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3 years ago

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)

1 answer:

8 0

S(x) = x - 7; t(x) = 4x² - x + 3

(t · s)(x) = (4x² - x + 3)(x - 7) = (4x²)(x) + (4x²)(-7) - (x)(x) - (x)(-7) + (3)(x) + (3)(-7)

= 4x³ - 28x² - x² + 7x + 3x - 21 = 4x³ - 29x² + 10x - 21

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Thrice a number decreased by 5 exceeds twice the number by a unit find the number

viktelen [127]

Working attached below. Hope this helps! Any questions let me know :)

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2 years ago

Help!! Which of the following best represents Z1 • Z2 select all that apply

AURORKA [14]

$z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)$

$z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}$

$\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}$

$\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\$

$Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)$

$=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)$

On simplifying, we get

$Z_1* Z_2 =-3\sqrt{2}$

<h2>Therefore, correct option is 1st option.</h2>

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2 years ago

19. Write an algebraic expression for the phrase: 6 more than the product of 8 and n.

Sveta_85 [38]

(8xn)+6 would be your equation. please mark me as brainiest.

6 0

3 years ago

Read 2 more answers

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

$50^2 + h^2 = 250^2$

$h^2 = \sqrt{250^2 - 50^2}$

$h = 244.95$

The height of the building is of 244.95 feet.

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2 years ago

What is the domain of the given function? <br> {(3,-2), (6, 1), (-1,4), (5,9), (-4,0)}

grandymaker [24]

Answer:

D = { -4,-1,3,5,6}

Step-by-step explanation:

The domain is the x values or the inputs

D = { 3,6,-1,5,-4}

We normally put them in order from smallest to largest

D = { -4,-1,3,5,6}

4 0

3 years ago