What is the graph of Y=2|3x-3|-4

Answers

Answer 1
Answer: y = 2|3x - 3| - 4
y = 2|3(x - 1)| - 4
y = 6|x - 1| - 4

The graph is a V shaped graph with vertex at (1, -4), x-intercepts at (1/3, 0) and (5/3, 0) any y intercept at (0, 2).

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Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, d, after that. He writes the expression 10 + 0.5(d – 1) to find the amount of money in his account after d days. Which statement about his expression is true?

Y=-2x
x+y=3
What is the value of x?

Answers

Step-by-step explanation:

x+y=3

y=2x

x+2x=3

x=3-2x

it's your required answer

Answer:

x=-3

If you need to find the value of y than substitute x=-3 into equation (1) .

Tarik is trying to save $265.49 to buy a new tablet. Right now, he has $40 and can save $38 a week from his allowance. Write and evaluate an expression to represent the amount of money saved after ; 2 weeks 3 weeks 4 weeks When will Tarik have enough money to buy the tablet? Write an inequality that will generalize the problem.

Answers

Answer:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

Step-by-step explanation:

To represent the amount of money saved after a certain number of weeks, we can use the expression:

Amount of money saved = $40 + ($38 * number of weeks)

Let's evaluate this expression for 2 weeks, 3 weeks, and 4 weeks:

For 2 weeks:

Amount of money saved = $40 + ($38 * 2)

Amount of money saved = $40 + $76

Amount of money saved = $116

For 3 weeks:

Amount of money saved = $40 + ($38 * 3)

Amount of money saved = $40 + $114

Amount of money saved = $154

For 4 weeks:

Amount of money saved = $40 + ($38 * 4)

Amount of money saved = $40 + $152

Amount of money saved = $192

To determine when Tarik will have enough money to buy the tablet, we need to set up an inequality. Let's represent the cost of the tablet as C:

Amount of money saved >= Cost of the tablet (C)

In this case, the cost of the tablet is $265.49. Therefore, the inequality becomes:

$40 + ($38 * number of weeks) >= $265.49

To solve this inequality, we can subtract $40 from both sides:

$38 * number of weeks >= $265.49 - $40

$38 * number of weeks >= $225.49

Finally, we divide both sides of the inequality by $38 to solve for the number of weeks:

number of weeks >= $225.49 / $38

number of weeks >= 5.93 (approximately)

Since the number of weeks must be a whole number, Tarik will have enough money to buy the tablet after 6 weeks.

To summarize:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

Answers

These are the choice given. I'll just substitute x with 1 and 2 to see if the amount corresponds to the given amount.
A.    y = 7591.96(1.02)x
  y = 7,591.96(1.02)¹ = 7,743.80 
  y = 7,591.96(1.02)² = 7,898.68

B.   
y = 7591.96(0.02)x
y = 7,591.96(0.02)¹ = 151.84
y =7,591.96(0.02)² = 3.04

C.   
y = 7595(1.02)x    THIS IS THE CORRECT EQUATION.
y = 7,595(1.02)¹ = 7,746.90
y = 7,595(1.02)² = 7,901.84

D.   
y = 7595(0.02)x
 

What does this mean f(5)=-10

Answers

You have to find f. F= -2

Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?

Answers

Answer:

6.6 ounces left

Step-by-step explanation:

Take the amount she had and subtract the amount she used

8.3-1.7 =6.6

Answer:

She has 6.6 ounces left.

Use the quadratic formula to solve 2y2 – 10y + 8 = 0.

Answers

2y^2-10y + 8 = 0\n \na=2, \ b=-10 , \ c= 8 \n \n\Delta =b^2-4ac = (-10)^2 -4\cdot2\cdot 8 = 100-64=36 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(10-√(36))/(2\cdot 2 )=( 10-6)/(4)=(4)/(4)= 1\n \nx_(2)=(-b+√(\Delta) )/(2a)=(10+√(36))/(2\cdot 2 )=( 10+6)/(4)=(16)/(4)= 4