MATHEMATICS COLLEGE

Describe the steps that transform the graph of the function y=x^2 to y=2(x+3)^2. Which attributes are not affected by the transformation?

Answers

Answer 1

Answer:

Step-by-step explanation:

y=2(x+3)² y=x²

x²=2(x²+9+6x)

x²=2x²+18+12x

0=x²+18+12x

x²+18+12x=0

Answer 2

Answer:

Answer:

Step-by-step explanation:

shift 3 units left then stretch vertically 2 times

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Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?

Answers

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be $x$ , $y$ , $z$ the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

$0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75$ (Eq. 1)

In addition, we get the following identities:

i)He has three more nickels than dimes

$z + 3 = y$ (Eq. 2)

ii)And five times as many pennies as dimes

$x = 5\cdot z$ (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

$0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75$

$0.20\cdot z = 0.60$

$z = 3$

The remaining variables are $y = 6$ and $x = 15$ .

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Which of the following expressions are equivalent to - -a/b

Answers

Answer:

B) $-(a)/(-b)$

Step-by-step explanation:

1. First, we have to know that two negatives equal positive.

2. Given the information above, $-(-a)/(b)$ can simplify to $(a)/(b)$ .

3. Let's go through each answer choice and see which one also simplifies to $(a)/(b)$ .

$(a)/(-b)$
$-(a)/(b)$

$-(a)/(-b)$
$(a)/(b)$

Therefore, the answer is B) $-(a)/(-b)$ .

34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work

Answers

Answer:

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

Step-by-step explanation:

Given that:

Original price of video game = $28.50

Discount on original price = 35%

Sales tax = 10%

Money available with Pat and Henri = $21 each

First of all, let us find out the price as per Pat's method.

Step 1:

Taking 35% of $28.50

$\Rightarrow (35)/(100)* \$28.50 = \$9.975$

Step 2:

Subtract from $28.50 to find the sale price:

$28.50 - $9.975 = $18.525

Step 3:

Take 10% of sale price:

$\$18.525* (10)/(100) = \$1.8525$

Step 4:

Add to sale price to get the final amount to be paid:

$18.525 + $1.8525 = $20.3775

Now, let us use Henri's method:

Step 1:

Find 65% of original price:

$(65)/(100)* $28.50 = \$18.525$

Step 2:

Find 110%:

$(110)/(100)* \$18.525 = \bold{\$20.3775}$

Sale price of video game with tax = $20.3775

Yes, they both have enough money to purchase the video game.

Look at highlighted one. Help fast

Answers

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What is -5/8 + 3/4 I cannot seem to figure it out correctly thanks!

Answers

Step-by-step explanation:

-5/8 + 3/4

= -5/8 + 6/8

=1/8

Please help!! Will give 20 points!

Answers

Answer:

B. .32

Step-by-step explanation:

I think its B .32

Answer:

Step-by-step explanation:

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