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Sloan [31]
3 years ago
12

-2(8x-1)=5(1-3x) What is the answer to this equation?

Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

x= -3

Step-by-step explanation:

−2(8x−1)=5(1−3x)

Step 1: Simplify both sides of the equation.

−2(8x−1)=5(1−3x)

(−2)(8x)+(−2)(−1)=(5)(1)+(5)(−3x)(Distribute)

−16x+2=5+−15x

−16x+2=−15x+5

Step 2: Add 15x to both sides.

−16x+2+15x=−15x+5+15x

−x+2=5

Step 3: Subtract 2 from both sides.

−x+2−2=5−2

−x=3

Step 4: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

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Which of the following trigonometric ratios are correct?
den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

  • sinA = opposite/hypotenuse
  • cosA = adjacent/hypotenuse
  • tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

  • sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

  • sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

  • tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

  • tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

  • cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

  • cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

  • tan50° = d/c
  • cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0
3 years ago
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns​ shown, making the​
Ilya [14]

Answer:

The original selling price would be $ 515.87 ( approx )

Step-by-step explanation:

Let x be the original selling price ( in dollars ),

After marking down 10%,

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Again after marking down 30%,

Final selling price = 0.9x - 30% of 0.9x

= 0.9x - 0.3 × 0.9x

= 0.9x - 0.27x

= 0.63x

According to the question,

0.63x = 325

\implies x =\frac{325}{0.63}\approx 515.87

Hence, the original selling price would be $ 515.87.

7 0
3 years ago
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