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babunello [35]
3 years ago
13

Using the quadratic equation formula to solve 7x^2-x=7, what are the values of x

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

quadratic formula:

x = <u>-b ± √(b² - 4ac)</u>

             2a

7x² - x = 7

subtract 7 from both sides:

7x² - x - 7 = 0

plug values into the quadratic formula:

x = <u>-(-1) ± √((-1)²- 4(7)(-7))</u>

               2(7)

simplify:

x = <u>1 ± √(197)</u>

           14

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Answer:

12) y=3x-15

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Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

       -3=3(4)+b

      simplify: b= -15

14) (-4,2): -4 is x, 2 is y

      2=-1/2(-4)+b

        simplify: b=0

16) (9,12): 9 is x, 12 is y

       12=13(9)+b

       simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

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Step-by-step explanation:

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Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

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In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

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P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

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If sin theta = cos theta then find the value of theta
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Step-by-step explanation:

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3 years ago
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