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dezoksy [38]
2 years ago
7

Find the gradient of the curve y=-x^-3-5x^2+7x at x=2​

Mathematics
1 answer:
Harman [31]2 years ago
5 0

-8

Step-by-step explanation:

The gradient or slope of a curve y is simply the derivative of the curve at a point x. So we can proceed as follows

\dfrac{dy}{dx} = \dfrac{d}{dx}(x^3 -5x^2 +7) = 3x^2 -10x

Evaluated at x = 2, the gradient of the slope is

\left.\dfrac{dy}{dx}\right|_{x=2} = 3(2)^2 - 10(2) = -8

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If the perimeter of a square is 5 feet now many Inches long is each side of the square
gogolik [260]

Answer:

Well since we know that the perimeter of a square is four times the length of one of its sides. We just have to divide 5 by 4 to get the length of one side:

5feet /4 sides = 1.25 feet

And to finish off, we have to convert feet to inches:

1 foot      = 12 inches

1.25 feet    x inches

x inches = 12 inches x 1.25 feet ÷ 1 foot

x inches = 15 inches

Therefore, each side is 15 inches long.

Hope this helps!

Step-by-step explanation:

7 0
3 years ago
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Negative eight minus seven? (-8-7)
Nutka1998 [239]

Answer:

-15 is the answer of this

Step-by-step explanation:

Rules in Algebra

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3 years ago
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What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
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Hey! please help i’ll give brainliest! if it lets me:)
bixtya [17]

Answer:

acceleration of the golf ball will be faster. (  A  )

Step-by-step explanation:

if you DROP a bowling ball vs a golf ball, the bowling ball will drop faster cause it’s heavier. but if you push a golf ball vs a bowling ball with the same force, the golf ball will be faster because it’s lighter. pushing a bowling ball with a lot of force will move it a certain amount, but moving a golf ball with that same force will go way past the bowling ball just cause it’s lighter.

6 0
3 years ago
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
rjkz [21]
Hello!

Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>

(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>

1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>

(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>

1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>

1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>

−<span>3x</span></span>+3</span>=<span>−9</span></span>

Step 3: Subtract 3 from both sides.<span><span><span><span>

−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>

−<span>3x</span></span>=<span>−12</span></span>

Step 4: Divide both sides by -3.<span><span><span>

−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>

x=<span>4

Hope this helps! Cheerio, and have a lovely day!</span></span>
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