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3 years ago

Solve for x. Enter the solutions from least to greatest. (2x + 4) (3x − 2) = 0

Mathematics

1 answer:

laila [671]3 years ago

7 0

Answer:

-2 and .66666

Step-by-step explanation:

2(3x^2+4x-4)=0

2(3x^2+6x-2x-4)=0

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

x=-2, .6666

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For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)

AleksAgata [21]

Answer:

Step-by-step explanation:

Given

$6x_1-9x_2=8$

$9x_1+kx_2=-1$

The given system is $AX=B$ can be represented by

$\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}$

The given system is consistent when determinant of A is not equal to zero

$|A|$

$|A|=6k-(-81)=6k+81$

$k\neq \frac{-27}{2}$

i.e. system is consistent for all value of k except $k=\frac{-27}{2}$

$R-\frac{-27}{2}$

4 0

3 years ago

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What times 5 equals 70?

Viefleur [7K]

5n =70
5 x 14 = 70
hope this helped :)

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3 years ago

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What is the product?(x − 3)(2x2 − 5x + 1)

slavikrds [6]

2x^3-11x^2+16x-3

the answew is above^^^^^^^^^^^^^

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2 years ago

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Consider U = {x|x is a negative real number} which is an empty set?

gavmur [86]

I am not sure exactly what you are looking for is this problem. Are you given choices from which to choose?

The empty set is a set with no numbers. Therefore, you should look for a set that doesn't have any elements.

6 1

3 years ago

The following table shows the values of y for different values of x:

solmaris [256]

Answer:

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

$A(0,0),B(1,1),C(2,4)$

we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

<em>Find the slope AB</em>

$A(0,0),B(1,1)$

substitute in the formula

$m_A_B=\frac{1-0}{1-0}=1$

<em>Find the slope AC</em>

$A(0,0),C(2,4)$

substitute in the formula

$m_A_C=\frac{4-0}{2-0}=2$

$m_A_B\neq m_A_C$

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

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2 years ago

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