Evaluate the expression below when x = 8 and y = 6.

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.

Here,

Given : -3x ≤ 9

=> x ≤ 9/-3

=>x ≤  -3

Thus , x=-3 or x<-3

Therefore , the solution of the given problem of inequality comes out to be  x=-3 or x<-3.

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The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

The variable mappings that satisfy all component equations are the solutions of systems of equations

, or the points where the components of these equations overlap.

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Answer:

f(x) = 0.5x

Step-by-step explanation:

note that each of the values in the range is half its corresponding value in the domain

- 4 ÷ 2 = - 2

- 2 ÷ 2 = - 1

0 ÷ 2 = 0

2 ÷ 2 = 1

4 ÷ 2 = 2

then

f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x

The time that it will take to plow the field together is 2 2/9 hours.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Based on the information, this will be illustrated as:

1/4 + 1/5 = 1/t

where t = rate together

5/20 + 4/20 = 1/t

9 / 20 = 1 / t

9t = 20

Divide

t = 20 / 9

t = 2 2/9 hours.

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Answer:

She has been there for 8 months

Step-by-step explanation:

Add 40 and keep adding $25

until you get to $240 and then count how many times you added 25 and you should get the answer

On solving the provided question we can say that so SAS, the are congruent triangles

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

we have to triangles

with angles as 30,60,90 and 60,60,90 respectively

and 2 sides of 7 cm each.

so SAS, the are congruent triangles

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Answer:

Translation

Step-by-step explanation:

You're moving down 5 units, and left 1 unit, so therefore it's a translation 5 units down and 1 unit to the left.

Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

Answer:

none of these

Step-by-step explanation:

An equation in the form of direct variation is in the form

y = kx

Checking each equation and substituting the point

-12 = -1/2 (9)

-12 = -4.5  not true

-12 = -1 1/2 (9) = -3/2 *9 = -27/2 - 13.5

-12 = -13/5  not true

-12 = 1/3 (9)

-12 = 3  not true

-12 = -3(9)

-12 = -27 not true

The value if side x is 42

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

Given;

Scale factor= 12

Now, to find the value of x;

We will divide 12 by the scale factor

=12/(2/7)

=(12x7)/2

=42

Therefore, with scale factor 2/7 the side x of figure A will be 42

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X intercept: 10/5 = 2

Y intercept: 10/-2 = -5

The x intercept is the point where the line crosses the x-axis and the y intercept is the point where the line crosses the y-axis.

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

In this question,

1. To find x intercept, set y = 0

  5x - 2(0) = 10

  5x = 10

  x = 2

2. To find y intercept, set x = 0

  5(0) - 2y = 10

  -2y = 10

 y = -5

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By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression. It is possible to contrast phrases and expressions. the practice of expressing one's opinions or demonstrating one's feelings by words or deeds: As a sign of his affection, he penned her a poem.

given

y^3/4 / y^1/2

= y^3/4 y^ -1/2

y ^( 3/4 - 1/2)

y^(-1/4)

By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.

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The width of the fourth shim used by a carpenter is, 0.525 centimeter.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The carpenter uses four shims to fill gap that is 1.5 centimeters wide.

And, The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter.

Now, Let the width of the fourth shim used by a carpenter = x

So, We can formulate;

⇒ x + 0.75 + 0.125 + 0.1 = 1.5

⇒ x + 0.975 = 1.5

⇒ x = 1.5 - 0.975

⇒ x = 0.525 centimeter

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Answer:

Step-by-step explanation:

The equation of the line can be found using the two-point form:

y = mx + b

where m is the slope between the two points and b is the y-intercept.

For the given points A and B:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) is point A and (x2, y2) is point B

m = (-1 - 7) / (-3 - 1) = -8/ -4 = 2

Next, find b using one of the points and the slope:

b = y - mx

b = 7 - 2 * 1 = 5

So, the equation of the line is:

y = 2x + 5

The cost per mile for both trips are $4.5 and $3.65

An uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip

The cost per mile for both trips can be calculated as follows

The first step is to calculate the cost of mile for the First trip

13.15= 3

x= 1

cross multiply both sides

3x= 13.15

x= 13.15/3

x= 4.5

The next step is to calculate the cost of mile for the Second trip

18.25= 5

y= 1

cross multiply both sides

5y= 18.25

y= 18.25/5

y= 3.65

Hence the cost per mile for both trips are $4.5 and $3.65

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Answer:

33

Step-by-step explanation:

11+44/2=11+22=33

You must first formulate a polynomial equation in standard form before you can solve it. Factor it, then set the values of each variable factor to zero after it reaches zero.

The original equations' answers are the answers to the derived equations. Factoring cannot be used to resolve all polynomial equations.

The sum of terms with the pattern kxn, where k is any number and n is a positive integer, is what we call a polynomial.

It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.

Solving Equations : f(x)=3/7+7x^2

Domain of 3/7 + 7x²    

Solution : -∝ < x <∝

Interval Notation :  ( - ∝,∝)

Rage of 3 / 7+ 7x²

Solution :  0 < f(x) ≤ 3/7

Interval Notation :  ( 0 , 3/7)

Axis interception Points of (3 / 7+7x²;

Y Intercepts : (0,3/7)

Asymptotes of 3 / 7 + 7x² ;

Horizontal : y = 0

Extremes Points of 3 / 7 - 7x²;

Maximum(0 , 3 / 7).

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Answer:

[tex]-2\sqrt{5} < x < 2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

52 in toatal had a drink

10 had a drink and a sandwich

5 had drink and soup

9 had all

so in total out of the 52 drinks, 24 had a drink and something

52 - 24 = 28

Answer:

20

Step-by-step explanation:

A person has 2 feet (1 is a foot)

Meg has 10 feet of ribbon

therefore 10 × 2 = 20

in 10 feet there are 20 "foot"

The light from the sun takes 8 minutes 20 seconds to reach the earth.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.

Now we know speed = Distance/ time

Thus we have Time taken = 93000000/1.86×10⁵

                                           = 8 minutes 20 second (approx)

Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.

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The graph of the solutions of the absolute value equation can be seen on the image at the end.

Here we have the absolute value equation:

|2x - 1| = 3

We can "break" that absolute value equation into two simpler ones, we will get:

(2x - 1) = 3

(2x - 1) = -3

Now we can solve these two, we will get for the first one.

2x - 1 = 3

2x = 3 + 1

x = 4/2

x = 2

The other gives.

2x - 1 = -3

2x = -3 + 1

2x = -2

x = -2/2 = -1

The solutions are 2 and -1, then the graph is the one below.

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Answer:

let x to be john

y to be Rita and z to be Mathews

Step-by-step explanation:

x+y+z=2125....,..........i

x=3y............................ii

y+25=z......................iii

from Qnii substitute in qn i

3y+y+z=2125

4y+z=2125

-y+z=25 by eliminate z

5y=2100 by 5 both sides

y=420

z=445

x=1260

Answer: ok

Step-by-step explanation: :D

The method for the rectangle is written in italic using Java as shown below

Below is a method in Java that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14.

import java.awt.Rectangle;

public void setRandomDimensions(Rectangle rect) {

   int length = (int) (Math.random() * 6) * 2 + 10; //generates a random even integer between 10 and 20

   int width = (int) (Math.random() * 4) * 2 + 7 + 1; // generates a random odd integer between 7 and 13

   rect.setLength(length);

   rect.setWidth(width);

}

Note: The method uses the setLength() and setWidth() methods of the Rectangle class to set the length and width of the rectangle to the generated random numbers.

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Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.

Thus the answer is d

Step-by-step explanation:

The weight of a basket containing 60 apples was 3 1/5 kg. An identical basket containing 40 apples weighed 2 and a half kilograms. It weighs 150 pounds.

The typical weight of an apple ranges from 150 g to 250 g. A 10 g error was discovered in the weight of each apple. The average weight of apples is calculated by dividing the total number of apples by the actual weight of the apples. Consequently, 10 apples actually weigh 62 g on average. As an apple is rather little, the measurement should be in grams.

Apples have a high fiber content. About 4 grams, or 17% of the Daily Value, of this vitamin may be found in a single medium-sized apple (100 grams) (DV). We divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100 to determine the mass percent of the element in the compound.

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