Paul bought 6 pounds of hamburger. He used 3 1/ 2  pounds to make burgers. Paul says he has 2 1/ 2  pounds of hamburger left.
Is Paul's answer reasonable?

A.No, his answer is not reasonable because 6+ 3 1/ 2 =9 1/ 2  .

B.Yes, his answer is reasonable because 3 1/ 2 +2 1/ 2 =6   .

C.No, his answer is not reasonable because 6−3 1/ 2 =3 1/ 2   .


ANSWER ASAP
HONEST AND DON'T GET IT WRONG PLEASE..

Answers

Answer 1

Answer:

option B

Step-by-step explanation:

Paul bought 6 pounds of hamburger. He used 3 1/ 2  pounds to make burgers. Paul says he has 2 1/ 2  pounds of hamburger left.

To find out pounds of hamburger left we subtract 3  1/2 from 6 pounds

[tex]3 \frac{1}{2} =\frac{3*2+1}{2}=\frac{7}{2}[/tex]

Now we subtract the fraction from 6

[tex]6 - \frac{7}{2} = \frac{12}{2} - \frac{7}{2} =\frac{5}{2}[/tex]

Now we convert 5/2 into mixed fraction

[tex]\frac{5}{2} = 2\frac{1}{2}[/tex]

Paul's answer is correct. because when we add [tex]3\frac{1}{2} + 2\frac{1}{2}[/tex] we will get 6


Related Questions


A cereal box has dimensions of 2in, 5 1/3 in, and 10 3/4 in the box contains 3 servings, how much volume does each serving take up?

ASAP PLEASE!!!

Answers

Answer:

35.8333 (3 repeated) in^3

Step-by-step explanation:

Just Multiply 2, 5 1/3, and 10 3/4 all together (you'll get 107.5) and divide it by 3 to get your answer.

Find the exact circumference of a circle with diameter equal to 8 ft.

Answers

Answer:

C = 8π

Step-by-step explanation:

The circumference (C) of a circle is calculated using

C = πd ← d is the diameter

here d = 8, hence

C = 8π ft ← exact value

For this case we have by definition, that the circumference of a circle is given by:

[tex]C = \pi * d[/tex]

Where:

d: It is the diameter of the circle

We have as data that the diameter of the circle measures:8ft, then, replacing:

[tex]C = \pi * 8[/tex]

Finally, the circumference is [tex]8\pi[/tex]

ANswer:

[tex]8\pi[/tex]

what is the quotient when x^3-5x^2+3x-8 is devided by x-3

Answers

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divider + Remainder

According to the attached image we have the quotient is:

[tex]x ^ 2-2x-3[/tex]

Answer:

[tex]x ^ 2-2x-3[/tex]

See attached image

How I can resolve that problem
Solve for x
5y=3x+b

Answers

Answer:

Let's solve for x.

5y=3x+b

Step 1: Flip the equation.

b+3x=5y

Step 2: Add -b to both sides.

b+3x+−b=5y+−b

3x=−b+5y

Step 3: Divide both sides by 3.

Answer:

x=

−1

3

b+

5

3

y

Step-by-step explanation:

Please mark brainliest and have a great day!

what is the solution to 2log_9(x)=log_9(8)+log_9(x-2)
x=-4
x=-2
x=4
x=8

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]Domain:\\\\x>0\ \wedge\ x-2>0\\\\x>0\ \wedge\ x>2\\\\\boxed{D:\ x>2}\\\\=============================[/tex]

[tex]2\log_9x=\log_98+\log_9(x-2)\\\\\text{use}\ n\log_ab=\log_ab^n\ \text{and}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_9x^2=\log_9\bigg(8(x-2)\bigg)\iff x^2=8(x-2)\qquad\text{use the distributive property}\\\\x^2=8x-16\qquad\text{subtract 8x from both sides}\\\\x^2-8x=-16\qquad\text{add 16 to both sides}\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4)^2=0\iff x-4=0\qquad\text{add 4 to both sides}\\\\x=4\in D[/tex]

Nagrom the Dwarf Queen desires a tunnel through the mountain to connect her two wealthiest cities, Yram and Haras, which lie on either side. In an effort to determine the length of the tunnel, Nagrom first walks 7 km from Yram to a point where she can see both cities. From that point, she measures 29, degree between the cities. Lastly, she walks 6 km to Haras. What is the length of the tunnel? Do not round during your calculations. Round your final answer to the nearest hundredth of a kilometer.

Answers

This question requires us to use the cosine rule:

a^2 = b^2 + c^2 - 2bc*cos(A),

where A is the included angle between sides b and c, and a is the side of the triangle opposite to the angle.

In the context of the question, a is the length of the tunnel (let's call this t), b is 6 km, c is 7 km and A is 29°.

Given the values in the question and those we defined, we can rewrite the equation for the cosine rule as:

t^2 = 6^2 + 7^2 - 2(6)(7)cos(29)

Now, evaluating this we get:

t^2 = 36 + 49 - 84cos(29)

t^2 = 85 - 84cos(29)

t = sq.root (85 - 84cos(29))

= 3.40 km (rounded to two decimal places)

Answer:

3.40

Step-by-step explanation:

I checked the answer and it was right!!

Which is an equivalent equation solved for r?

The circumference of a circle can be found using the formula C = 2πr.

r=Cπ
r=C(2π)
r= C over 2π
r= 2π over c

Answers

Answer:

r= C over 2π

Step-by-step explanation:

C =  2πr

To solve for r, divide each side by  2π

C/  2π =  2πr/  2π

C/  2π =  r

Answer: r= C over 2π or [tex]r=\dfrac{C}{2\pi}[/tex]

Step-by-step explanation:

Formula to find the circumference of a circle is given by :-

[tex]C=2\pi r[/tex], where r is the radius of the circle .

To find the formula for r , we need to divide both sides by [tex]2\pi[/tex], we get

[tex]r=\dfrac{C}{2\pi}[/tex]

Hence, an equivalent equation solved for r will be :-

[tex]r=\dfrac{C}{2\pi}[/tex] i.e. r= C over 2π

GEOMETRY help me please

Answers

For this case we have that by definition, the volume of a cylinder is given by:

[tex]V = \pi * r ^ 2 * h[/tex]

Where:

r: It's the radio

h: It's the height

We have as data that:

[tex]r = 7\\h = 16[/tex]

Substituting the data we have:

[tex]V = \pi * (7) ^ 2 * 16\\V = \pi * 49 * 16\\V = 784 \pi[/tex]

So, the cylinder volume is[tex]784 \pi[/tex]

Answer:

[tex]784 \pi[/tex]

The product of (3+2i) and a complex number is (17+7i)

Answers

Answer:

[tex]\large\boxed{(3+2i)(17+7i)=37+55i}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \bold{FOIL}\ (a+b)(c+d)=ac+ad+bc+bd,\ \text{and}\ i^2=-1:\\\\(3+2i)(17+7i)\\\\=(3)(17)+(3)(7i)+(2i)(17)+(2i)(7i)\\\\=51+21i+34i+14i^2\\\\=51+21i+34i+14(-1)\\\\=51+21i+34i-14\qquad\text{combine like terms}\\\\=(51-14)+(21i+34i)\\\\=37+55i[/tex]

If (x)=-2377 +3 and V(x)= x, what is the range of (LOV)(x)?​

Answers

[tex]

L(x)=-2377+3\Longrightarrow L(x)=-2374 \\

V(x)=x

[/tex]

Both of the functions are linear. [tex]L(x)[/tex] is constant.

However we are required to determine the range of [tex](L\circ V)(x)[/tex]

[tex](L\circ V)(x)=L(V(x))=L(x)=-2374[/tex]

So the only possible solution that such notation gives is -2374 so therefore the answer in terms of range is [tex]x\in\{-2374\}[/tex]

Hope this helps.

r3t40

which expression is equivalent to loga4a(b-4/c^4)

Answers

Answer:

[tex]\large\boxed{\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8(b-4)-4\log_8c}[/tex]

Step-by-step explanation:

[tex]\text{Use}\\\\\log_ab^n=n\log_ab\\\\\log_a(bc)=\log_ab+\log_ac\\\\\log_a\left(\dfrac{b}c{}\right)=\log_ab-\log_ac\\\\==============================[/tex]

[tex]\log_84a\left(\dfrac{b-4}{c^4}\right)=\log_84+\log_8a+\log_8\dfrac{b-4}{c^4}\\\\=\log_84+\log_8a+\log_8(b-4)-\log_8c^4\\\\=\log_84+\log_8a+\log_8(b-4)-4\log_8c[/tex]

Answer:

answer is A

Step-by-step explanation:

bc

Find an equation equivalent to r = 1 + 2 sin in rectangular coordinates.

Answers

The equation equivalent to r = 1 + 2 is mathematically given as

(x^2+y^2-2y)^{2}=x^2+y^2

What is the equation equivalent to r = 1 + 2 sin in rectangular coordinates. ?

Question Parameter(s):

r = 1 + 2

Generally, the equation for the polar cordinates  is mathematically given as

[tex]x=rsin\theta\\\\y=rcos\theta[/tex]

Therefore

[tex](sin^{2}\theta + cos^{2}\theta) = 1[/tex]

Hence

[tex]r=\sqrt{x^2+y^2}[/tex]

In conclusion

[tex]\sqrt{x^2+y^2} = 1+2\frac{y}{\sqrt{x^2+y^2}}\\\\x^2+y^2-2y= \sqrt{x^2+y^2}[/tex]

(x^2+y^2-2y)^{2}=x^2+y^2

Read more about Equation

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A box holds 25 pounds of cans. Each can weighs 8 ounces. How many cans does each box hold?
A- 50 cans
B- 52 cans
C- 60 cans
D- 62 cans

Answers

1 pound = 16 ounces.

1 can weighs 8 ounces, so 2 cans weigh 8 +8 = 16 ounces, which is 1 pound.

Multiply total pounds by number of cans per pound:

25 pounds x 2 cans per pound = 50 total cans.

The number of cans each box hold will be 50.

How to convert ounces to pounds?

In one pound there is a total of sixteen ounces.

So it means 1 pound = 16 ounces.

Given that the weight of the can is 8 ounces it means in 2 cans there are 16 ounces which are 1 pound.

2 cans = 1 pound

Since, the box can hold only 25 pounds Hence,

25 × 2 = 50 cans so a box can hold up to 50 cans.

For more information about conversion

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What is the measure of DF?

Answers

BC= DF

B(0,2) , C(3,2)

d= (3-0)^2 + (2-2)^2
d= 9
Square root 9= 3

DF = 3
Hope this helps!

Answer:

The correct answer is second option

3.2

Step-by-step explanation:

It is given that, Coordinates of triangle ABC,

A(0, 1), B(0, 2) and C(3, 2)

ΔABC ≅ ΔDEF

Therefore we can write, AB = DE, BC = EF and AC = DF

To find the measure of DF

DF = AC

(0, 1) C(3, 2)

By using distance formula,

AC = √[(3 - 0)² + ( (2 - 1)²]

 = √(9 + 1) = 3.16≈ 3.2

Which statement is best represented by the inequality c > 3 1/2?
A.Chef Andre used less than 3 1/2 cups of flour.
B.Chef Andre used more than 3 1/2 cups of flour.
C.Chef Andre used 3 1/2 more cups of flour than Chef Isha.
D.Chef Andre used 3 1/2 fewer cups of flour than Chef Isha.

Answers

Answer:

Option B. Chef Andre used more than 3 1/2 cups of flour.

Step-by-step explanation:

we have

[tex]c > 3\frac{1}{2}[/tex]

The solution is all real number greater than [tex]3\frac{1}{2}[/tex]

therefore

Let

c -----> the number of cups

The statement that best represented by the inequality is

Chef Andre used more than 3 1/2 cups of flour

Answer:

The answer is B

Step-by-step explanation:

Simplify.
y = (x + 1)2 -

Answers

By using FOIL method and multiplying two parenthesis, we get the value of y as x² + 2x + 1

What is FOIL method?

To multiply binomials, utilize the FOIL Method. First, Outside, Inside, and Last are represented by the letters, denoting the sequence of multiplying terms. For your answer, multiply the first word, the outside term, the inside term, the last term, and then combine like terms. The foil approach is a useful strategy since it allows us to manipulate numbers regardless of how ugly they may appear when mixed with fractions and negative signs.

The above question says," y = (x + 1)²

We can look it as ( x + 1) ( x+ 1)

Use concept of FOIL here,

So, y = (x+1)(x+1)

multiplying x with x and then with 1 and then multiplying 1 with x and then with 1.

y = x² + x + x +1

By combining the like term , we will get

x² +2x+1

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Final answer:

To simplify the expression y = (x + 1)² - 2, we need to expand the square and combine like terms.

Explanation:

To simplify the expression y = (x + 1)² - 2, we need to expand the square and combine like terms.

Square the binomial (x + 1)² using the formula for the square of a binomial:

(x + 1)² = x² + 2x + 1

Now substitute this expression back into the original equation:

y = x² + 2x + 1 - 2

Combine like terms:

y = x² + 2x - 1

- of Right Triangles
The measure of angle A is 15°, and the length of side
BC is 8. What are the lengths of the other two sides,
rounded to the nearest tenth?
AC =
AB =

Answers

You are tackling a trigonometry question here. I recommend remembering the functions and drawing the triangle out.

Answer:

AC = 29.9

AB = 30.9

Step-by-step explanation:

for edg 2020

Tina can spend up to $60 on DVDs and CDs. She buys used DVDs that cost $9.50 each. The CDs she buys at a discount for $12 each write an inequality to model the situation. Then, determine the constraints on the variables.

Answers

Answer:

9.50x+12y<=60

Step-by-step explanation:

Use the grouping method to factor the polynomial below completely.
x^3 + 2x^2 + 5x + 10

Answers

Answer:

The factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)

Step-by-step explanation:

x^3+2x^2+5x+10

Group the expression by two:

=(x^3+2x^2)+(5x+10)

Factor out GCF in each group.

=x^2(x+2)+5(x+2)

Note:(The binomials in parentheses should be the same, if not the same... there is an error in the factoring or the expression can not be factored.)

Now factoring out the GCF which basically has you rewrite what is in parentheses and place other terms left together:

=(x^2+5)(x+2)

Thus the factors of x^3+2x^2+5x+10 are (x^2+5)(x+2)....

What is the solution to the system of equations below?
y=-1/3x+6 and y= 1/3x-6
O
no solution
infinitely many solutions
(-18, 12)
(18,0)​

Answers

The solution to the system of equations y = -(1/3)x + 6 and y = (1/3)x—6 is (18, 0) option fourth (18,0) is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations:

y = -(1/3)x + 6 and

y = (1/3)x—6

Add both the equations

2y = 0

y = 0

Plug y = 0 in the first equation:

x = 18

Thus, the solution to the system of equations y = -(1/3)x + 6 and y = (1/3)x—6 is (18, 0) option fourth (18,0) is correct.

Learn more about the linear equation here:

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Answer:

It is D

Step-by-step explanation:

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answers

Answer:

3y+4x=5

Step-by-step explanation:

step 1

Find the slope

we have

(–7, 11) and (8, –9)

m=(-9-11)/(8+7)

m=-20/15

m=-4/3

step 2

Find the equation of the line into point slope form

we have

m=-4/3

point (-7,11)

substitute

y-11=-(4/3)(x+7) ----> equation of the line into point slope form

Multiply by 3 both sides

3y-33=-4(x+7)

3y-33=-4x-28

3y+4x=33-28

3y+4x=5 -----> equation of the line into standard form

Answer:

I think that the answer is D

in circle P what is the measure(in degrees) of arc ADB?

A: 270
B: 90
C: 218
D: 52

Answers

Answer:

A: 270 ,':)

Step-by-step explanation:

Answer:

the answer is A:  270

Step-by-step explanation:

Op= 360

AB= 90

Op(360)-AB(90) = 270

The length of a rectangle is 8cm greater than twice its width. Find the dimensions if the area
is 42cm

Answers

Answer:

Length [tex]14\ cm[/tex]

Width [tex]3\ cm[/tex]

Step-by-step explanation:

Let

x-----> the length of rectangle

y ----> the width of rectangle

we know that

The area of rectangle is equal to

[tex]A=xy[/tex]

[tex]A=42\ cm^{2}[/tex]

so

[tex]42=xy[/tex] ----> equation A

[tex]x=2y+8[/tex] ---> equation B

substitute equation B in equation A and solve for y

[tex]42=(2y+8)y\\ \\2y^{2}+8y-42=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]y=3\ cm[/tex]

see the attached figure

Find the value of x

[tex]x=2(3)+8=14\ cm[/tex]

therefore

Length [tex]14\ cm[/tex]

Width [tex]3\ cm[/tex]

The dimensions of the rectangle are: Width ( W = 3 ) cm and  Length ( L = 14 ) cm

We are given that the length L is 8 cm greater than twice its width W. This can be expressed as:

[tex]\[ L = 2W + 8 \][/tex]

The area  of the rectangle is given by the formula:

[tex]\[ A = L \times W \][/tex]

Given that the area is 42 cm², we can write:

[tex]\[ 42 = (2W + 8) \times W \][/tex]

Expanding the equation:

[tex]\[ 42 = 2W^2 + 8W \][/tex]

Rearranging the equation in standard quadratic form:

[tex]\[ 2W^2 + 8W - 42 = 0 \][/tex]

Now, let's solve this quadratic equation for ( W ). We can use the quadratic formula:

[tex]\[ W = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

Where:

-  a = 2

-  b = 8

-  c = -42

Now, let's substitute the values into the quadratic formula:

[tex]\[ W = \frac{{-8 \pm \sqrt{{8^2 - 4 \times 2 \times (-42)}}}}{{2 \times 2}} \]\[ W = \frac{{-8 \pm \sqrt{{64 + 336}}}}{{4}} \]\[ W = \frac{{-8 \pm \sqrt{{400}}}}{{4}} \]\[ W = \frac{{-8 \pm 20}}{{4}} \][/tex]

Now, we have two possible values for \( W \):

[tex]\[ W_1 = \frac{{-8 + 20}}{{4}} = \frac{{12}}{{4}} = 3 \]\[ W_2 = \frac{{-8 - 20}}{{4}} = \frac{{-28}}{{4}} = -7 \][/tex]

Since the width cannot be negative, we discard [tex]\( W_2 = -7 \)[/tex]. Thus, the width of the rectangle is ( W = 3 ) cm.

Now, let's find the length using the equation ( L = 2W + 8 ):

[tex]\[ L = 2 \times 3 + 8 \]\[ L = 6 + 8 \]\[ L = 14 \][/tex]

Find the distance between points (6,5 sqaure root 2) and 4,square root 3).


Help ASAP

Answers

For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](6,5 \sqrt {2})\\(4,3 \sqrt {2})[/tex]

Substituting:

[tex]d = \sqrt {(4-6) ^ 2 + (3 \sqrt {2} -5 \sqrt {2}) ^ 2}\\d = \sqrt {(- 2) ^ 2 + (- 2 \sqrt {2}) ^ 2}\\d = \sqrt {4+ (4 * 2)}\\d = \sqrt {4 + 8}\\d = \sqrt {12}\\d = \sqrt {2 ^ 2 * 3}\\d = 2 \sqrt {3}[/tex]

Answer:

Option C

Answer: Third option.

Step-by-step explanation:

The distance between two points can be calculated with this formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Then, given the points [tex](6,5\sqrt{2})[/tex] and [tex](4,3\sqrt{2})[/tex], we can identify that:

[tex]x_2=4\\x_1=6\\y_2=3\sqrt{2}\\y_1=5\sqrt{2}[/tex]

Now we must substitute these values into the formula:

 [tex]d=\sqrt{(4-6)^2+(3\sqrt{2}-5\sqrt{2})^2}[/tex]

We get that the distance between these two points is:

[tex]d=2\sqrt{3}[/tex]

select the term that describes the linear portion in this quadratic equation 7x^2-12x+16=0


A) -12x
B) 7x^2
C) 16

Answers

Answer:

A) -12x

Step-by-step explanation:

The linear portion has the variable x with power 1. It is the term -12x.

For this case we have by definition, that a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Where:

[tex]ax ^ 2[/tex]: It is the quadratic term

[tex]bx[/tex]: It's the linear term

c: It is the independent term

We have the following equation:

[tex]7x ^ 2-12x + 16 = 0[/tex]

So:

[tex]7x ^ 2:[/tex] It is the quadratic term

[tex]-12x:[/tex] It is the linear term

16: It is the independent term

Answer:

Option A

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line? y – 13 = 5(x – 2) y + 13 = 5(x + 2) y – 2 = 5(x – 13) y + 2 = 5(x + 13)

Answers

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m and passing through a point (a, b) is given as;

[tex]y-b=m(x-a)[/tex]

The slope of the line is 5; the coefficient of x in the given equation. The point given is (–2, –13). We plug in these values into the above equation and simplify;

[tex]y-(-13)=5(x-(-2))\\\\y+13=5(x+2)[/tex]

Which is the equation of the line in point-slope form

Answer:

b

Step-by-step explanation:

What is the area of the polygon given below?

Answers

Answer:

186

Step-by-step explanation:

Cut it 6+7+11=24×5=120

6+11=66

120+66=186

Answer:  The correct option is (A) 186 sq. units.

Step-by-step explanation:  We are given to find the area of the polygon shown in the figure.

Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.

The dimensions of rectangle A are

length, l = 11 units and breadth, b = 6 units.

So, the area of rectangle A is given by

[tex]AREA_A=l\times b=11\times6=66~\textup{sq. units}.[/tex]

And the dimensions of rectangle B are

length, l' = 7 + 11 + 6 = 24 units  and  breadth, b' = 5 units.

So, the area of rectangle B is given by

[tex]AREA_B=l'\times b'=24\times5=120~\textup{sq. units}.[/tex]

Therefore, the total area of the given polygon is given by

[tex]AREA=AREA_A+AREA_B=66+120=186~\textup{sq. units}.[/tex]

Thus, the required area of the given polygon is 186 sq. units.

Option (A) is CORRECT.

Without drawing the graph, find out whether the lines representing the following pair of linear equations intersect at a point, are parallel or coincident: 9x-10y=21
& 3/2x-5/3y=7/2

Answers

The easiest way to solve this question is to write out both equations in the form y = mx + c, where m is the gradient and c is the y-intercept.

a) Thus, if we start with 9x - 10y = 21, then we get:

9x - 10y = 21

(9/10)x - y = 21/10 (Divide both sides by 10)

(9/10)x = y + 21/10 (Add y to both sides)

(9/10)x - 21/10 = y (Subtract 21/10 from both sides)

Thus, our first equation may be written as y = (9/10)x - 21/10

b) Now if we take the second equation, (3/2)x - (5/3)y = 7/2, we can follow the same process to get:

(3/2)x - (5/3)y = 7/2

(9/10)x - y = 21/10 (Multiply each side by 3/5)

(9/10)x = y + 21/10 (Add y to each side)

(9/10)x - 21/10 = y (Subtract 21/10 both sides)

Thus, the second equation may be written as y = (9/10)x - 21/10.

Now you might have already realised this but the two equations are actually exactly the same; if they are the same line then they are said to be coincident.

Note that if the two lines are parallel, then their gradients (m) would be the same, but the y-intercepts (c) would be different (eg. y = 2x + 3 and y = 2x + 4 are parallel).

If they just intersect at a point, then the gradients of the lines would be different, but the y-intercepts could be the same or different (eg. y = 4x + 2 and y = 9x + 2 intersect at one point).

For them to be coincident however, both the gradient and y-intercept must be the same as only then would they be the same line.

What is the inverse of f(x) = 6x -24

Answers

Answer:

f^(−1)(x)= x/6+4

Step-by-step explanation:

interchange the variables and solve for  

y

Inverse of the given function f(x) is f⁻¹(x) = (x/6) + 4.

What is an Inverse function?It is defined as, for a one-one function each element of a range of an original function is mapped to the domain of an inverse function.Inverse of a given function is possible only of the original function is one-one and onto.

Given: Function

f(x) = 6x - 24

Let, y = 6x - 24

Now, to find the inverse of the given function we need to interchange the values of x and y and then we will solve for y.

⇒ x = 6y - 24

⇒ 6y = x + 24

Dividing both sides by 6, we get:

⇒ y = (x + 24)/6

y = (x/6) + 4

We can write it as:

f⁻¹(x) = (x/6) + 4

Therefore, the inverse of f(x) = 6x -24 is f⁻¹(x) = (x/6) + 4.

Learn more about the Inverse function here: https://brainly.com/question/14462985

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jason left the city for vacation. Dan left 3 hours later going 87 mph faster to catch up. After 2 hours Dan caught up. What was Jason's average?

Answers

Answer:

Step-by-step explanation:

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