What is the inverse of 2x-6y=1

Answers

Answer 1

-1/3 x should be the correct answer.

Related Questions

What is the equation of the graph below?
A graph shows a parabola that opens up and does not cross the x axis. The axis of symmetry is x equal negative 2. The parabola crosses through the points negative 1, 4 and negative 3, 4.
y = − (x − 2)2 + 3
y = (x + 2)2 + 3
y = − (x + 3)2 + 2
y = (x − 3)2 + 2

Answers

y = (x+2)^2 + 3, the second one.

This one never crosses the x axis (The last one neither). This one has the vertex in x=-2 (the last one in x=3). Moreover, x=-1, gives (-1+2)^2+3 = 4, and same for x=-3.

Since the graph opens upward it cannot be the first or third choice.
Option # 2
y = (x + 2)^2 + 3
(-1, 4)
(-3, 4)
y = (-1 + 2)^2 + 3
y = (1)^2 + 3
y = 1 + 3
y = 4 checks
y = (-3 + 2)^2 + 3
y = (-1)^2 + 3
y = 1 + 3
y = 4 checks
Options # 2 is the answer

can someone help with factoring the trinomial below

Answers

x^2 + 15x + 56

56 = 7 * 8
15 = 7 + 8

so
x^2 + 15x + 56 = (x + 7)(x + 8)

answer is D. (x + 7)(x + 8)

In a test of a gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this result, what is the probability of a girl born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

Answers

When it comes to probability, the answer is always expressed as part of a whole. With that being said, your answer for this problem can be a ratio, fraction or in percentage. Probability is the study of finding the chances or odds of an event happening with the use of statistics. You are already given the statistics of baby girls and baby boys. Note that you are asked to find the probability of the baby being a girl. So, the part here includes the 248, while the whole is 248+13 = 261. Therefore, the probability is 248/261 or 0.95 or 95%. That means that the likelihood of having a girl baby using this technique is very high.

Use the remainder theorem and the factor theorem to determine whether (b+4) is a factor of (b^3+3b^2-b + 12)

Answers

b+4=0
b=-4
then put it in polynomial and if the answer was 0, then b+4 is its factor
-64+48+4+12=0

One pound of feathers would be easier weighing than one pound of iron

Answers

They weigh the same --- One pound.

One pound of feathers = One pound of iron

it would be harder, since feathers are lighter than iron, you would need a lot more of them , which could make it harder to weigh them.

The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. Alberto’s average stride rate during a 10-kilometer race is 180 steps per minute.

What is Alberto’s average speed during the race?

Answers

y = 1.2x
y = meters per minute
x = steps per minute = 180
y = 1.2 (180)
y = 216 meters per minute

Answer:

What is Alberto’s average speed during the race?

216 meters per minute

Based on the linear model, which is the best prediction of how long it will take Alberto to finish the 10-kilometer race?

B. 46 minutes

What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?

Answers

The 30th percentile for the given data set is 5758.8, calculated by arranging the data in ascending order and interpolating between the 3rd and 4th values.

To find the 30th percentile for the given data set, first arrange the data in ascending order and then calculate the rank of the 30th percentile. The formula to find the kth percentile for a data set with n observations is:

Rank = (k/100) * (n + 1)

For the given data set of 10 values, the 30th percentile rank would be:

Rank = (30/100) * (10 + 1) = 3.3

Since the rank is not a whole number, the 30th percentile lies between the 3rd and 4th values in the ordered set. After arranging the data:

5581

5700

5896

5972

5993

6075

6274

6283

6381

The 3rd and 4th values are 5700 and 5896. We must interpolate to find the exact 30th percentile:

30th Percentile = 5700 + 0.3 * (5896 - 5700) = 5700 + 0.3 * 196 = 5700 + 58.8 = 5758.8

The 30th percentile is 5758.8.

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equation of this cubic polynomial function. Recall that the zeros are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?

Answers

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
[tex]f(x) = a(x - x_1)(x-x_2)(x-x_3)[/tex]

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form [tex](x_n , 0)[/tex]

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say [tex]x_1 = 2 , x_2 = 3 , x_3 = 5[/tex]

So required equation is
[tex]f(x) = a (x-2)(x-3)(x-5)[/tex]
              [tex]= a[(x^2 - 2x - 3x + 6)(x-5)][/tex]
              [tex]= a[(x^2 - 5x+6)(x-5)][/tex]
              [tex]= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)[/tex]
              [tex]= a(x^3 - 10x^2+31x-30)[/tex]
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
[tex]-5= a (0-0+0 - 30)[/tex]
[tex]-5 = -30a[/tex]
[tex]a = \frac{-5}{-30} = \frac{1}{6} [/tex]
So required equation of cubic polynomial is
[tex]f(x) = \frac{1}{6}(x^3 -10x^2+31x-30) [/tex]

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

The equation of the function is [tex]y = \frac 16(x -2)(x -3)(x -5)[/tex], and the y-intercept of the function is -5

A cubic function is represented as:

[tex]y = a(x -x_1)(x -x_2)(x -x_3)[/tex]

The zeros are (2, 0), (3, 0), and (5, 0).

This means that:

(x1, y) = (2, 0)

(x2, y) = (3, 0)

(x3,y) = (5, 0)

So, we have:

[tex]y = a(x -2)(x -3)(x -5)[/tex]

The graph passes through the point (0,-5).

So, we have:

[tex]-5 = a(0 -2)(0 -3)(0 -5)[/tex]

Evaluate the products

[tex]-5 = -30a[/tex]

Solve for a

[tex]a = \frac{5}{30}[/tex]

[tex]a = \frac{1}{6}[/tex]

Substitute 1/6 for a in [tex]y = a(x -2)(x -3)(x -5)[/tex]

[tex]y = \frac 16(x -2)(x -3)(x -5)[/tex]

The y-intercept of the function is when x = 0.

Hence, the y-intercept of the function is -5

Answers

The increase indicates a compound growth of 3.2% per year.
The multiplier is given by 100%+3.2% = 103.2% = 1.032

The initial amount of GDP is 577 billion

We are looking to find in how many years since 1985 that the GDP equals to 1.6 trillion, this is 1.6×10³ billion

The formula for a compound growth/decay is given as
[tex] A_{n}= A_{o} (Multiplier)^{n} [/tex], where [tex] A_{n} [/tex] is the final value and [tex] A_{o} [/tex] is the intial value.

We are looking to find 'n'

1.6×10³ = 577(1.032)ⁿ
(1.6×10³) ÷ 577 = 1.032ⁿ
1060/577 = 1.032ⁿ ⇒ take log both sides
log( 1060/577 ) = log (1.032)ⁿ
log (1060/577) ÷ log (1.032) = n
n = 19.31 ≈ 19 years

The year when GDP achieves 1.6 trillion is 19 years from 1985, which will be in 2004, providing the increase rates stays the same.

Samantha wants to use her savings of $1150 to buy shirts and watches for her family. the total price of the shirts she bought was $84. the watches cost $99 each. what is the maximum number of watches that samantha can buy with her savings? (1 point)

Answers

84 + 99w = 1150
99w = 1150 - 84
99w = 1066
w = 1066/99
w = 10.76......so she can buy 10 watches maximum

Answer:

Maximum number of watches Samantha can buy equals:

Step-by-step explanation:

Samantha wants to use her savings of $1150 to buy shirts and watches for her family.

The total price of the shirts she bought was $84.

The watches cost $99 each.

Let she bought x watches

then, 84+99x≤1150

subtracting by 84 on both sides, we get

99x≤1066

dividing both sides by 99, we get

x≤ 10.7676

Hence, maximum number of watches Samantha can buy equals:

A store sells two sizes of fresh wreaths. an? 18-inch wreath costs ?$1515?, and a? 22-inch wreath costs ?$3535. in one? day, the number of? 22-inch wreaths sold was fourfour more than twicetwice the number of? 18-inch wreaths, for a total of ?$820820. how many of each were? sold

Answers

x = 18 inch wreath, y = 22 inch wreath

15x + 35y = 820
y = 2x + 4

15x + 35(2x + 4) = 820
15x + 70x + 140 = 820
15x + 70x = 820 - 140
85x = 680
x = 680/85
x = 8 <== 8 eighteen inch wreaths were sold

y = 2x + 4
y = 2(8) + 4
y = 16 + 4
y = 20 <== 20 twenty-two inch wreaths were sold

The number of 18 inches of wreaths sold was 9 while 22 inches were 51.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say a number of 18 inches of wreaths is x while 12 inches is y.

Given that,

In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths.

So,

y = 5x + 6

And

Total amount

15x + 35y = 1920

⇒ 3x + 7y = 384

By substitution,

3x + 7(5x + 6) = 384

38x = 342

x = 9

So y = 5(9) + 6 = 51

Hence "The number of 18 inches of wreaths sold was 9 while 22 inches were 51".

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The given question is incorrect, the correct question is ;

A store sells two sizes of fresh wreaths. An 18-inch wreath costs $15, and a 22-inch wreath costs $35. In one day, the number of 22-inch wreaths sold was six more than five times the number of 18-inch wreaths, for a total of $1920. How many of each were sold? .... The number of 18-inch wreaths sold was and the number of 22-inch wreaths sold was

Solve the inequality. Graph the solution set. 26 + 6b 2(3b + 4)

Answers

we have

[tex]26 + 6b\geq2(3b + 4)[/tex]

Applying the distributive property on the right side

[tex]26 + 6b\geq6b+8[/tex]

subtract [tex]6b[/tex] from both sides

[tex]26\geq 8[/tex] -------> is true

for all real numbers the inequality is true

therefore

the graph is a shaded area everywhere.

the answer is

the solution is all real numbers

The solution is all real numbers.

It is required to find the solution.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

Applying the distributive property on the right side

26+6b≥6b+8

Then subtract 6b from both sides we get,

26≥8

For all real numbers the inequality is true.

Therefore, the solution is all real numbers.

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If GH is the angle bisector of FGI, which statement about the angle is true

Answers

Final answer:

The angle bisector of a given angle divides it into two equal parts. If GH is the angle bisector of FGI, angle FGH and angle HGI will be equal.

Explanation:

If GH is the angle bisector of FGI, it means that it splits the angle FGI into two equal parts. Hence the angles FGH and HGI are equal.

For example, if angle FGI is 60 degrees, then the angle FGH and HGI (formed as a result of the bisector) would each be 30 degrees because the bisector divides the 60 degrees into two equal parts. This is the fundamental concept of an angle bisector in geometry.

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The product of twice a number and three three is the same as the difference of five five times the number and three fourths 3 4. find the number.

Answers

Let the number be x.

Given,

[tex]2x*3 = 5x - \frac{3}{4} [/tex]

[tex]6x = 5x - \frac{3}{4} [/tex]

[tex]x = - \frac{3}{4} [/tex]

Solution of this equation

Answers

2.5y + 3x = 27
5x - 2.5y = 5

Align the variables to make solving this easier.

2.5y + 3x = 27
-2.5y + 5x = 5

You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.

3x = 27
5x = 5

8x = 32

Divide both sides by 8.

x = 4

Now input that x into one of the equations to get y.

2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6

The answer to this system of equations is x = 4, y = 6. (4, 6)

A man can run a mile in 4 minutes. calculate his average speed in kilometers per hour. show your work. (1 mile = 1.61 km)

Answers

1 mile =1.61km

60 minutes per hour

60/4 = 15 ( he can run 15 miles in one hour)

15 x 1.61 = 24.15 km per hour

round your answer if needed

Final answer:

The man's average speed in kilometers per hour is calculated by first converting the distance the man runs to kilometers, based on the 1 mile equals 1.61 kilometers conversion factor, and then converting time to hours, based on the 60 minutes in 1 hour conversion factor. The calculated speed is approximately 24.04 kilometers per hour.

Explanation:

The man runs a mile in 4 minutes. Given that 1 mile equals 1.61 kilometers, we can first change the distance the man runs into kilometers: 1 mile * 1.61 km/mile = 1.61 km. Thus, the man's speed is 1.61 km per 4 minutes.

To convert this speed into kilometers per hour, we need to convert the time from minutes to hours. We know that 1 hour is equivalent to 60 minutes, so 4 minutes is equivalent to 4/60 = 0.067 hours. Therefore, the man's average speed in kilometers per hour is 1.61 km divided by 0.067 hours, which equals about 24.04 km/hr.

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a line perpendicular to a plane, would intersect the plane at one what

Answers

If by this you mean perpendicular bisectors, then they would intersect at one point.

A line perpendicular to a plane, would intersect the plane at one point.

Perpendicular lines

When a line is perpendicular directly away from the plane, the line will tend to intersect the plane at one points or single points.

The reason why the line intersect the plane is because the line cannot point to other places except directly away from the plane.

Therefore a line perpendicular to a plane, would intersect the plane at one point.

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What is the value of b in the equation below?

Answers

when dividing subtract the powers

so you would do 6-2 = 4

so b = 4

Answer:

The value of b is 4.

Step-by-step explanation:

The given equation is

[tex]\frac{5^6}{5^2}=a^b[/tex]

According to the property of exponent,

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Using this property of exponent, the given equation can be written as

[tex]5^{6-2}=a^b[/tex]

[tex]5^{4}=a^b[/tex]

On comparing both the sides, we get

[tex]a=5,b=4[/tex]

Therefore the value of b is 4.

Help with math!!!!!!

Answers

f(-1.5) means "the output of the function when the input is x = -1.5"

Look at the piecewise function to see where x = -1.5 would fit in. For this particular function, it fits in with the first piece where it says [tex]-2.5 \ \textless \ x \le -1.5 [/tex] The rule there is simply a "-2" meaning that whatever teh input is for that piece, the output is -2

Therefore, f(-1.5) = -2

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

The next answer is f(0.1) = 0

The reason why is because 0.1 fits in with the third piece. The value 0.1 is between -0.5 and 0.5

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

Finally, x = 0.5 makes the last inequality restriction true. So therefore, f(0.5) = 1

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

The three answers are
-2, 0, 1
in that exact order

Solve 4a+3=11 plz step by step

Answers

Hi,

Again, we want to work on isolating the variable a. Let's start doing this by first getting rid of the 3.

We must do the inverse of the operation, which in this case will be subtraction since the 3 is positive. Also, always remember that when we do something on one side of the equation, we must do it on the other.

4a + 3 - 3 = 11 - 3

4a = 8

Since the 4 is multiplying our variable a, this means the inverse of the operation will be division. To fully isolate a by getting rid of the 4, we will divide by 4 on both sides.

4a / 4 = 8 / 4

a = 2

Hopefully, this helps.

The value of solution of expression is, a = 2

We have to give that,

An expression to simplify,

4a + 3 = 11

Now, Simplify the expression by combining like terms as,

4a + 3 = 11

Subtract 3 on both sides,

4a + 3 - 3 = 11 - 3

4a = 8

Divide 4 into both sides,

a = 8/4

a = 2

Therefore, the solution is, a = 2

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The function f(x) = 5x is an exponential function true or false

Answers

False f(x)=5x is just a straight line, not dramatic changes in the graph

the answer is it is false it is not an exponential function for an exponential function it has to be squared not timesed can i get branielst

Factor the expression.

Answers

(x+2)(x+1)

The values should add to the b value and multiply to the c value.
Check:
2+1=3
2*1=2

What is the value of 64? 60 = 1 61 = 6 62 = 36 63 = 216

Answers

Every number gets multiplied by 6...
So the answer is...

ANSWER = 64 = 1296

60 = 1
61 = 6
62 = 36
63 = 216

You first need to find a pattern.
Each previous number is being multiplied by 6.

216*6 = 1296

64 = 1296

Use the following graph of the function f(x) = 2x^3 + x^2 - 3x + 1
What is the average rate of change from x = -1 to x = 1

A) -1

B) 1

C) 2

D) 4

Answers

Average change = change in y / change in x! That easy!

change in y= (1-3)=-2
change in x= 1-(-1) = 2

Average change= -1! So, (A)

what is the reciprocal of 0.25

Answers

The Reciprocal Of 0.25 Is 4

the answer would be 4

Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same time and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart

Answers

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

We know that the formula for distance is:

distance = velocity * time

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

Therefore Scott needs to travel for 2 hours.

Which of the following statements is true regarding the relationship between circles and triangles? A. There are many circles that can be circumscribed about a triangle. B. There are many triangles that can be inscribed in a given circle. C. There is only one unique triangle that can be inscribed in a given circle. D. There are many triangles that can be circumscribed about a given circle.

Answers

Its worth trying drawing circles and triangles to find the correct one.

If you do you'll find that the answer is B.

The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.

A circle can be characterized by its center's location and its radius's length.

How to make an inscribed circle in a triangle?

There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some.

But usually, (for the angle bisector and perpendiculars), we do the following:

Divide one of the angles in half. Divide another angle in half.

The incenter, or point where they cross, is the inscribed circle's centre.

Construct a perpendicular from the triangle's centre point to one of its sides.

Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.

The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.

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Find the ratio of 12:7

Answers

There are a lot of ratios you can find for 12:7

12:7 can equal 24:14 (multiply both by 2) 36:21 (multiply both by 3) etc etc

hope this helps

We had to multiply by two find out the ratio to this problem... Here's what I meant⬇️
12 (2) = 24
7(2) = 14

So, your answer would mostly likely be; 24:14

Good luck on your assignment
And enjoy your day! :)

~MeIsKaitlyn :)

The area of a book cover is 63.8 in². The width of the book is the difference of the length and 3 inches. Let x represent the book's length. Which quadratic equation represents the area of the book cover?
x(x - 3) = 63.8
x(3 - x) = 63.8
2x - 3 = 63.8
x + x - 3 = 63.8

Answers

In this item, we are already given that the length of the rectangular book can be represented by the variable x. In this way, the width, which was described to be the difference of the length and 3 inches, can be expressed as x - 3.

The area of the triangle is rectangle is calculated by multiplying the length, x, and the width, which was derived to be x - 3.

Area = Length x width
Area = (x)( x - 3)

Putting in the value of the area, we have the final answer as,
x(x - 3) = 63.8 in²

Hence, the final answer is the first answer.

The correct quadratic equation representing the area of the book cover is [tex]$ x(x - 3) = 63.8 $[/tex].

To understand why this is the correct equation, let's break down the information given in the question:

1. The area of the book cover is given as 63.8 square inches.

2. The width of the book is the difference between the length and 3 inches. If we let [tex]$ x $[/tex] represent the length of the book, then the width can be represented as [tex]$ x - 3 $[/tex].

3. The area of a rectangle (which is the shape of the book cover) is calculated by multiplying its length by its width.

Using the information above, we can set up the equation for the area of the book cover as follows:

[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]

[tex]\[ 63.8 = x \times (x - 3) \][/tex]

Expanding the right side of the equation, we get:

[tex]\[ 63.8 = x^2 - 3x \][/tex]

This is a quadratic equation in standard form. The other options given do not correctly represent the relationship between the length, width, and area of the book cover:

[tex]- $ x(3 - x) = 63.8 $[/tex] incorrectly represents the width as [tex]$ 3 - x $[/tex] instead of [tex]$ x - 3 $[/tex].

[tex]- $ 2x - 3 = 63.8 $[/tex] is a linear equation, not a quadratic one, and does not represent the area calculation.

[tex]- $ x + x - 3 = 63.8 $[/tex] simplifies to [tex]$ 2x - 3 = 63.8 $[/tex], which is also a linear equation and does not represent the area calculation.

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1? 1, –0.25, –1.5, –2.75, –4, . . . 1, 2.25, 3.5, 4.75, 6, . . . 4, 2.75, 1.5, 0.25, –1, . . . 4, 5.25, 6.5, 7.75, 8, . . .

Answers

Answer:

[tex]4,2.75,1.5,0.25......[/tex]

Step-by-step explanation:

f (1) = 4, [tex]f (n + 1) = f (n) - 1.25[/tex]

To get the sequence we start with n=1

Plug in n=1 in the formula

[tex]f (n + 1) = f (n) - 1.25[/tex]

[tex]f (1 + 1) = f (1) - 1.25[/tex]

[tex]f (2) = f (1) - 1.25[/tex], replace f(1)=4

[tex]f (2) = 4 - 1.25=2.75[/tex]

n=2

[tex]f (2 + 1) = f (2) - 1.25[/tex]

[tex]f (3) = f (2) - 1.25[/tex], replace f(2)=2.75

[tex]f (3) = 2.75 - 1.25=1.5[/tex]

n=3

[tex]f (3 + 1) = f (3) - 1.25[/tex]

[tex]f (4) = f (3) - 1.25[/tex], replace f(3)=1.5

[tex]f (4) = 1.5 - 1.25=0.25[/tex]

Sequence is [tex]4,2.75,1.5,0.25......[/tex]

Answer:

4, 2.75, 1.5, 0.25, –1

Step-by-step explanation:

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