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3 years ago

Consider the polynomial operation 3x(x − 2)(5x + 2). Is the expression equivalent? Select Yes or No for A‐D.

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Answer:

see attached

Step-by-step explanation:

3x(x − 2)(5x + 2)

(x − 2)(5x + 2) expand
5x² - 8x - 4
3x ( 5x² - 8x - 4) expand
15x³ - 24x² - 12x

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Triangle ABC is shown below.

Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

$AB=AC\\\\2x=3x-7$

Simplify the equation, solving for x. Add 7 to both sides:

$2x+7=3x-7+7\\\\2x+7=3x$

Subtract 2x from both sides:

$2x-2x+7=3x-2x\\\\7=x$

The value of x is 7. Insert the value of x into the given length of AC:

$AC=3(7)-7$

Simplify multiplication:

$AC=21-7$

Subtract:

$AC=14$

Therefore, the length of the line segment AC is 14.

:Done

8 0

3 years ago

What’s the answer???

Over [174]

Answer:

Question 7 = $2

Question 8 = $16

8 0

3 years ago

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Six copies of a book cost $90. How much does each copy of the book cost?

IRINA_888 [86]

Each book costs $15. 90 divided by 6 is 15 which is also 90 over 6.

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2 years ago

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Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

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3 years ago

Louis age is three years more than twice the age of Sánchez . The sun of their ages is 39. How old are Sánchez and Louis ?

Vinvika [58]

Answer:

Sanchez- 42

Louis- 40

Step-by-step explanation:

hope this helps

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3 years ago