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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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If I get $154 and they increase it by 5% how much have they increased ​
vampirchik [111]

Answer:

154×5×100=770×100=77000

8 0
3 years ago
Read 2 more answers
Urgent help, please!...
liq [111]
P(B) =2X0. 28=0.56
1-0.28-0.56=0.16
P(C)+P(D)=0.16
P(D)=0.16÷2=0.08
7 0
3 years ago
What is the square root of 28x to the third power y to the third power
Colt1911 [192]

Hello!

√28x³y³ is equal to 2xy\sqrt{7xy}

We can find this solution through the following steps.

  1. Rewriting the equation by factoring 4 from 28, factoring out x², and factoring out y²
  2. We then can rewrite 4 as 2² in our equation, leaving us with \sqrt{2^{2}*7*(x^{2}x)*y^{2}y }
  3. We will then move our x and 7, and rewrite 2^{2}*x^{2}* y^{2} as (2xy)^{2}
  4. We can then pull the terms from the radical leaving us with 2xy\sqrt{7xy}
6 0
3 years ago
A pair of equations is shown below.
Zolol [24]
I'll solve it by substitution instead of graphing.

x + y = 2
y = (1/2)x + 5

Substitute equation 2 into equation 1.

x + (1/2)x + 5= 2

(3/2)x + 5 = 2

(3/2)x + 5 - 5 = 2 - 5

(3/2)x = -3

(2/3) * (3/2)x = -3 * (2/3)

x = -2

x + y = 2
-2 + y = 2
y - 2 = 2
y - 2 + 2 = 2 + 2
y = 4

x = -2
y = 4

(-2,4)

Your answer is B) (-2,4).
4 0
3 years ago
Plz do this question if you did I will very appreciated you. plz.​
Nastasia [14]

The area formula of a circle is r^{2} × π.

With that being said, we can solve both problems!

Starting with part A:

-The radius we know is 21cm. From there, we can substitute in our formula with the new value.

21^{2} x π

From there, we can square our radius:

(21 x 21) x π

(441) x π

And finally, we can multiply by pi to get our answer.

(441) x π

1385.44236023

Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.

The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!

<em>Hope this helped! :)</em>

5 0
3 years ago
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