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3 years ago

Can someone find the inverse and explain it step to step please!!!!!!! (FOR QUESTION 3)

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

Answer:

f^-1(x) = 4(x+5)/3

Step-by-step explanation:

Let f(x) = y

So, y = (3/4)x - 5

y + 5 = (3/4)x

4(y+5)/3 = x

The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.

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lewis rolls a number cube and then chooses a card from a set of cards numbered 1 through 5. What is the probability that he will

iragen [17]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

Sample Space for the Cube, A={1,2,3,4,5,6}

n(A)=6

Even Numbers in A={2,4,6}

Sample Space for the Cards, B={1,2,3,4,5}

n(B)=5

Even numbers in the card,B= {2,4}

The two events are INDEPENDENT Events as the outcome of the cube does not affect the card picked, therefore:

P(A and B)=P(A) X P(B)

= $\frac{3}{6} X \frac{2}{5}$

= $\frac{1}{5}$

3 0

3 years ago

Read 2 more answers

American Airlines spent over 6,651,297,000 on the direct maintenance of its planes. How would this number be written in verbal f

asambeis [7]

Six billion six hundred fifty-one million two-hundred ninety-seven thousand.

6,651,297,000 rounded to nearest hundred million = 6,700,000,000

3 0

3 years ago

Solve for k. 6 1 2k - 6 - 3

Taya2010 [7]

Answer:

k = 6.

Step-by-step explanation:

k = 6

2k = 12

12 - 6 - 3 = 3

k = 1

2k = 2

2 - 6 - 3 = -7

So, the answer is k = 6 because it makes more sense.

7 0

3 years ago

Help me pleaseeeeeeeee

natka813 [3]

Answer:

20 m

Step-by-step explanation:

Here, we will take,

The distance from top of the building to the tip of the shadow = Hypotenuse = 37 m

The length of shadow of the building = base = 32 m

let, height of the building = perpendicular = p

According to the Pythagoras Theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

h² = b² + p²

p² = h² - b²

p² = 37² - 32²

p² = 1369 - 1024

p² = 345

p = 18.57

and if we round the solution to nearest tenth it will be 20.

Hence, height of the building is 20 m.

7 0

3 years ago

Is this equation quadratic?? 2x² + y=2x²+3x

agasfer [191]

Answer:

yes, as written
no, as simplified

Step-by-step explanation:

The equation can be simplified by subtracting 2x² from both sides. Doing that leaves a linear (not quadratic) equation:

y = 3x

A quadratic equation is a polynomial equation such that the exponents of the variables in a term have a maximum total of 2. Here, the terms 2x² match that requirement, making this a quadratic equation.

8 0

3 years ago