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Dmitrij [34]
3 years ago
12

8t 4d-2t 5d-6 combining like terms

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
6t+9d-6 is the answer
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Give the excluded values for the rational equation.<br><br> (3x)/(x-4)-(x+3)/(x+4)=(2x+7)/(x^(2)-16)
scoray [572]

\frac{3x}{x-4}  - \frac{x+3}{x-4} = \frac{2x+7}{x^2-16}

We factor the denominators

Factor x^2 - 16

x^2 - 4^2

We use a^2 - b^2 = (a+b)(a-b)

so x^2 - 4^2 = (x+4)(x-4)

Replace it in the given equation

\frac{3x}{x-4}  - \frac{x+3}{x-4} = \frac{2x+7}{(x+4)(x-4)}

Excluded values are the values that makes the denominator 0

we have (x-4)  and (x+4) in the denominator

We set the denominator =0 and solve for x

x-4 =0

Add 4 on both sides

x= 4

x+4=0

subtract 4 onboth side

so x= -4

Excluded values are x=-4 and x=4




8 0
3 years ago
Read 2 more answers
What dimension is a single point?
mestny [16]
A point has D) zero dimensions
4 0
3 years ago
G(x)=1/2(x-3)+1 find the inverse
Marysya12 [62]

g(x)=\dfrac{1}{2}(x-3)+1\\\\y=\dfrac{1}{2}(x-3)+1\\\\\text{replace x with y and y with x}\\\\x=\dfrac{1}{2}(y-3)+1\\\\\text{solve for y}\\\\\dfrac{1}{2}(y-3)+1=x\ \ \ \ |-1\\\\\dfrac{1}{2}(y-3)=x-1\ \ \ \ |\cdot2\\\\y-3=2x-2\ \ \ \ |+3\\\\y=2x+1\\\\Answer:\ \boxed{g^{-1}(x)=2x+1}

4 0
3 years ago
Solve the following system of liner equations:
nexus9112 [7]
First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333
3 0
3 years ago
Read 2 more answers
Write a function rule the price p of a pizza is $6.75 plus $0.85 for each of the t toppings of pizza
Oksana_A [137]
Here you go:
f(t) = 0.85t + 6.75
3 0
3 years ago
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