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Liono4ka [1.6K]
3 years ago
10

it took Peter 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph.Find the constant

of variation.
Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:


Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate.

so i assume it could be 162 sorry if i am wrong let me know if it is right or not

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He gave me a extra dayyy!!!
devlian [24]

Answer:

First blank: $5

Second blank: $7.50

Third blank: $11.25

Fourth blank: $13.5

Fifth blank: $15.75

Sixth blank: $18.00

Step-by-step explanation:

Half a number is $2.25, so multiply 2.25 times each half.

First blank:$2.25*2=$5.00

Second blank: $2.25*3=$7.50

Third blank: $2.25*5=$11.25

Fourth blank: $2.25*6=13.50

Fifth blank: $2.25*7=$15.75

Sixth blank: $2.25*8=$18.00

6 0
3 years ago
Dennis, Emily, and Fernando want to find the zeros of the polynomial p(x)=x3+6x2+9x. Each student worked independently and prese
alexandr402 [8]

Answer:

  • Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
  • Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
  • Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.

Step-by-step explanation:

The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.

3 0
3 years ago
At the end of the day, Mr. Díaz drains the pool. The equation
Charra [1.4K]

Answer: 6 minutes.

Step-by-step explanation: You can use a graphing calculator to see the exact graph, but you're trying to figure out what value of x gives you a y of 0. -50 times 6 is 300, plus 300 equals 0.

7 0
3 years ago
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
Tom [10]

Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

5 0
4 years ago
What is the quotient when root 1500 is divided by 2 root 15
joja [24]

Answer:

Answer is (√1500) /(2√15 )= 5

Step-by-step explanation:

8 0
3 years ago
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