MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

f(x) = (x+1)^2

Step-by-step explanation:

Function transformations move a graph by shifting it up or down or left or right as well as vertically or horizontally stretching it. They take the parent function and manipulate the equation to create a new graph. The parent graph here is x^2 and its shifts 1 unit to the left. Horizontal shifts occur within the operation such as (x+/-a)^2. Here it would be (x+1)^2 since it moved 1 unit to the left. Left is addition and subtraction is right.

MIDDLE SCHOOL

erins water bottle holds 600 milliliters of water. dylans water bottle holds one liter of water whose water hasthe greater capacity? how much greater

1000mL=1L

Dylan's bottle holds more

1000mL-600mL= 400mL

It hold 400mL more

Dylan's bottle holds more

1000mL-600mL= 400mL

It hold 400mL more

One liter is 1000 milliliters so dylan's holds more.

to find how much simply subtract 600 from 1000 to get the 400 milliliter difference.

to find how much simply subtract 600 from 1000 to get the 400 milliliter difference.

MIDDLE SCHOOL

describe a situation that can be modeled by the integer -15 explain what zero represents in the situation

Answer:

Step-by-step explanation:

The current weather in a strange place is known to be 0 degrees, after a couple of hours, the weather has dropped 15 degrees, making the day much more colder than usual. What's the degree after the weather has dropped?

Solution:

0-15=-15

COLLEGE

K = {(2, 1), (3, 2), (4, 1), (5, 3)} Is K-1 a function and why?

If your question regards K⁻¹, the inverse of the function K, then the answer is, ...

... No. K⁻¹ is not a function.

The range of K is {1, 2, 1, 3} which includes 1 twice. This would be the domain of the inverse relation. A relation that has repeated values in its domain is not a function.

The domains for this equation are (2,3,4,5) and the ranges for these equations are (1,2,1,3), so because there is no repetition for the x values, then k,-1 is a function. I say this because (2,1)= (-2,-1), (3,2)=(-3,-2), (4,1)=(-4,-1), and (5,3)=(-5,-3), so there is still no repeating x's. so, yes

MIDDLE SCHOOL

680 is 34% of what number

Convert percentage to a decimal:

34% = 34 ÷ 100 = 0.34

680 is 34% of what

680 ÷ 34

680 ÷ 0.34

2000

680 is 34% of 2000

34% = 34 ÷ 100 = 0.34

680 is 34% of what

680 ÷ 34

680 ÷ 0.34

2000

680 is 34% of 2000