Identify the restrictions on the domain of f(x) = quantity x plus 2 over quantity x minus 3.

Answers

Answer 1

For this case we must find the domain of the following function:

[tex]f (x) = \frac {x + 2} {x-3}[/tex]

By definition, the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is equal to zero, that is:

[tex]x-3 = 0\\x = 3[/tex]

Thus, the domain of the function is given by all real numbers except 3.

Answer:

x other than 3


Related Questions

Two consecutive positive integers have a
product of 6. What are the integer?​

Answers

Answer:

They are 2 and 3.

Step-by-step explanation:

2 * 3 = 6

X= first number
X+1= second number

X(x+1)=6
X^2+1x=6
Subtract 6 from both sides
X^2 +1x -6=0

(X+3)(x-2)=0
-3 and 2.
-3 won’t work
So the answer is 2. 2+1=3
2 and 3

Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

The LARGEST angle has a measure of ___ degrees.

Answers

Answer:

62 DEGREES

Step-by-step explanation:

TWO ANGLES=2A

LARGEST ANGLE=A+3

2A+A+3=180

3A=180-3=177

A=177/3=59

LARGEST ANGLE=59+3=62

Answer:

The Largest Angle angle has a measure of 62 degrees.

Step-by-step explanation:

In triangle ABC, angle ABC equals to angle ACB.

and BAC is the largest angle.

Let angle measure of ABC and ACB angles be "x" degree.

then, measure of third angle i.e BAC will be "x + 3" degrees.

Since sum of all angles of any triangle is 180 degree.

so,  first angle + second angle + third angle = 180

       x  + x + (x + 3) = 180

        3x  = 180 - 3

         3x = 177

          x = 59 degrees

So, First angle = 59 degree

     Second angle = 59 degree

     Third Angle = 62 degree.

The Largest Angle angle has a measure of 62 degrees.

14. Solve this system of equations:
4x + 2y = 22
3x – 2y = 13

Answers

Answer:

(x,y)= (5,1)

Step-by-step explanation:

4x+2y=22

3x-2y=13

2y=22-4x

3x-2y=13

3x-(22-4x)=13

x=5

3·5-2y=13

y=1

(x,y)= (5,1)

Answer:

(5, 1); x = 5 and y = 1.

Step-by-step explanation:

Step 1: Add the system of equations

4x + 2y = 22

3x - 2y = 13

-----------------------------

7x = 35

Step 2: Solve for x

x = 5

Step 3: Substitute the value of x in one of the original equations

4(5) + 2y = 22

Step 4: Solve for y

20 + 2y = 22

2y = 2

y = 1

Step 5: Write your answer as an ordered pair

(5, 1)

The product of two numbers is 144 and their difference is 10. What is the sum of the two numbers

Answers

Answer:

18+8=26

Step-by-step explanation:

Their sum would be 18 and * because they have  difference of ten. In order o get this you would have to multiply 1 X144 and so on.

Answer:

Step-by-step explanation:

Its 134 hope this helos

A classroom floor has an area of
(30x3 + 8x2) ft, with a width of 2x feet.
What is the length of the floor?

Answers

Answer:

The length of the floor is [tex](15x^{2}+4x)\ ft[/tex]

Step-by-step explanation:

we know that

The area of a rectangle ( classroom floor) is equal to

[tex]A=LW[/tex]

in this problem we have

[tex]A=(30x^{3}+8x^{2})\ ft^{2}[/tex]

[tex]W=2x\ ft[/tex]

substitute in the formula and solve for L

[tex](30x^{3}+8x^{2})=2x(L)[/tex]

Divide by 2x both sides

[tex]L=(15x^{2}+4x)\ ft[/tex]

Sure would help a lot

Answers

Hello There!

X = 6

First, we would add 5 to both sides so adding 5 to -5 is 0 and adding 5 to 7 is 12 so we would get the equation 2x = 12

Next, we would divide 2x by 2 and divide 12 by 2 and we would get a quotient of 6.

Our final answer is x = 6

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5= 7+5

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

what is the range of y=log_8 x

Answers

Hello!

The answer is:

Range: All the real numbers or (-∞,+∞)

Why?

To solve the problem, we need to rewrite the variable "x" as "y" and the variable "y" as "x", and then, isolate "y". Then, we need to look if there is any restriction to the resulting value of "y".

We are given the function:

[tex]y=log_8(x)[/tex]

Now, rewriting we have:

[tex]x=log_8(y)[/tex]

Then, isolating we have:

[tex]8^{x} =8^{(log_8(y))}\\\\8^{x}=y[/tex]

Therefore, we can see that the resultant function is a quadratic or polynomial function, we need to remember that there is no restriction for this type of functions, it means that the range of the function is equal to the Real numbers where the values of  "x" exist.

Hence, the answer is:

Range: All the real numbers or (-∞,+∞)

Have a nice day!

Note: I have attached a picture for better understanding.

In the number 2010, the value represented by the digit 1 is what fraction of the value represented by the digit 2?

Answers

Answer:

Step-by-step explanation:

The two represents 2000

The one represents 10

The fraction you want is 10/2000 = 1/200 or 0.005

The value represented by the digit 1 in the number 2010 is 1/200 of the value represented by the digit 2. This is determined by comparing their place values, with 1 in the tens place and 2 in the thousands place.

To determine the value represented by the digit 1 in the number 2010, we need to understand place value.

→ The digit 1 is in the tens place, so its value is 10 (1 × 10).

→ The digit 2 is in the thousands place, so its value is 2000 (2 × 1000).

The fraction of the value represented by the digit 1 to the value represented by the digit 2 is calculated as follows:

→ Fraction = Value of digit 1 / Value of digit 2

                = 10 / 2000

                = 1/200

Therefore, the value represented by the digit 1 is 1/200 of the value represented by the digit 2 in the number 2010.

help can’t find the answer

Answers

Answer:

Volume= 82.4in³

Step-by-step explanation:

Volume is the measure of the amount of space inside of a solid figure, like a cube, ball, cylinder or pyramid. It's units are always "cubic"

To find the volume of sphere, we will use the following formula of Volume:

Volume = 4/3 πr³

Put the values in the formula:

As we know that the value of π is 22/7 or 3.14

Radius = 2.7

According to the formula:

Volume = 4/3 * 3.14 *(2.7)³

Volume= 4/3* 3.14(19.683)

Volume=4/3(61.80462)

Volume=247.21848/3

Volume= 82.4in³....

A side of a square is 8 3/2  inches. Using the area formula A = s2, determine the area of the square.

Answers

Answer:

Area=512 square inches

Step-by-step explanation:

According to the given data;

A side of a square = (8)³/² inches.

Area of a square = ?

To find the area of a square we use the formula:

Area = s²

Area=(8)³/²)²

Area = 8³

Area= 8*8*8

Area=512 square inches....

An 'A' is considered 4.0, a 'B' is 3.0, a 'C' is 2.0, a 'D' is 1.0, and an 'F' is 0. If you received the following grades in your first semester, what would your grade point average be?

English: 3.0 credits, B.
Biology: 4.0 credits, B.
Communications: 3.0, F.
New student seminar: 1.0, A.

Express your answer rounded to the hundredths place.

Answers

Answer:

Your grade point average would be 2.75(B- or C+)

Step-by-step explanation:

[tex]\frac{3+4+3+1}{4} \\\frac{11}{4} \\2.75[/tex]

Final answer:

Explaining the calculation of GPA based on given grades, resulting in an approximate value rounded to the hundredths place.

Explanation:

The grade point average (GPA) for the given grades can be calculated as follows:

English: 3.0 credits, B, which is 3.0 in GPA scale

Biology: 4.0 credits, B, which is 3.0 in GPA scale

Communications: 3.0, F, which is 0.0 in GPA scale

New student seminar: 1.0, A, which is 4.0 in GPA scale

Calculating the GPA:

(3.0 + 3.0 + 0.0 + 4.0) / 11 = 10.0 / 11 = 0.91

Therefore, the grade point average would be approximately 0.91 rounded to the hundredths place.

Simplify the expression.

-(10)^-2

Answers

Answer:

-1/100

Step-by-step explanation:

-(10)^-2

Exponents first

We need to make the negative in the exponent positive, which means move it to the denominator

-1

--------

10^2

-1

---------

100

Answer:

-1/100

Step-by-step explanation:

10^(-2) becomes 1/100.

-(10)^(-2) is -1/100.

For 1-Z; the local craft store charges a
registration fee of $10 and $5.50 per
class.
1. Which expression can be used to
determine the total charge, in
dollars, to participate inx number
of classes?

Answers

[tex]\huge{\boxed{5.5x+10}}[/tex]

We multiply the class fee by the number of classes. [tex]\bf{5.5x}[/tex]

A registration is a one-time fee, so it is simply added. [tex]5.5x \bf{+10}[/tex]

Which of the following describes a triangle?

A. One-dimensional

B. Two-dimensional

C. Zero-dimensional

D. Three-dimensional

Answers

Answer:

B

Step-by-step explanation:

A triangle has both x and y values making it 2D. A 1D object is a point, a 3D object is a cube or something, and a 0D object is nothing.

What is the value of k?

Answers

Answer:

i thought its -9

Step-by-step explanation:

x / x-2=x-k / x-4x /x=x-k/x-4+2

cut x/x of first side

k=x/x-6

now cut x/x

k=-63=-6-6-3-9

Elsie pays $8.99 for a one-pound canister of Georgia pecans. Write and solve a proportion to determine the cost of 4
ounces of the pecans she needs for a particular recipe. Round answer to the nearest cent.
(SHOW WORK)

Answers

Final answer:

To find the cost of 4 ounces of pecans, we set up a proportion comparing the cost to weight, resulting in $2.25 after rounding to the nearest cent.

Explanation:

To determine the cost of 4 ounces of pecans when a one-pound (16 ounces) canister costs $8.99, we set up a proportion where the cost is directly proportional to the weight.

The proportion is $8.99/16 ounces = $X/4 ounces, where X represents the cost of 4 ounces of pecans.

Multiplying both sides by 4 to solve for X gives us $X = (4 ounces × $8.99) / 16 ounces.

Simplifying this, we find that $X = $2.2475, which, when rounded to the nearest cent, gives us an answer of $2.25.

A researcher determined the amount of ducks that were in a pond over a four-year time span. The results are shown in the table below.
Year 1, 2, 3, 4
Ducks 64, 78, 92. 106

Year Ducks
1 64
2 78
3 92
4 106
Select an equation that best models the amount of ducks (d) that will be in the pond during the nth year.


d= 64(1.22)^n-1

d=14n +64

d= 14n + 50

d + 50(1.14)^n-1

Answers

Answer:

Option C (d = 14n + 50).

Step-by-step explanation:

The observations for Year 1, 2, 3, and 4 are 64, 78, 92, and 106 respectively. It can be observed that the difference between second term and the first term is 78 - 64 = 14. This is also true for the third term and the second term. In fact, the difference between the terms is fixed. This means that the sequence is an arithmetic sequence, in which the difference between the terms is fixes for all the terms. The nth term in this case is defined as:

S = a + (n-1)*d; where S is the output at a given n, a is the first term, n is the position, and d is the common difference. In this question, S = ducks (d), a = 64, and d = 14. Therefore, plugging in the values in the above formula gives:

d = 64 + (n-1)*14.

d = 64 + 14n - 14.

d = 14n + 50.

Therefore, the model which best describes the amount of ducks that will be in the pond during the nth year is d = 14n + 50, i.e. Option C!!!

Answer: Third Option

[tex]a_n =14n+50[/tex]

Step-by-step explanation:

By subtracting consecutive terms from the number of ducks each year you will get a common difference of 144.

[tex]78-64 = 14\\92-78 = 14\\106-92 = 14[/tex]

This means that the data can be modeled by the equation of an arithmetic sequence

The arithmetic sequences have the following form:

[tex]a_n = a_1 + d(n-1)[/tex]

Where [tex]a_1[/tex] is the first term and d is the common difference between the consecutive terms.

So :

[tex]a_1 = 64[/tex]

[tex]d = 14[/tex]

Then the equation is:

[tex]a_n = 64 + 14(n-1)[/tex]

[tex]a_n = 64 + 14n-14[/tex]

[tex]a_n =14n+50[/tex]

Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?

Answers

Answer:

-9-3/1-(-7)

Step-by-step explanation:

Answer:

The slope of given line = -3/2

Step-by-step explanation:

Points to remember

slope of the line with end points (x1, y1) and (x2, y2) is given by,

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

To find the slope of the line

Here (x1, y1) = (-7, 3) and (x2, y2) = (1, -9)

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

 = (-9 - 3)/(1 - -7)

 = (-12)/8

 = -3/2

Therefore the slope of given line = -3/2

Dimensions for an office floor plan is 15ft. By 15ft and 28ft. By 28ft. Tile runs $1 per square foot and carpeting $5 per square foot. What is the estimated total cost for the floor coverings installed

Answers

Answer:

$2520

Step-by-step explanation:

Taking the dimensions of the office floor from the plan to be;

[tex]15ft*28ft[/tex]

Area of the floor to be covered will be the product of the sides dimensions

[tex]=15*28=420ft^{2}[/tex]

Cost of putting tile on the floor

1ft²=$1

420ft²=?

=[tex]\frac{420*1}{1} =420[/tex]

=$420

Cost of putting a carpet on the floor

1ft²=$5

420ft²=?

[tex]=\frac{420*5}{1} =2100[/tex]

=$2100

Estimated cost

Total estimated cost =cost for putting tiles+cost for putting carpet

=$420+$2100=$2520

which of the following binomials below is a factor of this trinomial x(x)-13x+36​

Answers

Answer:

(

x

+

4

)

(

x

+

9

)

=

0

Your answer would be x=-4 and x=-9.

Explanation::

(

x

+

4

)

(

x

+

9

)

x

times  

x

=

x

2

x

(

9

)

+

x

(

4

)

=

13

x

4

times  

9

=

36

=  

x

2

+

13

x

+

36

Answer:

So the factors of the given are:

(x-4) and (x-9).

The factored form of the given expression is (x-4)(x-9).

Step-by-step explanation:

To factore the given quadratic with leading coefficient one, you must find two numbers that add to be and multiply to be c.

a=1

b=-13

c=36

So we need two numbers that multiply to be 36 and add to be -13.

These numbers are -4 and -9 since

(-4)(-9)=36 and -4+-9=-13.

So the factors of the given are:

(x-4) and (x-9).

The factored form of the given expression is (x-4)(x-9).

2x^2+y^2=8xy find dy/dx

Answers

Answer:

2(x-2y)/(4x-y)  =  dy/dx

Step-by-step explanation:

2x^2+y^2=8xy

Take the derivative of each term, remembering that we take the 8xy as derivative by parts)

2 * 2x dx +  *2y dy = 8 ( x dy + dx *y)

4x dx +2y dy = 8x dy + 8y dx

Subtract 2y dy from each side

4x dx +2y dy -4y dy = 8x dy - 2y dy + 8y dx

4x dx  = 8x dy - 2y dy + 8y dx

Subtract 8y dx from each side

4x dx -8y dx  = 8x dy - 2y dy + 8y dx-8y dx

4x dx -8y dx  = 8x dy - 2y dy

(4x-8y) dx = (8x-2y) dy

Factor out a 4 from the left side and a 2 from the right side

4(x-2y) dx = 2( 4x-y) dy

Cancel a 2

2(x-2y) dx = ( 4x-y) dy

Divide each side by (4x-y)

2(x-2y)/(4x-y) dx = ( 4x-y)/(4x-y) dy

2(x-2y)/(4x-y) dx =  dy

Divide by dx

2(x-2y)/(4x-y) dx/dx =  dy/dx

2(x-2y)/(4x-y)  =  dy/dx

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Answers

Answer:

Part 1) [tex]c=21.9\ units[/tex]

Part 2) [tex]B=61.1\°[/tex]

Part 3) [tex]A=28.9\°[/tex]

Part 4) [tex]C=90\°[/tex]

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

substitute the given values

[tex]c^{2}=10.6^{2}+19.2^{2}[/tex]

[tex]c^{2}=481[/tex]

[tex]c=21.9\ units[/tex]

step 2

Fin the measure of angle B

we know that

In the right triangle

[tex]tan(B)=b/a[/tex]

substitute the given values

[tex]tan(B)=19.2/10.6[/tex]

[tex]B=arctan(19.2/10.6)=61.1\°[/tex]

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

[tex]B=61.1\°[/tex]

[tex]C=90\°[/tex]

substitute

[tex]A+61.1\°+90\°=180\°[/tex]

[tex]A=28.9\°[/tex]

Answer:

A = 28.9 degrees, B = 61.1 degrees, c = 21.9

Step-by-step explanation:

I got it correct on founders edtell

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common labeled AB.

A
[tex]y \leqslant - 2 + 3 \\ y \leqslant x + 3[/tex]
B
[tex]y \geqslant - 2x + 3 \\ y \geqslant x + 3[/tex]
C
[tex]y \leqslant - 3x + 2 \\ y \leqslant - x + 2[/tex]
D
[tex]y > - 2x + 3 \\ y > x + 3[/tex]

Answers

Answer:

[tex]\large\boxed{A.\ y\leq-2x+3,\ y\leq x+3}[/tex]

Step-by-step explanation:

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded region below the line

>, ≥ - shaded region above the line

=============================================

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points:

(0, 3) - y-intercept → b = 3 (for both lines)

f(x)

(0, 3), (1, 1)

[tex]m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2[/tex]

Substitute:

[tex]f(x):\ y=-2x+3[/tex]

The shaded region is below the solid line. Therefore: [tex]y\leq-2x+3[/tex]

g(x):

(0, 3), (2, 5)

[tex]m=\dfrac{5-3}{2-0}=\dfrac{2}{2}=1[/tex]

Substitute:

[tex]g(x):\ y=1x+3=x+3[/tex]

The shaded region is below the solid line. Therefore: [tex]y\leq x+3[/tex]

Answer:

b

Step-by-step explanation:

Simplyify t^12/t^6 *PLEASE HELP*

Answers

Answer:

C

Step-by-step explanation:

In division when bases are same you do top exponent minus bottom exponent.

So here you do t^(12-6) which is t^6.

What is the truth value for the following conditional statement?

If the grass is red, then the snow is white.

T T → F
F T → T
F T → F
T F → T

Answers

Answer:  the correct option is

(B) F T → T.

Step-by-step explanation:  We are given to find the truth value of he following conditional statement :

"If the grass is red, then the snow is white."

Let us consider that

p : the grass is red. This is a false statement

and  

q : the snow is white. This is a true statement.

So, we get

p  →  q

F  → T, which is true (T).

Thus, the required answer is  F T → T

Option (B) is CORRECT.

Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank offers a monthly compounded interest rate of 0.14%, while Sunrise Banking offers 1.6% interest compounded annually. Which is the better plan? Explain.
(SHOW WORK)

Answers

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.

Monthly compound interest rate = P(1+r/n)^nxt

n=12 (number of months in a year)

t=1 (number of years)

Annually compound interest rate = P(1+r/n)^nxt

n=1 (because it is for 1 year only)

t=1 (number of years=1)

Step 2 : Lets assume that P is $100 in both banks and time is 1 year.

Step 3 : Lets substitute the values to find out which one is better.

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

!!

Answer:

The Unity Bank is offering a good plan.

Step-by-step explanation:

Unity Bank offers a monthly compounded interest rate of 0.14%

So, yearly rate will be = [tex]0.14\times12=1.68[/tex]% or 0.0168

Sunrise Banking offers 1.6% or 0.016 interest compounded annually.

Lets check an example with these two rates.

The compound interest formula is = [tex]A=P(1+r/n)^{nt}[/tex]

Lets take P = $1000 and t = 1 year

Case 1: when r = 1.68% and n = 12

Putting the values in formula we get

A = [tex]1000(1+0.0168/12)^{12}[/tex]

= [tex]1000(1.0014)^{12}[/tex]

A = $1016.92

Case 2: when r = 1.6% and n = 1

Putting the values in formula we get

A = [tex]1000(1+0.016/1)^{1}[/tex]

= [tex]1000(1.016)^{1}[/tex]

A = $1016.00

So, we can see that the first case gives more return than second one.

Therefore, the Unity Bank is offering a good plan.

64 -[16 x (-3) – 2 x{17 – 25 }]​

Answers

Answer:

96

Step-by-step explanation:

64 -[16 x (-3) – 2 x{17 – 25 }]​   I'm going to take a couple of steps that are very small and they can be combines along with other steps. Combine 16*-3

64 - [-48 - 2*(17 - 25)]            Combine what is inside (17 - 25)

64 - [-48 - 2*(-8)]                    Combine -2*-8

64 - [-48 + 16]                         Combine what is in the brackets.

64 - [-32]                                 Remove the brackets

64 + 32                                    Combine

96

The trick in this question is the signs.

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents this scenario?



PLZ HELP IM TIMED

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of solved puzzles

y -----> the number of solved riddles

we know that

[tex]2x+y \geq 4[/tex]

The solution of the inequality is the shaded area above the solid line [tex]2x+y=4[/tex]

The slope of the solid line is negative [tex]m=-2[/tex]

The y-intercept of the solid line is the point (0,4)

The x-intercept of the solid line is the point (2,0)

therefore

The graph in the attached figure

Answer:

The graph that representss this scenario is attached.

Explanation:

You can create the graph by determining the expression that shows the relationship between the variables and then drawing the graph in a coordinate system.

1. Determine the expression that relates the variables.

a) The name of the variables is given:

x: number of solved puzzles

y: number of solved riddles

b) Point rules:

Each solved puzzle is worth two points: 2x

Each solved riddle is worth 1 point: 1y = y

Sum of points: 2x + y

The video game requires at least 4 points to advance: this means that the number of points must grater than or equal to 4 ⇒ 2x + y ≥ 4 .

In conclusion, it has been determined that the expression that rules the system of points is the inequality 2x + y ≥ 4.

2) Building the graph

Solve algebraically for y: y ≥ 4 - 2x

You want to draw the border line of the function, that is y = 4 - 2x

You have a linear function, so you need only two points to draw it. It is generally easier to work with the intercepts.

x-intercept (y = 0) ⇒ 2x + 0 = 4 ⇒ 2x = 4 ⇒ x = 2 ⇒ point (2, 0)

y-intercept (x = 0) ⇒ 2(0) + y = 4 ⇒ y = 4 ⇒ point (0, 4).

In conclusion, you can use the points (2,0) and (0,4) to draw the line that is the border of your graph.

Addtional constrains: x and y cannot be negative, so add the constrains:

       x ≥ 0 and y ≥ 0

The set of solutions of y ≥ 4 - 2x is the same line y = 4 - 2x and the region over the line, so you have to shade that portion of the graph, but only in the first quadrant (since x and are greater than or equal to zero).

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7 days left until the launch of our new product and we have $668.00 left in our promotion budget we need to spend 85.00 on the last day how many dollars can we spend on the remaining days

Answers

Answer:

$97.16 per day

Step-by-step explanation:

Total amount you have = $668.00

You have to spent $85.00  on the last day.

$668.00-85.00

=$583

It means you have $583 for the remaining 6 days in the week.

If you spend equal amount of money each day , you can calculate it by dividing remaining amount and number of days

=583/6

=$97.16

It means you can spend $97.16 per day....

Swill sells 35 liters or milk in a day. How many liters of milk will be sold if he has to sell 125% more milk per day

Answers

Answer:

43.75 liters.

Step-by-step explanation:

125% = 1.25 as a decimal fraction.

number of liters of milk = 35 * 1.25

= 43.75 liters.

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