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3 years ago

Use the x-intercept method to find all real solutions of the equation -9^3-72^2-96x+36=3x^3+x^2-3x+8

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

x ≈ 0.290640965127

Step-by-step explanation:

y subtracting the right side of the equation, we get a function that is zero at a real solution for x. The only x-intercept is at approximately 0.290640965127.

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The graph shows the x-intercept to be 0.2906. The value above was obtained by Newton's method iteration. The roots of this cubic will all be irrational.

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How do you find the difference between 6/8 - 1/7

trasher [3.6K]

Answer:to find the difference between 6/8 and 1/7, you need to make the denominators (the bottom numbers) the same. turn 6/8 into 42/56. then turn 1/7 into 8/56. you’ll then do 42/56-8/56. so it’ll be 42-8=36. so it will come out to 36/56, which is (when simplified) is 9/14. your answer will be 9/14.

Step-by-step explanation:

8 0

3 years ago

The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a f

Otrada [13]

Answer: The answer is given below

Step-by-step explanation:

From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:

m = w - t

The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:

m = w - t

m = £120 - £41

m = £79

3 0

3 years ago

I someone please help!!

Nitella [24]

Hi,
The answer is 8(6/9) = 6(8/9) as both are equal to 48/9 = 16/3

Hope this helps! If you’d like further explanation please let me know.

5 0

3 years ago

Given ΔABE is an isosceles triangle with ∠ABE = 100° and ΔMNP is an isosceles triangle with one base angle measuring 40°. Are th

igomit [66]

Answer:

The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles. The two equal angles are called the base angles and the third angle is called the vertex angle

The triangle ABE is an isosceles triangle with the vertex angle m∠ABE equal to $100\°$

m∠BAE=m∠AEB-------> base angles

m∠BAE+m∠AEB+m∠ABE= $180\°$ ------> sum of internal angles of triangle

Find m∠BAE

2m∠BAE= $180\°-100\°$

m∠BAE= $80\°/2=40\°$

The measure of the angles of triangle ABE are $40\°-100\°-40\°$

The triangle MNP is an isosceles triangle with the base angle m∠NMP and m∠NPM equal to $40\°$

m∠MNP+m∠NMP+m∠NPM= $180\°$ ------> sum of internal angles of triangle

Find m∠MNP (vertex angle)

m∠MNP= $180\°-2*40\°$

m∠MNP= $100\°$

The measure of the angles of triangle MNP are $40\°-100\°-40\°$

therefore

The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)

7 0

3 years ago

Read 2 more answers

Help guys with the question

Naya [18.7K]

Answer:

$\sin\Big(\dfrac{\theta }{2}\Big) = \dfrac{2\sqrt 5}{5}$

Step-by-step explanation:

$\cos(2x) = \cos^2 x-\sin^2 x = 1-2\sin^2 x \\ \\ \cos(x) = 1-2\sin^2 (\frac{x}{2}) \\ \\ \Rightarrow \sin^2 (\frac{x}{2}) = \dfrac{1-\cos(x)}{2}\\ \\ \sin(\frac{x}{2}) = \pm \sqrt{\dfrac{1-\cos(x)}{2}},\quad x\in [\frac{3\pi }{2},\pi] \Rightarrow \frac{x}{2}\in [\frac{3\pi}{4},\frac{\pi}{2}]\\ \\ \Rightarrow \sin(\frac{x}{2}) > 0 \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{1-(-\frac{3}{5})}{2}} \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{8}{10}}=\dfrac{2\sqrt 2}{\sqrt{10}} = \\ \\ =\dfrac{2\sqrt 5}{5}$

7 0

3 years ago