Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her

Let Monique have m brushes.
Chelsea then has <span>11m brushes because she has 11 times as many as Monique. Together they total 60 brushes, so we form the equation:

                                              m+11m=60.

Thus 12m=60, and dividing both sides by 12 gives m=5.

Chelsea has 11m=11*5=55 brushes.

Answer: 55</span>

Response:

Move 2 units to the left

Reflect the graph across the y-axis

Expand horizontally by a factor of 2

Lift vertically by 2 units

Detailed explanation:

Provided:

Basic function:

Transformed function:

Extract -2 from the transformation function f(x)

Now, we can observe the step-by-step transformations

Move 2 units to the left ( x → x+2 )

Reflect the graph across the y-axis ( (x+2) → - (x+2) )

Expand horizontally by a factor of 2 [ -x(x+2) → -2(x+2) ]

Lift vertically by 2 units [ f(x) → f(x) + 2 ]

Simplifying the function:

Thus, applying four transformation steps results in the new function

answer:

Detailed explanation:

Option A: $1,565 monthly over 72 months

The total comes to $112,680

Option B: $1,012 each month for 10 years,

which is the same as 120 months

Thus, the total amount received is 1012×120

equaling $121,440.

Option C:

Receive $100,000 in a single payment.

All the details presented are accurate.

However,

As the individual has no preference whether to take the money personally or let it go to an heir, we can disregard the lump sum payment option of $100,000.

Furthermore, as they are willing to wait and are indifferent about who benefits from the insurance payout, the 72-month option can also be overlooked.

Therefore, choosing the second option is advisable since it provides the highest total and the most payments over time.

Waiting for ten years will yield $121,440.

ఈ క్రింది విధంగా వివరణ: 25% 6.5% 35% కీ వివరణతో: ఇన్వాయిస్ ఇచ్చినప్పుడు: జీన్స్ కోసం బిల్ 39.99; డిస్కౌంట్ - 10.00; సబ్టోటల్ 29.99; నగదు పన్ను 1.95; మొత్తం 31.94. A) % డిస్కౌంట్ దగ్గరికి % క్రితం క్రింది అంచనా మార్క్; డిస్కౌంట్ మొత్తం = % డిస్కౌంట్ * ధర; 10 = x% * 39.99; 10/39.99 = x%; 0.2500625 = x%; x = 0.2500625 * 100%; % డిస్కౌంట్ = 25% % నగదు పన్ను; నగదు పన్ను మొత్తం = % పన్ను * సబ్టోటల్; 1.95 = x% * 29.99; 1.95/29.99 = x%; 0.06502 = x%; x = 0.06502 * 100%; x = 6.5%; డిస్కౌంట్ కంటే ముందు మార్కప్ = 60%; డిస్కౌంట్ తరువాత మార్కప్ = (60 - 25)% = 35%.

Answer:

1) (2.2, -1.4)

2) (1.33, 1)

Detailed solution:

Question 1)

We are provided with two linear equations representing lines, and we need to find the intersection point that solves the system.

The lines given are:

Line 1 equation:

This line passes through points (0, 2.5) and (2.2, -1.4).

Line 2 equation:

The second line goes through (0, -3) and (2.2, -1.4).

According to the graph and data, the solution to the system is the coordinate where both lines intersect.

The solution to a system of linear equations is the coordinate pair common to both lines, i.e., the intersection point.

Here, both lines share the point (2.2, -1.4), indicating it is their intersection and the solution.

Therefore, the solution for question 1 is (2.2, -1.4).

Question 2)

The equations given are:

y = 1.5x - 1               Equation 1

y = 1                           Equation 2

The method of substitution can be used to find the solution.

Replacing y from Equation 2 into Equation 1 gives:

1 = 1.5x - 1

Add 1 to both sides:

2 = 1.5x

Dividing both sides by 1.5 yields:

x = 2/1.5

x = 1.33

y = 1

Thus, the solution of the system is (1.33, 1).