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bulgar [2K]
3 years ago
6

The table shows the outputs y for different inputs x:

Mathematics
1 answer:
kirill [66]3 years ago
4 0
Part A:

For a table to be considered a function, every x-value must have one y-value. 
Each x-value in this table is unique, and has only one y-value, so this table does represent a function.

Part B:

Plug in 7 for every x in the relation:

2(7) + 13 = 14 + 13 = 27

The table's output when x = 7 is 11. Compare the two outputs:

11 < 27

The relation, 2x + 13, has a greater value when x = 7.

Part C:

Set the relation to equal 75:

2x + 13 = 75

Subtract 13 from both sides:

2x = 62

Divide both sides by 2 to get x by itself:

\boxed{x = 31}

The x value that produces an output of 75 will be 31.
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Use division instead of the images to divide 18 by 4. What is the quotient of the division? What is the remainder?
musickatia [10]

18 \div 4
First see what 4 could go by and the answer closest to 18 that is not more than the answer is the first number of the answer.
4×1=4
4×2=8
4×3=12
4×4=16
In this case 4 is the first number of the answer because if you fo 4 by 5 it equals 20 , which is more than the answer
4×5=20
after that , you subtract the answer, 18 minus 16 which is 2 because nothing times 4 equals 2
So the remainder is 2/4 or .50
If you have any questions about this please don't hesitate to ask me

4 0
3 years ago
Determine the number and types of solutions for<br><br> 6m^2-3m-4=0
Anna11 [10]

Answer:

2 real solutions

Step-by-step explanation:

Remember this messy thing?

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.

For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.

4 0
3 years ago
The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take
marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

\dfrac{42}{13}\cdot 60 \approx 194

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

8 0
3 years ago
If y=32, then 86y+25−78y =
FrozenT [24]

Answer:

281

Step-by-step explanation:

plug y value into expression

86(32) + 25 - 78(32)

pemdas says we must multiply first

2752 + 25 - 2496

2777 - 2496

281

4 0
3 years ago
EXPERTS/ACE/GENIUSES PLZ HELP
Marta_Voda [28]
Sqrt(15) would be irrational

Answer is B
5 0
3 years ago
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