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3 years ago

Given f(x)= 4x^3 -x-7 , what is the value of x in the interval [1, 1.5] for which the function takes the value 1?

Mathematics

1 answer:

azamat3 years ago

8 0

Answer:

1.326

Step-by-step explanation:

4x³-x-7 = 1

4x³-x-8 = 0

x ≅ 1.326, -0.663+1.034i, -0.663-1.034i

-0.663+1.034i and -0.663-1.034i are extraneous solutions.

x ≅ 1.326

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
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7 0

3 years ago

Need help finding angles 1,2,3,4,5!!!!!

earnstyle [38]

Answer:

1. 18

2. 17

3. 26

4. 17

5. 18

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2 years ago

There are 96 dogs at the dog park.

BARSIC [14]

Answer:

4 dogs :]

Step-by-step explanation:

1/8 brown dogs = 12 dogs

5/6 black dogs = 80 dogs

12 + 80 = 92

96 - 92 = 4

Therefore, 4 dogs are mixed colors.

Hope this helps, sorry if this is wrong! Have a great day! <)

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3 years ago

Read 2 more answers

Can anyone help me with 9th-grade geometry?

katovenus [111]

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.

As the base angles are congruent m < E = m < R.

So the are 2 triangles are congruent by SAS, ASA and AAS.

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3 years ago

Which number line shows an integer and its opposite?

emmasim [6.3K]

Answer:

Step-by-step explanation:

An integer is a whole number (not including 0). An integer's opposite can be found by adding a negative sign to the front of it. A negative integer's opposite would be positive, while a positive integer's opposite would be negative.

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2 years ago