MATHEMATICS HIGH SCHOOL

Which function represents the equation of the line? A. f(x)= -x-4
B. f(x)= -x+4
C. f(x)= x-4
D. f(x)= x+4
Which function represents the equation of the line? A. f(x)= - 1

Answers

Answer 1
Answer:

Answer:

f(x)= x-4

Step-by-step explanation:

I just took the test :)
Answer 2
Answer:

Since the line goes from bottom left to top right, the slope is positive. So, the answer is either C or D.

Moreover, the function passes through [/tex] (0,-4) [/tex], which means that the answer is C. In fact, you have

f(x) = x-4 \implies f(0) = 0-4 = -4

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The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

Answers

Since the value decreases by 25% each time, the next cost is the current cost times 0.75 (since new cost is 75% of current cost).
To find the value of the book after x times sold, you can use:
cost = 85(0.75)^x 
Just plug in the number of times it is resold to find the value.
A exponential function would represent it nicely f(x)=b*a^x
Reason being a decrease of %
a = 1+r
r = -25% = -0.25
And b being what the original cost of the book
f(x)=85*0.75^x
Where f(x) is the price after x amount of previous owners

The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Write a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables of this function.

Answers

If hours is represented as h, your distance is therefore 3*h (due to that for every hour, you walk 3 miles. For example, in one hour you'd walk 3 miles, in 2 hours you'd walk 3+3=3*2=6 miles,etc.). If distance is represented by d, we get 3*h=d. Since you have to figure out the distance from the equation (that's the purpose of it!), the distance is the dependent variable. In addition, since you can't have 2 separate variables in one equation, h is the independent variable due to that you have to put a number for h in to figure out the distance 

Answer:d

Step-by-step explanation:

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?

Answers

The number of hard puzzles solved by Tina using a system of equations is 15

Using the relation :

  • Number of easy puzzles = a
  • Number of hard puzzles = b
  • Points earned per easy puzzle = 30
  • Points earned per hard puzzle = 60
  • Total Number of puzzles = 50
  • Total points earned = 1950

The system of equation representing the scenario can be written thus :

a + b = 50 - - - - - (1)

30a + 60b = 1950 - - - - (2)

From (1)

a = 50 - b - - - - - - (3)

Substitutea = 50 - b in (2)

30(50 - b) + 60b = 1950

1500 - 30b + 60b = 1950

1500 + 30b = 1950

30b = 1950 - 1500

b = 450 / 30

b = 15

Therefore, the Number of hard puzzles solved is 15

Learn more :brainly.com/question/18796573

This is a system of equations. We can solve it by recognizing the two linear equalities we've given to solve this equation.

First, let's start off by recognizing two variables: x and y. x will be our number of hard puzzles, and y will be our number of easy puzzles. We're given that the number of hard puzzles and easy puzzles sum to 50, so we can rewrite that as:

x+y=50

Next, we're given that the sum of the points gained from the hard puzzles (60x), and the number of points gained from the easy puzzles (30y), sum to 1950. We can rewrite that as:

60x+30y=1950

Now, we have our two linear equations, and we must solve for the hard puzzles, so x. Solving for the hard puzzles means eliminating the easy puzzles from our systems, so we can multiply our first equation by 30, and subtract it from the first equation. This is a technique called elimination.

30x+30y=1500 \n 60x+30y=1950 \n 30x=450 \implies x=15

Since x=15, Tina has solved 15 hard puzzles.

For the function y = x + 4, what is the output value if 3 is the input value?y = 1
y = 7
y = 12
y = 34

Answers

y = 7 is the output value for the given function y = x+4.

What is a function?

It is an expression, rule, or law that defines a relationship between one independent variable and dependent variable.

Given function is

y = x+4

where y is the output value and x is the input value of the given function.

If x= 3 then y is given by

y = 3+4 = 7

Hence, for the given function y = x+4 the value of y is 7 when x is 3.

To learn more about function, use the link given below:

brainly.com/question/21145944

#SPJ5

Advantages and disavadtages for paying with checks

Answers

Advantages: when its paying by check you can earn credit history
Disadvantages: Mishandling of account and exceeded expenses can cause a refund check and bad credit

Algebra help please!A high-speed train travels 480 km from Paris to Grenoble, France, at an average speed of 180 km/h. How long will it take to reach Grenoble?

A. 0.66 h

B. 3.8 h

C. 0.38 h

D. 2.7 h

Answers

To solve this you would use the equation, d=r*t. So you would take 480=180*t. Or you could use t=480/180. The answer would come out to 2.66 hours, which means the answer would round up to 2.7 hours. The answer would be D.
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