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svet-max [94.6K]
3 years ago
8

If f(x) = 5x^3 - 2, then what is the remainder when f(x) is divided by x + 2​

Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer: -12

Step-by-step explanation: use synthetic division

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PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
2 years ago
2^x+5 = 3^1-x use logarithms to solve the exponential equation. round answer to 3 decimal places.
marysya [2.9K]
2^{x+5}=3^{1-x}\ \ \ \ \ /log_2()\\\\log_22^{x+5}=log_23^{1-x}\\\\x+5=(1-x)log_23\\\\x+5=log_23-xlog_23\\\\x+xlog_23=log_23-5\\\\x(1+log_23)=log_23-5\ \ \ \ /:(1+log_23)

x=\frac{log_23-5}{1+log_23}\\-------------\\log_23\approx1.5849625\\----------------\\x\approx\frac{1.5849625-5}{1+1.5849625}\approx-1.321
8 0
4 years ago
Read 2 more answers
4(10b-4) <br><br> Explain please
Angelina_Jolie [31]
<h3>Answer:   40b - 16</h3>

Work Shown:

4(10b-4)

4*10b - 4*4

40b - 16

I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).

4 0
2 years ago
Read 2 more answers
2.48030477 rounded to the nearest hundred-thousandth is
ValentinkaMS [17]
<span>2.48030, its rounded tenths 2.5  hundreths 2.48 thousands 2.480 ten-thousands 2.4803 then </span>hundred-thousandth 2.48030
3 0
3 years ago
Find two consecutive integers whose product is 5 less than the square of the smaller number
S_A_V [24]
<span>
The product of -5 and -4 is 20
The square of the smaller number, -5, is 25.
The product, 20, is indeed 5 less than 25, the square of the smaller number.</span>
3 0
3 years ago
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