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3 years ago

Simplify 2a - 5 + 3a + 4

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

5a - 1

Step-by-step explanation:

add common terms

2a - 5 + 3a + 4

2a + 3a and -5 + 4

5a - 1

Lynna [10]3 years ago

3 0

Answer:

5a - 1

Step-by-step explanation:

Simple additon math skillz

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Match each function to its corresponding sequence.

givi [52]

The sequence and their functions are:

f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....
f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....
f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

<h3>How to match the functions?</h3>

To do this, we simply set values for n and calculate the function values using the current value of n.

So, we have:

Function 1: f(n) = f(n - 1) + 6n - 5 where f(1) = 3

Let n = 2

f(2) = f(1) + 6(2) - 5 = 3 + 12 - 5 = 10

Let n = 3

f(3) = f(2) + 6(3) - 5 = 10 + 18 - 5 = 23

None of the sequence follows the pattern 3, 10, 23....

Function 2: f(n) = f(n - 1) + 2n - 1 where f(1) = 3

Let n = 2

f(2) = f(1) + 2(2) - 1 = 3 + 4 - 1 = 6

Let n = 3

f(3) = f(2) + 2(3) - 1 = 6 + 6 - 1 = 11

None of the sequence follows the pattern 3, 6, 11....

Function 3: f(n) = f(n - 1) + 6 where f(1) = 3

Let n = 2

f(2) = f(1) + 6 = 3 + 6 = 9

Let n = 3

f(3) = f(2) + 6 = 9 + 6 = 15

None of the sequence follows the pattern 3, 9, 15....

Function 4: f(n) = f(n - 1) + 7 where f(1) = 3

Let n = 2

f(2) = f(1) + 7 = 3 + 7 = 10

Let n = 3, 4 and 5

f(3) = f(2) + 7 = 10 + 7 = 17

f(4) = f(3) + 7 = 17 + 7 = 24

f(5) = f(4) + 7 = 24 + 7 = 31

So, we have:

f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....

Function 5: f(n) = f(n - 1) + 4n - 2 where f(1) = 3

Let n = 2

f(2) = f(1) + 4(2) - 2 = 3 + 8 - 2 = 9

Let n = 3, 4 and 5

f(3) = f(2) + 4(3) - 2 = 9 + 12 - 2 = 19

f(4) = f(3) + 4(4) - 2 = 19 + 16 - 2 = 33

f(5) = f(4) + 4(5) - 2 = 33 + 20 - 2 = 51

So, we have:

f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....

Function 6: f(n) = 2[f(n - 1)] where f(1) = 3

Let n = 2

f(2) = 2 * f(1) = 2 * 3 = 6

Let n = 3, 4 and 5

f(3) = 2 * f(2) = 2 * 6 = 12

f(4) = 2 * f(3) = 2 * 12 = 24

f(5) = 2 * f(4) = 2 * 24 = 48

So, we have:

f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

Read more about sequence at:

brainly.com/question/6561461

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7 0

2 years ago

Help asap im in a timed test

liberstina [14]

Answer:

-3/2

Step-by-step explanation:

5 0

3 years ago

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HELP IM FAILING IF HELP U WILL GET 8 POINTS <3 AND HELP ME

algol [13]

The area of the red part is greater than the area of the blue part.

3 0

3 years ago

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What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0

1 year ago

Will mark Brainliest! Find the equation of the line with slope −7 which goes through the point (−5,5).

Savatey [412]

Answer:

y -5 = -7(x +5)

Step-by-step explanation:

The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...

y -k = m(x -h)

Filling in the given numbers, you get the equation ...

y -5 = -7(x +5)

_____

This can be rearranged to any of several other forms:

y = -7x -30 . . . . . slope-intercept form

7x + y = -30 . . . . standard form

x/(-30/7) + y/(-30) = 1 . . . . . intercept form

4 0

3 years ago