MATHEMATICS HIGH SCHOOL

You measured 6 cups of water and 5 cups of lemon juice to make how many total quarts of lemonade? quarts cups

Answers

Answer 1

Answer:

Total cups of lemonade:

6 cups + 5 cups = 11 cups

Total quarts and cups of lemonade:

11 cups ÷ 4 cups = 2 quarts 3 cups

Answer 2

Answer:

1 quart is 4 cups so 11 cups is 2.75 quarts

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1) Find the inverse function of f(x)=1/2x+32)Use composition to verify that they are inverse relations?
3) f^ Domain : Range:
4) f^-1 Domain : Range:

Answers

y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function

x - 3 =1/2 y
y = 2x- 6

f-(x) = 2x - 6

for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ ) - { 0 }
range f-(x) :( -∞ , +∞)

To find the inverse function you need to change $f(x)$ (call it $y$ ) and $x$ , then solve for $y$ :

$y = (1)/(2)x+3 \n x = (1)/(2)y + 3 \n x - 3 = (1)/(2)y \n 2x-6 = y$

So now you have $f^(-1)(x) = 2x-6$ .

Composition to prove inverse relation: $f \circ f^(-1) (x) = x$ :

$f(f^(-1)(x)) = (1)/(2)(2x-6)+3 = x - 3 + 3 = x \square$

Domain and Range of both functions is Real numbers since they are both linear equations.

I need this answered fast

Answers

Answer:

a= domain = 3x range = 21-3 = 18

b= $200 As 0(B) = Point of origin balance = midway to $400

= 0 < 200 > 400 = midway 200.

c=function notation = 3x -3x + 6 = 21 we change the 3x to cancel out any balance.

d= 4th segment shows day 12 to day 15 across the x axis.

ok we see and count after reading this it has 21 days in total approx and 12th day it shows the function went to 12 days.

We can write F(x) = 12x+6 to equal the change in value then we need to distribute 12 x = 6

Which is the same as 9 days money = 6 days money

As 3 days was made reference to day 12- day 15 where she had zero in account. We can minus - 3 also to represent her last savings before adding the balance of 6.

ok no interest the maximum was $400 the zero y intercept (0.0)= $200

This makes everything so easy now.

We count 21 days = 21 this is what we will end with

Let 4 be x

4x -3 + 6

We count 5 change $ values 0, 1 , 2, 3, 4 on the graph and also 4 in repeat which makes the 400.

or could mean she started with 400 and the rest is interest. Now we know this we cna start writing a domain and i will keep this open and edit and try work this out for you.

Step-by-step explanation:

The last step for question one is converting 12 into 12

This means 4x = 3 so we change it to

3x -3 +6 = 21

Then you now can recognize and accept x = 4

Answer:

(a)

Domain: 0 to 21

Range: 0 to 400

(b)

B(0) = 200.

(c)

B(12) = 0

(d)

Segment 4. The value of B(d) in Segment 4 is 0.

Step-by-step explanation:

(a) The domain is the number of days. The range is the amount of money which is the number of dollars. The account was open for 3 weeks, and the graph shows the entire 3 weeks. 3 weeks = 21 days; the highest amount of money was $400.

Domain: 0 to 21

Range: 0 to 400

(b) B(0) is very close to half of the maximum value of B(d). Since the maximum value of B(d) = 400, B(0) = 200. B(0) means the value of the function at time 0. The account was opened with an initial deposit at time = 0. B(0) is the value of the account at time = 0 which is the initial deposit made to open the account.

(c)

B(12) = 0

(d)

There are 6 segments:

Segment 1: B(d) goes from $200 to $400.

Segment 2: B(d) remains at $400.

Segment 3: B(d) goes from $400 to $0.

Segment 4: B(D) remains at $0.

Segment 5: B(d) goes from $0 to $100.

Segment 6: B(d) goes from $100 to $300.

In Segment 4, the value of B(d) is 0, so Segment 4 represents days 12 through 15.

How many 0.4 litter glasses of water does it take to fill a 3.4 litter pitcher

Answers

So, basically what you have to do is . . .

3.4/0.4
8.5
8.5 glasses of water

Answer: 8.5 glasses of water

5+ 10 + 6x 1/10 + 7x1000 in decimal form.

Answers

Remember order of operations. Please (Parenthesis and brackets) Excuse (exponents) My (multiplication) Dear (Division) Aunt (Add) Sally (Subtract). Also remember that multiplication and division as well as addition and subtraction should go from left to right. So if you were to do this problem first I'd convert the fraction 1/10 to a decimal. That's like saying 1 in 10 or 10%. So it should convert to .10 x 6 = 0.60 and don't forget to multiple 7 x1000 next. (Left to right). 7,000. So it becomes 5+10+0.60+7,000 then add. 7,015.60 is your answer.

Pls help me i’m so stuck