Find the x-intercept of the line 5x + 17y = -25



x - intercept =



Find the y-intercept of the line 6x - 7y = -21





y - intercept =

True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.

The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.

The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.

Learn more about linear programming at

https://brainly.com/question/30763902

#SPJ4

The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

Parallel lines are those that never intersect. As a result, two parallel lines must have the same slope but different intercepts (if they had the same intercepts, they would be identical lines).

The equation of the line is 6x+3y=-12.

6x+3y=-12​

3y =-12-6x

y = -2x-4    

The slope of this line is -2.

Because parallel lines have the same slope, the new line will also have a slope of -2.

You now have a point (5,-3) and a slope; thus, use the Point-Slope form to solve the equation of a line.

y-y₁= m(x-x₁)

y+3 = -2(x -5)

y+3 = -2x+10

y =-2x+7

The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.

To know more about equation of parallel lines, visit:

https://brainly.com/question/402319

#SPJ9

On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

To know more on absolute value graphs

https://brainly.com/question/14364803

#SPJ4

Answer:

B

Step-by-step explanation:

Draw a line from the top of the 3 m line to the 10 m line so that the new line meets the the 10 meter line at right angles. The part you are interested in should be 4 meters long.

Top rectangle.

Area = L * W

L = 7  (10 - 3 = 7)

W = 4

Area = 4* 7 =                                       28

Bottom rectangle

Area = L * W

L = 12

W = 3

Area = 12 * 3                                      36

Total Area                                          64

Answer:

D) 8x²-172x+120

Step-by-step explanation:

Length=2(-2x+20)+6

Width=-2x+20

(-4x+40+6)(-2x+20)

(-4x+46)(-2x+20)

8x²-80x-92x+920

8x²-172x+920

The relationship between the asymptotic curvatures of a curve can be expressed as u+v=const and u-v=const. These equations describe the constant sum and difference of the two curvatures, respectively.

In differential geometry, the curvature of a curve measures how much the curve deviates from being a straight line. The curvature at a point on the curve is determined by the rate at which the tangent vector changes as we move along the curve. There are different types of curvatures that can be associated with a curve, and two of them are the asymptotic curvatures, denoted as u and v.

The asymptotic curvatures are related to the principal curvatures, which are the maximum and minimum curvatures at a point. For a given curve, the principal curvatures u and v satisfy the equation u*v = k, where k is the Gauss curvature of the surface containing the curve.

In the case of asymptotic curvatures, the relationship can be expressed as u+v=const and u-v=const. These equations indicate that the sum of the two curvatures and their difference remain constant along the curve. This means that as we move along the curve, the sum and difference of the asymptotic curvatures do not change.

To learn more about differential geometry click here : brainly.com/question/32093612

#SPJ11

The statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A

From the information given, we have that;

The linear equation is ;

-2x + 3 = 6

Let's solve for x

First, collect like terms

-2x = 6 - 3

-2x = 3

Divide both sides by - 2

x = 3/ -2

The linear inequality is;

-2x + 3 < 6

collect like terms

-2x < 6 - 3

Make 'x' the subject by dividing both sides by -2

-2x/ -2 = 3/ -2

x = 3/ -2

We can see that the linear equation and the linear inequality have the same solution and steps.

Thus, the statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A

Learn more about linear equations here:

https://brainly.com/question/4074386

#SPJ1

Answer:

18/12

Step-by-step explanation:

18- rise

12- run

Answer:

Step-by-step explanation:

Let y be the distance the car travels, in miles.  Let t be the time traveled, in hours.  The speed is 45 m/h.  We know that the distance the car travels is given by the equation:

Distance = (speed)*(time)

Using the assigned variables, we can rewrite this as:

   d(t)  = (45 m/h)(t hours)

We want an equation that will tell us the position of the car, y, at any time, t, including t = 0, the start.  

d(t) = ?

At time = 0, the starting point of the car is P.  We can write:

d(0) = P

For x\(\geq\)0, we would find the car at:

     d(t) = P + (45)*t

The 45 is in units of miles/hour,  t is in hours and d is in miles.  Let's assume an intital position, P, for this car to be 10 miles.  P = 10 miles.

The function is:  d(t) = 10 + (45)*t

If we leave the units in, it can be written as:  d(t) = (10 miles) + (45 miles/hr)*t(in hr)

We can see that the term "(45 miles/hr)*t(in hr)" will eventually reduce to just miles one we enter the time in hours, since the hours cancel out.

The graph of this function is attached.   The line crosses the y axis at 10 (miles) when time, t, is 0 : the car has not started.  

The slope of the graph can be determined by calculating the Rise/Run of the line.  Pick any two points.  I'll choose:  (2,100) and (4,190).

 Rise (change in y) is (190-100) = 90

 Run (change in x) is (4 - 2) = 2

Slope = Rise/Run = (90/2) or 45.

The slope has the same value as the speed, as it should.  The slope is telling us the rate of change, which for this graph, is the speed of the car.  The y-intersect is (0, 10).  The car is at 10 miles at the start (t=0).

To create a scenario where could have a negative value requires some imagination.  There is really no such thing as negative time, except in time travel movies.  But we can define t, perhaps, as the start of a race.  (High noon, for example).  If the cars were allowed to start moving before noon as long as they started back (negative direction) from the starting point of the race.  If t is defined as "hours after 12:00 noon" then a value of t = -1  means 11:00 AM.  If the car were approaching the staring line at 45 miles/hour, ahread of the official start time, the graph would make sense.  Not the race, so much, but the graph would be accurate.

Answer:

B

Step-by-step explanation:

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The following statement that correctly explains whether the two figures are congruent is that: since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.

What is congruence?

In geometry, congruent means identical in shape and size. Congruence can be applied to line segments, angles, and figures.

If somehow the matching sides of two components or figures have been of similar length and form, they are said to be congruent. They constitute congruent when one image or graphic entirely encompasses some other figure (both with and without rotations skills).

Whenever we turn or twist the above diagram clockwise by something like 90° ∠, it becomes exactly like the ones below.

Thus the answer above i.e., "Option 1" is appropriate.

To learn more congruence
https://brainly.com/question/20067198
#SPJ4

The plane travels 2500 miles in 5 hours. The solution has been obtained by using unitary method.

What is the unitary method?

Using the unitary technique, the value of each individual unit is first calculated, and then the value of the necessary number of units is determined.

We are given that an airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour.

Using unitary method,

The miles traveled in 1 hour = 125 * 4 = 500 miles

So, the miles traveled in 5 hours = 500 * 5 = 2500 miles

Hence, the plane travels 2500 miles in 5 hours.

Learn more about unitary method from the given link

https://brainly.com/question/28731562

#SPJ1

Question:  An airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour. How many miles does the plane travel in 5 hours?

Answer:

  1/5⁴ = 1/625

Step-by-step explanation:

You want the simplified form of 5⁴÷5⁸.

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

The given expression simplifies to ...

  \(5^4\div 5^8=\dfrac{5^4}{5^8}=5^{4-8}=\boxed{5^{-4}=\dfrac{1}{5^4}=\dfrac{1}{625}}\)

__

Additional comment

The exponential forms of the expression are equivalent. You need to decide which one your grader is looking for (or which is among your answer choices). The value of the expression is also shown. You don't need to know anything about exponents in order to evaluate the expression using a calculator.

An exponent indicates the number of times the base is a factor:

  5⁴ = 5·5·5·5 . . . . . . 5 is a factor 4 times

The usual rules of multiplication and division apply, so the given expression represents the division ...

  \(\dfrac{5\cdot5\cdot5\cdot5}{5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5}=\dfrac{1}{5\cdot5\cdot5\cdot5}=\dfrac{1}{5^4}\)

<95141404393>

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

\( \displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}\)

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

\( \displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)} \)

Now combine like terms.

\( \displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)} \)

Imaginary Unit

\( \displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 } \)

Therefore:-

\( \displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)} \)

Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

\( \displaystyle \large{- 10i+ 45 - (2 - 3i)} \\ \displaystyle \large{- 10i+ 45 - 2 + 3i} \)

Combine like terms.

\( \displaystyle \large{43 - 7i} \)

Could you possibly repost your question with a clear image?

The details on this image are unreadable and, therefore, make it difficult to help.

Will bookmark this question so I can find your new post if posted again.

The probability of obtaining three heads in a row when flipping a coin is 1/8 or 0.125.

Probability refers to the numerical descriptions that reflects the chance or likelihood that an event occurs. The probability of an event is always between 0 and 1, where 0 means impossibility of the event and 1 means certainty. Probability is calculated, in the simplest form, by dividing the chance of a specific outcome by the total number of outcomes.

When flipping a coin once, with two possible outcomes, the probability of getting a head is ½ or 0.5.

When coins are flipped in the row, the probability of getting three heads would be:

P=1/2*1/2*1/2=1/8 or 0.125.

Hence, the chances that three consecutive heads will be achieved in coin flips is 12.5%.

Note: Question is incomplete. Complete question is What is the probability of obtaining three heads in a row when flipping a coin? interpret this probability.

Learn more about Probability:

https://brainly.com/question/251701

#SPJ4

The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in a mathematical expression. An order of operations worksheet is a practice tool for students to test their understanding of the order of operations, and helps them develop their ability to solve mathematical expressions accurately and consistently.

Order of operations ensures that mathematical expressions are solved consistently and accurately. It typically consists of a series of mathematical expressions that the student must solve, following the order of operations. The order of operations is often remembered by the acronym "PEMDAS", which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The main purpose of an order of operations worksheet is to help students develop their understanding of the order of operations, so they can solve mathematical expressions accurately and consistently.

It's important to note that the order of operations is a fundamental concept in mathematics and is used in many other areas of mathematics, including algebra and calculus. Therefore, it's crucial that students master the order of operations early on in their mathematical studies. An order of operations worksheet can be a valuable tool for helping students do just that.

For more such questions on Order of Operations.

https://brainly.com/question/13079176#

#SPJ11

Answer:

x = 1  1/48

Step-by-step explanation:

6x/7 = 7/8

cross-multiply:

48x = 49

x = 49/48

x = 1 \(\frac{1}{48}\)

Answer:

X = 49/48

Step-by-step explanation:

I know that’s the answer because I did the math so it’s right, and a good night!

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

To know more about the factors affecting the demand for good X, refer here:

https://brainly.com/question/32566433#

#SPJ11

Answer:

60

Step-by-step explanation1

135 = 2x+15 => corresponding angles

2x= 135-15

2x= 120

x= 60

The problem presents a choice between receiving $22,000 in 20 years or $820 today. We are asked to determine the present value of $22,000 using a discount rate of 18 percent and determine which offer is more favorable. It would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years

a-1. To calculate the present value of $22,000, we can use the formula for present value (PV) which is given by PV = FV / (1 + r)^n, where FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.18)^20. Evaluating this expression, we find the present value to be approximately $1,779.82.

a-2. Comparing the present value of $22,000 ($1,779.82) to the immediate offer of $820, we can see that the present value is significantly lower. Therefore, based on financial calculations, it would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years.

Note: It is important to consider that financial decisions may involve various factors and considerations beyond the scope of this analysis, such as individual financial goals, risk tolerance, and alternative investment opportunities.

Learn more about present value here:

https://brainly.com/question/30390056

#SPJ11

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

The probability that a specific fire engine is not available when needed is 0.04 (since the probability of it being available is 0.96).

The question asks for two probabilities related to the availability of fire engines in a town. The first part asks for the probability that neither engine is available when needed, and the second part asks for the probability that a fire engine is available when needed.

To calculate the probability that neither engine is available when needed, we need to use the multiplication rule for independent events. We know that the probability that one specific engine is not available when needed is 0.04 (1 - 0.96). Since the two engines operate independently, the probability that both are not available when needed is the product of their individual probabilities:

P(neither available) = P(engine 1 not available) * P(engine 2 not available)

P(neither available) = 0.04 * 0.04

P(neither available) = 0.0016

Therefore, the probability that neither fire engine is available when needed is 0.0016.

To calculate the probability that a fire engine is available when needed, we can simply use the given probability of 0.96:

P(available) = 0.96

Therefore, the probability that a fire engine is available when needed is 0.96.

To learn more about Probability here:

brainly.com/question/11234923#

#SPJ11

Answer:x=-14.75

Step-by-step explanation:

f(x) = -7x - 19=-19

g(x) = 0.75x + 4.25 =4.25

The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:

Dividing the two values by 2, a common factor

223,692 / 42

= 111,846 / 21

Dividing the two values by 3, a common factor

111,846 / 21

= 37282 / 7

Dividing the two values by 7, a common factor

37282 / 7

= 5326 / 1

Hence, the value of the division is 5326.

Learn more about the division of numbers at: brainly.com/question/25289437

#SPJ1

Answer:

43.2 pounds of fish :)

Step-by-step explanation:

120 x 0.36 = 43.2

Have a great day!!

Please rate and mark brainliest!!!

The correlation will not be −0.44 based solely on the slope of the regression line. (option c).

Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:

Y = βX

where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:

Y = β(0) = 0

This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:

Y = σY(Y) + μY

where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:

Y = σY(0) + μY = μY

So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.

Hence the correct option is (c).

To know more about slope here

https://brainly.com/question/3605446

#SPJ4

Complete Question

When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that

a. The intercept will also be −0.44.

b. The intercept will be 1.0.

c. The correlation will not be 1/−0.44.

Answer:

y = -x/4 + 30

y = -2x/3 + 490

Step-by-step explanation:

5x+20y=600

5x-5x+20y=-5x+600

20y=-5x+600

20y/20=(-5x+600)/20

20y/20=-5x/20+600/20

y = -x/4 + 30

2x+3y=1470

2x-2x+3y=-2x+1470

3y=-2x+1470

3y/3=(-2x+1470)/3

3y/3=-2x/3+1470/3

y = -2x/3 + 490

Based on the fact that Brielle mixed 8 cups of blue and 6 cups of yellow paint, the complete table to show a new mixture that matches this paint color is:

The original paint color is in the ratio:
8 : 6

This can be simplified to:

(8 : 6 ) / 2

4 : 3

For every 4 blue cups, there will be 3 yellow cups.

If there are 9 yellow cups then the number of blue cups would be:

= (9 x 4) / 3

= 12 blue cups

If there are 16 blue cups, there will be:
= (16  x 3) / 4

= 12 yellow cups

Find out more on ratios of cups of paint at https://brainly.com/question/11096500

#SPJ1