Find the complex number to solve the equation: 9(2-4i) - 6(x+yi) = 14-3iPlease solve and explain in detail.

Answers

Answer 1

Answer: $9(2-4i)-6(x+yi)=14-3i\n18-36i-6x-6yi=14-3i\n-6x-6yi=-4+33i\n-6x=-4 \wedge -6y=33\nx=(4)/(6) \wedge y=-(33)/(6)\nx=(2)/(3) \wedge y=-(11)/(2)\n\n\boxed{x+yi=(2)/(3)-(11)/(2)i}$

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30 miles per hour.3,520 feet per minute.who runs faster and by how many miles per hour? There 5,280 feet in one mile

Answers

First let's convert 30 miles to feet.

30 x 5,280 = 158400

Now let's find how many feet the first person runs per minute.

158400/60 = 2640

The first person runs 2,640 feet per minute, and the second person runs 3,520 feet per minute.
Since the second person runs fast, let's find by how many miles per hour they're faster than the first person.

3520-2640 = 880
How many miles is 880 feet?
5280/880 = 0.17

The second person runs faster by 0.17 miles per hour.

Hope this helps! :)

Hello!

CORRECTION: "A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. "

OPTIONS:
A: A deer is 10 miles per hour faster than a bison.

B: A bison is 10 miles per hour faster than a deer.

C: A deer is 0.66 miles per hour faster than a bison.

D: A bison is 0.66 miles per hour faster than a deer.

This is what you meant right!? ^^^

I've done this Question before, so i'll Help You Then!

We 1st off, have to convert the ft/min speed into miles/hour:

3520 feet ... 1 mile ..... 60 minutes ... 3520 x 60 miles
-------------- x ------------- x ---------------- = ---------------
1 minute ... 5280 feet .... 1 hour .......... 5280 hours

= (3520 * 60) / 5280
= 40 miles/hour

The Correct Answer Is:
B. The bison is 10 miles per hour faster than a deer.

Hope this Helps! Have A Wonderful Day! :)

I am confused on this , I’ve tried twice and got it wrong.

Answers

Answer:

$f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$

Step-by-step explanation:

Consider the function $f(x)=√(4-x)+3$ for the domain $(- \infty, 4]$ .

Find $f^-^1(x)$ , where f^(-1) is the inverse of f.

Also state the domain of f^(-1) in interval notation.

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We can start solving this problem by finding the inverse of f(x). This is done by switching the x- and y- variables, and solving for y.

$y=√(4-x)+3 \rightarrow x=√(4-y)+3$
$x=√(4-y)+3$

We can start solving for y by subtracting 3 from both sides of the equation.

$x-3=√(4-y)$

Get rid of the radical by squaring both sides of the equation.

$(x-3)^2=(√(4-y))^2$
$(x-3)(x-3)=4-y$

Use FOIL to multiply the binomial (x-3) together.

$x^2-3x-3x+9=4-y$

Combine like terms.

$x^2-6x+9=4-y$

Subtract 4 from both sides of the equation.

$x^2-6x+5=-y$

Divide both sides of the equation by -1.

$-x^2+6x-5=y$
$f^-^1(x)=-x^2+6x-5$

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The domain and range of a function are flipped for its inverse, meaning that to find the domain of the inverse function, you can find the range of the original function f(x), and that will be your inverse function's domain.

The range of $f(x)=√(4-x) +3$ is $y \geq 3$ , since the vertical shift of the graph is at k = 3. You can also graph this function on a calculator to see that the graph does indeed start at y = 3.

Now that we know the domain and range of the original function, we know that these are flipped for the inverse function.

Original function:

Domain: $x\leq 4$
Range: $y\geq 3$

Inverse function:

Domain: $x\geq 3$
Range: $y\leq 4$

The final answer is:

The inverse $f^-^1(x)=-x^2+6x-5 \ \text{for the domain}\ [3, \infty)$ .

You can also write the domain as: $x\geq 3$ .

Last year,Mark was 46 inches tall.This year,Marks height is 3 inches less than peters height.Peter is 51 inches tall.How tall is mark?Write an equation to represent the situation.
Then solve the equation to answer the problem

Answers

51-3=x (Mark's height)
He is 48 inches tall.

12 in = 1 ft
46 / 12 = 3 r 10 in - last year

51 / 12 = 4 r 3 in
hope that helps

What is the slope of the line?

Answers

Answer:

Step-by-step explanation:

72/6=12

48/4=12

Cecil is buying almonds and cashews. A bag of almonds costs $7.00 and a bag of cashews costs $9.00. Cecil has $60 to spend on the nuts. Cecil wants to purchase at least 2 bags of almonds. Cecil does not want the cost of the cashews to exceed the cost of the almonds. What is the maximum number of bags of cashews that Cecil can buy?

Answers

The maximum number of bags of cashews are one

Helpp ill mark u as brainlist

Answers

Answer:

it is non proportional

Step-by-step explanation:

I think it’s non proportional because it is growing at a different rate of change for y and x

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