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Inga [223]
3 years ago
6

A function is shown in the table.

Mathematics
1 answer:
Grace [21]3 years ago
5 0
The function is decreasing from x=0 to x=2
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Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet
lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= 2(l+w)

where, l= length

           w= width

∴ Perimeter of rectangular court= 2(84\ feet + 50\ feet)

⇒ Perimeter of rectangular court= 2(134\ feet)

Opening parenthesis

⇒ Perimeter of rectangular court= 2\times 134\ feet= 268\ feet

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= 268\ feet\times 3= 804\ feet

Hence, Brett jog for 804 feet.

3 0
3 years ago
Simplify each expression <br><br>1+10a-5a <br>x-9-3x
Burka [1]
1.) 1+10a-5a
Subtract 5a from 10a
Final Answer: 1+5a

3.) x-9-3x
Subtract 3x from x
Final Answer: -9-2x

5.) 1-4n+2n-1
Subtract 1 from 1
-4n+2n
Add
Final Answer: -2n

7.) 10k-3k
Subtract
Final Answer: 7k

9.) 5r+4-4
Subtract
Final Answer: 5r
7 0
3 years ago
Read 2 more answers
. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
KIM [24]

Answer:

Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
5. A hairstylist charges $15 for an
Rashid [163]

Answer:

you cut off some of the problem

Step-by-step explanation:

6 0
3 years ago
Which is the MOST accurate definition of a clause?
Vilka [71]

Answer: it can be unit of grammatical organization below a sentence or after a sentence. Or it’s other meaning it can be a bill

8 0
3 years ago
Read 2 more answers
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