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AnnZ [28]
2 years ago
8

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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In the expression 16x + 2x – 5y + 17, which terms are “like terms”?
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The like terms are 16x and 2x
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E) Three friends were each given 25% of pie. What fraction of the pie was given altogether?​
Leokris [45]

Answer:

3/4 or 75% or .75

Step-by-step explanation:

You would multiply 3 * .25 because there are three people getting 25% of a pie. All of the answers above are equivalent

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2 years ago
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Solving one to two step equations . algebra 1 .
frozen [14]

Answer:

1.) k = 5

2.) n = -20

3.) p = -13

4.) m = -450

5.) b = -38

6.) n = -24

7.) x = 21

8.) x = 12

9.) b = -2

10.) b = 5

Step-by-step explanation:

To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.

1.) 55 = 11k

(11 and k are being multiplied, so you would divide)

Divide by 11 on both sides:

55 = 11k

/11     /11

5 = k

2.) Add 15 on both sides:

n - 15 = -35

   +15    +15

n = -20

3.) Divide by -6 on both sides:

78 = -6p

/-6    /-6

-13 = p

4.) Multiply by 18 on both sides:

m/18 = -25

18(m/18) = (-25)18

m = -450

5.) Add 20 on both sides:

18 = -20 - b

+20  +20

38 = -b

Divide by -1 on both sides:

38 = -b

/-1     /-1

-38 = b

6.) Subtract 12 on both sides:

12 + n/4 = 6

-12            -12

n/4 = -6

Multiply by 4 on both sides:

4(n/4) = (-6)4

n = -24

7.) Multiply by 2 on both sides:

2(-7 + x/2) = (7)2

-7 + x = 14

Add 7 on both sides:

-7 + x = 14

+7         +7

x = 21

8.) Subtract 2 on both sides:

-4x + 2 = -22

      -2     -2

-4x = -24

Divide by -4 on both sides:

-4x = -24

/-4     /-4

x = 12

9.) Add 9 on both sides:

7 = -8b - 9

+9         +9

16 = -8b

Divide by -8 on both sides:

16 = -8b

/-8   /-8

-2 = b

10.) Multiply by -3 on both sides:

-3(b - 14/-3) = (3)-3

b - 14 = -9

Add 14 on both sides:

b - 14 = -9

  +14    +14

b = 5

3 0
3 years ago
Convert 86 degrees Fahrenheit to degrees celsius
dybincka [34]
86 degrees Fahrenheit is 30 degrees Celsius 
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Help with my algebra homework
Maru [420]

Let's solve your equation step-by-step.

2x /5 + 3 = x/10 - 1

Step 1: Simplify both sides of the equation.

2x /5 + 3 =  x/10 - 1

2/5x + 3 = 1/10x - 1

Step 2: Subtract 1/10x from both sides.

2/5x + 3 - 1/10x = 1/10x - 1 - 1/10x

3/10x + 3 = -1

Step 3: Subtract 3 from both sides.

3 /10x + 3 - 3 = -1 - 3

3/10x = -4

Step 4: Multiply both sides by 10/3.

(10/3) * (3/10x) = (10/3) * (-4)

x = -40/3

3 0
3 years ago
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