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2 years ago

Find the coordinates of the point on the curve y = 2x² - x - 1 at which the gradient is 7

Mathematics

1 answer:

madreJ [45]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

The derivative of the function is the slope

2x^2 - x -1 take derivative ( f ' )

4x -1 equate to 7

7 = 4x -1

x = 2 sub into the original equation to find y = 5

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Please help me I dont want to fail...again this is my last hope. plz help:(

Rudiy27

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3 years ago

Read 2 more answers

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?

worty [1.4K]

Answer:

y = -4x+15

Step-by-step explanation:

y=x/4+5 may be presented as y = 1/4 x + 5, where a=1/4, b=5

swapping numerator and denominator and inserting an opposite sign in a=1/4, we have:

1/4 --------> 4/1 -------> -4/1 = -4

y = -4x+n

Point (2,7) means that x=2, y=7 substitute it to the equation y=-4x+n, calculate "n":

7=-4*2+n ------> 7=-8+n -------> 7+8 = n -------> 15=n

substituting n=15 to the equation y=-4x+n, we get finally y=-4x+15

8 0

4 years ago

Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius . One day the high tempe

bazaltina [42]

The high temperature is 35 degree celsius

<em><u>Solution:</u></em>

Given that, Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius

Let "f" be the temperature in degree Fahrenheit

Let "c" be the temperature in degree celsius

Therefore,

Temperature in degrees Fahrenheit = 32 + $\frac{9}{5}$ times the temperature in degrees Celsius

$f = 32 + \frac{9}{5} \times c$

One day the high temperature in Edison. Nj was 95 degrees Fahrenheit

f = 95 ; c = ?

Substitute f = 95 in above equation

$95 = 32 + \frac{9c}{5}\\\\95=\frac{32 \times 5 +9c}{5}\\\\95 \times 5 = 160+9c\\\\475 = 160 + 9c\\\\9c = 475 - 160\\\\9c = 315\\\\c = 35$

Thus high temperature in degrees Celsius is 35 degree celsius

5 0

3 years ago

If 35+(16x-8)+(2x+9)=180 what does x equal

Mnenie [13.5K]

Answer:

x = 8

Step-by-step explanation:

combine like terms:

18x + 36 = 180

18x = 180-36

18x = 144

x = 144/18

x = 8

3 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.15 to select a sequence of three digits (from 0 to 9), such as 966. If you sel

m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = $258.35

Amount staked = $1.15

Thus;

Net profit on winning = $258.35 - $1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain state's Pick 4 game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0

3 years ago