Guest #3396

2 months ago

45/x - 14 = 22

add 14 to both sides

45/x -14 +14 = 22 +14

45/x = 36

36 x = 45

x = 45/36 = 5/4 = 1.25

add 14 to both sides

45/x -14 +14 = 22 +14

45/x = 36

36 x = 45

x = 45/36 = 5/4 = 1.25

Question

What are the domain and range of f(x) = 2(3x)?

Solution 1

Its going to be all real numbers

or (- inf , inf)

or (- inf , inf)

Solution 2

**Answer:**

A) domain (-infinity, infinity); range (0, infinity)

**Step-by-step explanation:**

Domain is reading the x-axis left or right

Range is reading the y-axis up or down

Hope this helps!

Question

Simplify the following expression.

Solution 1

The first step for solving this expression is to express with a positive exponent using .

4 × × b

Now calculate the product.

Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:

Let me know if you have any further questions.

:)

4 × × b

Now calculate the product.

Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:

Let me know if you have any further questions.

:)

Solution 2

**Answer: C**

**Step-by-step explanation:**

The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.

On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.

Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?

a. Lisa walked about 400 yards farther than Deanna.

b. Lisa walked the same distance as Deanna.

c. Lisa walked about 400 yards less than Deanna.

d. Lisa walked about 400 yards.

Question

Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)? Explain the process you used (in words) and include the work you did to find this answer.

Solution 1

This would be a 90° arc.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

Question

Is y=-13/6x+5/3 same as 13x+6y=10 ?

Solution 1

Yes:

13x + 6y = 10

-13x -13x

_______________

6y = -13x + 10

Divide 6y, 13x, and 10 by 6

y = -13/6x + 10/6

Simply 10/6 by finding the least common multiple of the numerator and denominator, which is 2. 10 divided by 2 is 5, and 6 divided by 2 is 3. 10/6 = 5/3

Solution:

y = -13/6x + 5/3

13x + 6y = 10

-13x -13x

_______________

6y = -13x + 10

Divide 6y, 13x, and 10 by 6

y = -13/6x + 10/6

Simply 10/6 by finding the least common multiple of the numerator and denominator, which is 2. 10 divided by 2 is 5, and 6 divided by 2 is 3. 10/6 = 5/3

Solution:

y = -13/6x + 5/3

Question

Help How much will $5,000 invested at 6% compounded annually amount to after 10 years?

Solution 1

To find one year, here's the equation:

5000 + 0.06(5000)

For 10 years:

5000 + 10(0.06(5000))

Multiply:

5000 + 0.6(5000)

We can make it smaller:

1.6(5000) = 8000

**You can make $8000**

5000 + 0.06(5000)

For 10 years:

5000 + 10(0.06(5000))

Multiply:

5000 + 0.6(5000)

We can make it smaller:

1.6(5000) = 8000

Question

What does 3P2 equal?

Solution 1

No one has mentioned, so I will. What you are looking for is the permutation of 3 things taken 2 at a time. In other words, how many different unique ways are there to arrange 3 items, say colored balls, taking 2 of them for each group. By unique, I mean that 1 red and 1 blue is the same as 1 blue and 1 red,

Question

Solve the equation 2 cos x + 1 = 0 , 0 <= x <= 2pi PLEASE HELP! WILL AWARD!

Solution 1

It would be pi over 6, 5 pi over 6, and 3 pi over 6.

Solution 2

Im not saying its right but I got 0,2π3,4π3,and2π f(x)=2cos2x−cosx−1=0

Solve this quadratic equation for cos x.

Since a + b + c = 0, use shortcut.

One real root is cos x = 1 and the other is cosx=ca=−12.

Trig table and unit circle -->

a. cos x = 1 --> arc x = 0, and arc x=2π

b. cosx=−12 --> arc x=±2π3

The arc −2π3 is co-terminal to the arc: 4π3

Answers for (0,2π):

0,2π3,4π3,and2π

Solve this quadratic equation for cos x.

Since a + b + c = 0, use shortcut.

One real root is cos x = 1 and the other is cosx=ca=−12.

Trig table and unit circle -->

a. cos x = 1 --> arc x = 0, and arc x=2π

b. cosx=−12 --> arc x=±2π3

The arc −2π3 is co-terminal to the arc: 4π3

Answers for (0,2π):

0,2π3,4π3,and2π

Question

Evaluate 3P4, I didn’t understand this question but if you know it would great if you could explain!!! 15,120
36
3,024
504

Solution 1

The thing is 3,024 my dude

Solution 2

**Answer:**

3,024

**Step-by-step explanation:**

Question

How many times do 12 go into 30

Solution 1

2 times with 6 left over because you would see how many times without going over and that would be 2 because 2x12 equals 24 amd 3x12 equals 36 bit that is ocer thirty then 30-24 equals 6. 6 is your remainder. Your full answer is 2 r4

Question

determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.

Solution 1

Equation for one year:

0.0725(400)

But we have 7 years:

7(0.0725(400))

Multiply in the parentheses

7(29) = 203

400 + 203 = 603

**You now have $603, and made $203**

0.0725(400)

But we have 7 years:

7(0.0725(400))

Multiply in the parentheses

7(29) = 203

400 + 203 = 603

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