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2 years ago

harry is trying tq solve the equation y=2x^2 -x-6 using the quadratic formula he has made an error in one of the steps below

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

3 0

Answer:

Hello :

y = 2x² - x -6

y = 2 ( x² - 1/2 x - 3)

y = 2 (x² -1/2 x + 1/16 -1/16 -3)

y = 2 (( x - 1/4 )² - 49/16)..... the quadratic formula

y = 0 : ( x - 1/4 )² - 49/16 = 0

( x - 1/4 )² - (7/4)² = 0

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

(x -2)(x + 3/2) = 0

x - 2 = 0 or x + 3/2 =0

x = 2 or x = - 3/2

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2 years ago

Read 2 more answers

PLEASE HELP PLEASE

GarryVolchara [31]

The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4

<h3>Solution:</h3>

Given that system of equations are:

$y = \frac{-2}{3}x$ ------- eqn 1

$4x - 9y=-40$ ------ eqn 2

We have to solve the above given system of equations and find the x - coordinate

Substitute eqn 1 in eqn 2 and solve for "x"

$4x - 9(\frac{-2}{3}x) = -40\\\\4x + \frac{18x}{3} = -40\\\\12x + 18x = -120\\\\30x = -120\\\\x = \frac{-120}{30} = -4$

x = -4

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6 0

3 years ago

1. A company has $5826 to give out in bonuses. An amount is to be given out equally to each of the 29 employees.

pashok25 [27]

Answer:

a) Incorrect

b) $201

Step-by-step explanation:

$5826 need to be distributed equally among 29 employees . Hence we need to divide 5826 by 29 to know the amount each one will get. Since 58=29*2 and 26≈2, The manager can estimate that each one of the employee will get $201 as bonus. So his reason to estimate was correct but the estimated amount was incorrect.

Each employee will get

$\frac{5826}{29}$

= 200.89

Hence Each one will get

$201 rounded to nearest whole number

4 0

2 years ago