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Otrada [13]
3 years ago
13

Use the remainder theorem and synthetic division to find f(k). k = -2; f(x) = 4x3- 6x2 - 5x + 13

Mathematics
1 answer:
exis [7]3 years ago
5 0
[-2]  is    4   -6   -5   13
                   -8   28  -46
             --------------------
             4  -14   23  -33

f(-2) = -33
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3 years ago
Length of the bases and h is the height, to answer the question. How many square feet of grass
Aleonysh [2.5K]

Answer:

There are 7,725 square feet of grass on the trapezoidal field

Step-by-step explanation:

Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.

What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.

To calculate this area, what we need to do

simply is to use the formula for the area of a trapezoid.

Mathematically, the area of a trapezoid can be calculated using the formula;

Area of trapezoid = 1/2 * (a + b) * h

where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.

From the question;

a, b = 81ft and 125 ft

h = 75 ft

Substituting these values, we have :

Area = 1/2 * (81 + 125) * 75

Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2

6 0
3 years ago
evan has a job selling magazine and newspaper subscriptions. he earns $23 for each magazine subscription and $54 for each newspa
SashulF [63]
First we write the variables already defined:
 m = the number of magazine subscriptions sold
 n = the number of newspaper subscriptions sold
 We now write the system of inequations based on the following facts:
 "he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
 23m + 54n> 642
 "I have expectations to sell at least 10 subscriptions per week"
 m + n> = 10
 Answer: 
 A system of inequalities that models the given situation is: 
 23m + 54n> 642 
 m + n> = 10
5 0
4 years ago
Jonathan's age is 1/3 Belinda's age now in 12 years Belinda will be m years old write an algebraic expression to represent Brend
vodomira [7]

Answer:

Kindly check explanation

5 years from now, Johnathan will be (5 + 4) = 9 years

Step-by-step explanation:

Let Belinda's age = x

Jonathan's age =1/3 x

In 12 years, Belinda will be m years old :

Belinda's age now = x

Jonathan's age 5 years from now, if m = 36

Belinda's age in 12 years, Belinda's age = m

x + 12 = 36

x = 36 - 12

x = 24 years

Hence Belinda's age now is 24

Jonathan's age now is (1/3) * 12 = 4 years

Hence, 5 years from now, Johnathan will be (5 + 4) = 9 years

5 0
3 years ago
Simply the expression: 52 + 53 - 54 A) -475 B) -350 C) -125 D) 5
stira [4]
<span>52 + 53 - 54 = 51

</span>None of them is the answer
3 0
3 years ago
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