Raphael graphed the functions g (x)=x+2 and f (x)= x-1. how many units below the y-intercept of g (x) is the y-intercept of f (x)? the y-intercept of f (x) is ____ units below the y-intercept of g (x)

Answers

Answer 1

Answer: In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.

Answer 2

Answer:

Answer:

(D) 3

Step-by-step explanation:

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36 litres of a mixture contains milk and water in the ratio 2 : 1. how much water is to be added to get a new mixture containing milk and water in the ratio 1 : 1?

Answers

Answer:

12 liters of water should be added to the current mixture to obtain a new mixture containing milk and water in a 1:1 ratio.

Step-by-step explanation:

solve this problem, we can follow these steps: Step 1: Determine the current amounts of milk and water in the mixture. The ratio of milk to water in the current mixture is 2:1. Since there are 36 liters of the mixture in total, we can calculate the amounts of milk and water as follows: Amount of milk = (2/3) * 36 = 24 liters Amount of water = (1/3) * 36 = 12 liters Step 2: Determine the new total volume of the mixture. To achieve a 1:1 ratio of milk to water, the total volume of the new mixture will be the sum of the amounts of milk and water, which is 24 + 12 = 36 liters. Step 3: Determine the amount of water to be added. Since we want the ratio of milk to water to be 1:1, the amount of milk and water in the new mixture will be equal. Therefore, we need to add an additional 12 liters of water to the current mixture.

A coffee pot makes about 60 ounces of coffee. each of your coffee mugs can hold one cup of liquid. how many mugs can you fill?

Answers

The conversion factor between cup and ounces is that one customary cup contains 8 ounces. The number of mugs (m) that can be filled is the ratio between the available amount of coffee (c) and the volume (v) that the mug can hold.
m = c / v
m = (60 ounces) / (8 ounces / mug) = 7.5 mugs

Thus, you can fill only 7 cups and the 8th cup is only half full.

Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?Bly 13 x

Answers

Answer:

$60

Step-by-step explanation:

Method 1

We want to know how much money Roman originally has considering if he spends $15, then he has $(1)/(4)$ of the original amount left. So,

We know that $(1)/(4)$ = 15 so $(2)/(4)$ = 30 and double that will get 60 so 60 is the original amount

Method 2

Lets call the original amount 'x'

If he spends $15 he has $(1)/(4)$ of the original amount so,

$(1)/(4)$ x = 15

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided 15 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$(1)/(4)$ x = 15

→ Multiply both sides by 4 to isolate x

x = 60

So $60 was the original amount

A bag contains 6 oranges, 10 grapefruits, and 8 tangerines. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit is NOT chosen?