Translate into a variable expression. Then simplify. a number n minus the difference between the number and six   Translate into a variable expression. Then simplify. two times the product of six and a number n   Solve and check. −3 = x + 8 x=     Is 0 a solution of 5x + 6 = −2(x + 2) + 11? yes or no?   Solve and check. 7x = 5   Solve and check. 3/7y=15   Solve and check. (If there is no solution, enter NO SOLUTION.) 2y − 3 = −3 y=____   Solve and check. 4 − 3x = 7x − 2(3 − x) x=___   Solve and check. x-4/4+x+5/6=5x-4/9 Solve the formula for the given variable. PV = nRT; R      (Chemistry) R=___

Q: Sketch the graph of the following piecewise function: -4 3

A: Given,

Q: how do i solve: 3x-1>3+1

A: The given inequality is

Q: PLEASE, I NEED HELP WITH A SELF EXPLANATORY DETAILED SOLUTIONS TO THIS PROBLEM. I WILL APPRECIATE IT...

A: For any u1, u2,…..,un belongs to the vector space V and f(u1), f(u2),….., f(un) are linearly indepen...

Q: Graph 10/3 on a number line

A: It is known that,

Q: how do i solve: -5<4-3x<2 ( express answer in set notation or interval notation)

A: The given inequality is

Q: A person buys a phone for $81 and signs up for a single-line phone plan with 2000 monthly anytime mi...

A: Refer to the question,As person buys a phone at $81 and monthly plan costs $ 119.96Let t be the numb...

Q: Find an equation of the line L.L is perpendicular to y=3x.

A: y=3xWe compare it with y=mx+bSo, m=3

Q: Given that g(x)=2x2+2x+16, find each of the following: a)  g(5) b)  g(p+4)

A: The given function is g(x)=2x2+2x+16.a)  g(5) is computed.

Q: Simplify. Do not leave negative exponents in your answer: (3a3b2)-1(-2a-4b3)-3

A: Given,

Q: -7/27+ 13/27

A: Calculation:Simplify the given expression as follows,

Q: If the point (9,-14) is on the graph of a function f, then f(9)=  What is the value of f(9)?

A: To read the values of the function f(x) at a specified point  from its graph

Q: WHat are the dimensions of a rectangle whose perimeter is 56ft. and whose area is 180 sq. ft.?

A: Let x and y be the length and breadth of rectangle respectively. Firsstly, we use the formula for pe...

Q: nS ISIna X -

A: Consider the quadratic equation as x2 – 12x +24 = 0.The formula for the general quadratic equation a...

Q: Working in the symmetry group of the regular n-gon, how many solutions does the equation x^2=e have?...

A: Let G be the group of symmetries of an n-sided regular polygon. Required to count the number of solu...

Q: 5/6 x -2x +4/3 =5/3

A: Given that the expression is,

Q: Write an equation of the line that passes through (1.5, -3.6) and is perpendicular to the line defin...

A: The line equation is y = –5x – 3 and the point is (1.5, –3.6).Here, the slope m is –5.The slope of t...

Q: Evaluate the expression 1+√−1 / 4+√−9 and write the result in the form a+bi

A: To evaluate 

Q: A cave explorer descends to the floor of a cave in 7 ​stages, dropping 106 feet each time.   Estima...

A: Since, a cave explorer descends to the floor of a cave in 7 ​stages, dropping 106 feet each time.

Q: Write an equation for the line that passes through the point (3,5) and has a slope of -5/3. Give exa...

A: The general equation of line passing through the point(a,b) and having slope equal to m is given by,

Q: Write a slope-intercept equation for a line passing through the given point that is parallel to the ...

A: The given equation of line is,

Q: What are the step by step for solving the following problem? -3(x-6)=2-x

A: We need to solve the given equation.

Q: How do you find domain and range of a graph ?

A: The domain is the set of all possible x-values which will make the function "work” and will output r...

Q: Good Afternoon,   can you please help me solve question in attachment I keep getting answer y=-1/2x+...

A: Consider the given graph.

Q: I need help with expotential expressions...   For example 5^-2

A: An exponential expression is one which contains an exponent. The Laws of exponents are used to evalu...

Q: The relationship between the balance B (in dollars) left on a mortgage loan and N, the number of mon...

A: To work out the balance (B) after the specified number of years , using the formula relating the mor...

Q: Gaby values cheese pizza 3 times more than pepperoni. She buys a half cheese half pepperoni pizza fo...

A: The cost of cheese pizza is 3 times more than pepperoni.Let the cost of cheese pizza be C and the co...

Q: If I have 8 apples and take away 4, how many do i have left?

A: You have 8 apples and 4 apples are being taken away. This means number of apples which you have is r...

Q: 1. Suppose that a manufacturer determines that there is a linear relation between P, the profit earn...

A: To identify the independent and dependent variables in the given problem

Q: The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1998. ...

A: The number of visits to public libraries increased from 1.3 billion to 1.6 billion from the year 199...

Q: 2. A butcher has some hamburger that is 23% fat and some that is 17% fat. How many pounds of each sh...

A: Let x lb of 23% fat hamburger is mixed with (81–x) lb of 17% fat hamburger to make 81 lb of 19% fat ...

Q: The tuition at a certain college was ​$20, 181 last year and increased 5.3​% from last year to the c...

A: Given: -

Q: Years of Education Hourly Wage 8 $6.30 10 $9.70 13 $14.80 Construct a linear equation to m...

A: The linear equation to model the given relationship can be taken as follows.

Q: 2x3+2x2-15x+4 divided by x-2 find the quotient using long division.

A: First get rid of 2x^3. 

Q: How many gallons of a 60​% antifreeze solution must be mixed with 60 gallons of 20​% antifreeze to g...

A: Let x gallons of 60% antifreeze solution required to mixed with 60 gallons of 20% antifreeze to get ...

Q: uppose the equations E(n)=8000+500n and G(n)=16,000+2000n give the total cost of operating an electr...

A: Given,Equation of total cost of heating a home by electricity and gas is E(n)=8000+500n and G(n)=16,...

Q: 4x2=-8x-1

A: Given equation is 4x2 = –8x –1.Rewrite the equation as quadratic equation.

Q: In 1977 a math professor bought her condominium in Cambridge, Massachusetts, for $70,000. The value ...

A: The amount increased from the year1977 to 2007 as follows.

Q: 2. A company makes a product in two different factories. At factory X it takes 30 hours to produce t...

A: You have wrote the inequalities correctly. We have to maximize z=x+ysubject to:30x+20y<=600050x+6...

Q: How do I solve this? 2432/5

A: The base 243 has the power 2/5.The denominator 5 in the power can be written as the fifth root 2432.

Q: Formulate but do not solve the problem.The management of Hartman Rent-A-Car has allocated $2.08 mill...

A: Given, 

Q: How can I use Inductive Reasoning to predict the next three numbers after 9, -45/4 , 225/16 , -1125/...

A: Notice that the numerator of numbers can be written as:       9 = (-5)0 × 9    -45 = (-5)1 × 9    22...

Q: How do I complete a point slope equation? I am given the coordinates (3,6) and (5,-8) and asked to c...

A: First obtain the slope for the given two points.

Q: NCBM 0214 Written A Support for sections 1.2, Due - Complete the problems in the boxes below. You mu...

A: Given that,Speed of the Freight train = 60 km/hrSpeed of the Amtrak train = 90 km/hrAfter 2 hours Am...

Q: In​ 1972, a state set a record for the largest​ 24-hour temperature swing ever recorded. On January​...

A: Since the temperature recorded on January 14 is,

Q: x^(−1/2) (x + 5)^(1/2) + x^(1/2) (x + 5)^(−1/2), how would this problem be factored.

A: The given expression is

Q: Question: If the lines 2y + 6x = 1 and a y- 5x = 7 are perpendicular, what is the value of a? Also, ...

A: We write both lines in y=mx+b form.2y+6x=12y=-6x+1y=-3x+(1/2)Slope of this line =-3

Q: Algebra Question

A: Obtain the urban population from the total population as follows.

Q: Translate into a variable expression. the sum of four-fifths of m and thirty-seven ______   Translat...

A: The variable expression of the sum of four-fifths of m and thirty-seven is, 

Q: (2x-y)2

A: Given, 

Q: square root of (k + 7) - square root of (3 - k) = 2 k = ?

A: The given condition is

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.