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maria [59]
3 years ago
15

Solve 3(4m - 6) = 12 and explain each step

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
Distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12
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56* cause alternate interiors angles
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Evaluate the function f(x)=x^2-5x+ 5 at the given values of the independent variable and simplify
11111nata11111 [884]

Step-by-step explanation:

The given function is :

f(x)=x^2-5x+ 5

(a) To find f(9), put x = 9 in the above expression.

f(9)=9^2-5(9)+ 5=41

(b) To find f(x+7), put x = x+7 in the above expression.

f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19

(c) To find f(-x), put x = -x in the above expression.

f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5

Hence, this is the required solution.

8 0
3 years ago
Simplyfy 3^0+4x2-5Captionless Image
larisa [96]

Answer:        4x² -4

Step-by-step explanation:

First, evaluate the exponent you'll get, 3^{0}+ 4x² -5 then evaluate to get, 1+ 4x² -5. Next, subtract the numbers, 1 + 4x² -5 then to get, -4 +4x². Lastly, rearrange the terms,  -4 +4x² turns into, 4x² -4!

4 0
3 years ago
Suppose you buy a $50 coffee maker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your to
ASHA 777 [7]

Answer:

4

Step-by-step explanation:

8% is also 8/100. This would be true for all percents 0 to 100%. If it were 42% it can be written as 42/100.

So, 8% is 8/100. If you want to find 8/100 of 50 multiply them.

8/100 * 50/1 = (8*50) /100

400/100 = 4

7 0
3 years ago
Read 2 more answers
Rewrite each expression without using absolute value notation |7m-56| if m&lt;8
dusya [7]

Considering the definition of the absolute value function, the expression is written as -7m + 56.

<h3>What is the definition of the absolute value function?</h3>

The absolute value function is defined as follows:

  • |x| = x, x \geq 0.
  • |x| = -x, x < 0

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

7 0
2 years ago
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