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Test of a horizontal line.Suppose f is a function.F does not have an inverse if any horizontal line crosses the graph of f more than once.F does have an inverse if no horizontal line crosses the graph of f more than once

How do you calculate f's inverse?

f= {(1,2),(2,3),(3,5),(4,7)}

Dom(gof)=dom(f)={1,3,4}.

(gof)(1)=g{f(1)}=g(2)=3,

(gof)(3)=g{f(3)}=g(5)=1

(gof)(4)=g{f(4)}=g(1)

∴gof={(1,3),(3,1),(4,3)}.

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Answer:

CD and BG

EF and AH

Step-by-step explanation:

Skew lines are a lines that are on different planes.

BC and CD are on the same plane, and EF and FG are on the same plane.

This leaves CD and BG, and EF and AH, which are on different planes, and thus skew lines.

Answer: 6, 48 and 7, 56 and 9, 72 and 10,80

Step-by-step explanation:

Answer:

c because if the number next to the underlined is above 5 u round up under 4 u round down

Step-by-step explanation:

Answer: c. 76

Step-by-step explanation: 0.758 to the hundredth place is 0.76 because numbers5 and above round up.

Answer: 11

Step-by-step explanation:

8x + 7 = 9x - 4

7 = x - 4

11 = x

We have to find the length of FH.

We know that G is on the line, and we know the length FG and GH, so we can represent this as:

We then, we can apply the rule that states that the length of a segment is equal to the length of the segments that are part of it:

Answer: FH = 15

[tex]18-51=36x+45-18x-60\\18x-51=36x-18x+45-60\\18x-51=18x-15\\18x-18x=-15+51[/tex]

∴ 18x-18x≠-15+51

THERE IS NO SOLUTION FOR THIS EQUATION

Answer:

s=3

Step-by-step explanation:

So you have the equation: [tex]\frac{6}{s}=2[/tex]

If we multiply both sides by this "s" value we should maintain equality, and it conveniently cancels out our division by "s" on the left side giving us the following equation: [tex]6=2s[/tex]

The only "operation" on the value "s" is the coefficient of 2, which is multiplying the value of "s" by 2.

To undo this multiplication of 2, we simply divide by 2, since 2/2 = 1, and now we have a coefficient of 1 for the "s", which is the same as isolating "s"

But we want to divide both sides by 2 to maintain equality, so let's write out our expression

[tex]\frac{6}{2}=\frac{2s}{2}\implies3=\frac{2}{2}*s\implies 3=s[/tex]

We can double check this by plugging in this value for "s" in the original equation: [tex]s=3, \ \frac{6}{s}=2\implies \frac{6}{3}=2\implies 3=3[/tex] which is indeed true, so we have our solution!

the answer is this

4 4/8.

The equation for the hourly rate is 55x = 1578.5

For double hourly rate for overtime, it is 55 x 2x= 1578.5

Given

Antonia makes X dollars for regular hours

And 2x dollars for over time

Since he works 55 hours this week he works 8 hours a day

Hence the equation is as follows

55x = 1578.5

x= $28.7

In case of double payment during overtime

He gets double amount as following equation

55 x 2x

55 x 2(28.7) =  $3157

Hence the equation to find his hourly rate is 55x = 157.85

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Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The value of x if T is the midpoint segment XY is 14.

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints.

The midpoint is halfway between the two end points.

Therefore, the end point of the segment is XY.

The midpoint is T.

Hence,

XY = XT + YT

XT = 3x - 14 = YT

XY = 8x - 56

Let's find the value x.

Therefore,

8x - 56  = 3x - 14 + 3x - 14

8x - 56 = 6x - 28

8x - 6x = -28 + 56

2x = 28

divide both sides by 2

x = 28 / 2

x = 14

Therefore, the value of x is 14

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The graph of the absolute value function is an inverted "V" such that the vertex is at (-4, -5) and opens downwards.

We call a modular function the function f(x) = |x|, in which its domain is given by the real numbers and its range is the positive real numbers. This is because, for every negative value on the y-axis, the modular function will make |-y| = -(-y) = y

Therefore, to plot the graph of a modular function, it is enough to adopt some values ​​for x and apply them to the function f(x) = | x |, in order to obtain their respective values ​​in y.

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Answer:

I believe it should be

f(1.7) = 2.8

f(-3.4) = -17.6

f(9.8) = 35.

Step-by-step explanation:

Simply plug-in the different numbers for x.

Answer:

y = 5, 3

x = 155, 171

(y = 5, x = 155)

(y = 3, x = 171)

Step-by-step explanation:

(8y - 15) = (y²)

-8y + 15          -8y + 15

--------------------------------

y² - 8y + 15 = 0

(y - 5) (y - 3) = 0

--------------

y = 5, 3

----------------------------------------------------------------------------------------------------------

y² + x = 180

(5)² + x = 180

25 + x = 180

-25         -25

--------------------

x = 155

(3)² + x = 180

9 + x = 180

-9            -9

------------------

x = 171

----------------------------------------------------------------------------------------------------------

I really hope this helps!

Step-by-step:

n(x) = -1 - x + 4

n(-2) = -1 - (-2) + 4

  = -1 + 2 + 4

  = 5

___________________________

n(0)= -1 - 0 + 4

  = 3

___________________________

n(5)= ​-1 - 5 + 4

  = -2

Using simple interest, the amounts invested into each account are given as follows:

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

The amount of interest after t years is given by:

I(t) = Prt

You invest $8,000 in 3 investment accounts, hence:

[tex]P_1 + P_2 + P_3 = 8000[/tex]

From the rates of the account, we have that:

The amount invested in the glass account was double the amount invested in the metal account, hence:

[tex]P_3 = 2P_2[/tex]

The yield was a total of $280 at the end of one year, hence:

[tex]I_1 + I_2 + I_3 = 280[/tex]

[tex]0.02P_1 + 0.04P_2 + 0.05P_3 = 280[/tex]

From the first and the third equations, we have that:

[tex]P_1 + P_2 + P_3 = 8000[/tex]

[tex]P_1 + 3P_2 = 8000[/tex]

[tex]P_1 = 8000 - 3P_2[/tex]

Hence the amount of the metal investment can be found as follows:

[tex]0.02P_1 + 0.04P_2 + 0.05P_3 = 280[/tex]

[tex]0.02(8000 - 3P_2) + 0.04P_2 + 0.05(2P_2) = 280[/tex]

[tex]0.08P_2 = 120[/tex]

[tex]P_2 = \frac{120}{0.08}[/tex]

[tex]P_2 = 1500[/tex]

Hence the other investments are given as follows:

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he needs 3 pints of mango

Answer:3

Step-by-step explanation:

If the ratio is 1:5 that means that the number of pints of apple juice is multiplied by 5 to get the nimber of pints of mango juice

Answer:

$3337.92

Step-by-step explanation:

$3.66 x 912 = $3337.92

Answer:

u= 30

Step-by-step explanation:

the sum of all angles on a triangle is 180* so u add the others (120+30)

that brings it to 150 then 180-150=30*

The equation best compares the slopes of two functions is,

Slope of function B = 2 × Slope of function A

Given,

The function A, f(x) = x - 9

We have to find slope of Function B

The function is in the form of y = mx + b

Here, m is the slope.

y = x - 9

m is 1 and b is -9

Now, lets consider the graph of line passing through points (-1, -3) and (2, 3)

That is,

(x₁, y₁) = (-1, -3)

(x₂, y₂) = (2, 3)

Now we can find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-3)) / (2- (-1))

m = (3 + 3) / (2 + 1)

m = 6/3

m = 2

That is, the slope of function B is 2

Here,

Slope of function A is 1.

That is, slope of function B is twice the slope of function A.

Therefore, the equation best compares the slopes of two functions is,

Slope of function B = 2 × Slope of function A

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Answer: -2

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

The probability that all four defective bulbs will be obtained by the same person is 0.1140   .

In the question ;

it is given that

the total number of light bulbs in the box = 24 bulbs

total number of bulbs available for first person = 24 bulbs

number of defective bulbs = 4

So, the number of ways the first person can select 4 defective bulbs out of 10 selection = C(10,4)

total number of ways that first person can select 4 defective bulbs out of 24 bulbs  = C(24,4)

So , the Probability that all four defective bulbs obtained by first person = C(10,4)/C(24,4) . .......(i)

Since 10 bulbs have been selected

So, total number of bulbs available for second person = 14 bulbs

number of defective bulbs = 4

So, the number of ways the first person can select 4 defective bulbs out of 14 remaining bulbs = C(14,4)

total number of ways that first person can select 4 defective bulbs out of 24 bulbs  = C(24,4)

So , the Probability that all four defective bulbs obtained by second person = C(14,4)/C(24,4) . .....(ii)

Probability that all four of the defective bulbs will be obtained by the same person

= P(four defective bulbs obtained by first person) + P(four defective bulbs by second person)

Substituting the probabilities from (i) and (ii) , we get

= C(10,4)/C(24,4) + C(14,4)/C(24,4)

= (210/10626 )+(1001/10626) ...as C(10,4)=210 ,C(24,4)=10626, C(14,4)=1001

= 1211/10626

= 0.1139657

≈ 0.1140

Therefore , the probability that all four defective bulbs will be obtained by the same person is 0.1140   .

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Answer:

x- intercept: ( -10,0)

y- intercept: (0, -45)

Step-by-step explanation:

An x intercept can be determined from the graph above by recognizing where the given line crosses the x-axis. The same is true for the y intercept and the y-axis.

On this graph, we see that the line crosses the x axis at the point ( -10,0), making this our x intercept.

We also see that the line crosses the y axis at the point (0, -45), making this our y intercept.

HOPE THIS HELPS!!

Answer:

1. 5- (-8) = 13

2. -3 1/2 - 4 1/2 = -7 1/2

3. -7 - 4 = -11

4. -0.5 - 3.5 = -4

Step-by-step explanation:

1. 5- (-8) =

5 + 8

13

2. -3 1/2 - 4 1/2 =

-7 1/2

3. -7 - 4 =

-11

4. -0.5 - 3.5 =

-4

We can conclude that the probability of the randomly selected person does not use any facility is 0.

So, the probability that the selected person does not uses any facility:

Therefore, we can conclude that the probability of the randomly selected person does not use any facility is 0.

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Answer:

20

Step-by-step explanation:

The sum of the exterior angles of a polygon add to 360.  360 divided by 18 is 20.

Answer:

9

Step-by-step explanation:

[tex]p(x)=4x^6+x^2+4 \\ \\ p(1)=4+1+4=9[/tex]

The correct option is Option(c) An observational study where religious affiliation is an independent variable.

Therefore, it is an observational study where religious affiliation is an independent variable.

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The complete question is: "According to a study published in the journal Social Psychological and Personality Science, people with religious affiliations live longer, on average, than those without religious affiliations. The study analyzed more than 1,000 obituaries and accounted for other variables like sex and marital status.

What type of study is this, and what is the explanatory variable?

A. A manipulative experiment where religious affiliation is an independent variable

B. A manipulative experiment where lifespan is an independent variable

C. An observational study where religious affiliation is an independent variable

D. An observational study where lifespan is an independent variable."