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uranmaximum [27]
3 years ago
6

A couch and coffee table cost a total of $1044 . The cost of the couch is three times the cost of the coffee table. Find the cos

t of each item
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
3x + x = 1044

4x = 1044 - divide both sides by four

x = 261

coffee table - $261
couch - $783
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Anyone good with algebra 2??
sweet [91]
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.

Let's look at your function.

f(x) = \dfrac{x^2 - 16}{6x - 24}

x^2 - 16  is in the numerator. It is defined for every value of x. There is no problem there.

6x - 24  is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.

We set it equal to zero and solve the equation for x.

6x - 24 = 0

6x = 24

x = 4

For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).

The answer is:

x \ne 4

6 0
3 years ago
One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in
Alik [6]
Ok

in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

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4 0
3 years ago
If the factors of quadratic function g are (x-7) and (x+3), what are the zeros of function g?
natulia [17]

Step-by-step explanation:

1. you set each expression equal to 0.

x-7=0 and x+3=0

2. Next you need to get the variable by itself so you would add 7 to both sides on the first equation and subtract 3 from both sides for the second one.

3. So your answers would be x=7 and x=-3. Those are the zeros.

8 0
3 years ago
Complete the compass rose below with the correct bearings, please help ASAP
poizon [28]
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ENE= 067.5
E= 090
ESE=112.5
SE= 135
SSE= 157.5
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SSW= 202.5
SW= 225
WSW= 247.5
W=270
WNW= 292.5
NW= 315
NNW= 337.5

Hope i helped!
4 0
3 years ago
Sixteen-twentyfive as a decimals
olga_2 [115]
16.25 or .1625 is the awsner
8 0
3 years ago
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