Answer:
x^2-6x+7
Step-by-step explanation:
You can use synthetic division since you are dividing by a linear factor with leading coefficient 1. (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)
So since we are dividing by x-2, 2 goes on the outside.
(If we were dividing by x+2, -2 would go on the outside.)
Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.
2| 1 -8 19 -14
| 2 -12 14
-----------------------------
1 -6 7 0
So the remainder is 0 and the quotient is x^2-6x+7.
Answer:Total molding cost is $197.20.
Step-by-step explanation:
Since we have given that
Length of oil painting frame = 22 inch
Width of oil painting frame = 30 inch
Width for molding = 4 inches
So, Length after molding would be
4+22+4 = 30 inches
Width after molding would be
4+30+4 = 38 inches
So, Perimeter of molding would be
Cost per inch = $1.45
So, Total molding cost would be
Hence, Total molding cost is $197.20.
The Millers would need to purchase 104" of molding for their 22" by 30" painting frame. At $1.45 per inch, the cost for the molding would be $150.80 before tax.
The cost of the molding can be calculated by first determining the total length of the molding needed and then multiplying it by the price per inch. To find the total length of the molding, we need to add the lengths of all sides of the painting frame. Since the frame is a rectangle, it will have two sides that are 22" long and two sides that are 30" long. So the total length of the molding is: 2*(22" + 30") = 104". Now, we multiply this length by the cost of the molding per inch. So, the total cost of the molding is: 104" * $1.45 = $150.80. Thus, the cost of the molding for the 22" by 30" oil painting frame using 4" Wide molding will be $150.80 before tax.
#SPJ3
Answer: 5
Step-by-step explanation: -2+7=5
when the signs are different you subtract and when the signs are the same you add. Then you keep the sign of the bigger number.
Answer:
45 fake dollar.
Step-by-step explanation:
Given: teacher offer 5 fake dollar for each perfect score in Math test.
One of Student get perfect score on 4 maths test.
Student already have 25 fake dollor.
Now, solving to find total number of fake dollar teacher offered to student.
As given teacher offer 5 dollar for each perfect score in maths test and student got perfect score on 4 maths test.
Number of fake dollar offer to the student= ∴ Number of fake dollar offered to the student=
We know, student already have 25 fake dollar.
Next, finding total number of fake dollar student have.
Total fake dollar student have= .
Total fake dollar student have=
Hence, student have total 45 fake dollar to spend in the class store.
The measure of the angle ∠C to two decimal places will be 117.99°.
The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.
Let the triangle ΔABC, then the cosine law is given as,
c² = a² + b² - 2 a·b cos C
In ΔABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively. Then the measure of the angle ∠C is given as,
6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C
Simplify the equation, then we have
6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C
36 = 12.25 + 12.25 - 24.50 cos C
11.5 = - 24.50 cos C
cos C = - 11.5 / 24.5
C = 117.99
The measure of the angle ∠C to two decimal places will be 117.99°.
More about the cosine law link is given below.
#SPJ6
Answer:
linear and increasing
Step-by-step explanation: