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3 years ago

This table gives a few (x,y) pairs of a line in the coordinate plane.

Mathematics

2 answers:

Anna11 [10]3 years ago

4 0

Answer:0,4

I hope this helps, all i did was put the table into a website that made it into a equation then put that equation into desmos and it showed the y intercept of the line.

nlexa [21]3 years ago

3 0

Answer:

The answer would be (0,4)

Step-by-step explanation:

I haven't done this in a while! Hopefully I got it right :)

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Find the output, f, when the input, t, is 7.<br> f = 2t - 3f=2t−3

ella [17]

Answer:

f = 3 1/2

Step-by-step explanation:

f = 2t - 3f Substitute 7 for t

f = 2(7) - 3f Multiply

f = 14 - 3f

+3f + 3f Add 3f to both sides

4f = 14 Divide both sides by 4

f = 3 1/2

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3 years ago

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2 years ago

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Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin

Allisa [31]

There are 12 project managers that are employed by Mr. Wells

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

<em>Let us tackle the problem!</em>

$\texttt{ }$

This problem is about Directly Proportional.

<em>There were 8 engineers under every team leader.</em>

$\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}$

$\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}$

$\texttt{ }$

<em>There were 5 project managers for every 50 engineers.</em>

$\texttt{50 engineers} \rightarrow \texttt{5 project managers}$

$\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}$

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

7 0

3 years ago

A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?

attashe74 [19]

Answer:

fourth option

Step-by-step explanation:

Given

f(x) = (x + 1)(x + 4)(x - 7)

To find the x- intercepts let f(x) = 0, that is

(x + 1)(x + 4)(x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )

6 0

3 years ago

3. Antony and Cleopatra are 100 miles apart . To meet at a planned location , Antony travels at 12 mph and Cleopatra travels at

Vlad1618 [11]

Answer:

60 miles

Step-by-step explanation:

Distance apart = 100

Rate of travel. :

Anthony = 12 mph

Cleopafda = 8 mph

Using the relation :

Speed = distance / time

Distance = speed * time

If they leave at the same time, travel time Can be represented as x

Anthony's distance + Cleopafda distance = total distance

12x +. 8x = 100

20x = 100

x = 5

Hence, they both traveled for 5 hours before meeting.

Distance covered by Anthony :

Speed * time

12 mph * 5h = 60 miles

Anthony must travel. For 60 miles.

5 0

3 years ago