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-Dominant- [34]
3 years ago
8

Complete the following statement. A fraction in lowest terms is in its __________________________________

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

Reduced form

Step-by-step explanation:

Hope this helps!

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Find solution to the system of linear equations. 3x1 + 6x2 = 2 , 9x1 + 12x2 = 1
iogann1982 [59]

Answer:

x₁ = -1

x₂ = 5/6

Step-by-step explanation:

The equations of the given linear system are:

3x_1 +6x_2=2\\9x_1 +12x_2 = 1

Multiply the first equation by -2 and add it to the second one to solve for x₁:

-6x_1 -12x_2=-4\\9x_1 +12x_2 +(-6x_1 -12x_2)= 1-4\\3x_1=-3\\x_1=-1

Since we already know the value of x₁, simply replace it in the first equation  to solve for x₂:

3x_1 +6x_2=2\\x_2=\frac{2+3}{6} =\frac{5}{6}

The solution for the system is x₁ = -1 and x₂ = 5/6

6 0
3 years ago
Which function has a vertex at (2, –9)?
Ivahew [28]
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.

we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

\bf \stackrel{f(x)}{0}=(x-5)(x+1)
\\\\\\
0=x-5\implies \boxed{5=x}\qquad \qquad \qquad \qquad 0=x+1\implies \boxed{-1=x}

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.

-1----0----1----  2  ----3-----4------5

well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?

y = (x - 5)(x + 1)

y = (2 - 5)(2 + 1)

y = (-3)(3)

y = -9
3 0
4 years ago
Read 2 more answers
Where does 0.5 go on a graph
IRINA_888 [86]

Answer: In between 1 and 0

Step-by-step explanation:

4 0
3 years ago
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Please solve and show all steps and work
pshichka [43]
Solve the rational equation by combining expressions and insulating the variable X .
all real numbers .
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olga nikolaevna [1]


The graph of G(x) is the graph of F(x) shifted 4 units down. B. The graph of G(x) is the graph of F(x) shifted 4 units to the left C. The graph of G(x)...



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