Which function has a restricted domain?

Step-by-step explanation:

2and5 is 7

1and 5 is 6

4and 6 is 10

2and 6is 8

Answer:

domain= (-2,0,2)

range= (0,4)

Answer:

16 and 34

Step-by-step explanation:

The general form = 3n+4

The 4th term = 3(4)+4 = 12+4 = 16

The 10th term = 3(10)+4= 30+4= 34

Based on the required width and height of the tent, the length of the cloth would have to be 14.4 ft.

The opening of the tent would be an isosceles triangle but if it is divided in two from the top, a right-angled triangle will be formed and the hypotenuse will be the length of the cloth on one side.

That length - according to the Pythagoras theorem - would be:

= √(6² + (8 /2)²)

= √(36 + 16)

= 7.2 ft

As this is the length of one side of the cloth, the length of the entire cloth is:

= 7.2 x 2

= 14.4 ft

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Answer:

20x + 8

Step-by-step explanation:

5*4x + 5*5 -17

20x +25 -17

20x + 8

The normal distribution is also known as the Gaussian distribution. The correct option is B, while the approx z-score is 0.31.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Since the normal distribution is symmetrical about the mean. Therefore, the correct option is B, while the approx z-score is 0.31.

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The value of x in the right angle triangle is 45 / 4 units

AB² = 20² - 15²

AB = √400 - 225

AB = √175

AB = √175 units

Hence, using similarity ratio,

x / 15 = 15 / 20

cross multiply

20x = 225

x = 225 / 20

x = 45 / 4

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Answer:

[tex]80\times3[/tex]

Step-by-step explanation:

Based on the given conditions, formulate:  [tex]80\times3[/tex]

Calculate the product or quotient: 240

get the result: 240

Answer: 240

To find this answer, we had to use the expression 80 * 3, therefore making it the answer.

Answer:

240

Step-by-step explanation:

80*3=240

so u multiply the equation

The value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = x²

The above function is a parent function.

The translation: vertical translation from the graph of the parent function.

F(x) → f(x) + 3

F(x) = x² + 3

The above function will shift vertical up by 3 units.

Thus, the value is 3 which represents the vertical translation from the graph of the parent function f(x)=x² option third 3 is correct.

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Answer:

x-intercept: (1,0)

y-intercept: (0,1)

Step-by-step explanation:

Given: Find the x and y intercepts of 2x + 2y = 2

To solve for a x - intercept we have to substitue 0 in for y and solve for [tex]x[/tex]

Lets do it:

2x + 2(0) = 2

2x + 0 = 2

2x = 2

x = 1

Therefore, this means that when y = 0, x = 1 or (1,0)

To solve for a y - intercept we have to substitue 0 in for x and solve for [tex]y[/tex]

Lets do it:

2(0) + 2y = 2

0 + 2y = 2

2y = 2

y = 1

Therefore, this means that when x = 0, y = 1 or (0,1)

The answer choice which represents a relative frequency bar graph is; A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.

The statistical definition of relative frequency is simply the ratio of the frequency of an event in a statistical experiment with respect to the total frequency. Hence, since the frequencies in the social media bar chart as decimals (fractions of a whole), it follows that it is a relative frequency representation.

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Answer  Its B

Step-by-step explanation:Edge 2022 I guess

Answer:

  11, 7, 3, -1, -5

Step-by-step explanation:

The dependent variable y is often used interchangeably with the function value f(x). That is, we can usually presume that ...

  y = f(x)

__

To find f(x), put the value of x everywhere x appears in the function definition, and do the arithmetic. A calculator or spreadsheet can relieve some of the boredom of repetition. Here are a couple of examples.

  f(-2) = -4(-2) +3 = 8 +3 = 11

  f(-1) = -4(-1) +3 = 4 +3 = 7

You may notice that each increase of 1 in the value of x causes a decrease of 4 in the value of y. That means we can simply subtract 4 from the previous value of y to find the next one:

  [tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-2&11\\\cline{1-2}-1&7\\\cline{1-2}0&3\\\cline{1-2}1&-1\\\cline{1-2}2&-5\\\cline{1-2}\end{array}[/tex]

__

Attached is an example of this table being filled by a calculator.

Answer:

9a + 18

Step-by-step explanation:

so the first step is to evaluate the value of f(2).

[tex]f(2) = 9(2)^2-7\\f(2)=9(4)-7\\f(2)=36-7\\f(2)=29[/tex]

Now that we have this value we can use the slope formula (y2 - y1) / (x2 - x1) where y2 is f(a), y1 is 29, x2 is a, and x1 is 2

[tex]\frac{f(a)-29}{a-2}\\\\\frac{(9a^2-7)-29}{a-2}\\\frac{9a^2-36}{a-2}[/tex]

Now from here we can use long division to simplify it further

[tex]9a^2/a = 9a\\9a(a-2)=9a^2-18a\\(9a^2-36)-(9a^2-18a)\\18a-36\\\\18a/a=18\\18(a-2)=18a-36\\(18a-36)-(18a-36)\\0\\\\9a+18[/tex]

Answer:

m∠GLI = 2m∠GLH

Step-by-step explanation:

Angle GLI (red) is made of angles GLH (purple) and HLI (green).

m∠GLI = m∠GLH + m∠HLI

First option: ∠GLH ≅ ∠ILM (Angle GLH is congruent to angle ILM.)

This doesn't tell us anything about the relationship between angles GLI, GLH and HLI. So it can't be used.

Second option: m∠KLM = 5m∠ILM (Measure of angle KLM is 5 times the measure of angle ILM.)

This also cannot be used, because it doesn't include angles GLI, GLH or HLI.

Third option: m∠GLI = 2m∠GLH (Measure of angle GLI is two times the measure of angle GLH.)

Now this option is more interesting. It includes two angles of three that we are interested in.

If angle GLI is two times angle GLH, then that means that angle GLH is congruent to angle HLI!

Let's prove this with equations.

1) m∠GLI = m∠GLH + m∠HLI (from picture)

2) m∠GLI = 2m∠GLH (from third option)

Substitute m∠GLI in first equation with m∠GLI in second.

m∠GLI = m∠GLH + m∠HLI

2m∠GLH = m∠GLH + m∠HLI

m∠GLH = m∠HLI

So this proves that the angles GLH and HLI have the same measure, therefore ray LH is bisector of GLI.

Fourth option: m∠GLI = 1/2m∠GLH + 1/2m∠HLI​

There are all angles we are interested in, but there is a mistake. We can see in the picture that angle GLI is made of angle GLH and HLI and not of half of them. This just is not true. The correct equation would be m∠GLI = m∠GLH + m∠HLI.

Answer:

Find another point on the perpendicular line.

Step-by-step explanation:

Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.

Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".

Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".

This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places.  Those two places will be equidistant from "Q", and are simultaneously on line "m".  Thus, these two points, "A" & "B" are symmetric about "p".

Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m".  One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary.  We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".

To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q".  This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".

The value(s) for which the rational expression −5u+12−2u+2 is undefined is u = 1.

The expression or an equation which can be undefined at some point is a celled the radial expression.

f(u) = -5u +12 / -2u +2

For the function to be undefined, denominator must be equal to zero.

-2u +2 =0

-2u =-2

u = 1

Thus, the value for which the given expression is undefined is 1.

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Using the mean concept, the expression that gives the average of the low and high temperatures is:

(-3 + 8)/2.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the two observations are -3 and 8, hence their average is given by:

(-3 + 8)/2.

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Answer:

Answer=54

Step-by-step explanation:

Given:- b=3

2b³

Solution:-

2 x b³

2 x 3 x 3 x 3

6 x 9

54 (answer)

Hope this helps you

Have a good day.

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

y = -5

Answer:

[tex]\mathsf {y = -5}[/tex]

Step-by-step explanation:

[tex]\textsf {Given :}\\\textsf {-3x + 9y = -57}[/tex]

[tex]\textsf {Divide throughout by 3 :}[/tex]

[tex]\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}[/tex]

[tex]\mathsf {-x + 3y = -19}[/tex]

[tex]\textsf {Substitute x = 4 :}[/tex]

[tex]\mathsf {-(4) + 3y = -19}[/tex]

[tex]\mathsf {3y = -15}[/tex]

[tex]\textsf {Divide by 3 on both sides :}[/tex]

[tex]\mathsf {\frac{3y}{3} = \frac{-15}{3} }[/tex]

[tex]\mathsf {y = -5}[/tex]

Answer:

(0, a)

Step-by-step explanation:

We can start by imagining this rectangle as a square.

(This is written as if it is a square:)

The distance that a square reaches on the x-axis (assuming it has its lower left point at the origin, like this one does) is the same distance that it reaches on the y-axis.

meaning that we will have (length, 0) along the x-axis and (0, length) along the y-axis

so, if we are to treat this as a square, the point (2a, 0) means that our opposite vertex is (0, 2a)

However, because this length is only half of the length that it would be (if it were a square), we must divide our length by 2

2a ÷ 2 = a

So, the coordinates of the top-left vertex of this rectangle:

(0, a)

Answer:

coordinates of top left vertex: (0, a)

Answer:

19.51 units = x

Step-by-step explanation:

Here is one way :

Height = 18 cos 47 = 12.276

then     cos 51 = 12.276 /  x

                 x = 12.276 / cos 51 = 19.51

The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

2ln(x) = In(3x) - [In(9) - 2ln(3)]

In(x²) = In(3x) - [In(9) - In(9)]

ln(x²) = ln(3x) - 0

ln(x²) = ln(3x/0)   (incorrect step)

ln(x²) = ln(3x)

x² = 3x  (correct step)

x² - 3x =0

x(x - 3) = 0

x = 0, 3

Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

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Answer:

Step-by-step explanation:

Solution

17 = a + b

b =  a + 1                    Substitute b into the top equation

17 = a + a+1                Combine

17 = 2a + 1                  Subtract 1 from both sides

17-1 = 2a+1-1               Combine

16 = 2a                       Divide both sides by 2

16/2 = 2a/2

a = 8

b = 8 + 1 = 9

Answer

a = 8

b = 9

The value of a given that A = 63°, C = 49°, and c = 3 is 4 units

The given parameters are:

A = 63°, C = 49°, and c = 3

Using the law of sines, we have:

a/sin(A) = c/sin(C)

So, we have:

a/sin(63) = 3/sin(49)

Multiply both sides by sin(63)

a = sin(63) * 3/sin(49)

Evaluate the product

a = 4

Hence, the value of a is 4 units

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Answer:

27

Step-by-step explanation:

By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

In this question we have a system formed by a linear equation and a non-linear equation, both with no trascendent elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

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Answer:

(2+6)/2= 4 (x-coordinate of midpoint)

(7+3)/2= 5(y=coordinate of midpoint)

Answer:

Hope it will help you:)

Step-by-step explanation:

Solution:

here,

A(2,7)-([tex]x_{1,}y_{1[/tex])

B(6,3)-([tex]x_{2},y_{2[/tex])

Now using midpoint formula,

midpoint of ab=(x1 + x2)/2, (y1 + y2)/2

                        =(2+6)/2,(7+3)/2

                         =(8/2,10/2)

                          =(4,5)

The midpoint of AB is(4,5).

The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.

The equation to be considered as given in the task content is; -2(5x+8)=14+6x.

It follows from the task content that the steps for solving the equation are as follows;

-2(5x+8) = 14+6x

-10x - 16 = 14 + 6x

-10x - 6x = 14 + 16

-16x = 30

x = 30/-16

x = -15/8

Hence, the value of x upon solving the equation is; -15/8.

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