The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.

Answer:

i think the first one

Step-by-step explanation:

To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality 3x <= 62.

To represent the situation where Russell wants to buy 3 identical gift cards and make sure his total cost is no more than $2 above or below $60, we can use the inequality:

3x <= 62

where x represents the cost of each gift card. This inequality ensures that the total cost of 3 gift cards does not exceed $62, which is $2 above $60.

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The number is 182,000.

We needs to find a number that, when 5000 is added to it, equals 187,000. To solve this, we will perform a subtraction operation.

Step 1: Recognize that '5000 more than the number' means we will add 5000 to the number.

Step 2: The result is given as 187,000. So, we set up the equation as follows:

Number + 5000 = 187,000

Step 3: To find the original number, we subtract 5000 from 187,000.

Number = 187,000 - 5000

Step 4: Perform the subtraction to find the number.

Number = 182,000

Therefore, the number is 182,000.

The measure of angle S is [tex]38^\circ[/tex] and the measure of angle T is [tex]111^\circ[/tex] and this can be determined by using the property of sum of interior angles.

Given :

Apply the property of the sum of the interior angles of the triangle in order to determine the angles R, S, and T.

[tex]\rm \rm \angle R +\rm \angle S+\rm \angle T = 180^\circ[/tex]

31 + (x + 4) + (3x + 9) = 180

Simplify the above equation in order to determine the value of 'x'.

4x + 13 = 149

4x = 136

[tex]\rm x = 34^\circ[/tex]

Now, the measure of angle S is:

[tex]\rm \angle S = x + 4 = 34 + 4 = 38^\circ[/tex]

[tex]\rm \angle T = 3x + 9 = 3(34) + 9= 111^\circ[/tex]

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The gratuity for the service provided is $180.

Initial Repair Cost = $1,200

Sales Tax = 6%

Gratuity = 15%

Therefore, based on the above information, the gratuity will be:

= Gratuity percentage × Cost

= 15% × $1200

= 0.15 × $1200

= $180

Therefore, the gratuity is $180

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Answer:

hecc

Step-by-step explanation:

the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.

The problem states that a family of three shares a cell phone plan with 675 minutes per month and asks how many minutes are left if each person uses exactly 250 minutes.

Here's the step-by-step calculation:

1. Calculate the total minutes used by all three people:

  Each person uses 250 minutes, so for three people, the total usage would be [tex]\( 250 \times 3 \).[/tex]

2. Subtract the total usage from the total minutes available in the plan:

  The plan has 675 minutes, so we subtract the total usage from this amount to find out how many minutes are left.

Let's do the math:

1. Total minutes used by three people:

[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]

2. Minutes left in the plan:

[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} \][/tex]

If the calculation results in a negative number, it means that the family has used more minutes than the plan provides. Let's calculate.

The total minutes used by three people, each using 250 minutes, is:

[tex]\[ 250 \text{ minutes/person} \times 3 \text{ people} = 750 \text{ minutes} \][/tex]

When we subtract the total minutes used from the total plan minutes:

[tex]\[ 675 \text{ minutes} - 750 \text{ minutes} = -75 \text{ minutes} \][/tex]

This means that the family has exceeded their available minutes by 75 minutes. There are no minutes left; instead, they have gone over their limit.

Answer:

12 9/10

Step-by-step explanation:

You take 4x3 = 12 and then add in the 3/10x3 which is 9/10 so you can write this as 12.9 or 12 and 9/10

The measure of its complement and its supplement will be 90° - x° and 180° - x°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

An angle measures x°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees. Then the angle will be

⇒ 90° - x°

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees. Then the angle will be

⇒ 180° - x°

Then the measure of its complement and its supplement will be 90° - x° and 180° - x°.

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To find the number of servings, divide the total amount of mashed potatoes (47 1/2 cups) by the amount in each serving (1 1/4 cups), resulting in 38 servings.

To calculate the number of servings the cook made, we need to divide the total amount of mashed potatoes by the amount in each serving:

First, we have 47 1/2 cups of mashed potatoes in total.

We know that one serving is 1 1/4 cups of mashed potatoes.

To find out how many servings there are, divide the total cups (47.5) by the cups per serving (1.25):
47.5 ÷ 1.25 = 38 servings.

So the cook made 38 servings of mashed potatoes.