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densk [106]
3 years ago
11

The sequence an= -(3)" - 1 is graphed below:

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

The given sequence is:

a(2)=1

a(3)=3

a(4)=9

We are to find the average rate of change between n=3 and n=4 for the given function.

Average rate of change = 

So the average rate of change for the given function from n = 3 to n = 4 is 6

Step-by-step explanation:

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Mr.Steve drove 92 miles using 4 gallons of gasoline. Find the unit rate of miles driven per gallon.
Ede4ka [16]

Answer:23


Step-by-step explanation:

92/4

7 0
3 years ago
The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter
CaHeK987 [17]
X - a leg  (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
(x+1)^2=x^2+(x-6)^2

Use:(a\pm b)^2=a^2\pm2ab+b^2

x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}

x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}

The perimeter:

7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}
5 0
3 years ago
25. The temperature was -7°F. During the
Alja [10]

Answer:

13

Step-by-step explanation:

6-(-7)=13

4 0
2 years ago
Find the equation line<br> (5,6), (4,7)
34kurt

Answer:

x+y=11

Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

\frac{y-6}{x-5}=\frac{7-6}{4-5}

\frac{y-6}{x-5}=\frac{1}{-1}

(y-6)=-(x-5)

y-6=-x+5

adding x and 6 on both sides we get

x+y=11

Hence this is our equation of the line passing through (5,6) & (4,7)

8 0
3 years ago
11. Jordis took a test with a total of 90 questions. His teacher told him that 4 points
max2010maxim [7]

Answer:

72

Step-by-step explanation:

8 0
3 years ago
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