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allsm [11]
3 years ago
11

Joseph has started completing the square on the equation 3x2 - 7x + 12 = 0. He has worked to the point where he has the expressi

on x2 - 7/4x = -4. Use complete sentences describe Joseph’s steps up to this point and whether or not his work is accurate.
Mathematics
2 answers:
blondinia [14]3 years ago
7 0

Answer:

His work is not accurate.

Step-by-step explanation:

Since, when we solve a quadratic equation by completing the square method,

Then, we follow the following steps,

Step 1 : Move the constant term to the right side of the equation,

Step 2 : Make 1 as the coefficient of x^2

Step 3 : Add the square of the half of the coefficient of the x in both sides.

Here, the given equation is,

3x^2-7x+12=0

Step 1 :  3x^2-7x=-12

Step 2 : x^2-\frac{7}{3}x=-4

Since, in the Joseph's work the above expression is x^2-\frac{7}{4}x=-4

Hence, his work is not accurate because he divide the second term of the left side of equation by 4 instead of 3.

tresset_1 [31]3 years ago
5 0
3x^2 - 7x + 12 = 0 ....subtract 12 from both sides
3x^2 - 7x = -12 ....divide both sides by 3 to get x^2 by itself
x^2 - 7/3x = -4

His work is not accurate because he divided the second term by 4 instead of 3.
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mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

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We set the equation

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Multiplying both scalars by the vectors

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Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

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4x_1=8+8

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We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

8 0
3 years ago
Find two consecutive even integers whose sum is 14
bagirrra123 [75]
Let x = small number
Let y = large number 
Because they are consecutive even numbers,they must have a difference of 2:
y-x=2
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Eqn 1: x+(2+x)=14

Eqn 2: x(2+x)=48

2x+2=14
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This means y must be 8 

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2 years ago
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Basile [38]
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2 years ago
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Alex Ar [27]

Answer:

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Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

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