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3 years ago

Write a recursive rule for the arithmetic sequence 22,15,8,1

Mathematics

2 answers:

lara31 [8.8K]3 years ago

7 0

Answer:

a=1

an= an-1 -7

Step-by-step explanation:

SVEN [57.7K]3 years ago

5 0

A= 1 the answer is A=1

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John is making 3 1/2 batches of cookies. Each batch takes 2 1/4 cups of flour. How much flour will John need for the cookies?

Ivahew [28]

Answer: 7 7/8 cups of flour

Step-by-step explanation:

Since John is making 3 1/2 batches of cookies and each batch takes 2 1/4 cups of flour.

The amount of flours that John will need for the cookies will be gotten by multiply the batches of cookies made by the number of flours of cups used per batch and this will be:

= 3 1/2 × 2 1/4

= 7/2 × 9/4

= 63/8

= 7 7/8 cups of flour

7 0

3 years ago

12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely

AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is $6 a b^{2}(a+2)(2 a-1)$

<u>Solution:</u>

Given, expression is $12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

We have to factorize the given expression completely.

Now, take the expression

$12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}$

Taking $b^2$ as common term,

$b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)$

Taking "a" as common term,

$b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)$

Taking "6" as common term,

$b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)$

Splitting "3a" as "4a - a" we get,

$b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)$

$\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}$

Hence, the factored form of given expression is $6 a b^{2}(a+2)(2 a-1)$

4 0

3 years ago

10. Use the data to determine the missing values in the five-number summary.

exis [7]

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

7 0

3 years ago

Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the consta

Mrac [35]

V = x/t = 4.5 mil / 3 h = 1.5 mph
Since, v = 1.5 mph (or we can say that v is constant), distance and time vary directly and the constant of variation is 1.5 mph.

3 0

3 years ago

Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft

Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation: 6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

6 0

3 years ago