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1 year ago

When dividing the polynomial using synthetic division, which of the following setup boxes would be used?

Mathematics

1 answer:

Galina-37 [17]1 year ago

8 0

The setup boxes in the synthetic division are (b)

<h3>How to determine the setup boxes?</h3>

The dividend is given as:

x^3 + 4x^2 + x - 6

The divisor is given as:

x - 2

Set the divisor to 0

x - 2 = 0

Solve for x

x = 2

Remove the variables in the dividend

1 + 4 + 1 - 6

Remove the arithmetic signs

1 4 1 - 6

So, the setup is:

2 | 1 4 1 - 6

Hence, the setup boxes are (b)

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If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?

Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is $(x,y)\rightarrow (-x,y)$

Substituting the point (-2,1) in the rule, we get;

$(-2,1)\rightarrow (2,1)$

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is $(x,y)\rightarrow (x,-y)$

Substituting the point (2,1) in the rule, we get;

$(2,1)\rightarrow (2,-1)$

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is $(x,y)\rightarrow (-x,-y)$

Substituting the point (2,-1) in the rule, we get;

$(2,-1)\rightarrow (-2,1)$

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

7 0

3 years ago

Can you help me in this plz

Kipish [7]

Answer:

£ 38,110

Step-by-step explanation:

We need to find salary for 1 year (12 months).

Monthly Salary = 1410, so yearly would be:

1410 * 12 = 16,920

26% of total profit. Let's find the profit first:

Profit is Income - Cost

So, that would be (from table):

Profit = 549000 - 473500 = 75,500

26% of that would be:

26/100 = 0.26

0.26 * 75,500 = 19,630

390 bonus for each month she sells atleast 16 cars

Out of 12 months (1 year), she sold at least 16 cars in 4 months, so she gets bonus of 390 for those 4 months, that would make:

390 * 4 = 1560

Total Pay for the year would be summation of all these:

Total Pay = 16,920 + 19,630 + 1560 = £ 38,110

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3 years ago

What is the area of her garden in square feet?

Murrr4er [49]

Answer:

7.5x6.5=48.75

Step-by-step explanation:

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3 years ago

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Rina8888 [55]

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2 years ago

Of fixed-rate, percentage, and triple net leases, which makes financial planning easiest for a business owner?

Shkiper50 [21]

The option that makes financial planning easiest for a business owner is: <u>A: Fixed rate.</u>

<h3>What is fixed rate?</h3>

Fixed rate can be defined as the interest rate charge on loan and does not varies or change but remain the same.

Fixed rate is of paramount as it makes financial planning easiest for a business owner based on the fact that the interest rate does not change.

Therefore the option that makes financial planning easiest for a business owner is: <u>A: Fixed rate.</u>

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1 year ago