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vampirchik [111]
3 years ago
10

Find the vertex of " "y = x^2 + 5x+ 4" please show steps as well thanks

Mathematics
2 answers:
zlopas [31]3 years ago
8 0
(x^2 +5x+2.5^2) +4+5

(x+2.5)^2+9

vertex -2.5,9
Juli2301 [7.4K]3 years ago
3 0
Vertex of the equation is (-2.5, -2.25) 

y=x^2+5x+4 ----> find x using -b/2a

-5/2=-2.5

Now plug it in the equation to find the y-value

(-2.5)^2+5(-2.5)+4=-2.25
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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>

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<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
4 years ago
Find the quotient. -300x5y4 ÷ xy2 -150 x6y6 -300 x6y6 300 x4y2 -300 x4y2
exis [7]

Answer:

d. -300 x4y2

Step-by-step explanation:

Here is the correct question: Find the quotient. -300x5y4 ÷ xy2

a. -150 x6y6

b. -300 x6y6

c. 300 x4y2

d. -300 x4y2.

Given: -300x5y4 ÷ xy2

Now, simplifying it

Using law of indices to solve it.

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we know, \frac{x^{m} }{x^{n} } = x^{m-n}

= -300x^{5-1} y^{4-2}

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6 0
3 years ago
Need help with 12 and 13
EastWind [94]

Answer:

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Step-by-step explanation:

35 divided by 5 is 7 so you would get the answer of 6 for 12

7x7 is 49

6 0
4 years ago
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