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Which graph represents the solution set of the compound inequality -4 s 3x-1 and 2x+4 518?-10
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Which graph represents the solution set of the compound inequality - 1

Answers

Answer 1
Answer:

The compound inequality in x : -1 ≤ x ≤ 7

The correct graph is A .

Given, inequality: -4 ≤ 3x -1 and 2x + 4 ≤ 18 .

First inequality:

-4 ≤ 3x -1

Take -2 from RHS to LHS .

-4 + 1 ≤ 3x

-3 ≤ 3x

x ≥ -1

X will have values greater than equal to -1 .

Second inequality:

2x + 4 ≤ 18

take 4 from LHS to RHS.

2x ≤ 18 - 4

2x ≤ 14

x ≤ 7

x will have values less than equals to 7.

Combined result of both inequalities: -1 ≤ x ≤ 7 .Thus graph A is correct.

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Answer 2
Answer:

Answer:

it's the first one where X is greater or equals to -1 and X is less or equals to positive 7

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2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x) = 6x (b) f(x) = 12x – 2 (c) f(x) = kx² for k a constant

Answers

Answer:

a) f'(x)=6

b) f'(x)=12

c) f'(x)=2kx

Step-by-step explanation:

To find :  From the definition of the derivative find the derivative for each of the following functions ?

Solution :

Definition of the derivative is

f'(x)= \lim_(h \to 0)((f(x+h)-f(x))/(h))

Applying in the functions,

a)f(x)=6x

f'(x)= \lim_(h \to 0)((6(x+h)-6x)/(h))

f'(x)= \lim_(h \to 0)((6x+6h-6x)/(h))

f'(x)= \lim_(h \to 0)((6h)/(h))

f'(x)=6

b) f(x)=12x-2

f'(x)= \lim_(h \to 0)((12(x+h)-2-(12x-2))/(h))

f'(x)= \lim_(h \to 0)((12x+12h-2-12x+2)/(h))

f'(x)= \lim_(h \to 0)((12h)/(h))

f'(x)=12

c) f(x)=kx^2 for k a constant

f'(x)= \lim_(h \to 0)((k(x+h)^2-kx^2)/(h))

f'(x)= \lim_(h \to 0)((k(x^2+h^2+2xh-kx^2))/(h))

f'(x)= \lim_(h \to 0)((kx^2+kh^2+2kxh-kx^2)/(h))

f'(x)= \lim_(h \to 0)((h(kh+2kx))/(h))

f'(x)= \lim_(h \to 0)(kh+2kx)

f'(x)=2kx

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Hence , the sum is 11x^2-8x-14.

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add 2x^2-8x-6 and 9x^2-8.

So, we can write it as :

2x^2 -8x-6+9x^2-8

Writing like terms together:

= 2x^2+9x^2-8x-6-8

=11x^2-8x-14

Hence , the answer is 11x^2-8x-14.

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Answer:f

(x)=x,  g(x)=x3−1f(x)=x4+x3−11x2−5x+30,  g(x)=2x−2f(x)=x2,  g(x)=7x−1

in short ways the answer is  7x−1

Write 5 three-digit numbers from left to right, the tens digit in your numbers should go up by 1.​

Answers

5 10 15 20 25 30




10 20 30 40 50 60
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Which expression is the greatest common factor of the two addends in 18x + 30x2?

Answers

Answer:

The answer is 6x

Step-by-step explanation:

Step-by-step explanation:

I think common factors are

18 = 1 2 3 6 9 18

30 = 1 2 3 10 15 30

So highest common factor is 3

18x + 30x2

3x (6 + 10x)

There are 15 pieces of fruit in the fruit in a bowl and 6 of them are apples. What percentage of the pieces of the fruit in the bowl are apples0.06%

0.4

6%

40%

Answers

The answer is 0.4 because 6/15 is 2/5 which is 0.4 as a decimal

Tom deposits $1000 into a savings account. That earns 5% simple interest. He has this account for 7 years. How much does it contain now?

Answers

Answer:

$1350

Step-by-step explanation:

5% of 1000 is 50

50x7 is 350

1000+350=1350
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