Find the Domain and range.Also,state whether each set of ordered pairs ia a function or not
{(0,8),(7,-4),(5,-7),(-2,3),(7,0)}
Domain:_______
Range:_______
Funtion or not:_______

Answer:

[tex]\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}[/tex]

[tex]\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}[/tex]

Step-by-step explanation:

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a negative leading coefficient, the parabola opens downwards.   Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is positive is:

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.  

As the given quadratic function has a positive leading coefficient, the parabola opens upwards.   Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

[tex]\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies x+2=0 \implies x=-2[/tex]

[tex]\implies x-4=0 \implies x=4[/tex]

Therefore, the interval on which the function is negative is:

Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

Given Data

The remaining length (L) of 120-inch rope after x inches have been cut off: 120- x = L.

The fact that

If a relationship between two variables, x and y, can be written as or, then it represents a proportionate variation.

y = kx

The line passes through the origin, and the constant of proportionality, k, is equal to the slope of the line, m.

There are

The length (L) of a 120-inch rope that is left after x inches have been removed.

There are

The dependent variable is L —->. (output variable)

The independent variable is x. (input variable)

The linear formula is

L = 120-x

Due to the fact that the line does not pass through the origin, the equation does not represent a proportionate relationship.

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The mathematical sentence can be written as:

3 = x/6

And the solution is x = 18.

Here we have the following mathematical sentence:

"three is a number divided by 6"

If we define x as the "number", then we can write this as:

3 = x/6

So we have a simple linear equation, to solve this, we just need to multiply both sides of the equation by 6, we will get:

3*6 = (x/6)*6

18 = x

We conclude that the solution is 6.

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Answer:

Step-by-step explanation:

so if this = that then this = x plus five 5 into 9

is

6 9 420 = 69x so pls go away 4848]

568393=334-0i34-0 o

The true statement is option A, They show that the equation represents the same line.

Given,

Two equations:

Equation A : 4y - 3x = 4

Equation B : -2x - 8y = 8

These lines intersect at a single point (-2, -0.5)

We have to find the true statement which satisfies the values x as -2 and y as -0.5.

Lets check

x = -2

y = - 0.5

Equation A:

4y - 3x = 4

4 × (-0.5) - 3 × (-2)

= -2 - (-6)

=  - 2 + 6

= 4

Here, the values satisfies Equation A.

Now,

Equation B:

-2x - 8y = 8

= - 2 × (-2) - 8 × (-0.5)

= 4 + 4

= 8

Here also, the values satisfies the Equation B.

So, the true statement will be,

Option A, They show that the equation represents the same line.

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The original price of the motorcycle is approximately $7,987.

Here, we are given that p represent the motorcycle’s original price.

The sale price of Dealer A will be-

7.5% less that the original price

= 92.5% of p

= 0.925p

Similarly, the sale price of dealer B will be-

$599 less than original price

= (p - 599)

Now, these two prices are equal, so we can equate the two-

0.925p = (p - 599)

0.925p = p - 599

0.925p - p = -599

-0.075p = -599

p = -599/-0.075

p = 599/0.075

p = 599000/75

p = 7,986.67

Thus, the original price of the motorcycle comes out to be approximately $7,987.

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The expression that represents the distance is |-1/4 - 3/4|

From the question, the endpoints are given as

-1/4 and 3/4

Rewrite the endpoints properly

This is done as follows

Endpoint 1 =  -1/4

Endpoint 2 =  3/4

The distance expression between the endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2 |

Substitute the known values in the above equation

So, we have the following equation

Distance = |-1/4 - 3/4|

Hence, the disance expression is |-1/4 - 3/4|

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The number of seconds that the magician hold his breath when he first tried is 90 seconds.

With the new technique, he can hold his breath for 144 seconds and that is 60 percent more than he was able to do when he first tried.

Let the number of seconds for the first try be represented by x. Therefore, based on the information, this will be illustrated as:

= x + (60% × x) = 144

x + 0.6x = 144

1.6x = 144

Divide

x = 144 / 1.6

x = 90

Therefore, the first try is 90 seconds.

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Answer:

A, 9100 210 C 1520 99144 NO ES PERO BUENO MIRA AVER SI

Answer:

[tex]g(x)=\dfrac{x^2+1}{3}[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=3x-1\\(f \circ g)(x)=x^2\end{cases}[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, the given composite function (f o g)(x) means to substitute function g(x) in place of the x in function f(x).

[tex]\begin{aligned}(f \circ g)(x) & = x^2\\f(g(x)) & = x^2\\\implies 3(g(x))-1 & = x^2\\3(g(x))-1+1 & = x^2+1\\3(g(x))&=x^2+1\\\dfrac{3(g(x))}{3}&=\dfrac{x^2+1}{3}\\\implies g(x)&=\dfrac{x^2+1}{3}\end{aligned}[/tex]

Therefore:

[tex]\boxed{g(x)=\dfrac{x^2+1}{3}}[/tex]

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

2([tex]\frac{2}{5}[/tex] ) + 2(- [tex]\frac{1}{5}[/tex] )

= [tex]\frac{4}{5}[/tex] + (- [tex]\frac{2}{5}[/tex] )

= [tex]\frac{4}{5}[/tex] - [tex]\frac{2}{5}[/tex]

= [tex]\frac{2}{5}[/tex]

The best plot for these results is given by:

C. Plot C.

The mean result for each group is given as follows:

Then we have to look at the vertical bars of each plot, and see the scores given.

For plot A, the scores are given as follows:

For plot B, the scores are given as follows:

For plot C, the scores are given as follows:

For plot D, the scores are given as follows:

Plot C has the closest value readings to the actual values of 36.8 and 52.4, hence it is the best option to plot the scores for each group.

The problem is missing and is given by the image at the end of the answer.

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The missing partial products are:

10 x 2 = 20

6 x 50 = 300

6 x 2 = 12

The sum of the  partial products is,

16 x 52 = 500 + 300 + 20 + 12 = 832

Here the partial products method is used to find the product of two two digit numbers 16 and 52.

For this a table of the form given in the figure is constructed in which the partial products are found.

For this first split 16 and 52 into 10 + 6 = 16 and 50 + 2 = 52.

Then take the partial products between 10 and 50, 10 and 2, 6 and 50, 6 and 2. Then take the sum of all these four values to get the final answer. This is the method of partial products.

So finding the partial products,

10 x 50 = 500

10 x 2 = 20

6 x 50 = 300

6 x 2 = 12

To find the final answer, take the sum of these products.

500 + 300 + 20 + 12 = 832

⇒ 16 x 52 = 832

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We have to find the side of a square with a diagonal with length 12√10 ft.

We can sketch this as:

We can apply the Pythagorean theorem as:

Answer: the square side length is 12√5

Suppose a life insurance company sells a $280,000 one year term life insurance policy to a 24 year old female for $290.Then The expected value of this policy to the insurance company is $168.76

Probability that Person doesn't die = 0.999567. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999567 = 0.000433. Profit = Revenue - Cost; Profit = $290 - $280000 = -$279710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999567) + (-$279,710* 0.000433)

E(X) = $289.87443 - $121.11443

E(X) = $168.76

Thus, the expected value of this policy to the insurance company is $168.76

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The description that represents a sample is A. The first 5,000 people who downloaded its No. 1 hit song.

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

It should be noted that all people who downloaded its No. 1 hit song represents the entire population. The sample is a subset of the population.

In conclusion, the correct option is A.

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Answer:

22/33,2/3 and 6/9=0.66666666666666666 or 0.6(bar) as asked in question

3/5 is equal to 0.6 not 0.66666666

Pls mark as brainliest

Answer:

y + 2 = -2(x - 2) (point-slope form)

y = -2x + 2 (slope-intercept form)

2x + y = 2 (standard form)

Step-by-step explanation:

[tex]m = \frac{ - 4 - ( - 2)}{3 - 2} = - \frac{2}{1} = - 2[/tex]

[tex]y + 2 = - 2(x - 2)[/tex]

[tex]y + 2 = - 2x + 4[/tex]

[tex]y = - 2x + 2[/tex]

[tex]2x + y = 2[/tex]

The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0. The solutions exists x = -4, x = -2, x = 1.

The zero-product property in algebra asserts that two nonzero items cannot be multiplied together to produce zero.

The Zero Product Property simply notes that if ab = 0, then either a = 0 or b = 0 (or both). A product of factors exists zero if and only if one or more of the factors exists zero.

Let the given equation be (x+4)(x+2)(x-1)=0

By using the Zero Factor Principle, we get

If ab = 0 then a = 0 or b = 0

then x + 4 = 0 or x + 2 = 0 or x - 1 = 0

Solve x + 4 = 0

⇒ x = -4

Solve x + 2 = 0

⇒ x = -2

Solve x - 1 = 0

⇒ x = 1

The solutions are x = -4, x = -2, x = 1

Therefore, the correct options exists:

b) 1

c) -4

e) -2

The complete question is:

An equation is shown below.

(x + 4)(x + 2)(x - 1) = 0

Select all of the following values that make the equation true.

a) 4

b) 1

c) -4

d) 0

e) -2

f) 2

g) -1

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Answer:

All of them

Step-by-step explanation:

The ratios equivalent to 6:8 would be:

21:28

9:12

36:48

All of these answer choices would be correct because they are all multiples of 6

Step-by-step explanation:

a. f(x) = 6x+5 and g(x) = x--5/6

f(g(x)) = 6x + 5

Now, let x = g(x) (remember f(x) = 6x+5 so we got the x from f(x))

f(g(x)) = 6(x--5/6) + 5

Open bracket

f(g(x)) = 6(x -- 5/6) + 5

f(g(x)) = x -- 5 + 5

f(g(x) = x

b. g(f(x) = x--5/6

g(f(x) = (6x+5) -- 5/6

g(f(x)) = 6x + 5 -- 5/6

g(f(x)) = 6x/6

g(f(x)) = x...

To check for inverse

1/g(f(x) = 1/x

1/f(g(x) = 1/x

Meaning 1/f(g(x) = 1/g(f(x) inverse of each other

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Answer:

the first opinion is  the right answer

Step-by-step explanation:

brainliest

In a square, if the side is 8 cm and the square is having all its sides equal. Therefore, the area will be 8×8 = 64 cm²

Square: A plane-closed figure with four sides, having all four sides equal and connected with one another at 90° which creates four right angles.

unlike a rectangle that has both length and breadth and all sides are not equal, rather rectangle has two opposite sides equal.

if, length = breadth, this will result in the formation of a square.

Therefore, Breadth in the square doesn't exist as all sides are equal in the square. Area of a square = side× side

⇒ 8×8 = 64 cm².

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Answer:

the formula for the vertex is f(x)=a(x-h)²+k

so if you replace -4= a(0-5)²+-2

so a=-0.08

The formula would end up like this f(x)=-0.08(x-5)²+-2

Step-by-step explanation:

Answer:

This is the most optimal way to resolve the problem:

Step-by-step explanation:

15/n+2 = 3n/n

15/n+2 = 3

3 (n+2) = 15

n = 5 - 2

n = 3

a.) In Line 1 Kylie made her error.

b.) Kylie's error is that she opened the bracket -2(x - 5) in the first line and did not change the negative sign to a positive sign as she multiplied -2 and -5 as a negative number multiplied by a negative number is a positive number.

c.) The correct solution to the problem is given by,

Given: 6x - 2(x - 5) = 22

6x - 2x + 10 = 22

4x = 22 - 10

4x = 12

x = 12/4

x = 3

Hence, the value of x is 3 and not 8.

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Answer:

54.6

Step-by-step explanation:

Answer:

54.6

Step-by-step explanation:

Multiply 4.55 by 12 to get 54.6.

Then divide it by 12 to get 4.55

The solution set to the inequality, -1/2m ≥ 7/11, is: m ≤ -14/11.

See attachment for the graph.

If the possible set of values to an inequality is "greater than or equal to" (≥), or "less than or equal to" (≤), then a closed circle is used to indicate the point on the graph.

On the other hand, an open circle is used for "< or >".

If it is "> or ≥" the shaded arrow is drawn to the right, if "< or ≤", it is drawn to the left of the inequality graph.

Given the inequality, -1/2m ≥ 7/11, solve for m:

-1/2m(-2) ≥ 7/11(-2)

m ≤ -14/11 [the sign changes because we are multiplying both sides by negative number]

The solution to the inequality is: m ≤ -14/11.

The graph is given below for m ≤ -14/11.

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Answer:

D

Step-by-step explanation: the answer is D with the arrow pointing to the left.

Hope this helps!

Answer:

The correct equation is 2x + 6 = 24.

Answer: x+-3

Step-by-step explanation: So you can make the number a variable so I put x and you add -3 so your answer would be x+-3

Hope this helped!!!!