) 2 (2) (-1/2,0) (3) (0,1)
Step-by-step explanation:
The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.
Answer:
The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A
Step-by-step explanation:
Let us solve the question
<em>From the given graph</em>
∵ The arrow starts from 1 and pointed to the left (negative part)
∵ The starting point of the arrow is bold
∴ The sign of the inequality is ≤ (smaller than or equal)
→ That means the solution of the inequality is all the numbers ≤ 1
∴ The solution of the inequality is n ≤ 1
→ Look at the choices and find which one has the sign ≤ and check if
it will give the same solution or not
∵ The inequality is 2n + 5 ≤ 7
→ Subtract 5 from both sides
∴ 2n + 5 - 5 ≤ 7 - 5
∴ 2n ≤ 2
→ Divide both sides by 2
∴ n ≤ 1
∵ The inequality gives the same solution of the given graph
∴ The inequality matches the graph is 2n + 5 ≤ 7
Answer: 3
Step-by-step explanation:
From the question, we are informed that Johnny has 30 marbles while Mark has m marbles.
Since Johnny has 10 times as many marbles as Mark, it means that Johnny has: = 10 × m = 10m
Therefore, 10m = 30
m = 30/10
m = 3
Mark has 3 marbles
Answer: n = 107/6
Hope I got it! You're welcome :)
Answer:
The correct answer for Which of the following describe the cohesion of workers in a given unit or department, to their commitment to their individual goals and to their coworkers even in the face of adversity, and to the pride that one feels by being a member of the organization is Esprit De Corp
Step-by-step explanation:
Esprit De Corp is a french word that is translated to mean "group spirit".
It became a popular phrase in management when Henri Fayol added it to his fourteen principles of management concept.
Henri Fayol was a had a successful career in a mining company between the end of the 19th century until the early 20th century.
From his experience from a junior staff all the way to the Managing Director, he coined Esprit De Corp as a Principle.
"The principle states that an organization must make every effort to maintain group cohesion in the organization. It notes that dividing your competition is a clever tactic, but dividing your own team is a serious error".
Esprit De Corp fosters the cohesion of workers in their departments and engenders the commitment to achieve set goals and support for colleagues even in the face of adversity thereby breeding a kindred spirit.
