Which is an equation of the line that passes through (–4, –5) and (–5,–7)

Answer:

Its C. y = x - 1

Step-by-step explanation:

For Example:

-4 = -3 - 1

1 = 2 -1

4 = 5 - 1

Answer:

Since the number of calories burned is proportional to the number of minutes jogged, we can represent this relationship using the equation y = kx, where y is the number of calories burned, x is the number of minutes jogged, and k is the constant of proportionality.

To find the value of k, we can use one of the given data points. For example, if x = 10 and y = 95, we have 95 = k * 10. Solving for k, we find that k = 9.5.

The constant of proportionality, k, has the meaning of the number of calories burned per minute of jogging. In this case, k = 9.5 calories/minute, so for every minute of jogging, the person burns 9.5 calories.

Step-by-step explanation:

The domain of the function :f(x)=x^2-11x-10 is expressed as D = (-∞, ∞)

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The domain of a function is the value of the input 'x' for which the given function exists here.

Given the function f(x)= x^2-11x-10

Therefore, the domain of the function exists on all real numbers.

Which is the function will exist for any given value of x.

Hence, the domain of the function is D = (-∞, ∞)

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ1

Answer:

the answer is letter B

Step-by-step explanation:

All you do is remove to parentheses

Answer:

-4

Step-by-step explanation:

I hope this helps

f( x ) is an odd function

The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin (0, 0).

According to the given information

We are given with the function

f( x ) = [tex]-9-x^{5} + 2x^{3}[/tex]

For checking that the function is even or odd

Case 1

put -x in place of x

f ( -x ) = [tex]-9-(-x)^{5} + 2(-x)^{3}[/tex]

f ( -x ) = [tex]-9+x^{5} -2x^{3}[/tex]

f(x) ≠ f (-x)

Hence it is not an even function

So

f(-x) = -f(x)

hence

f( x ) is an odd function

To know more about Even or Odd Function

https://brainly.com/question/16297926

#SPJ1

Answer:

 . .

Step-by-step explanation:;

The rules for an infinitive is:

(1) Noun forms include infinitives.

(2) Use of an infinitive is not appropriate if a preposition follows the verb.

(3) An infinitive may follow a common statement that ends with a preposition.

In the given question we have to wrote the rules for an infinitive.

There are certain fundamental guidelines for using infinitives.

(1) Noun forms include infinitives. They are the verb's subject if they are used before the main verb; if they are used after the main verb, they are the verb's object.

(2) Use of an infinitive is not appropriate if a preposition follows the verb.

(3) An infinitive may follow a common statement that ends with a preposition.

To learn more about rules for an infinitive link is here

brainly.com/question/829725

#SPJ4

By using substitution method the values of x and y are, x = -1/7 and y = -32/7.

What is substitution method?

The substitution method is typically used in mathematics to solve an equation system. In this approach, you solve the equation for one variable first, then you enter its value into the other equation.

Consider, the given equations

-8x = 5y + 24       ..(1)

-9y = 40 - 8x        ..(2)

From equation (1),

x = -(5y + 24)/8

x = -5/8y - 3            ..(3)

Plug value of x in equation (2),

-9y = 40 - 8(-5/8y - 3)

-9y = 40 + 5y + 24

-14y = 64

y = -64/14

y = -32/7

Plug y = -32/7 in equation (3)

x = -5/8(-32/7) - 3

x = -1/7

Hence, by using substitution method the values of x and y are, x = -1/7 and y = -32/7.

To know more about substitution method, click on the link

https://brainly.com/question/22340165

#SPJ1

Answer:

Step-by-step explanation:

The required probability is 0.75 that a student visited the athletic complex regularly, given that he or she tried out for a sport.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that a student visited the athletic complex regularly, given that he or she tried out for a sport. This is known as the conditional probability of visiting the athletic complex regularly, given that the student tried out for a sport.

The formula for calculating conditional probability is:

P(A|B) = P(A and B) / P(B)

In this case, A is the event "visited the athletic complex regularly" and B is the event "tried out for a sport."

Substituting the given probabilities into the formula, we get:

P(A|B) = P(A and B) / P(B)

= 0.12 / 0.16

= 0.75

Therefore, the probability is 0.75, which is the correct answer that would be option (C).

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

What is a slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.

-3= -4(4) +b

-3= -16+b

+16  +16

13= b

This tells us that b=13, now we simply substitute that into the formula.

The solution to your question is y=-4x+13

To learn more about slope visit:

https://brainly.com/question/3605446

#SPJ1

Answer:

1. The mistake he made was in Step #2. He subtracted 10 from -6 and 10 but he didn't subtract 10 from 18.

2. The correct answer should be -16 ≤ x < 8

Hope this helps : )

Step-by-step explanation:

Whatever you do on one side of an inequality/equation, you must do the same thing to the other side(s).

To get the correct answer he must subtract 10 from 18 which equals 8.

The final compound inequality is -16 ≤ x < 8

As per the question, Total Annual Cash Inflows = 5000, Discount Factor = 3.72 and New Machine's internal rate of return = 16%

Note: The query is not complete and does not contain the necessary information for part 4. It is impossible to fully answer this question without the exhibits stated in the questions. Up until part 3, we will be solving it.

1) The entire annual cash inflows must be calculated for this, and the formula is given below:

Total annual cash inflows are equal to the annual savings from part-time labor plus the additional contribution margin from anticipated sales.

Annual Cash Inflows Total = 3800 + ( 1000 x 1.20)

= 3800 + 1200

= 5000

2. Formula for figuring up the discount percentage:

Discount Factor = New Machine Price/Annual Cash Flow

New machine cost is 18600 USD.

Annual inflow of cash = 5000

Discount Factor is equal to 18600/5000.

Discount Ratio is 3.72.

3.  The examples, which are absent from this question, show that the discount factor for six years is roughly closest to 16%, hence the internal rate of return for the new machine is equal to 16%.

Note, without the exhibits indicated in the questions, the question is insufficient and cannot be utilized in Part 4. It cannot be solved any further.

To learn more about appropriate discount factor: https://brainly.com/question/18956029

#SPJ4

Answer:

This is the slope intercept formula used for make a line graph

Step-by-step explanation:

In the expression:

y = mx + b

m will equal your slope which is represented by rise/run

Example: 1/2, 2, 5, 3/8 etc.

b represents your y-intercept which is the point where the line hits the y-axis

For example: if the y - intercept is -2 then your line graph will cross through (0,-2) in the coordinate plane

All together, the equation for the line would look something like:

y = 1/2x - 2

Hope this helps! :D

Answer:

a lot

960

Step-by-step explanation:

Since there are 4 woman in total, there are 14-4=10 men.

Part 1

They can choose either 2 women, 3 women, or 4 woman.

If they choose 2 out of the 4 woman, they can have 6 different combinations.

4!/(2!(4-2)!)

=24/(2(2!))

=24/4=6

There are 8 remaining men to be chosen on the committee (because 10-2=8).

There are 10 total men and 8 men need to be chosen out of them, so the number of combinations for men is given below.

10!/(8!(10-8)!)

=10!/(8!(2!))

Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 8! from both the numerator and denominator to simplify it. This leaves the numerator with 9x10, which is 90, and the denominator with 2!, which is just 2.

90/2=45

Now we need to multiply 45 (number of combinations to choose 8 men from 10 men) and 6 (number of combinations to choose 2 women from 4 woman).

45x6=270 combinations if 2 woman are chosen

Part 2

Next we need to find out how many combinations there are if they choose 3 women for the committee.

If they choose 3 out of the 4 woman, they can have 4 different combinations.

4!/(3!(4-3)!)

=24/(6(1!))

=24/6=4

There are 7 remaining men to be chosen on the committee (because 10-3=7).

There are 10 total men and 7 men need to be chosen out of them, so the number of combinations for men is given below.

10!/(7!(10-7)!)

=10!/(7!(3!))

Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 7! from both the numerator and denominator to simplify it. This leaves the numerator with 8x9x10, which is 720, and the denominator with 3!, which is 6.

720/6=120

Now we need to multiply 120 (number of combinations to choose 7 men from 10 men) and 4 (number of combinations to choose 3 women from 4 woman).

120x4=480 total combinations if 3 women are chosen

Part 3

If 4 women out of 4 women are chosen for the committee, then obviously, there will only be 1 combination for that, since all the women will be chosen.

This leaves us with 10-4=6 spots for men in the committee.

There are 10 total men and 6 men need to be chosen out of them, so the number of combinations for men is given below.

10!/(6!(10-6)!)

=10!/(6!(4!))

Instead of multiplying out 1x2x3x4x5x6x7x8x9x10 to find 10!, we can divide 6! from both the numerator and denominator to simplify it. This leaves the numerator with 7x8x9x10, which is 5040, and the denominator with 4!, which is 24.

5040/24=210

Now we need to multiply 210 (number of combinations to choose 6 men from 10 men) and 1 (number of combinations to choose 4 women from 4 woman).

210x1=210 total combinations if 3 women are chosen

Part 4

Finally, we need to add all the final answers from the previous parts.

270+480+210=960 total combinations if at least 2 women were chosen for the committee

Please let me know if you find any errors

The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

Given that,

We have to find for the marginal revenue function, locate the demand function.

Remember that the income is zero if no things are sold:

R'(x) = 0.06x² - 0.05x + 152

p(x) is what.

We know that,

MR = dTR/dx = 0.06x² - 0.05x + 152

Integrating the marginal revenue function , we get total revenue function,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 152x

= (0.06x³)/3 - (0.05x²)/2 + 152 x

TR  = 0.02 x³ - 0.025 x² + 152 x

TR = (P)(Q) = (P)(x) =  0.02 x³ - 0.025 x² + 152 x

P = ( 0.02 x³ - 0.025 x² + 152 x)/x

P = 0.02x² -0.025x + 152

Therefore, The marginal revenue function, locate the demand function is P = 0.02x² -0.025x + 152 when R'(x) = 0.06x² - 0.05x + 152.

To learn more about function visit: https://brainly.com/question/13113489

#SPJ4

The equation to know the number of people that can get pizza is p = 42.5 / 8.5

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, Anna wants to celebrate her birthday by eating pizza with her friends and she has $42.50 and each pizza cost $8.50.

The equation that maths the situation will be:

p = 42.50 / 8.5

where P = number of people that can get pizza.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Splitting strategy is one of the technique in mathematics  which help to add  the larger number , two-digit and three digit and so on.

Explanation:

Splitting strategy is one of the mathematical technique :

Therefore, the splitting strategy is mathematical technique to make out work effortless.

learn more about splitting strategy here

brainly.com/question/936663

#SPJ4

Answer:

-35

Step-by-step explanation:

Knowledge Needed

This notation is called sigma notation (or summation). It is used later on in Calculus too.

The number on top of the sigma sign is called the top index.

The number on bottom of the sigma sign is called the lower index.

To the right of the sigma sign is an expression.

I will give you an example to help.

3

Σ n^2

n = 1

To start, look at the bottom number. Then, plug all numbers from the lower index to the top index (including the top index) into the expression.

n^2

(1) ^ 2

(2) ^ 2

(3) ^ 2

We stop at 3 because 3 is the top index.

Simplify.

1 ^ 2 = 1

2 ^ 2 = 4

3 ^ 2 = 9

Add the numbers.

9 + 4 + 1

14

The answer is 14.

Question

Start at 1 and go to 5.

-2n-1

-2(1)-1

-2(2)-1

-2(3)-1

-2(4)-1

-2(5)-1

Stop at the 5, the top index.

Simplify.

-2 - 1 = -3

-4 - 1 = -5

-6 - 1 = -7

-8 - 1 = -9

-10 - 1 = -11

Add.

-3 + -5 + -7 + -9 + -11

-35

Equation of line having passing point (-2,5) and (2,-3) is  y − 5 = −2(x + 2).

Hence, option B is correct.

What do you mean by equation of line?

A line equation is an algebraic representation of a set of points that together form a line in a coordinate system. A number of points that together form a line of axes, represented as a set of variables x,y, form an algebraic equation called the line equation.

Given passing points of line (-2,5) and (2,-3)

Equation of line having two passing points (a,b) and (c,d) is

y - b = [tex]\frac{d-b}{c-a}[/tex] (x - a)

So, equation of line having passing point (-2,5) and (2,-3) is

y - 5 = [tex]\frac{-3-5}{2+2}[/tex] (x + 2)

y - 5 = -2(x + 2)

y - 5 = -2x - 4

2x + y - 5 + 4 = 0

2x + y - 1 = 0

Therefore, equation of line having passing point (-2,5) and (2,-3) is  y − 5 = −2(x + 2).

Hence, option B is correct.

To learn more about the equation of line from the given link.

https://brainly.com/question/18831322

#SPJ1

Answer: Depends if AB and CD are equal, as they both have M in the same spot that can be eliminated, look at the quadrilateral and make a guess based off the information that AB and CD have to be equal

Step-by-step explanation:

The parallel line has an equation of y = 2x - 21

The equation is given as

y = 2x + 3

The equation of a line can be represented as

y = mx + c

Where

slope = m

By comparing the equations, we have:

m = 2

The slopes of parallel lines are equal

This means that the slope of the other line is 2

i.e. m = 2

Recall that:

The equation of a line can be represented as

y = mx + c

Where

slope = m = 2

Also, we have

(x, y) = (6, -9)

So, we have

-9 = 2 * 6 + c

This gives

c = -9 - 12

Evaluate

c = -21

So, we have

y = 2x - 21

Hence, the equation of the parallel line is y = 2x - 21

Read more about linear equations at

brainly.com/question/4074386

#SPJ1

The zero of the graph is 8 and it represents the time taken for Bart to pass out the flyers i.e 8 minutes

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

The empty graph

Also from the question, we have the following equation

f(x) = 80 - 10x

This means that

The variable f is a function of x i.e. f(x)

To plot the graph, we represent the function f(x) on the y-axis

See attachment for the graph of the function

This is the point where the graph crosses the x-axis

This is represented a f(x) = 0

Substitute the known values in the above equation, so, we have the following representation

80 - 10x = 0

Add 10x to both sides

10x = 80

Divide both sides by 10

x = 8

Hence, the zero is 8 and it means that Bart passes out the flyers in 8 minutes

Read more about linear graphs at

https://brainly.com/question/14323743

#SPJ1

The equation of the vertical line is x = -2.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the equation of the line as follows;

using (-2, 1) and (-2, 2)

m = 2 - 1 / -2 + 2

m = 1 / 0

m = 0

Therefore, y-intercept using (-2, 1)

1 = 0 + b

The equation of a vertical line in the graph, which is parallel to y-axis is x = a.

Hence, the equation of the vertical line is x = -2.

learn more on equation of a line here: https://brainly.com/question/14200719

#SPJ1

Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction and y-intercept of a line is the point at which the line crosses the y-axis.

Slope: Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction. It is typically represented by the m in the equation y = mx + b.

Example: A line with a slope of 2 would mean that for every increase of 1 in the x-direction, the y-value would increase by 2.

Y-intercept: The y-intercept of a line is the point at which the line crosses the y-axis. It is typically represented by the b in the equation y = mx + b.

Example: A line with a y-intercept of 4 would cross the y-axis at y = 4.

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

Answer:

Your answer is B) [tex]y=\frac{1}{3}x-6[/tex]

If the scale factor is equal to one, then there wont be any change in the original shape

The scale factor is defined as the ratio of the original size of the shape to the new size of the shape.

There are three types of scale factors will be there, greater than one, equal to one and between 0 and 1

When the scale factor is greater than 1, then the shape will enlarge

When the scale factor is equal to 1, there wont be any change in original shape

When the scale factor is between 0 and 1, the shape will decrease the size

Therefore, there wont be any change in original shape when scale factor equal to one

Learn more about scale factor here

brainly.com/question/29464385

#SPJ4

Answer:

y = -1/6x + 5

Step-by-step explanation:

y = mx + c

Gradient (m) = -1/6

Y-intercept (c) = 5

so

y = -1/6x + 5

Answer:

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

Step-by-step explanation:

y = mx + c

Find the reciprocal and change the sign of the gradient (m), which is -[tex]\frac{1}{2}[/tex]

so

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

Put in your point that you want it to intersect (4,-1):

-1 =   [tex]-\frac{1}{2}[/tex](4) + c

-1 = -2 + c

-1 + 2 = c

1 = c

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

Answer:

6t^13-12t^12

Step-by-step explanation:

6t^12(t-2)

6t^12t+6t^12*-2

6t^12+1 +6t^12*-2

6t^13+6t^12*-2

6t^13-12t^12

M(5) = 2737.867; After 5 years, there are approximately 2,737 members in the company

What does M(5) mean and how should it be interpreted in relation to the issue?

In this case, we know that the exponential function M(t) = 1700*(1.10)t denotes the number of members the company had t years after its founding.

Then, M(5) will stand for the number of members who joined the company five years after its founding. To determine this value, all we have to do is substitute the number five for the variable t.

M(5) = 1700*(1.10)^5 = 2,737.867

Rounding to the nearest whole number, we obtain 2,737, which indicates that there will be roughly 2,737 members after 5 years.

Consequently, the second choice is the right one:

"M(5) = 2737.867; There are about 2,737 members in the company after 5 years."

learn more about exponential functions:

brainly.com/question/11464095

#SPJ4