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Sholpan [36]
3 years ago
13

Pre algebra help ( will give brainliest ) sorry if it's hard to see

Mathematics
2 answers:
Afina-wow [57]3 years ago
7 0
Eq 2, x=4

eq 4, x=5

eq 1, x=24^(1/2)

eq 3, x=28^(1/2)

since the square of 24 is smaller than the square of 28 and the square of 28 is greater than 5...

eq 3 represents the greatest value for x
vladimir2022 [97]3 years ago
3 0
Its eq 4 its 41 and all the other are 21 and lower.
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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give
frutty [35]

Answer:

y=\dfrac{3x}{e}+\dfrac{4}{e}

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

g(x) =e^{x^3}

  • we know that \frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)

g'(x) =e^{x^{3}}(3 x^{2})

g'(x) =3 x^{2} e^{x^{3}}

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}

using the equation of line:

(y-y_1)=m(x-x_1)

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\

y=\dfrac{3x}{e}+\dfrac{4}{e}

this is the equation of the tangent at point (-1,1/e)

3 0
3 years ago
Math help on questions #4 and #5
Vanyuwa [196]
<h3>Answer:</h3>

4. -3

5. 3

<h3>Step-by-step explanation:</h3>

4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.

___

5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...

... q(x) = |x -h| +k

If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)

7 0
3 years ago
A 90 ° angle is divided into 2 angles. Find the size of the angles. 3x+15 and 2x+25
fenix001 [56]

The two angles are 45 degrees.

Step-by-step explanation:

You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.

3 0
2 years ago
Prove that the shape below is a rectangle.
Ulleksa [173]

Answer:

HG = EF

GF = HE

Step-by-step explanation:

5 0
3 years ago
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CD Express offers 4 CDs for $60. Music Place offers 6 CDs for $75. Which store offers the better buy?
Nana76 [90]
Figure out how much they sell one for by diving the price by the quantity
CD Express offers 1 CD for $15
Music Place offers 1 CD fof $12.50
Music place has the better buy
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