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3 years ago

Identify the translation of the parent function for y = |x + 8|. 8 units up 8 units right 8 units down 8 units left

2 answers:

6 0

Hi there!

• Parent function :-
$y = | x |$

Shift 8 units left in th' Cartesian plane
To gain : $y = | x + 8 |$

Hence,
Option ( 4. ) 8 units left is Correct.

~ Hope it helps!

padilas [110]3 years ago

5 0

Hi there

The parent function is the following:
$y = |x|$

We need to translate the function 8 units left to get the function: $y = |x + 8|$

Therefore the answer is: 8 units left.

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

6 0

2 years ago

Omas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola

Serga [27]

Answer:

Omas can buy 1 pound of walnuts.

Step-by-step explanation:

From the information given, you can say that the total cost would be equal to the result of multiplying the price per pound of granola for the number of pounds of granola plus the result of multiplying the price per pound of walnuts for the number of pounds of walnuts, which would be:

Total cost=2x+6y, where

x is the number of pounds of granola

y is the number of pounds of walnuts

Now, you can replace the values on the formula and solve for y:

12=(2*3)+6y

12=6+6y

6=6y

y=1

According to this, the answer is that Omas can buy 1 pound of walnuts.

4 0

2 years ago

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Plsss helpppppppppp if you do, you a cool guy or girl

STatiana [176]

9514 1404 393

Answer:

Tyler
2 hundredths of a mile

Step-by-step explanation:

The graph is a little difficult to read, but we note that there are 6 grid lines between times that are 2 minutes apart. So, each grid line stands for 2/6 = 1/3 minute.

At the 1-mile mark, the graph crosses 1 grid line above 8 minutes, indicating it takes Tyler 8 1/3 minutes to run 1 mile.

Then in 10 minutes, Tyler will run ...

distance = speed · time = 1 mile/(8 1/3 min) · 10 min

= 1/(25/3)·10 = 10·3/25 = 30/25 = 1.2 . . . . miles

The equation tells you that Elena runs each mile in 8.5 minutes. To see how far she runs in 10 minutes, we can solve ...

10 = 8.5x

x = 10/8.5 ≈ 1.18 . . . . miles

So, Tyler runs farther in 10 minutes by a distance of ...

1.20 -1.18 = 0.02 . . . . miles

8 0

3 years ago

a recipe that serves 2.people calls.for.1600 mg of baking soda..if.you want to make enough for 10 people how.much will you need

ch4aika [34]

8 grams
(i think) hope this helps

(sry if its wrong)

8 0

3 years ago

To be considered similar, two polygons must have corresponding sides that are ______.

Bond [772]

Corresponding sides must be proportional and corresponding angles are congruent.
LetterA

7 0

2 years ago

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