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3 years ago

g(x)=3x+2 and h(x)=ax+B where a and b are constants h(4)=22 g^-1(14)=h(1) find the value of a and the value of b

Mathematics

1 answer:

Pie3 years ago

3 0

Answer:

B= $\frac{3}{-2}$

a= $\frac{11}{2}$

Step-by-step explanation:

If you want step by step explanation, tell me in the comment box

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If a semi truck's trailer is 40 feet long, 10 feet wide, and has a height of 8 feet, what is its volume?

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First multiply 40 and 10 to get 400. Then multiply 400 by 8 to get 3,200.

Your answer would be: 3,200

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3 years ago

Kenny wants to install new carpet in his basement game room. Carpets 'N More sells carpet for $5.39 per square foot. How much wi

vivado [14]

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Step-by-step explanation:

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2 years ago

For each equation below find y if x = 2

tatyana61 [14]

A. 7-2=5

b. 4-1=3

c. $\sqrt{2+14}= \sqrt{16}$ =4

5 0

3 years ago

Read 2 more answers

Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as m

defon

Step-by-step explanation:

This is a word problem that we must translate to mathematical expression before we can solve.

let the individual saving be the first letters of the names

Jada= J

Lin= L

Elena= E

1. Jada saved $20 less than Lin

J=L-20

2. Lin saved 3 times as much money as Elena

L= 3E

3. Hence Elena saved

Together they saved $120.

hence

(L-20)+3E+E= 120

L-20+3E+E= 120

collecting like terms we hav

L+4E=120+20

L+4E= 140

but we know that L= 3E

3E+4E= 140

7E= 140

divide both sides by 7 we have

E= 140/7

E= $20

This means Elena saves $70

also L= 3E

L= 3*20

L= $60

this means that Lean saved $60

also J=L-20

J= 60-20

J= $40

This means that Jada saved $40

6 0

3 years ago

Write the rule for the nth term of each sequence.

stira [4]

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Step-by-step explanation:

a.)7, 4, 1, -2, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = 7\\a_2 = 4\\a_3 = 1\\d = a_2 - a_1 = 4-7 = -3\\d = a_3 - a_2 = 1-4 = -3$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n = 7 + (n-1)(-3)\\a_n = 7 -3n+3\\a_n = 10-3n$

b.)-11, -3, 5, 13, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = -11\\a_2 = -3\\a_3 = 5\\d = a_2 - a_1 = -3+11 = 8\\d = a_3 - a_2 = 5+3 = 8$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n =-11 + (n-1)(8)\\a_n = -11 +8n-8\\a_n = -19+8n$

Hence,

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

2 years ago