What do you notice about the y-coordinates before and after a horizontal stretch? A) The y-coordinates increase after a horizontal stretch. B) The y-coordinates decrease after a horizontal stretch. C) The y-coordinates remain the same after a horizontal stretch. D) The y-coordinates are not affected by a horizontal stretch.

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Solve each equation for the indicated variable
T=an+b (solve for B)

Answers


You said that                                    T        = an + b

Subtract ' an ' from each side:          T - an =        b

Did you follow that ?

Solve using order of operations.
16 + (4 ∙ 2) – 3

Answers

Answer: 21

Order of operations, multiply first

16 + (4 x 2) - 3

= 16 + (8) - 3

Then add/subtract as needed from left to right

24 - 3

= 21

Answer:

The answer would be 21.

Step-by-step explanation: First, you would multiply what is in the parentheses, 4 x 2 = 8.

Next, you add. 16 + 8 = 24

Then, you subtract. 24 - 3 = 21.

Elena and Tomas rented a room in a restaurant for their wedding reception. They had to pay a rental rate of $160 plus $15 for the dinner of each guest who attended. They could not afford to pay more than $520 for the reception. Which inequality can be used to find how many guests (

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of guests be represented by x.

The information given can then be used to generate an inequality that goes thus:

160 + 15x ≤ 520

15x ≤ 520 - 160

15x ≤ 360

x ≤ 360/15

x ≤ 24

The number of guests should be at most 24

Based on the drawing, Which can be used to prove PQR ≅ STV?1. SSS
2. SAS
3. ASA
4. AAS

Answers

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS  (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus,  PQR ≅ STV  ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.


Answer:

SAS

Step-by-step explanation:

GIVEN: PR ≅ SV (side)

GIVEN: ∠R ≅ ∠V (angle)

GIVEN: QR ≅ TV (side)

The local fire station is holding a pancake breakfast. They need 14 quarts and 2 cups of buttermilk to make the pancakes. The buttermilk at the store is sold in 1 pint containers. How many pints of buttermilk do they need to purchase?

Answers

Why do they need so much pancakes?

Final answer:

To make the pancakes for the fire station's breakfast, they need to purchase 29 pints of buttermilk.

Explanation:

To calculate the number of pints of buttermilk the fire station needs to purchase, we need to convert the given amount of buttermilk into pints. There are 2 cups in a pint, so we can convert the 14 quarts and 2 cups into pints.

There are 4 cups in a quart, so 14 quarts is equal to 14 * 4 = 56 cups. Adding the 2 cups, we have a total of 56 + 2 = 58 cups.

Since there are 2 cups in a pint, we divide the total number of cups by 2 to get the number of pints needed. Therefore, 58 cups is equal to 58 / 2 = 29 pints of buttermilk.

Learn more about converting units of measurement here:

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F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _ the range for the function that represents the amount of money that is in the college fund is _

Answers

Answer:

1.) Domain X = all positive real numbers

2.) Range: F(x) > = 5450

Step-by-step explanation:

Given that

F(x) = 5,450(1.024)^x

Where the domain is the independent variable X and the range is the dependent variable Y or F(x)

Since the domain for the function represents the amount of time the money will be in the college fund, time cannot be negative, it will always be positive.

Therefore, domain x will be all positive real numbers.

The least domain x = 0

Substituting domain into the equation will give us a range of value:

F(x) = 5450 × ( 1.024 )^0

F(x) = 5450 × 1

F(x) = 5450

That is, the least value of range = 5450

Therefore, Range will be F(x) greater than or equal to 5450.

F(x) > = 5450