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leva [86]
3 years ago
9

3 (2f+g+4) is equivalent to 6f+3g+12 - true or false

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0

This is true. You applied the Distributive Property authentically.

tankabanditka [31]3 years ago
7 0

Multiply the bracket by 3

3(2f+g+4)

My answer is 6f+3g+12

Answer is true

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Which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
Nata [24]

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

7 0
3 years ago
Biologists tagged 139 fish in a lake on January 1, On February 1, they returned and collected a random sample
Bogdan [553]

Answer:

417 fish

Step-by-step explanation:

139/(10/30)=139*3=417

4 0
3 years ago
Find the value of A if the 4-digit number 3A5A is divisible by both 3 and 5.
Arturiano [62]

Answer:

The value of A is 5

Step-by-step explanation:

- The number is divisible by 3 if the sum of its digits is a number

  divisible by 3

- Ex: 126 is divisible by 3 because the sum of its digits = 1 + 2 + 3 = 6

  and 6 is divisible by 3

- The number is divisible by 5 if its ones digit is zero or 5

- Ex: 675 is divisible by 5 because its ones digit is 5

        890 is divisible by 5 because its ones digit is 0

- We are looking for the value of A in the 4-digit number 3A5A which

  makes the number divisible by both 3 and 5

∵ A is in the ones position

∴ A must be zero or 5

- Let us try A = 0

∵ A = 0

∴ The number is 3050

∵ The sum of the digits of the number = 3 + 0 + 5 + 0 = 8

∵ 8 is not divisible by 3

∴ 3050 is not divisible by both 3 and 5

∴ A can not be zero

- Let us try A = 5

∵ A = 5

∴ The number is 3555

∵ The sum of the digits of the number = 3 + 5 + 5 + 5 = 18

∵ 18 is divisible by 3

∴ 3555 is divisible by both 3 and 5

∴ A must be equal 5

* <em>The value of A is 5</em>

5 0
3 years ago
The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t
liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

                              8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

                              8 sin(x) tan2(x)

- We will first use reciprocal identities:

                              8\frac{sin(x)}{cos^2(x)} - 8sin(x)

- Now take LCM:

                            8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

                            8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

                            8*sin(x)*tan^2(x)

8 0
4 years ago
Read 2 more answers
in 2005, musicmart sold 12,000 cds. in 2010, they sold 14,550 cds. what is the rate of change in the number of cds sold?
inn [45]
2010-2005= 5 years. 14550-12000=2550
2550/5 = ans = 510 cds/year
8 0
2 years ago
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