Ask question

Ask question

All categories

riadik2000 [5.3K]

3 years ago

9

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

1 answer:

kvasek [131]3 years ago

8 0

$-3(6- 2x) \geq4x + 12\\\\-18+6x\geq4x+12\\\\2x\geq30\\\\x\geq15\\\\x\in[15,\infty)$

So, the last one.

You might be interested in

3. At a manufacturing plant, it is known that 8% of the computer chips produced are defective. A random sample of 20 chips is ta

nordsb [41]

Answer:

Probability of three chip being defective is 0.012

Step-by-step explanation:

Probability of a computer chip being defective is 0.08 or 8%

Total random sample = 20

Probability of three chip being defective = 3/20 * 0.08

= 0.012

3 0

2 years ago

The perimeter of a square is 36 inches. Find the length to f one side.

VMariaS [17]

Answer:

9 because 36 divided by 4 is 9

Step-by-step explanation:

3 0

3 years ago

The cost of turkey is directly proportional to its weight. If a 12-pound turkey costs $27, how much does a 16-pound turkey cost?

Reptile [31]

Answer:

D

Step-by-step explanation:

27/12= 2.25

2.25*16=36

6 0

3 years ago

Please I really need help with 10-17

Ira Lisetskai [31]

This is for number 10

6 0

3 years ago

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

3 years ago