If cx - d = f, what is an equivalent equation solved for X?

Hey there!

The formula is: y₂ - y₁ / x₂ - x₁

y₂ = 22

y₁ = 21

x₂ = 6

x₁ = 5

Your equation: 22 - 21 / 6 - 5

22 - 21 = 1 ← numerator (TOP number)

6 - 5 = 1 ← denominator (BOTTOM number)

We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1

(or you can simply 1 because 1 ÷ 1 gives you 1)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Dvfgghytjyjt

Step-by-step explanation:

Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

Answer:

0.2x+1???

Step-by-step explanation:

2x/3x+1=-3

-3=2x/3x+1

-3 x 3x + 1

-9x + 1

2x/-9x+1

0.2x+1

To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Step-by-step explanation:

access to one as to which the two was to wisdom 100 as wisdom teeth is my dream wall

See below for the closure of polynomial under subtraction

From the question, we have the following parameters that can be used in our computation:

(4x2 − 8x − 7) − (3x2 − 5x + 16)

To show that polynomials are closed under subtraction, we need to demonstrate that the result of subtracting two polynomials is still a polynomial.

In this case, we have

(4x^2 − 8x − 7) − (3x^2 − 5x + 16) = x^2 − 3x − 23

Since x^2 − 3x − 23 is also a polynomial, we have shown that polynomials are closed under subtraction.

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Answer:

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

\(a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}\)

\(a \approx 3.317\)

\(b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}\)

\(b \approx 5.745\)

\(c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}\)

\(c \approx 3.742\)

Now, we can use the following formula to fid the area of the triangle (\(A\)), measured in square units:

\(A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where:

\(s\) - Semiperimeter of the triangle, dimensionless.

\(a\), \(b\), \(c\) - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

\(s = \frac{a+b+c}{2}\)

If we know that \(a \approx 3.317\), \(b \approx 5.745\) and \(c \approx 3.742\), the area of the triangle is:

\(s = \frac{3.317+5.745+3.742}{2}\)

\(s = 6.402\)

\(A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}\)

\(A \approx 5.875\)

The area of the triangle is 5.875 square units.

Using the rate, the number of book Mason reads per month is 2 books.

Mason read 4 books in 2 months. Mason reads at a constant rate. The number of books he reads each month can be calculated as follows;

The number of books he reads is at a constant rate. The rate formula can be used to find the number of book Mason read each month.

rate = number of books read / number of month

Therefore,

number of books read = 4 books

number of month = 2 month

Hence,

rate  = 4 / 2

rate = 2 books per month

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Answer:

6i and -6i

Step-by-step explanation:

since its a negative then you have to remember to add a i

Answer:

6i

Step-by-step explanation:

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

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Problem 40

We're approaching x = 1 from the right side or the positive side. This means we start with a value like x = 1.5 and move closer to x = 1

Since 1.5 is larger than 1, we use the rule that goes with x > 1 which is the second part of the piecewise f(x) function.

Quite simply, we plug x = 1 into the second piece to get

f(x) = 3x-1

f(1) = 3(1)-1

f(1) = 2

As x approaches 1 from the right, we have the limit of f(x) approach 2 from above.

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

Problem 41

This time we're approaching from the left, or the negative side

So we could start with something like x = 0 and get closer to x = 1

We'll go with the rule that has x ≤ 1 this time.

f(x) = x^2+1

f(1) = 1^2+1

f(1) = 2

In this case, both pieces produce the same output when plugging in x = 1. Therefore, the function is continuous at x = 1

Answer:

They would have to do 407 such checks.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Kroll, Inc., a firm that specializes in investigating such matters, said that they believe as many as 25% of back ground checks might reveal false information.

This means that \(\pi = 0.25\)

98% confidence level

So \(\alpha = 0.02\), z is the value of Z that has a p-value of \(1 - \frac{0.02}{2} = 0.99\), so \(Z = 2.327\).

How many such random checks would they have to do to esti mate the true percentage of people who misrepresent their backgrounds to within ±5% with 98% confidence?

This is n for which M = 0.05. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 2.327\sqrt{\frac{0.25*0.75}{n}}\)

\(0.05\sqrt{n} = 2.327\sqrt{0.25*0.75}\)

\(\sqrt{n} = \frac{2.327\sqrt{0.25*0.75}}{0.05}\)

\((\sqrt{n})^2 = (\frac{2.327\sqrt{0.25*0.75}}{0.05})^2\)

\(n = 406.12\)

Rounding up:

They would have to do 407 such checks.

Answer:

16π + 64

Step-by-step explanation:

So the whole circumference is 64π

A quarter is 16π

Then you just have to account for the two radii.

16π + 64

Answer:

C≈201.06

16π + 64

Step-by-step explanation:

Radius: 32mm.

Solved for perimeter

Shape: Circle.

The correct answer to this question is C≈201.06.

You asked for 16π + 64.

Hope this helps.

The true statements are; b. The growth value of the function is One-third. c. The function shows exponential decay. d. The function is a stretch of the function.  \(f(x) = \frac{1}{3} ^x\)

The general form of the exponential function;

\(f(x) = a b ^x\)

where "a" is the initial amount and "b" is the growth factor

The given exponential function

\(f(x) = 3(\frac{1}{3} )^x\)

here,

The initial value is 3

The growth factor is 1/3

The growth factor is less than 1

Therefore,  f(x) is exponential decay function.

The true statements are;

b. The growth value of the function is One-third.

c. The function shows exponential decay.

d. The function is a stretch of the function.  \(f(x) = \frac{1}{3} ^x\)

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Answer: B C D

Step-by-step explanation:

n

After 1 seconds, the speed of the ball's shadow along the ground is equal to 150 ft/s.

Assuming the ball falls a distance given by this expression:

S = 16t²

Also, the height (h) of shadow of the ball 1 sec​ later is given by:

h = 30 - S

Next, we would derive an expression for the ball's shadow:

OX/30 = (20 + XQ)/30 = XQ/h

30XQ = 20h + hXQ

20h = 30XQ - hXQ

20h = (30 - h)XQ

XQ = 20h/(30 - h)

Substituting the value of h, we have:

XQ = 20(30 - S)/(30 - 30 - S)

Substituting the value of S, we have:

XQ = 20(30 - 16t²)/(30 - 30 - 16t²)

XQ = 20(30 - 16t²)/16t²

XQ = (600 - 320t²)/16t²

XQ = 600/16t² - 320t²/16t²

XQ = 600/16t² - 20

Differentiating wrt t, we have:

d(XQ)/dt = 600/16t² - 20

d(XQ)/dt = 600 (-64t/(16t²)²)

d(XQ)/dt = 600 (-64t/256t⁴)

d(XQ)/dt = 600 (-0.5/2t³)

d(XQ)/dt = -300/2t³

At t = 1, we have:

Speed = 300/2(1)

Speed = 150 ft/s.

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How you get the answer is adding all of the percents together. (100-10=90-12=79.2-23=56.2-5=51.2)

So if there were 100 applicants let’s say, 10% of 100 is 90 so 10 applicants did not meet the business requirements leaving 90. Then about 11 (10.8 exactly) people did not pass the pre-screening assessment. Leaving 79 people, 23% of the 79 people actually didn’t show up for the interview, and 23% of 79 is around 18 and 79-18= 61. Then 5% of the 61 did not pass the background investigation, which is 4 (3.5) 61-4=57, so 57 applicants were left. The company only needs 30 people to hire so automatically you know 100 applicants who applied for the job is too many, use the numbers I gave you and use the same concept to find the exact answer.

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Answer:

47.1 cm

Step-by-step explanation:

The circumference of a circle is denoted by C = 2πr, where r is the radius.

Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:

C = 2πr

C = 2 * 3.14 * 7.5 = 47.1

To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.

Thus, the circumference is 47.1 cm.

Answer:

y=-4x+14

Step-by-step explanation:

A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)

Answer:

The combined weight is 13 31/40.

Step-by-step explanation:

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.