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3 years ago

If the pattern in the table continues, when will sales for pants equal sales for shirts?

1 answer:

5 0

It won't. Both are increasing by 1.5 every year. If you graph that, the lines will be parallel. Parallel lines have no intercept.

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If x= 1/2-√3 , prove that x³-2x²-7x+5=3

prohojiy [21]

$x=\frac{1}{2}-\sqrt3\\\\x^3-2x^2-7x+5=3\\\\(\frac{1}{2}-\sqrt3)^3-2(\frac{1}{2}-\sqrt3)^2-7(\frac{1}{2}-\sqrt3)+5\\\\=(\frac{1}{2})^3-3\cdot(\frac{1}{2})^2\cdto\sqrt3+3\cdot\frac{1}{2}\cdot(\sqrt3)^2-(\sqrt3)^3-...\\\\...-2[(\frac{1}{2})^2-2\cdot\frac{1}{2}\cdot\sqrt3+(\sqrt3)^2]-\frac{7}{2}+7\sqrt3+5$

$=\frac{1}{8}-\frac{3\sqrt3}{4}+\frac{9}{2}-3\sqrt3-2(\frac{1}{4}-\sqrt3+3)-\frac{7}{2}+7\sqrt3+5\\\\=\frac{1}{8}+\frac{9}{2}-\frac{1}{2}-6-\frac{7}{2}+5-\frac{3}{4}\sqrt3-3\sqrt3+2\sqrt3+7\sqrt3\\\\=\frac{1}{8}+\frac{1}{2}-1+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{1}{2}+5\frac{1}{4}\sqrt3=\frac{1}{8}-\frac{4}{8}+5\frac{1}{4}\sqrt3\\\\=-\frac{3}{8}+5\frac{1}{4}\sqrt3\neq3$

6 0

2 years ago

An area of 3.5m² is the same as 350000mm². True or false. Justify your answer

Vsevolod [243]

No, because to convert meter to millimeter you'll have to multiply the length value by 1000 which will give you 3500.

3.5 × 1000

= 3500.

have a great day!

3 0

2 years ago

Read 2 more answers

An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

nalin [4]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

brainly.com/question/21286835

#SPJ1

5 0

2 years ago

15 is what percent of 600? Pls show work

chubhunter [2.5K]

Answer:

Step-by-step explanation:

600(.15) = 90

8 0

2 years ago

Read 2 more answers

B) 2x² - 4x + 3 = 0 a) x² + 3x – 10 = 0

kozerog [31]

Answer:

a. x = 2 , x = -5

b. no real roots

Step-by-step explanation:

a. x² + 3x – 10

= x² - 2x + 5x - 10

= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)

= (x - 2) (x + 5)

x - 2 = 0 x + 5 = 0

+ 2 +2 -5 -5

-------------- ---------------

x = 2 x = -5

x = 2 , x = -5

b. 2x² - 4x + 3

This can't be solved because the equation has no real roots, and also the discriminant is negative.

3 0

2 years ago