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2 years ago

Which equation is a function of x? x = 5 x = y squared 9 x squared = y x squared = y squared 16

Mathematics

1 answer:

natita [175]2 years ago

4 0

The equation which is a function of x is x²=y.

Given an equation that is a function of x.

A function may be a relation between a collection of inputs and a collection of permissible outputs with the property that every input is said to precisely one output.

If we input a value of x then we get the output f(x) = y, which is the function of x.

We are given four options out of which we are to pick the one which may be a function of 'x'.

The first option is x=5 in which no term of y is included and its a constant. So, option 1 is not correct.

The second option is x=y²+9 in which y contains a power 2. So, option 2 is not correct.

The third option is x²=y in which y contains power 1. So, option 3 is correct.

The fourth option is x²=y²+16 in which y contains a power 2. So, option 3 is not correct.

Hence, the equation which is a function of x is x²=y.

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You might be interested in

Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

$f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

6 0

3 years ago

Read 2 more answers

PLEASE HELPPPPPPPPP!!!!?????

natta225 [31]

Answers:

Mean = 69
Median = 69
Mode = {68, 70}

===============================================

Explanations:

To get the mean, you add up all of the values and then you divide by N, where N is the number of values in the list. In this case, you'll divide by N = 8.

Adding up all the values gets you 70+68+70+72+68+66+65+73 = 552. Dividing that over 8 then leads to the arithmetic mean of 552/8 = 69

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To find the median, you'll first sort the values from smallest to largest. You should have this set {65, 66, 68, 68, 70, 70, 72, 73} after sorting. Next, cross off the smallest and largest values to end up with this smaller set {66, 68, 68, 70, 70, 72}. We do this so we can locate the middle-most item.

Repeat the process of crossing off the smallest and largest items to get {68, 68, 70, 70}. Do so one more time and we get {68,70}.

The midpoint of those two values is (68+70)/2 = 138/2 = 69. The median is 69. The mean and median may not always be the same value.

--------

The mode is the most frequent value. In this case, we have 68 and 70 show up exactly twice for each unique value. This is the most compared to the other unique values that only show up exactly once.

It is possible to have more than one mode, as long those values are more frequent than the rest. We denote the mode as a set, so the mode is {68, 70}

8 0

3 years ago

Consider triangle WXY... which statement about the angles is true?

Brrunno [24]

Answer: The correct option is (A) Angle W is greater than angle Y.

Step-by-step explanation: Given that the measures of the three sides of a triangle XYZ are as follows:

XY = 10 units,

WY = 14 units,

WX = 5 units.

We are to select the correct statements regarding the angles of ΔXYZ.

Writing the lengths of the sides in ascending order, we have

$5$

Since the angle opposite to a smaller side of a triangle is smaller, so from inequality (i), we get

$WX$

Option (A) is "Angle W is greater than angle Y".

This option is correct, because we have ∠W > ∠Y.

Option (B) is "Angle Y is the largest angle".

This is incorrect because ∠X is the largest angle.

Option (C) is "Angle X is smaller than angle W"

This is incorrect because ∠X is the largest.

Option (D) is "Angle W is the smallest angle".

This is incorrect because ∠Y is the smallest.

Thus, (A) is the correct option.

5 0

3 years ago

Read 2 more answers

Which is the equation of a line that has a slope of 3/2 and has the point of (-10,4)

Daniel [21]

Y = 3/2x + b
4 = 3/2(-10) + b
4 = -15 + b, b = 19
Y = 3/2x + 19

5 0

3 years ago

Friday's meeting needs 12 more sandwiches than Tuesday which needs 6 fewer than Monday which needs 20 more than wednesday which

Alina [70]

He will need 315 sandwiches to make each day next week

Step-by-step explanation:

The given:

Friday's meeting needs 12 more sandwiches than Tuesday
Tuesday needs 6 fewer than Monday
Monday needs 20 more than Wednesday
Wednesday needs 5 fewer than Thursday
The number of sandwiches ordered for the meeting that calls for the fewest is 50

We need to find how many sandwiches he will need to make each day next week

Assume that Tuesday needs x sandwiches

∵ Friday's meeting needs 12 more sandwiches than Tuesday

∵ Tuesday needs x sandwiches

- Add x by 12 to find Friday's need

∴ Friday needs = x + 12

∵ Tuesday needs 6 fewer than Monday

- That means Monday needs 6 more than Tuesday, add 6 to x

to find Monday needs

∴ Monday needs = x + 6

∵ Monday needs 20 more than Wednesday

- That means Wednesday needs 20 less than Monday, subtract

20 from Monday needs to find Wednesday needs

∴ Wednesday needs = x + 6 - 20 = x - 14

∵ Wednesday needs 5 fewer than Thursday

- That means Thursday needs 5 more than Wednesday, add 5 to

Wednesday needs to find Thursday needs

∴ Thursday needs = x - 14 + 5 = x - 9

∵ The number of sandwiches ordered for the meeting that calls

for the fewest is 50

- From the days needs above the fewest one is Wednesday, then

equate Wednesday needs by 50

∵ Wednesday needs is x - 14

∴ x - 14 = 50

- Add 14 to both sides

∴ x = 64

Substitute x in each day needs to find the number of sandwiches

∵ Tuesday needs is x

∴ Tuesday needs = 64

∵ Friday needs is x + 12

∴ Friday needs = 64 + 12 = 76

∵ Monday needs is x + 6

∴ Monday needs = 64 + 6 = 70

∵ Wednesday needs = 50

∵ Thursday needs is x - 9

∴ Thursday needs = 64 - 9 = 55

Add the numbers of sandwiches of all day to find the number of sandwiches he will need to make each day next week

∵ The number of sandwiches = 76 + 64 + 70 + 50 + 55

∴ The number of sandwiches = 315

He will need 315 sandwiches to make each day next week

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4 0

3 years ago