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Valentin [98]
3 years ago
13

What is the range of the linear parent function

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

Answer:

The range of the linear parent function is all real numbers. It can also defined as (-∞,∞).

Step-by-step explanation:

The linear parent function is in the form of

y=x

This function is defined for all values of x. It means the domain of linear parent function is the set of all real numbers.

Domain=(-\infty,\infty)

According to this function, the value of y is equal to the value of x. It means the function has same input and output values. It means the range of linear parent function is the set of all real numbers.

Range=(-\infty,\infty)

Therefore the range of the linear parent function is all real numbers. It can also defined as (-∞,∞).

kotegsom [21]3 years ago
5 0

Answer:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Step-by-step explanation:

The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).

Characteristics of the Linear Function: Domain: the set of all real numbers.

Range: the set of all real numbers.

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In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest
balandron [24]

Answer:

715 pounds

Step-by-step explanation:

<em>FV = solve</em>

<em>PV = 600</em>

<em>I% = 6</em>

<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)

Plug it in:

<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

<em>Therefore, the fee in 2016 is 715 pounds.</em>

6 0
3 years ago
-|7(-5)+7(-8)|-|-6(-7)|
sweet-ann [11.9K]

Answer:

543d3fff4r3

Step-by-step explanation:

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6 0
3 years ago
Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha
LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be x and y the amounts of nickels and dimes that Carrie and Joan have, as c the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.

The following equations are constructed after a careful reading on statement:

Carrie's amount of money:

0.05\cdot x = c (Eq. 1)

Joan's amount of money:

0.10\cdot y = c (Eq. 2)

Relation between amounts of coins:

x = y+40 (Eq. 3)

First we eliminate c by equalizing (Eq. 1) and (Eq. 2):

0.05\cdot x = 0.10\cdot y

Then, we reduce the resulting formula by (Eq. 3):

0.05\cdot (y+40) = 0.10\cdot y

y+40 = 2\cdot y

y = 40

And rest of variable are now determined:

x = 40+40

x = 80

c = 0.05\cdot (80)

c  = 4

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

5 0
3 years ago
The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expect
IRISSAK [1]

Answer:

5 cars

Step-by-step explanation:

If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.

7 0
3 years ago
Solve for x: 5(x-2)+7=65-4(5x-8)<br> SHOW STEPS PLZZZZZZ HELP
miskamm [114]

5(x-2)+7=65-4(5x-8)

We move all terms to the left:

5(x-2)+7-(65-4(5x-8))=0

We multiply parentheses

5x-(65-4(5x-8))-10+7=0

We calculate terms in parentheses: -(65-4(5x-8)), so:

65-4(5x-8)

determiningTheFunctionDomain

-4(5x-8)+65

We multiply parentheses

-20x+32+65

We add all the numbers together, and all the variables

-20x+97

Back to the equation:

-(-20x+97)

We add all the numbers together, and all the variables

5x-(-20x+97)-3=0

We get rid of parentheses

5x+20x-97-3=0

We add all the numbers together, and all the variables

25x-100=0

We move all terms containing x to the left, all other terms to the right

25x=100

x=100/25

x=4

6 0
3 years ago
Read 2 more answers
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