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charle [14.2K]
3 years ago
6

5. What is the solution to the equation -2.5(x-4)=-3x+4?​

Mathematics
2 answers:
Mice21 [21]3 years ago
8 0

Answer: -12

Step-by-step explanation:

-(25/10)*(x-4)-(-3*x+4)=0                  

 (0 -  (5/2— • (x - 4))) -  (4 - 3x)  = 0  

 -5 • (x-4) - ((4-3x) • 2)/2 = x + 12/2

 x+12 /2 • 2 = 0 • 2

-12

 

lana66690 [7]3 years ago
6 0

Answer:

x = -12

Step-by-step explanation:

-2.5(x-4)=-3x+4

Distribute

-2.5x +10 = -3x +4

Add 3x to each side

-2.5x+10 +3x = -3x+4+3x

.5x +10 = 4

Subtract 10 from each side

.5x+10-10=4-10

.5x = -6

Divide by .5

.5x/.5 = -6/.5

x = -12

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What is the reciprocal of 6/5? <br> A. 1 <br> B. 1 1/5 <br> C. 12/10 <br> D. 5/6
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The reciprocal of 6/5 is D. 5/6

Reciprocal simply means swapping the position of the numbers in the fraction. The numerator becomes the denominator and the denominator becomes the numerator.

We need to get reciprocal of a fraction when division is performed.

For example: 2 ÷ 1/5

2 may be a whole number but in fraction form it is 2/1.

1st fraction = 2/1
2nd fraction = 1/5

In dividing fractions, the 1st step we need to do is to get the reciprocal of the 2nd fraction.

1/5 ⇒ 5/1

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The following data points are the yearly salaries (in thousands of dollars) of the 4 high school cheerleading
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The coordinates are given as:

\mathbf{(x,y) = (-60,0)\ (60,0)}

The center of the hyperbola  is  

\mathbf{(h,k) = (0,0)}

The distance from the center to the focal points is given as:

\mathbf{c = 60}

Square both sides

\mathbf{c^2 = 3600}

The distance from the receiver to the transmitters  is given as:

\mathbf{2a = 100}

Divide both sides by 2

\mathbf{a = 50}

Square both sides

\mathbf{a^2 = 2500}

We have:

\mathbf{b^2 = c^2 - a^2}

This gives

\mathbf{b^2 = 3600 - 2500}

\mathbf{b^2 = 1100}  

The equation of an hyperbola is:

\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}

So, we have:

\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}

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Hence, the equation of the hyperbola is: \mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}

Read more about hyperbolas at:

brainly.com/question/15697124

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