What are the first five terms of the sequence defined by the given function?

f(n) = 2n − 8

A. 2, 8, 14, 20, 26

B. -6, -4, -2, 0, 2

C. 2, -4, -10, -16, -22

D. -6, -8, -10, -12, -14

Answer:

(2, -1)

(10, 15)

Step-by-step explanation:

Subtract the second equation from the first

  y = x² – 10x + 15

- (y =           2x – 5)

————————————

 0 = x² - 12x + 20

Factor

(x  - 2)(x - 10) = 0

x = {2, 10}

-------------------

For x = 2

y = 2(2) - 5

y = -1

Solution 1

(2, -1)

----------------------

For x = 10

y = 2(10) - 5

y = 15

Solution 2

(10, 15)

Answer:

A

Step-by-step explanation:

Answer:

I think its true

Answer:

[tex]2x + 3y = 6 ---(1)\\y = \frac{x}{6} - 3 ----(2)\\\\substitute \ y \ in \ (1)\\2x + 3(\frac{x}{6} - 3) = 6\\\\2x + \frac{x}{2} - 9 = 6\\\\\frac{5x}{2} = 6+9\\\\\frac{5x}{2} = 15\\5x = 30 \\x = 6\\substitute \ x \ in \ (2)\\\\y = \frac{6}{6} -3 = 1 - 3= -2[/tex]

x = 6, y = -2

Answer:

Mean- 70.8

Median- 70

Mode- 60

Step-by-step explanation:

Mean: 20+20+50+50+50+60+60+60+60+60+60+70+70+70+80+80+80+80+90+90+90+90+100+100+130= 1770

1770/ 25= 70.8

Median: cross off on each sides till you get to the middle number

Mode: 60 occurs the most frequent

Answer: 40.5

Step-by-step explanation:

Answer:

850m³

Step-by-step explanation:

Volume is length X width X height.

So, 25 x 17 x 2 = 850 meters cubed

Answer:

402

Step-by-step explanation:

The standard formula for the nth term of an arithmetic sequence is:

t + (n - 1)d

where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:

22 = t + (5 - 1)d

62 = t + (15 - 1)d

22 = t + 4d

62 = t + 14d

We can use elimination to cancel out t:

62 = t + 14d

-( 22 = t + 4d )

40 = 10d

d = 4

Now, we can substitute the common difference to find the first term:

22 = t + 4*4

22 = t + 16

t = 6

Lastly, we can substitute values in the first equation to find the 100th term:

a100 = t + (n - 1)d

a100 = 6 + (100 - 1)(4)

a100 = 6 + (99)(4)

a100 = 6 + 396

a100 = 402

Answer:

225 inches

Step-by-step explanation:

15 x 15 = 225

Answer:

See below.

Step-by-step explanation:

The definition of radian is:

A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.

In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.

Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.

Circumference of the circle = 2π(1) =2π feet.

This means point P will travel a 2π distance in a complete revolution.

A complete revolution = 360° or 2π

Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

To get more about circles visit:

https://brainly.com/question/24375372

Answer:

Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.

For example, the rectangular prism below has a volume of 181818 cubic units because it is made up of 181818 unit cubes. also the rectangle has more suface

area Step-by-step explanation:

Answer:

1 - 178cm

2 - 1,039.2 m

Step-by-step explanation:

Answer:

y=-x-6

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. We know that it passes through (-8,2) so y1=2 and x1=-8. We also know that the slope is -1 so we can now fill in the equation. y-2=-1(x--8). We can change x--8 to x+8 so y-2=-1(x+8). Simplify this to get y-2=-x-8. You want to isolate y so you have to add 2 on both sides. y=-x-6. Therefore, the equation is y=-x-6.

If this answer has helped you please mark as brainliest

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

Answer:

28

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28

Answer:

A and E are right triangles

Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

Applying in Pythagoras theorem in the triangle A:

(√5)² = (√2)²+ (√3)²

5 = 5

Triangle A is the right-angle triangle.

For triangle B:

(√5)² = (√4)²+ (√3)²

5 ≠ 7

Triangle B is not the right-angle triangle

For triangle C:

16 + 25 ≠ 36

triangle C is not a right-angle triangle

For  triangle D:

25 + 25 ≠ 49

triangle D is not a right-angle triangle

For triangle E:

100 = 36 + 64

It is a right-angle triangle.

Thus, triangles A and triangle E is the right angle triangle.

Learn more about a right angle;

https://brainly.com/question/7116550

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Answer:

Since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Step-by-step explanation:

Given that Walltown is 25 miles east of Park City, and Park City is 38 miles south of Edenton, and Michael drove from Edenton to Park City and then to Walltown while Leah drove straight from Edenton to Walltown, to determine about how much farther did Michael drive than Leah, the following calculation must be performed, using the Pythagorean theorem:

Michael:

38 + 25 = 63

Leah:

25 ^ 2 + 38 ^ 2 = X ^ 2

625 + 1,444 = X ^ 2

2,069 = X ^ 2

√2,069 = X

45.48 = X

63 - 45.49 = 17.51

Therefore, since Michael traveled 63 miles while Leah traveled 45.48 miles, Michael traveled 17.51 extra miles.

Answer:

100

Step-by-step explanation:

Formula is bh (Base times Height)

so 10 * 10

Hope this helped :]

Answer:

100 m

Step-by-step explanation:

Area is found by multiplying the length and height of a shape. The length and height of the square are both 10 m.

10 ⋅ 10 = 100

Answer:

Your answer is B. I had some help from my mom.

Step-by-step explanation:

the average rate of change on the interval [1, 2] is found by computing

 (f(2) - f(1))/(2 - 1)

 = ((4^1+2) - (4^0+2)/1

 = (6-3)

 = 3

Answer:

tan A = .3429  

Step-by-step explanation:

Tangent = Opposite over Adjacent

The opposite of ∠A = 12 and the adjacent = 35

so tan A = 12/35 which equals .3428571492

The question asks us to round to four decimal places

Hence, the answer is .3429

Answer:

area = 66.28 km²

Step-by-step explanation:

area = (8 x 2) + (11 x 4) + (3.14)(2²)(0.5) = 16 + 44 + 6.28 = 66.28 km²

Answer:

Solution given:

area of semi circle=½×π×r²=½π×2²=6.28km²

area of rectangle ABCD=L×b=3×4=12km²

area of rectangle EFGC=L×b=8×6=48km²

total area =6.28+12+48=66.28 square kilometers.

Answer:

x = -3

Step-by-step explanation:

5 = x + 8

You need to get x by Itself so subtract 8 to both sides.

5 - 8 = -3

so therefore x = - 3

Answer: 2/15

Step-by-step explanation:

2/3x-1(3x/3x)=4

2/3x-3x/3x=4

2-3x=12x

2=15x

x=2/15

Answer:

x= 52°

Step-by-step explanation:

comment if u need explanation :)

Answer:

x=52

Step-by-step explanation:

Set it up 2x+28+x-4=180

Combine like terms

3x+24=180

Subtract 24 from both sides

3x=156

Divide 3 from both sides

x=52

Hope this helps

Brainliest would be appreciated

Answer:

(4,4)

Step-by-step explanation:

1. I drew a grid and plotted the 3 points I already knew

2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)

I hope this helps!!

Answer:

measure of zvm is 119°

Step-by-step explanation:

Answer:

The X represents how much Han made.

Step-by-step explanation:

I believe thats the answer.

Answer:

A cylinder

Step-by-step explanation:

When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.

Answer:

CYLINDER

Step-by-step explanation:

Answer:

6.72/3.2=2.1

Step-by-step explanation: