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3 years ago

The graph of a function, f(x), is plotted on the coordinate plane.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

f(x-5) because when it's with the x, + indicates a translation to the left and - indicates a translation to the right.

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PLEASE SOMEONE HELP ME

mylen [45]

Answer:

Step-by-step explanation:

4 0

2 years ago

A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What

kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

Solution:

Let width = $x\ cm$

Length = $x+3\ cm$

Height = $x+3+4=x+7\ cm$

As we know:

$Volume\ of\ box=length\times width\times height$

$308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\$

As width can never be in negative, $x= 4\ cm$

By substituting the value:-

Width = $x\ cm$ = 4 cm

Thus, width of the box is 4 cm.

4 0

2 years ago

Complete the following statement. Write sometimes, always, or never. A trapezoid____ has exactly one pair of parallel lines

AURORKA [14]

Answer:

always

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

2-3. The triangles below are drawn to scale and congruent sides and angles are indicated with tick marks.

mihalych1998 [28]

Answer: The triangles are congruent by SAS(side-angle-side)

Step-by-step explanation:

The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).

6 0

2 years ago

1/2(3)(5+7) whats the answer?

lina2011 [118]

First add what's in the parenthesis 1/2(3)(12)
then multiply 2 and 12 to get 1/2(36)
finally divide 36 by 2 and get 13

6 0

2 years ago

Read 2 more answers