MATHEMATICS HIGH SCHOOL

Divide 4 2/15 by 3.1.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

4 2/15 / 3.1 = 1.33333333333

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Given f(2) = 12, which of the following could be an equation of the function?A.
f(x) = 8x – 2
B.
f(x) = 4x + 4
C.
f(x) = 6x – 4
D.
f(x) = –4x – 4

Answers

Answer is B. f(x) = 4x + 4 When we use x=2 in this function f(2) = 4(2) + 4 f(2)= 8 + 4 f(2) = 12 So the answer is B.

Six times the sum of a number and twelve is forty. Which equation represents this?


6N + 12N = 40
6N + 12 = 40
6(N + 12) = 40

Answers

Depends if number twelve is multiplied by six as well. In other words, it depends if the text means:
six times the sum of (a number and twelve) or six times the sum of a number and than plus 12 equal 40.

In first case answer is:
6(N + 12) = 40 and in second
in second:
6N + 12 = 40
The last one
6(N+12)= 40

At Factory Y, a worker's wages for a 40-hour week is $200. She is paid 10% of her regular weekly wages for every hour that she works overtime. At the end of a certain week she received $380. Calculate the number of hours of overtime that she worked.

Answers

Answer:

She worked 18 hours of overtime.

Step-by-step explanation:

If she works 40 hours per week and gets $200, subtract $380 - $200 = $180.

If you multiply $180 by 0.1 (which is 10% converted to a decimal), you get 18 which is your final answer.

Expand and simplify (2+3i)(4-I)

Answers

(2+3i)(4-i)=\n8-2i+12i+3=\n11+10i
(2 + 3i)(4 - i)
8 - 2i + 12i - 3i²
8 + 10i - 3(-1)
8 + 10i + 3
8 + 3 + 10i
11 + 10i

In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?

Answers

Answer:

33/65

Step-by-step explanation:

Answer:

.51

Step-by-step explanation:

Y=3x-5
3y-12x=-6
Substitution method

Answers

Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 3x−5.
y=3x−5 
3(3x−5)−12x=−6

Simplify each term.
y=3x−5 
9x−15−12x=−6

Add 9x and −12x to get −3x.
y=3x−5 
−3x−15=−6

move -15 to the right-hand side of the equation by adding 15 to both sides.
y=3x−5 
−3x=15−6

Subtract 6 from 15 to get 9.
y=3x−5 
−3x=9

Simplify

(−3,−14)
1y =  3x - 5    ⇒ 1y -  3x = - 5 ⇒ 3y +  9x = 15
3y - 12x = -6 ⇒ 3y - 12x =   6 ⇒ 3y - 12x =   6
                                                           21x = 21
                                                            21     21
                                                               x = 1
                                                      y - 3(1) = -5
                                                          y - 3 = -5
                                                             +3   +3
                                                               y = 2
                                                         (x, y) = (1, 2)
                        
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