graph the inequality y > |x - 4| + 3

A graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.

A reciprocal function can be defined as a type of function which comprises an algebraic expression in its denominator and a constant on its numerator such as: f(x) = 2/x.

In Mathematics, a reciprocal function is used when describing relationships that are inversely proportional to one other such as:

As a general rule in Geometry, we can infer and logically deduce that a graph which represents a reciprocal relationship to the given graph would slope downward, which is in an opposite direction.

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Multiplication is the process of multiplying. The length of the 10 fence panels is 18 meters.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given the length of three fence panels is 5.4 meters.

The lenght of each length panel = 5.4m/3 = 1.8 meter

The length of 10 fence panel = 1.8 meter×10 = 18 meter

Hence, the length of the 10 fence panels is 18 meters.

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There is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

To solve for the value of x in the equation 0.5(4x - 8) = 2x + 5, follow these steps:

Step 1: Distribute the 0.5 on the left side of the equation:

0.5 * 4x - 0.5 * 8 = 2x + 5

Simplify:

2x - 4 = 2x + 5

Step 2: To isolate the variable term "x" on one side of the equation, move the constant terms to the other side. In this case, subtract 2x from both sides:

2x - 2x - 4 = 2x - 2x + 5

Simplify:

-4 = 5

Step 3: The equation simplifies to -4 = 5, which is not true. This means that the equation has no solution, and there is no value of x that satisfies the equation.

Therefore, there is no value of x that makes the equation 0.5(4x - 8) = 2x + 5 true. The solution is "no solution."

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Complete question is:

Solve for the value of x: 0.5(4x - 8) = 2x + 5

This distance can be expressed as 3.84× [tex]10^{8}[/tex] m.

What is distance with example?

Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

=384000×1000m  [∵1km=1000m]

=384× [tex]10^{6}[/tex] m

=3.84× [tex]10^{8}[/tex] m

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The correct question is -

The distance between the Earth and the moon is approximately 384000 km.  this distance can be expressed as ____m.

The intermediate step of x² - 4x = 45 is (x- 2)² = 49

The equation is given as:

x² - 4x = 45

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add 4 to both sides of x² - 4x = 45

x² - 4x + 4= 45 + 4

This gives

x² - 4x + 4= 49

Express as perfect square

(x- 2)² = 49

Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49

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#1

I solved it another question of yours

#2

f(x)=3x-11

f(4)

#3

We can see the point (2,5)

So

The function's range will be between -9,7 and 40.

The range represents all potential y values, whereas the domain represents all conceivable x values.

The provided equation is;

g(x) = x²-9

By entering the values one at a time into the previous equation, we can determine the range of the specified domain.

g(x) = x²-9

a)For x = 0

g(x) = 0²-9

g(x) =-9

b)For x =4

g(x) = 4²-9

g(x) =16-9

g(x) = 7

c)For x =7

g(x) = 7²-9

g(x) =49-9

g(x) = 40

Hence, the range of the function will be -9,7 and 40.

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The volume of the box is 216 ft cube.

He filled a box with 4 layers of cubes that measured one foot on each side

The bottom of the box fit 6 cubes,

1 cube length = 1 ft.

Therefore,

volume of the box = 6³

Therefore,

volume of the box = 216 ft³

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Answer:

$0.70 per letter, $1.50 flat fee

Step-by-step explanation:

Let x be the flat fee.

Let y be the cost of sending 1 letter.

Lets create 2 equations from those 2 instances.

First Instance: x + 35y = 26 - Equation 1

Second Instance: x + 18y = 14.1 - Equation 2

To find x and y , we can use elimination method in solving simultaneous equations.

Equation 1 - Equation 2

x - x + 35y - 18y = 26 - 14.1

17y = 11.9

y = [tex]\frac{11.9}{17} \\[/tex]

= $0.70

Now we substitute y into equation 1.

x + 35(0.70) = 26

x + 24.50 = 26

x = 26 - 24.50

= $1.50

From the above we know the post charges $0.70 per letter sent and charges $1.50 flat fee.

The required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).

Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730.

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

Let x for the number of t-shirts and y for the number of hats.

Now,
equation for to raise at least $2730.
21x + 14y > 2730
3x + 2y > 390

Two possibility can be caroled out from the graph i,e.  (100,45) and (80,75).

Thus, the required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).  

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The correct answer is  f, g, and h only.

What is variable ?

Given,

          expression f + 2g + h/4 - 7

So, in this expression g, f and h are variables.

We can see that in our given expression g, f and h are unknown, therefore, these are variables for our given expression.

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The correct question is -

What are the variables in this expression?

f + 2g + h/4 - 7

A) f and g only

B) g and h only

C) f, g, and -7 only

D) f, g, and h only

Answer:

4Hz

Step-by-step explanation:

Standard form of a sine or cosine function,

y = acos(b(x+c))

where a is the amplitude, b is the value to find the period. and c is the phase shift.

Period = \frac{2\pi}{b}

From the equation given in the question,

[tex]y = 3cos(8\pi \: t + \frac{\pi}{2} ) \\ y = 3cos(8\pi(t + \frac{1}{16} )) \: \: (factorising \: 8\pi \: out)[/tex]

We can see:

Amplitude = 3,

Period = \frac{2\pi}{8\pi} = 1 / 4

Phase Shift = 1 / 16

Now we want to find the frequency.

Frequency = 1 / Period

= 1 / (1/4)

= 4Hz

Answer:

[tex]\displaystyle 4[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Acos(Bx - C) + D[/tex]

When working with a trigonometric equation like this, always remember the information below:

[tex]\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:

[tex]\displaystyle \boxed{\frac{1}{4}} = \frac{2}{8\pi}\pi[/tex]

You will then plug this into the frequency formula, [tex]\displaystyle T^{-1} = F.[/tex] Look below:

[tex]\displaystyle \frac{1}{4}^{-1} = F \\ \\ \boxed{4 = F}[/tex]

Therefore, the frequency of motion is four hertz.

I am delighted to assist you at any time.

Lowest score earned to be qualified for an interview is 92.82

X : Marks scored in interview

X ~ N(80,100)

Here we need to find x such that P(X > x) = 0.10

using standard normal table,

we get P( z > 1.282) = 0.10

It's always easy to use Standard normal distribution to solve questions of normal distribution because standard normal is special case of normal distribution with mean 0 and standard deviation 1.

To convert x (which follows Normal distribution) to standard normal use: [tex]\frac{x-\mu}{\sigma} \sim N(0,1)[/tex]

so, [tex]z = 1.282 = \frac{x-\mu}{\sigma}[/tex]

hence,

[tex]x = 1.282 * \sigma + \mu \\x = 1.282 * 10+_80 \\x = 92.82 \\[/tex]

Hence Lowest score earned to be qualified for an interview is 92.82

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Answer:

D

Step-by-step explanation:

quadratic formula

Answer:

I hope this is helpful. I had done my calculations and got the answer. The last part in orange is the answer. Your going to have to simplify.

The largest possible last digit in the string of 2002 digits and number divisible by 19 or 31 is 9.

Given the first digit of a string of 2002 digits is 1 and the two digit number formed by consecutive digits within the string is divisible by 19 or 31.

We have to tell the last largest digit of such number.

Two digit numbers divisible by 19=19,38,57,76,95.

Two digit numbers divisible by 31=31,62,93,124

Number started with 1 =19

Last digit is 9

We have said that the number should be divisible by 19 or 31 not from both and started with 1.

Hence the largest possible last digit and number divisible by 19 or 31 in this string is 9.

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For the given figure , Option A , B ,C , F will be true.

A triangle is a polygon with three sides , angles and vertices.

It is given that

Triangle X Y Z is reflected to from triangle L M N.

The diagram is attached with the answer.

As the Triangle is reflected , The shape of the image doesn't change and also

From the diagram it can be concluded that

ΔXYZ ≅ ΔLMN

and as the triangles are Congruent , By CPCTC

∠Y ≅ ∠M

∠X ≅ ∠L

XZ ≅ LN

Therefore , Option A , B ,C , F are the options that are true for the given figure.

The missing figure is attached with the answer.

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Answer:

A B C F

Step-by-step explanation:

ΔXYZ ≅ ΔLMN

∠Y ≅ ∠M

∠X ≅ ∠L

XZ ≅ LN

The order of steps to solve the equation are;

x^2 − 15 = 2x

(x − 5)(x + 3) = 0

x − 5 = 0 or x + 3 = 0

Potential solutions are −3 and 5

Logarithm expressions are inverse of an exponential function. Given the logarithm expression shown below:

log(x^2 − 15) = log(2x)

Cancel the log on both sides

x^2-15 = 2x

Equate to zero

x^2-2x-15 = 0

Factorize

x^2 -5x + 3x -15 = 0

x(x-5)+3(x-5) = 0

(x-5)(x+3) = 0

Find the solution

x - 5 = 0 or x + 3 = 0

Potential solution are 5 and -3

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Answer:

C

Step-by-step explanation:

The exact point should be (0, 4) if you're looking for the Y intercept. I'm assuming that each square represents one unit. Hope I could help.

Answer:

c)4

Step-by-step explanation:

Hope it helps!!!

y= 4

x= 0

Answer:

1st is y = -7x-58, 2nd is -89.

Step-by-step explanation:

First, the slope intercept for is y = mx+b. M is the slope, b is the y intercept. You know the slope is -7, so then just plug in the point for x, y and you'll get b = -58 once you cancel everything out.

So y = -7x-58.

For 27. just plug in the values. -3^3 is -27 * 3 which is -81 and then -12 and add 4 and you get -89.

Answer:

13 × 14 = 182 yd^2

............................

To calculate the area of a circle, we use the formula : [tex]\pi r^{2}[/tex], where r is radius.

We replace the numebrs : 144[tex]\pi[/tex] = 452,389342.... = 452 (rounded)

So, the area of this circle is 452 (and whatever units)

Answer:

Area of circle = 452 units²

Step-by-step explanation:

We can use the following formula to calculate the area of a circle:

Area = π r²

where r = radius of circle (12 units)

Substituting into the formula:
Area = π × (12)²

        = π × 144

        = 452.39

        = 452 units²       (rounded to the nearest whole number)

The true statements about the function are:

The complete question is in the image

From the table, the function values do not exceed 0 at the interval 0 to 2.

This means that f(x) ≤ 0 over the interval [0, 2].

Also from the table, the function values exceeds 0 at the intervals greater than -2 but less than 0

This means that f(x)>0 over the interval (-2,0)

Also from the table, the function values are at least 0 at the intervals greater than 2

This means that f(x) ≥ 0 over the interval [2,∞)

Hence, the true statements are (b), (d) and (e)

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Hello,

Answer:

Slope = -2

Step-by-step explanation:

We have A(4 ; 3) and B(2 ; 7)

y = ax + b where a is the slope

[tex]a = \frac{yb - ya}{xb - xa } = \frac{7 - 3}{2 - 4} =\frac{4}{-2} =-2[/tex]

We can solve this graphically, we will see that f(x) = g(x) when x = -2, so the solution is x = -2.

We want to solve the system:

f(x) = g(x)

Where:

[tex]f(x) = 2x + 24\\\\g(x) = 5*(0.5)^x[/tex]

Replacing the functions, we get:

[tex]2x + 24 = 5*(0.5)^x[/tex]

Notice that on the left side x is a coefficient, while on the right side, it is an exponent, so this is really hard to solve with algebra.

But what we can do, is graph both functions, and see for which value of x the graphs do intersect.

Below you can see the graphs, the green one is f(x), the blue one is g(x).

There you can see that the graphs intersect at x = -2

This means that f(x) = g(x) only for x = -2.

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The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.  A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9    ......(1)

3x+2y=4  ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

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Answer:

C. 6.9

Step-by-step explanation:

Pretend this is a 2-d diagram and use the Pythagorean theorem.

Pythagorean theorem: a^2 + b^2 = c^2

a = 6 mm

b = 7/2 = 3.5 mm

c = x

6^2 + 3.5^2 = x^2

36 + 12.25 = x^2

48.25 = x^2

[tex]\sqrt{48.25} = \sqrt{x^2}[/tex]

x = 6.9

These are the expected numbers of spins that is P(N=n)=n−1/n!

According to the statement

Let N is the number of spins AND

Let S is the sums of spins until the sum is greater than one.

we know that the For N=1, P(S) = 0.

The value of expected random variables are

E(X)=μ=∑xP(x).

Put all the integers values in it and integrate.

According to statement condition the expected number of variables become

P(N=n)=P(Sn−1<1≤Sn)

P(N=n)= P(Sn−1 < 1) - P(Sn <1)

P(N=n)=1/(n−1)!−1/n!

P(N=n)=n−1/n!

So, these are the expected numbers of spins that is P(N=n)=n−1/n!

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The preference is that ✓5 should be left in radical form as an irrational number.

It should be noted that a radical form is illustrated when n is a positive integer that is greater than 1.

Here, a rational number is a number that can be represented in the form of p/q where p and q are integers. In this case, ✓5 will nvwe give a perfect number in decimal form. Hence, it's better to leave it radical form.

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The percentage of unemployed women from the total percentage of unemployed is 60%

Percentage of the unemployed women from the total unemployed = 15% / 25% × 100

= 0.60 × 100

= 60%

Therefore, the percentage of unemployed women from the total percentage of unemployed is 60%

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Answer:

  C.  The point where the perpendicular bisectors of the three sides of the triangle intersect.

Step-by-step explanation:

A number of centers of a triangle are defined. The circumcenter is the center of the circumscribing circle. The incenter is the center of an inscribed circle. The centroid is the center of balance of a triangle of uniform mass density.

The centers defined by descriptions A through D are ...

  A. centroid -- coincident point of medians

  B. incenter -- coincident point of angle bisectors

  C. circumcenter -- coincident point of side perpendicular bisectors

  D. orthocenter -- coincident point of altitudes