When dividing 5 by 4, is a answer a rational number explain

Answer:

  x = -8/7

Step-by-step explanation:

You want the zero(s) of the rational expression (7x²+29x+24) /(5x²+ 19x+12).

The zeros will be the values of x that make the numerator of the simplified form of the expression be zero.

  \(\dfrac{7x^2+29x+24}{5x^2+19x+12}=\dfrac{(x+3)(7x+8)}{(x+3)(5x+4)}=\dfrac{7x+8}{5x+4}\)

This is zero when ...

  7x +8 = 0

  x = -8/7 . . . . . . . subtract 8, divide by 7

The zero of the rational expression is x = -8/7.

<95141404393>

Answer:

x > 7

Step-by-step explanation:

If you look at the changes in degrees, you will see it get bigger on the bottom! That means the 7 will become smaller! Your Welcome!

Answer:

the answer is B bro

Step-by-step explanation:

Answer:

yes i can help you with all the time

Assuming that the events of each executive receiving a pay raise are independent, we can use the multiplication rule for independent events to find the probability that all four received a raise.

Let's denote the event that an executive receives a raise by "R". Then, the probability that an executive receives a raise is P(R) = 0.78, and the probability that an executive does not receive a raise is P(not R) = 1 - P(R) = 0.22.

The probability that all four executives receive a raise is:

P(R and R and R and R) = P(R) x P(R) x P(R) x P(R)

= 0.78 x 0.78 x 0.78 x 0.78

= 0.37 or 0.0037 (rounded to 4 decimal places)

Therefore, the probability that all four executives received a raise when they asked for one is approximately 0.0037 or 0.37%.

To learn more about probability refer below:

https://brainly.com/question/32004014

#SPJ11

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

happy to help ya :)

The parabola with equation y=ax^2+bx whose tangent line at (1, 1) has equation y=4x-3; y = 3x^2 - 2x

The tangent line at (1, 1) has equation y = 4x - 3, which means that the slope of the tangent line at that point is 4. We know that the derivative of y = ax^2 + bx is y' = 2ax + b, which gives us the slope of the tangent line at any point on the parabola. So, we can set 2ax + b equal to 4 (the slope of the tangent line) and substitute x = 1 and y = 1 (the point on the tangent line and parabola, respectively).
2a(1) + b = 4
a(1)^2 + b(1) = 1
Simplifying the second equation, we get b = 1 - a. Substituting this into the first equation and simplifying, we get:
2a + 1 - a = 4
a = 3
Therefore, b = 1 - a = -2. The equation of the parabola is y = 3x^2 - 2.
To find the parabola with equation y = ax^2 + bx whose tangent line at (1, 1) has the equation y = 4x - 3, we will first determine the values of a and b.
Since the tangent line touches the parabola at (1, 1), we can substitute these values into both the parabola and tangent line equations:
1 = a(1)^2 + b(1) (Parabola equation)
1 = 4(1) - 3 (Tangent line equation)
From the tangent line equation, we see that it is already satisfied. Now we need to find the derivative of the parabola equation with respect to x to find the slope of the tangent line:
dy/dx = 2ax + b
At the point (1, 1), the slope of the tangent line is equal to the slope of the parabola:
4 = 2a(1) + b
We already know from the parabola equation that:
1 = a + b
Now, we have a system of linear equations:
4 = 2a + b
1 = a + b
Solving the system, we find that a = 3 and b = -2. Therefore, the equation of the parabola is:
y = 3x^2 - 2x

To learn more about parabola, click here:

brainly.com/question/31142122

#SPJ11

Answer:

y = \(2^{x}\)

Step-by-step explanation:

Answer:

m= 1, n = -4

Explanation:

Given the simultaneous equation

3m + 4n = -13 ...1 * 5

5m + 6n = -19....2 * 3

_______________________

15m + 20n = -65

15m + 18n = -57

Subtract the resulting equation:

20n - 18n = -65-(-57)

2n = -65+57

2n = -8

n = -8/2

n = -4

Substitute n = -4 into equation 1;

From1:

3m + 4n = -13

3m + 4(-4) = -13

3m - 16 = -13

3m = -13 + 16

3m = 3

m = 3/3

m = 1

Hence the value of m is 1

The solution to the system of equation (m, n) is (1, -4)

Answer:C

Step-by-step explanation:

To find the product of 6x and [4-21 730], we need to simplify the expression first.

To simplify, we perform the subtraction first and then multiply.  

So, [4-21 730] can be simplified as follows: [4-21 730] = 4 - 21730 = -21726  

Now, we can find the product of 6x and -21726 as follows: 6x(-21726) = -130356  

Therefore, the product of 6x and [4-21 730] is -130356.

Answer:

9 minutes

Step-by-step explanation:

The amount of time t that it takes to put out a fire varies inversely with the volume of water used, G

t = k/G

Where,

k = constant

When G is 3, t is 15

t = k/G

15 = k/3

Cross product

15 * 3 = k

k = 45

Find t when G = 5

t = k/G

t = 45/5

t = 9 minutes

The expression for his total earnings can be derived by multiplying the number of tutoring hours by the tutoring rate and adding it to the product of the number of waiter hours and the waiter rate.

Let's assume the hourly rate for Ravi's tutoring job is "t" dollars and the hourly rate for his waiter job is "w" dollars.

Since Ravi worked as a tutor for "x" hours this month, he earned a total of x * t dollars from his tutoring job.

Similarly, as he worked as a waiter for 1 hour each day this month, he earned a total of 1 * w dollars from his waiter job.

To calculate the combined total dollar amount he earned this month, we can express it as x * t + 1 * w, which represents the earnings from his tutoring job plus the earnings from his waiter job.

This expression provides the total dollar amount Ravi earned based on the given hourly rates and the number of tutoring hours.

To learn more about tutoring rate click here: brainly.com/question/29289802

#SPJ11

Answer:

(-2/5, 11/5)

Step-by-step explanation:

We can use the formula for finding a point that divides a line segment into a given ratio. Let P be the point on the line segment QR that partitions it in the ratio 2:3. Then we have:

P = ( (3x2 + 2x1)/(3+2), (3y2 + 2y1)/(3+2) )

where (x1, y1) = (-8, -8) is the coordinates of Q and (x2, y2) = (2, 7) is the coordinates of R.

Substituting the values, we get:

P = ( (32 + 2(-8))/(3+2), (37 + 2(-8))/(3+2) )

P = ( (-2/5), (11/5) )

Therefore, the coordinates of the point P on the directed line segment QR that partitions it in the ratio 2:3 are (-2/5, 11/5).

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

Answer:

c

Step-by-step explanation:

Considering the data in the table, it is found that:

a) The scatter plot is given by the image at the end of the answer.

b) The correlation of the scatter plot is negative, as when the input increases the output decreases.

c) The estimate for the depth at 15 seconds is of 50.37 cm.

The scatter plot is built inserting all the points in the table, which are in the following format:

(Time, Depth).

Hence the points are given as follows:

(2, 47), (4, 41), (6, 38), (8, 37), (10, 32), (12, 24), (14, 20), (16, 19).

From both the table and the scatter plot given by the image at the end of the answer, as the input increases, the output decreases, hence the scatter plot has a negative correlation.

To make a prediction for a given input, the line of best fit has to be constructed using these points.

Inserting these points into a linear regression calculator, the line of best fit is:

y = -2.07x + 50.89.

At a time of 15 seconds = 0.25 minutes, the depth will be of:

y = -2.07 x 0.25 + 50.89 = 50.37 cm.

More can be learned about scatter plots at https://brainly.com/question/6592115

#SPJ1

Answer:

2B/( h-q)=a

Step-by-step explanation:

2B=ha-qa

Factor out an a

2B=a(h-q)

Divide each side by ( h-q)

2B/( h-q)=a(h-q)/( h-q)

2B/( h-q)=a

Answer:

a = \(\frac{2B}{h-q}\)

Step-by-step explanation:

Given

2B = ha - qa ← factor out a from each term

2B = a(h - q) ← divide both sides by (h - q)

\(\frac{2B}{h-q}\) = a

The value of k is 90.

The other factor of g(x) is, (x + 5)(x - 3)(x + 3)

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given the function,

g(x) = x⁴ + 3x³ - 19x² - 27x + k

and  (x - 2) a factor of g(x)

so g(2) = 0

g(x) = x⁴ + 3x³ - 19x² - 27x + k

g(2) = 2⁴ + 3(2)³ - 19(2)² - 27(2) + k

2⁴ + 3(2)³ - 19(2)² - 27(2) + k = 0

16 + 24 - 76 - 54 + k = 0

k = 90

the function is g(x) = x⁴ + 3x³ - 19x² - 27x + 90

B: -5 is a zero of the function,

f(-5) = 0, or x = -5

so factor is (x + 5)

the two factors are (x + 5)(x - 2)

(x + 5)(x - 2) = x² + 5x - 2x -10

(x + 5)(x - 2) = x² + 3x - 10

to find the other two factors we need to divide the function by

x² + 3x - 10

=>  (x⁴ + 3x³ - 19x² - 27x + 90) ÷ (x² + 3x - 10)

quotient after division is

x² - 9 = (x - 3)(x + 3)

The factors of the function are (x - 2)(x + 5)(x - 3)(x + 3)

Hence k = 90, and

the three other factors of g(x) are (x + 5)(x - 3)(x + 3)

Learn more about polynomials;

https://brainly.com/question/11536910

#SPJ1

V=lwh

w=v/lh

BRINALIEST PLS HOPE this HELPS

Step-by-step explanation:

To find the times when the temperature of the water is 60 degrees or cooler, we need to solve the equation:

0.2x² - 6x + 79 = 60

Subtracting 60 from both sides, we get:

0.2x² - 6x + 19 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 0.2, b = -6, and c = 19.

Plugging in these values, we get:

x = (-(-6) ± sqrt((-6)² - 4(0.2)(19))) / 2(0.2)

x = (6 ± sqrt(16.4)) / 0.4

Simplifying, we get:

x = 9.9 or 3.6

or

x = 32.9 or 26.4

or

x = 39.9

These are the four times when the temperature of the water is 60 degrees or cooler. To find the time the scientist has to conduct her experiment, we need to take the difference between the two smallest times or the two largest times:

30 - 2.9 = 27.1

or

39.9 - 32.9 = 7

Therefore, the scientist has about 7 to 27.1 minutes to conduct her experiment, depending on which two times she chooses to use.

Therefore, to make the game fair, you should earn a profit of $3 when you win.

To determine the profit you should earn when you win in order for the game to be fair, we need to consider the overall expected value.

In this gambling game, you win 25% of the time and lose 75% of the time. Let's assume that when you win, you earn a profit of P dollars. When you lose, you lose $1.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Profit) + (Probability of Losing * Loss)

Since the game should be fair, the expected value should equal zero. Thus, we can set up the equation:

0 = (0.25 * P) + (0.75 * (-1))

Simplifying the equation:

0 = 0.25P - 0.75

0.75 = 0.25P

P = 0.75 / 0.25

P = 3

To know more about profit,

https://brainly.com/question/22210258

#SPJ11

Answer:

Put parentheses around the binomial and then expand it, and then use foil

Step-by-step explanation:

Let's say I have the binomial x+y.

(x+y)^2

(x+y)(x+y)

x^2+xy+xy+y^2

x^2+y^2+2xy

Answer:

Step-by-step explanation:

standard form=8.909*10⁻²

Answer:

$0.54 × 527

= $300.39

He is paid a total of $300.39

Step-by-step explanation:

he is being paid 0.54 dollars per mile and there are 527 miles which means we have multiply thermometer of miles driven by the amount he is being paid for one mile

ur calculation should be

0.54 × 537

this gives u 300.39

Answer:

The anwser is 6.01176470588

The given points are (1,3) and (2,6).

The pre-image is (1,3) and the image is (2,6).

As you can observe, the image is double than the pre-image, this means the transformation used was a dilation with a scale factor of 2, the rule is

Therefore, the probability that a person with blue hair isn't invited is 49/50 or approximately 0.98.

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. In other words, probability represents the proportion of times an event is expected to occur in a large number of repetitions of the same situation. For example, the probability of rolling a six on a fair six-sided die is 1/6, since there is one favorable outcome out of six possible outcomes.

Here,

Assuming that the invitation is randomly given to one of the 50 friends, the probability that a person with blue hair isn't invited can be found as follows:

Let B be the event that a friend has blue hair, and let I be the event that the friend is not invited. Then, we need to find the probability of the event not(B ∩ I), which represents the event that a person with blue hair isn't invited.

We can use the formula for conditional probability to express this as:

P(not(B ∩ I)) = P(not(I) | B) * P(B)

where P(B) is the probability of a friend having blue hair, and P(not(I) | B) is the conditional probability of not being invited given that the friend has blue hair.

From the given information, we know that there are 12 friends with blue hair out of 50 total friends. Therefore, P(B) = 12/50.

To find P(not(I) | B), we need to know the number of friends with blue hair who are not invited. This number is not given, so we have to make an assumption.

If we assume that the invitation is given randomly without any bias towards or against friends with blue hair, then the probability of a friend with blue hair not being invited is the same as the probability of any friend not being invited, which is:

P(not(I)) = 1 - P(I) = 1 - 1/50 = 49/50

Then, the conditional probability we need is:

P(not(I) | B) = P(not(I) ∩ B) / P(B)

P(not(I) | B) = P(not(I)) / P(B)

P(not(I) | B) = (49/50) / (12/50)

P(not(I) | B) = 49/12

Now we can substitute these values into the formula for P(not(B ∩ I)):

P(not(B ∩ I)) = P(not(I) | B) * P(B)

P(not(B ∩ I)) = (49/12) * (12/50)

P(not(B ∩ I)) = 49/50

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

Learn more about multiplication -

https://brainly.com/question/10873737

#SPJ4

Answer:I got the answer correct because i have to take the test

Step-by-step explanation:

The relation between the area and the circumference is given by:

"The area is 1/2 times the radius times the circumference".

We know that for a circle of radius R we have:

If you take the quotient between the area and the circumference, you get:

A/P = (pi*R^2)/(2*pi*R) = R/2

So the area is R/2 times the circumference, or, using the terms given in the list:

"This means that the area is 1/2 times the radius times the circumference"

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  4

Step-by-step explanation:

Hope this helps! Have an excellent day!

Answer:

x=4

Step-by-step explanation:

In order to cancel -16 you need teh opposite and 4*4 is 16 so the answer is x=4

Answer:

The answer is x=15/4

Step-by-step explanation:

8x - 3 = 16x - 33

8x−3−16x=16x−33−16x

−8x−3=−33

−8x−3+3=−33+3

−8x=−30

−8x/-8=−30/-8

x=15/4

The value of the x for the equation 8x-3=16x-33 is 3.75.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

8x-3=16x-33

Simplify the equation,

⇒33-3 = 16x-8x

⇒30 = 8x

⇒8x = 30

⇒x = 3.75

The value of x is 3.75.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2