Tyler wants to buy a new television that costs $312. He has already saved $96. He plans to save $24 per week over the nextfew weeks. Which shows the number of weeks Tyler will need to save to be able to buy the television?
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70-76 -12
16 30
070-76-17 **
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-20
that
-16
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-
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-16
-12
-8
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020 -16 -12
121
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16
20

Answer:

80+2h=72+4h

4hours

Step-by-step explanation:

80+2h=72+4h

80-72=4h-2h

8=2h

h=8/2

h=4

Answer:

It took 4 hours for the two cities to reach the same temp.

Step-by-step explanation:

Part 1

First, you will write an expression for each city.

Austin starts at 80°F and rises 2°F per hour. 80 is our starting point. 2 is how much is added each hour. The per hour means we need a variable.

Little Rock starts at 72°F and rises 4° per hour. 72 is our starting point. 4 is how much is added per hour. The per hour means we need a variable.

Second, you want to know when the cities are equal, so you set these expressions equal to each other.

Part 2

This is an equation with variables on both sides. You will need to follow a few steps to solve these problems.

Step 1: look for grouping symbols. This problem does not have any visible or invisible grouping symbols.

Step 2: Look at the left side. Are there any like terms? This problem does not have any like terms on the left side. Look at the right side. Are there any like terms? This problem does not have any like terms on the right side.

Step 3: Are there variables on the left and right side of the equal sign? (Look to the left of the equal sign; you will see 2h. The h is a variable on the left side. Look to the right of the equal sign; you will see 4h. The h is a variable on the right side.)

• The answer is yes. You will subtract the variable with the smaller coefficient from each side of the equal sign. ()
•                

Step 4: Are there constants on the left and right sides of the equal sign?

• The answer is yes (80 is on the left, and 72 is on the right.) You will subtract the constant on the same side on the equal sign as the variable. The 72 is on the right side with the 2h. You will subtract 72 from the left and right sides of the equal sign.      
•          

Step 5: Does the variable have a coefficient other than 1? (Is there a number written with the variable? Is the variable not 1?)

• Yes, the coefficient is 2. You will divide the right and left sides by 2. (8 divided by 2 equals 2, 2h divided by 2 equals 1h)
• 

You have now solved the equation for the variable. Remember h was defined in the problem as "the number of hours it took for the cities to reach the same temperature." This means that it took 4 hours for the cities to reach the same temperature. You can check this with a simple check

You substitute the 4 in the original expressions. If you did the work correctly, you will get the same answer for both equations.

Since both expressions produced the same answer when 4 was substituted the answer is correct.

1 is the smallest possible integer.

Given that: .

The discreminant of this equation is:

For imaginary zeros, we must get discreminant less than 0.

So,

Next integer of 0.2 is 1.

So 1 is the smallest possible integer.

Learn more: brainly.com/question/20521181

The question is incomplete, the complete question is

Determine the smallest integer value of a for which f(x) = ax² - 2x + 5 has imaginary zeroes. Show how you found  this answer

Answer:

The smallest integer value of a is 1

Step-by-step explanation:

To find the zeroes of a function equate it by 0, then find the values of x which are the zeroes of the function

To find the types of the roots (zeroes) of a function f(x) = ax² + bx + c use the discriminant of the function b² - 4ac

• If b² - 4ac > 0, then the function has two different real roots
• If b² - 4ac = 0, then the function has one real root
• If b² - 4ac < 0, then the function has no real roots (imaginary roots)

∵ f(x) = ax² - 2x = 5

- To find its zeroes equate f(x) by 0

∴ ax² - 2x + 5 = 0

∵ f(x) has imaginary zeroes

- That means the discriminant is less then zero

∴ b² - 4ac < 0

∵ a = a, b = -2 and c = 5

- Substitute them in the inequality above

∴ (-2)² - 4(a)(5) < 0

∴ 4 - 20 a < 0

- Add 20 a to both sides

∴ 4 < 20 a

- Divide both sides by 20

∴ 0.2 < a

- That means a is greater than 0.2

∴ a > 0.2

∵ You must to find the smallest integer value of a

- The first integer greater than 0.2 is 1

∴ a = 1

The smallest integer value of a is 1

Answer:

30 pieces for $4.20 is a better deal

Step-by-step explanation:

4.20/30=0.14 per piece

3.60/24=0.15 per piece

Answer:

the bag for $420 because you are paying 14 cents per piece of candy instead of 15 per piece