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-Dominant- [34]
3 years ago
14

Solve the inequality 1/2 y +6<0

Mathematics
1 answer:
yan [13]3 years ago
8 0
Answer:All these are equivalent, valid answers:

 y  <  -12

all real numbers less than  - 12:

( - ∞ , - 12)

{ y ∈ R | y < - 12}

Explanation:

1) Starting pointL inequality (1/2)y + 6 < 0

2) subtract 6 from both sides:

(1/2)y + 6 - 6 < 0 - 6

(1/2) y < - 6

3) multiply both sides by 2:

(2)(1/2)y < - (2) (6)

y  <  -12

4) That is all real numbers less than  - 12:

Equivalent to ( - ∞ , - 12) or { y ∈ R | y < - 12}

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Write one digit on each side of 36 to make a four-digit multiple of 36. How many different solutions does this problem have?
vaieri [72.5K]

9514 1404 393

Answer:

  3 solutions: 1368, 5364, 9360

Step-by-step explanation:

In order to be divisible by 36, the number must be divisible by 9 and by 4. The number will be divisible by 9 if the sum of its digits is divisible by 9. 36 already has a digit sum of 9, so the two added digits must sum to 9.

The number will be divisible by 4 if the least-significant digit is a multiple of 4. That is, it must be 0, 4, or 8. Then the corresponding most-significant digits must be 9, 5, or 1.

The three solutions are ...

  1368 = 38 · 36

  5364 = 149 · 36

  9360 = 260 · 36

6 0
3 years ago
An auto repair shop charges $36 per hour, plus the cost of replaced parts. Which of the following expressions can be used to cal
aivan3 [116]

Answer:

44h

Step-by-step explanation:

Auto repair shop Charge - $36

Replaced Parts - $8

Number of Hours - h

Formula to find the total cost

(Auto Repair Shop Charge + Replaced Parts) x Number of Hours

= (36 + 8) x h

= 44 x h

= 44h

3 0
2 years ago
Compared with the graph of the parent function,
Arada [10]

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

5 0
2 years ago
If your starting salary is 40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars,
Molodets [167]

Answer:

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Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

5 0
3 years ago
Which two expressions are equivalent?
MariettaO [177]

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

7(6+z) = 42 + 7z

the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

6 0
2 years ago
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