Find the 57th term of the arithmetic sequence -13,-29,-47,….

Hey there! :-)

First, let's find the slope of the line.

We can do that by using this formula:

Slope=Rise/Run

Where

Rise=how many units we move up

Run=how many units we move left or right.

We move 5 units up and 8 units to the right.

Therefore, the slope is 5/8.

The y-intercept (where the line touches the graph) is -9/8.=

Therefore, the equation of the line is y=5/8x-9/8.

Hope this helps you daughter. Use the comment section to clarify any doubts.

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~A felicitous teen who helps others with a smile on her face

Good luck.

Answer:

a - y=5/8x - 9/8

Step-by-step explanation:

firstly, work out the gradient between those two coordinates

[tex]gradient = \frac{change \: in \: y}{change \: in \: x} [/tex]

[tex]gradient \: = \frac{ - 3 - 2}{ - 3 - 5} = \frac{ - 5}{ - 8} = \frac{5}{8} [/tex]

now, use formula y=mx+c where y is the y coordinate, m is the gradient, x is the x coordinate and c is the y intercept

use any of the two coordinates in the graph. I'll use (5,2)

[tex]y = mx + c[/tex]

[tex]2 = \frac{5}{8} (5) + c[/tex]

[tex]2 = \frac{25}{8} + c[/tex]

[tex]therefore \: c \: is \: - \frac{9}{8} from \: doing \: 2 - \frac{25}{8} [/tex]

now we have the gradient and y intercept

so the equation is

[tex]y = \frac{5}{8} x - \frac{9}{8} [/tex]

-8 = m/3 + 2

Subtract 2 from both sides

-10 = m/3

Multiply both sides by 3

M = -30

Answer:

[tex]m=-30[/tex]

Step-by-step explanation:

[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation

[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction

[tex]-24=m+6[/tex]

[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"

[tex]-30=m[/tex] <-- Final Solution

Answer:

3

Step-by-step explanation:

4x+2=5x-1

4x - 5x = -1 -2

x = 3

Answer:

Step-by-step explanation:

Drake has 2 houses and makes $50,000,000

"Viewer discretion advised

Answer:

$801.9

Step-by-step explanation:

10% of 810 is 81

810-81 = 729

10% of 729 is 72.9, so add that back to get the extra 10%

729+72.9 = 801.9

Please give brainliest if I helped! :)

Answer:

x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan30 = x/12

x = 12tan30

x = 12(sin30/cos30)

x = 12(½ / ½√3)

x = 12/√3

x = (12/3)√3

x = 4√3

The slope is the number in front of the x. And the y-intercept is the number after the x.

A negative y-intercept would be subtracted from the equation.

Answer is B. Y = 7.5x - 2

Answer:

B

Step-by-step explanation:

y = 7.5x - 2

The slope is 7.5

y- intercept is -2

Answer:

36

Step-by-step explanation:

Any triangle have 180 degrees in total.

So 60 + 84 + angle M = 180

144 + angle M = 180

180 - 144 = angle M

angle = 36

Answer:

0.68

Step-by-step explanation:

[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]

Therefore, the answer is m = -25/9.

Hoped this helped.

[tex]-BrainaicUser1357-[/tex]

The number of ways the yearbook chooses the winners of Most Athletic, Class Clown, Best School Spirit, and Best Looking is 330 ways.

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Given that there are 11 students in a high school senior class. The number of ways will be calculated as,

The formula for arrangement,

¹¹C₄ = 11!/(7!)(4!)

¹¹C₄ = 330 ways

To know more about permutation and combination follow

https://brainly.com/question/4658834

#SPJ2

In the number 556,429, 5 have involve that is ten times the value of the number 5000.

The given numbers are 23,523, 7,508,240, 45,701 and 556,429.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Option A:

In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.

In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.

In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.

In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.

Here, ten times the value of the number 5000 is 50000.

Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.

To learn more about the place value visit:

https://brainly.com/question/21467438.

#SPJ5

Answer:

  h = 2.5

Step-by-step explanation:

Continue the solution by subtracting 250 from both sides.

  250 -250 +20h = 300 -250

  20h = 50

Divide both sides by 20

  20h/20 = 50/20

  h = 5/2 = 2.5

Answer:

Step-by-step explanation:

A relation is only a function if ALL the x-values (the first number in the pairs) ONLY have one partner.

Check that -1

At first that -1 is paired up with a 5 in the ordered pair (-1, 5) but then later... that -1 is down there hanging out with a 1 in the last ordered pair (-1, 1).

This means that this relation (all the pairs lumped together) is NOT a function. Just because of that -1 pairing up with more that one partner.

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]9 \: + \: 7 \: = \boxed{16}[/tex]

USE CALCULATOR...

[tex]#CARRYONLEARNING[/tex]

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

f(g(2)) = 29

Step-by-step explanation:

First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1

Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29

Answer: 0

Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)

Answer:

32

Step-by-step explanation:

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator

Thus, the answer to 12 divided by 3/8 in fraction form is:

96 /3

To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

96 / 3 = 32

The answer is rounded to the nearest two decimal points if necessary.

96/3 can be simplified to 32/1.

32/1 is an improper fraction and should be written as 32.

Hope this helps <3

Answer:32

Step-by-step explanation: 0.375 = 3/8

12/0.375=32

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 2√10

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72

Answer:

13/15

Step-by-step explanation:

4 3/4 = 19/4

133/(19/4) = 133(4/19) = 1197/19 = 63 mph

Answer:

a) x+3x/2y or (3x+2xy)/2y

b) b^12

c) 4^3 or 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

Answer:

Convert to the form of fundamental theorem

[tex]y = \int_{1-6x}^1 \frac{u^3}{1+u^2}du= -\int\limits^{1-6x}_1 {\frac{u^3}{1+u^2} } \, du[/tex]

Step-by-step explanation:

Now, you can apply the theorem, that is [tex]y'= f(1-6x) \times (1-6x)' = -6 \frac{(1-6x)^3}{(1+(1-6x))}[/tex]

Simplify!!

The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).

Learn more on dilation here: https://brainly.com/question/10253650