Answer:
<u>8 and 4</u>
Step-by-step explanation:
8 + 4 = 12
8 - 4 = 4
The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
<h3>What is a factor?</h3>
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
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Answer:
b. area = 18 square units
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 1/2 (6+3) + (6-2)
area = 1/2 * 9 * 4
area = 18 square units
therefore the answer is b.
The distance between the two schools on the map is (C) 4.2 inches.
<h3>
What is the distance?</h3>
- Distance is a numerical measurement of the distance between two objects or places.
- The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
- The distance between two points A and B is commonly expressed as |AB|.
To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
- 2 miles = 2 inches
- 1 mile = 2/5 inches ..... (1)
Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
- 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.
Therefore, the distance between the two schools on the map is (C) 4.2 inches.
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
Answer:
81
Step-by-step explanation:
Order of operations rules require that we do the work inside parentheses first. Multiplication must be done before addition. Thus, the quantity inside parentheses becomes 15 + 4 = 19.
Next, we evaluate 100 - [19], obtaining 81 (answer)