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4 years ago

Write an equation for each translation of y=|x|. 9 units down

1 answer:

3 0

To translate a function downwards by 9 units you simply subtract 9 from the function, because the resulting y value is reduced by 9 so the graph of y is reduced, shifted downwards by 9. So if:

y=|x| then this shifted downwards by 9 units is:

y=|x|-9

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

5/8 0.67 1.2 3/5 Greatest to least

SSSSS [86.1K]

1.2
0.67
5/8
3.5

I think this is what it would be.

4 0

3 years ago

PLEASE HELP USING THE GRAPH BELOW SELECT ALL STATEMENTS THAT ARE TRUE

Harlamova29_29 [7]

A definitely has to be one because it's a fact and you need to know what it looks like. B isn't true because the greatest integer function rounds down values. C is also not correct because a one-to-one graph has one x-value for every y-value. This one doesn't. D has to be true because f[0] = 0 because the Greatest Integer Function requires it to be. And E is also correct because that's in the definition of a Greatest Integer Function. So, your answers are A, D and E.

5 0

4 years ago

Read 2 more answers

S||P FIND VALUE OF Z !

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Please excuse my handwriting lol.