Point V is somewhere on the line segment . If UV = 8, then find the length of .

The solution is, the required cost of the used game X= 19.

An equation which can be expressed as a mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

So he bought the $120 game with $82

and 2 equally priced game.

This can be changed to an equation: 120= 82+2X.

The X represents the cost of the used game.

120= 82+2X

-82 -82

——————-

38= 2X

38= 2X

Divide by 2 on both sides

X= 19

To learn more on equation click:

brainly.com/question/24169758

#SPJ9

To find the x-intercept of the equation 3x + 5y = 9, we set y = 0 and solve for x.When y = 0, the equation becomes 3x + 5(0) = 9, which simplifies to 3x = 9.Solving for x, we get x = 3.The x-intercept of the equation 3x + 5y = 9 is (3, 0).

What is x-intercept ?

An x-intercept is a point where a graph or a line crosses the x-axis. It is the value of the independent variable (x) when the dependent variable (y) is equal to zero. In other words, it is the point at which a function or equation intersects the x-axis, and its coordinates are of the form (x, 0). To find the x-intercept of a graph or equation, you can set y=0 and solve for x.

To find the x-intercept of the equation 3x + 5y = 9, we need to set y = 0 and solve for x.

So, we have:

3x + 5(0) = 9

3x = 9

x = 3

Therefore, the x-intercept of the equation 3x + 5y = 9 is (3,0), which means the point where the line intersects the x-axis is (3,0).

To verify, we can graph the equation and see that the point (3,0) is indeed on the x-axis.

Learn more about x-intercept click here:

https://brainly.com/question/17932786

#SPJ1

Answer:domain is (2, ∞), range is (-∞,∞)

Step-by-step explanation:

domain is (2, ∞) as it aproaches 2 but never reaches and range is (-∞,∞)

Answer: 87.96m

Step-by-step explanation:

Circumference of a circle = 2[tex]\pi[/tex][tex]r^{2}[/tex] --> 2[tex]\pi[/tex]14² = 87.96m

The requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

A system of simultaneous equations, also known as a system of equations, is a set of two or more equations that must be solved at the same time. In a system of two equations, for example, the solution is the set of values of the variables that satisfy both equations simultaneously.

Here,
Given equation are
_x + y = −5 - -- - - -(1)

y = −x + _ - - - - - (2)

Now,
Let the coefficient of x in equation 1 is m and the intercept of equation 2 be y,

In equation 1,
Put the given points (5, 5)
m(5) + 5 = - 5
5m = -10
m = -2

Now,
Put the same point equation 2 with C
5 = -5 + C
C = 10

Thus, the requried complete system of equation is given as -2x + y = -5 and y = -x + 10.

Learn more about simultaneous equations here:

https://brainly.com/question/29282797
#SPJ9

Answer:

Base: 8. Height: 3.

Step-by-step explanation:

Let the height be x. Then the base would be 2x+2. The formula for the area of a triangle is 1/2*base*height. We know the area, and we know the base and height in terms of x. Now you just solve for x. 1/2*x*(2x+2) = 12. x(2x+2) = 24. You could plug in factors of 24, but I used the quadratic formula to solve this equation. 2x^2 +2x -24 = 0. Plugging in these values into the quadratic formula, we get that x = 3. This means that the height is 3. Since the base is 2x+2 and x is 3, then the base is 8.

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hfill \begin{array}{llll} \textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{6x^{-1}y^{-1}}{\sqrt[4]{xy^4}}\implies \cfrac{6}{x^1 y^1 \left( xy^4 \right)^{\frac{1}{4}}}\implies \cfrac{6}{x^1 y^1 \left( x^{\frac{1}{4}}y^1 \right)}\implies \cfrac{6}{x^1x^{\frac{1}{4}} y^1 y^1} \\\\\\ \cfrac{6}{x^{1+\frac{1}{4}} y^{1+1}}\implies \cfrac{6}{x^{\frac{5}{4}} y^2}\implies {\Large \begin{array}{llll} \stackrel{a\quad b \quad ~~ c}{6x^{-\frac{5}{4}}y^{-2}} \end{array}}[/tex]

Given that there are 26 red cards in the deck of 52 cards, the probability of obtaining a red card on any given draw is 26/52 = 1/2.

The probability of the complimentary event—the probability that no red cards are drawn in the first three draws—can be used to determine the likelihood that a red card will be pulled at least once by the third draw.

Particular that there are 26 non-red (black) cards in the 52-card deck, there is a 50% chance that no red cards will be drawn on any given draw.

As a result, the likelihood that none of the three draws will result in a red card is:

(1/2) x (1/2) x (1/2) = 1/8

The likelihood of drawing a red card at least once by the third draw is the counterpart of this probability.

1 - 1/8 = 7/8

Therefore, by the third draw, there is a 7/8 chance of drawing a red card at least once, or 0.88 rounded to two decimal places.

To know more about Probability visit:

brainly.com/question/29298939

#SPJ1

The solution for x is not possible because the information is not enough, the correct option is D.

Its a parallelogram but all sides of same length.

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

We are given that;

m∠AEB of rhombus ABCD is 7x+6

Now,

To find the value of x we need atleast one more information

Since the measure of diagonals are not given and the length of sides are also not provided.

So, that the calculation could not be made.

Therefore, the information of rhombus is insufficient.

Learn more about a rhombus here:

brainly.com/question/20627264

#SPJ9

The area of rhombus ABCD is 98.28 cm². Therefore, option C is the correct answer.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, in rhombus ABCD, AD=10 cm and OC=7.8 cm.

Here, BC²=OC²+OB²

10²=7.8²+OB²

OB²=100-60.84

OB²=39.16

OB=√39.16

OB=6.3 cm

AC=2×7.8

AC=15.6 cm

BD=2×6.3 =12.6 cm

We know that, area of rhombus is 1/2 ×(Product of diagonals)

Now, area= 1/2 ×15.6×12.6

= 98.28 cm²

Therefore, option C is the correct answer.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ9

The inverse of the radical equation x = [√(a + 2) + √(a - 2)] / [√(a + 2) - √(a - 2)] is the equation a = x + 1 / x. (Correct choice: A)

In this problem we find the case of a radical equation in explicit form, that is, a variable x only in terms of a variable a, and we need to obtain the inverse of the function, that is, an expression in terms of a variable x. This problem can be solved by algebra properties.

First, write the original equation:

x = [√(a + 2) + √(a - 2)] / [√(a + 2) - √(a - 2)]

Second, rationalize the expression:

x = [[√(a + 2) + √(a - 2)] · [√(a + 2) + √(a - 2)]] / [[√(a + 2) - √(a - 2)] · [√(a + 2) + √(a - 2)]]

x = [√(a + 2) + √(a - 2)]² / [(a + 2) - (a - 2)]

x = [a + 2 - 2 ·√(a² - 4) + a - 2] / 4

x = [a - √(a² - 4)] / 2

2 · x = a - √(a² - 4)

Third, eliminate the square root operator by algebra properties:

√(a² - 4) = a - 2 · x

a² - 4 = (a - 2 · x)²

Fourth, find the solution to the expression:

a² - 4 = a² - 4 · x · a + 4 · x²

- 4 = - 4 · x · a + 4 · x²

1 = x · a - x²

1 + x² = x · a

a = (1 + x²) / x

a = 1 / x + x

a = x + 1 / x

To learn more on radical equations: https://brainly.com/question/11631690

#SPJ1

Answer:

17.6 feet.

Step-by-step explanation:

The length of the I-beam can be calculated as follows:

Weight = Length * Weight per Foot

Rearranging this equation:

Length = Weight / Weight per Foot

Substituting the given values:

Length = 444.5 lb / 25.4 lb/ft = 17.6 ft

So, the length of the I-beam is 17.6 feet.

Answer: the first box is does not the 2st box does  i hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2, 3) (2, -1)

(-1 - 3)/(2 + 2)= -4/4 = -1

m = -1

does

does not

y - 3 = -1(x + 2)

y - 3 = -x - 2

y = -x + 1

Option 1

The domain and the range of a function/graph/relation are defined as follows:

The problem is incomplete, hence the concepts of domain and range are presented, and then they are used to obtain the domain and the range.

More can be learned about domain and range at https://brainly.com/question/30348593

#SPJ1

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

Answer:

77.4 (nearest tenth)

Step-by-step explanation:

76 is 100% of the original number.

To increase a number by 1.8% it will be 100% + 1.8% = 101.8% of the original number.

[tex]\begin{aligned}\implies \sf 101.8\%\; of\; 76&=\sf \dfrac{101.8}{100} \times 76\\\\&=\sf \dfrac{101.8 \times 76}{100}\\\\&=\sf \dfrac{7736.8}{100}\\\\&=\sf 77.368\\\\&=\sf 77.4\; (nearest\;tenth)\end{aligned}[/tex]

Therefore, the result when the number 76 is increased by 1.8% is 77.4 to the nearest tenth.

Answer:

Step-by-step explanation:

38.06

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

The function g(x) = 8(2)^x is also a shift left by 3 units of f(x) = 2^x, as 8 = 2³, hence 8(2)^x = 2^(x + 3).

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The functions for this problem are given as follows:

8 is the third power of 2, hence:

8 = 2³.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

8(2)^x = 2³ x 2^x = 2^(3 + x) = 2^(x + 3).

As x -> x + 3, a translation left 3 units happened.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

The linear inequality to represent given situation will be 127+18x≥390 where x=no. of weeks and he will take 14.6 weeks to reach his goal.

What is a linear inequality, exactly?

In mathematics, an inequality is a mathematical statement that does not have equal sides. In mathematics, an inequality occurs when a connection results in a non-equal comparison of two expressions or two numbers. In the statement, any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), can be used to replace the equal sign "=". Inequalities are grouped into three forms in mathematics: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols " <and >" represent severe disparities, whereas " ≤ and ≥ " represent slack inequalities. A linear inequality resembles a linear equation, but the formula is different.

Now,

Total miles to run=390 mile

He already ran=127 mile

Distance left to run=390-127

=263 mile

Rate of running=18 miles/ week

weeks taken to complete 263 miles=263/18

=14.6 weeks

and given situation can be represented by inequality 127+18x≥390 where x=no. of weeks.

Hence,

          The linear inequality to represent given situation will be 127+18x≥390 and he will take 14.6 weeks to reach his goal.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

[tex]Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6[/tex]

Subject to:

[tex]x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000[/tex]

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

For more question on simplex algorithm click on

https://brainly.com/question/29554333

#SPJ4

Answer: 35

Step-by-step explanation: 52-13-4

The expression that represents the area of each section is 14z-9

The expression to denote the area of each section would be: 14z -9

Given that,

The expression for the area of plot  area 84z -54

The number of equal sections in which it is divided 6

To find,

The expression for each section = ?

The area of each section = (total area of the garden(/number of equal sections

= (84x-54)/6

= 6(14z-9)/6

=14z - 9

Thus,  is the expression that would represent every section's area.

The equation that describes this situation is, 3 + 15n = 153

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

Given that,

Three more than product of 15,

And a number n is 153.

More than = + (addition)

Product = x (multiplication)

Product of 15 and n = 15 x n = 15n

Therefore, the equation is 3 + 15n = 153.

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ1

Answer:

Chebyshev's inequality states that for any given dataset, at least 1 - 1/k^2 of the data will lie within k standard deviations from the mean.

When k = 3, at least 1 - 1/3^2 = 1 - 1/9 = 8/9 of the data will lie within 3 standard deviations from the mean.

So, for the temperature data, we can determine that at least 8/9 of the data will lie between 28.8 - 3 × 7.4 = 7°F and 28.8 + 3 × 7.4 = 50.6°F.

In other words, we can say that at least 8/9 of the temperatures recorded during the two months were between 7°F and 50.6°F.

Answer:  -151

Step-by-step explanation:  

First Plug everything in

-7(5)^(2)+2(5)+2(7)

Then use order of operations and first deal with the exponent

-7(25)+2(5)+2(7)

then multiply left to right

-175+10+14

combine

so the answer is -151

Answer:

need help looking for the anwser here it's the 2.5