Expand and simplify 5(X-3)-2(2x+1)

7×1000 equals wut Help me

Aleonysh [2.5K]

Answer:

7000

Step-by-step explanation:

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

Yuki888 [10]

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) $x \leq 9.01\ gal$

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?

The budget is given by the equation

y=40

therefore

The budget is $40

Part b) How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

$3.55x+8 \leq 40$

Solve for x

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

7 0

3 years ago

Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is

Aleksandr [31]

Answer:

261.48

Step-by-step explanation:

6 0

3 years ago

Construct the exponential function that contains the points (0,2) and (3,54)

erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

<h3>How to construct the exponential function?</h3>

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

brainly.com/question/24077767

8 0

2 years ago

Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I

DochEvi [55]

Answer:

(1, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

Substitute in y: 3 = -3x + 6
[Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
[Division Property of Equality] Divide -3 on both sides: 1 = x
Rewrite/Rearrange: x = 1

Step 3: Solve for y

Define original equation: y = -3(1) + 6
Multiply: y = -3 + 6
Add: y = 3

6 0

2 years ago