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3 years ago

Which of the following represents a function?

Mathematics

2 answers:

MatroZZZ [7]3 years ago

7 0

(C), because in a function you cannot repeat any of the x factors, in all A B and D you see that they repeat a number in the x, therefore the only answer choice left is C.

artcher [175]3 years ago

4 0

Answer:

The correct option is C.

Step-by-step explanation:

Consider the provided information.

A function is defined as a relation of input and output where each input has only one possible output or Each x value is associated with only one y value.

Now consider the provided tables

Option A has two y values for x = -15. i.e 16 and 22. Thus, this is not a function.

Option B has two y values for x = -3 i.e 16 and 15. Thus, this is not a function.

Option C has only one y values for each x value. Thus, this is a function.

Option D has two y values for x = -7 i.e 14 and 15. Thus, this is not a function.

Hence, the correct option is C.

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I like math so i think it's good for me

5 0

3 years ago

Please help, I need input on if I did this correctly and you just substitute.

kow [346]

The value of h(t) when $t=\frac{15}{32}$ is 10.02.

Solution:

Given function $h(t)=-16t^2+15t+6.5$

To find the value of h(t) when $t=\frac{15}{32}$ :

$h(t)=-16t^2+15t+6.5$

Substitute $t=\frac{15}{32}$ in the given function.

$$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5$

$$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5$

Now multiply the common terms into inside the bracket.

$$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5$

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

$$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5$

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

$$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}$

$$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}$

$$=\frac{-225+450+416}{64}$

$$=\frac{641}{64}$

= 10.02

$$h\left(\frac{15}{32} \right)=10.02$

Hence the value of h(t) when $t=\frac{15}{32}$ is 10.02.

8 0

3 years ago

Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.

Andre45 [30]

Answer: $28,752

Explanation:

The definition of bimonthly is an event that happens once in two months. $-bi$ represents "two", while $-monthly$ represents "event that happens by month.

Given that Glenda receives a salary of $4,792 bi-monthly, we are required to find the earnings per year.

There are 12 months in each year, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

$12/2=6$

Finally, we shall multiply the total number with the salary, which will be $4,792 times 6.

$4792*6=\boxed{28752}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago

Write an equation of the line that passes through the points (-3,-4),(6,-1)

klasskru [66]

Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0

3 years ago

Solve. 3(5z + 7) = 33

Ivenika [448]

Answer:

z = 4/5

Step-by-step explanation:

3(5z + 7) = 33

Divide each side by 3

3/3(5z + 7) = 33/3

5z+7 = 11

Subtract 7 from each side

5z+7-7 = 11-7

5z = 4

Divide by 5

5z/5 = 4/5

z = 4/5

3 0

3 years ago

Read 2 more answers