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3 years ago

Helpp plz: use inverse operations to write the inverse of f(x)= x/2 - 1

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

f-1 (x) = 2x + 2

Step-by-step explanation:

f(x) = x/2 -1

y = x/2 -1

interchanging the position of x and y

x= (y-2)/2

2x =y - 2

y = 2x + 2

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

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Please help ASAP!!! Giving brainliest!

Fantom [35]

Answer:

Fraction

$\frac{2}{10}$

Decimal:

$0.2$

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3 years ago

Read 2 more answers

Tutor O-Rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math por

Novosadov [1.4K]

Answer:

See below

Step-by-step explanation:

The score increase was 35 points. They claimed an increase of at least 50 points. For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645. For a significance level of 1%, the z-score needs to be smaller than -2.325

The z score for our situation: z = (385 - 350)/50 = 0.7

The average score of 385 of Tutor O-Rama scores is not significantly different from the average of the other students SAT scores. The evidence doesn't support their claim of being effective tutoring.

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3 years ago

Use one method to find the LCM of the first set of numbers below. Use the other method to find the LCM of the second set. Show W

Nat2105 [25]

Answer:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Step-by-step explanation:

The LCM of 13 AND 17 is 221

The LCM of 40 AND 60 is 120

lcm (40; 60) = 120 = 23 × 3 × 5

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4 years ago

help The screen in a theatre is 22 ft high and is positioned 10 ft above the floor, which is flat. The first row of seats is 7 f

Stella [2.4K]

<span>(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.

tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)

tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)

Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)

(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]</span>

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3 years ago

Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups

Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

Nia mixed 1 teaspoon salt with 3 cups warm water.
Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

$\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\$

Thus 1 : 3 is equivalent to the ratio $\frac{1}{3}:1$ , which means that Nia's solution has $\frac{1}{3}$ teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is $\frac{1}{2}:1\frac{1}{2}$ in Trey’s solution.

On dividing the amount of salt and the amount of water by $1\frac{1}{2}$ , the ratio will be the same.

$\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1$

So Trey’s ratio is also equal to the ratio $\frac{1}{3}:1$ .

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

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3 years ago