Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Mark this and return

Answers

Answer 1

The thing that best describes the values of x and y is option B; they will be real numbers greater than or equal to 0.

What is a Real Number?

The real number refers to the union of both rational and irrational numbers that can have negative or positive values.

From the given information:

Peaches are being bought and sold for $2 per pound.

There is no negative value used here if x represents the number of pounds of peaches bought and y represents the total cost of the peaches.

Thus, a conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0.

Read more about real numbers here:

brainly.com/question/155227

#SPJ1

Answer 2

Answer:

im pretty sure its d

Step-by-step explanation:

----- ______------


Related Questions

A store owner tracks the number of online orders she receives each week since the start of a new advertising campaign and graphs the data. Use the graph to select the true statement about the function that models the given situation. A. The function is linear and is growing by equal differences over equal intervals. B. The function is exponential and is growing by equal percentages over equal intervals. C. The function is exponential and is growing by equal differences over equal intervals. D. The function is linear and is growing by equal percentages over equal intervals.

Answers

The true statement about this function which models the given situation is: A. the function is linear and is growing by equal differences over equal intervals.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph which models the given situation, we can infer and logically deduce that the true statement about this function is that the function is linear and is growing by equal differences over equal intervals.

Read more on linear function here: https://brainly.com/question/6978079

#SPJ1

What is the probability of rolling an even number on a
standard dice? Give your answer in its simplest form.

Answers

The probability is 3/6 so the simplest form would be 1/2

Point o is the center of dilation. triangle x y z is dilated to create triangle x prime y prime z prime. the length of o z is 2 and the length of z z prime is 4. the length of side x prime y prime is 9 and the length of side y prime z prime is 12. triangle xyz was transformed by do,3. what is the length of side xy?

Answers

The length of xy  in the triangle XYZ is 9 units if xyz is dilated to create triangle x prime, y prime and z prime.

Given triangle xyz is dilated to create x prime, y prime and z prime.The length of oz is 2, the length of Zz Prime is 4,the length of x prime y prime is 9 and the length of side y prime z prime is 12.

Dilation is basically technique of creating similar shapes. Each point is streched outwards from the center point by multiplying the scale.

After dilation the side of the shape used to reduce according to factor. It is reduced by number of times of factor.

The line xy is equal to 9 units after dilation by a factor of 3. So the length of xy is 9/3.

=3 units.

Hence the length of side xy is 3 units if xyz is dilated to create x prime, y prime and z prime.

Learn more about dilation at https://brainly.com/question/3457976

#SPJ4

Answer: 3

Step-by-step explanation: just did it on edge

2. when a newspaper poll produces a statistic that is biased, it means that

Answers

When a newspaper poll produces a statistic that is biased, it mean that

(b) Repeated polls would give, results that are very different from each other.

What is biased in statistics?

Statistical bias is anything that leads to a systematic difference between the true parameters of a population and the statistics used to estimate those parameters when people say that the newspaper poll is biased, they mean that:

(b) Responding was voluntary, and only these with access and interest would answer.

To learn more about biased in statistics from the given link

https://brainly.com/question/24491228

#SPJ4

Complete question:

When a newspaper poll produces a statistic that is biased, it means that

(a) Repeated polls would give the truth, about the population, in the same direction.

(b) Repeated polls would give results that are very different from each other.

(c) Repeated polls would give results that would not yield a normal distribution.

(d) Repeated polls would give results that are very similar to each other.

The function P(t) = 21e^0.01823t represents the population of Texas, in millions, t years after 2000. What was the population of Texas in the year 2000? Write your answer in millions (for example 4,000,000 would be expressed as 4).

Answers

The population in the year 2000 is 21

How to determine the population in 2000?

The function is given as:

P(t) = 21e^0.01823t

The year 2000 is 0 years after 2000.

This means that

t = 0

So, we have:

P(0) = 21e^(0.01823 *0)

Evaluate the product

P(0) = 21e^0

Evaluate the expression

P(0) = 21

Hence, the population in the year 2000 is 21

Read more about exponential functions at:

https://brainly.com/question/11487261

#SPJ1

It takes, on average, 6 minutes to do all the steps but the actual time can vary according to an exponential distribution with a standard deviation of 6 minutes. Assume students arrive on average every 6.6 minutes and their inter-arrival times are also exponentially distributed. What is the expected waiting time in this system according to the Kingman (PK) Formula

Answers

The expected waiting time is 1.2 minute

According the statement

We know that the kingman formula is

[tex]{ E(W) = \left ( \frac{p}{1-p} \right )\cdot \left ( \frac{ C_{a}^{2}+ C_{s}^{2} }{2} \right ) \cdot \mu_{s} }[/tex]

According to statement the mean value μs is 6 min.

Here the value of P is 6/36 = 1/6

And the value of ca and cs is 1

Substitute the values in formula then

[tex]{ E(W) = \left ( \frac{0.17}{1-0.17} \right )\cdot \left ( \frac{ 1^{2}+ 1^{2} }{2} \right ) \cdot \m6} }[/tex]

[tex]{ E(W) = \left ( \frac{0.17}{0.83} \right )\cdot \left ( 1 ) \cdot \m6} }[/tex]

[tex]{ E(W) = \left ( 0.20} \right )\cdot \left ( 1 ) \cdot \m6} }[/tex]

[tex]{ E(W) = 1.22[/tex]

So, the expected waiting time is 1.2 minute

Learn more about PK FORMULA here https://brainly.com/question/2005046

#SPJ4

GEOMETRY) The question is on the picture below!

Answers

Answer:

C = 100 degrees

B = 70 degrees

Step-by-step explanation:

OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL ARE SUPPLEMENTARY, WHENEVER YOU ADD THEM THEY SHOULD GIVE YOU 180 DEGREES.

SOLUTION

A + C = 180

80 + C = 180

C = 100

D + B = 180

110 + B = 180

B = 70

The graph shows the speed of Sam’s car over time.

A graph titled Speed of Car. The horizontal axis shows time (hours) and the vertical axis shows speed (m p h). Both axes are unnumbered. A line appears in 4 sections, labeled A, B, C, D. Section A shows a rise in speed over time, sections B and D maintain a level speed over time, and section C shows a reduction in speed over time.
Which best describes what is happening in section C?

Answers

The car start decelerating in section c of the graph.

What is graph?

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Here, section A show the rise in speed of car over time. Meanwhile The curve is increasing curve.
B and D shows maintain level of speed means the curve is straight line and for every value of x there is only one y.


But at section C the speed of car reducing. Meanwhile, the car decelerating and the curve is of decreasing order over the time.

Thus, for section C, car is decelerating and the curve is of decreasing nature over time upto D.

Learn more about graphs here:

brainly.com/question/16608196

#SPJ1

Answer:

the car is traveling at a constant speed (answer is D)

Step-by-step explanation:

im just smart like dat

If a gallon of gas costs 368 9/10 cents, how much does 1/2 gallon cost?

Answers

Answer:

[tex]737\frac{4}{5}[/tex]cents

Step-by-step explanation:

1 Gallon of Gas = 368.9 cents (Note: 9/10 = 0.9)

1/2 Gallon of gas = [tex]\frac{368.9}{\frac{1}{2} }cents\\ =368.9 * 2\\= 737.8 cents[/tex]

or [tex]737\frac{4}{5}[/tex] cents (Reduced to simplest form)

An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nearest tenth, what is the area of the screw head?

Answers

The area of the screw head is 93.5m².

How to calculate the area?

The area of the hexagon can be illustrated based on the formula:

A = 3✓3/2 × a²

Base = 12.

Height = 3.

Area of each triangle = 0.5 × 12 × 3 = 18

Area of the rectangle = 12 × 6 = 72

Therefore the area of the screw head will be:

= 3√3/2 × 72

= 93.5m²

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Write the product in its simplest form:
-4y²• 8y4

Answers

-128y^2 x y^1 +2 = -128y^3

For which of the given p-values would the null hypothesis be rejected when performing a level 0. 05 test?.

Answers

Using a significance level of 0.05, the null hypothesis would be rejected for p-values less than 0.05.

What is the relation between the p-value and the conclusion of test hypothesis?

Depends on if the p-value is less or more than the significance level:

If it is more, the null hypothesis is not rejected.If it is less, it is rejected.

Hence, the null hypothesis would be rejected for p-values less than 0.05.

More can be learned about hypothesis tests at https://brainly.com/question/16313918

#SPJ1

Find y. right triangles

Answers

Answer:

√2

Step-by-step explanation:

Angle ( θ ) = 45

Hypotenuse side = 2

Opposite side = x

Formula : -

sin θ = Opposite side / Hypotenuse side

Note :

The value of sin 45 = 1/√2

sin 45 = x/2

1/√2 = x/2

Cross multiply,

x*√2 = 2*1

x√2 = 2

2 can be simplified as √2 * √2

x√2 = √2*√2

Divide √2 on both sides,

x = √2

PLEASE HELP I DONT UNDERSTAND I HAVE A FEW MIN TO SUBMIT

Answers

Answer:

Increasing: [tex](\infty, -1) \cup (2, \infty)[/tex]

Decreasing: [tex](-1, 2)[/tex]

Step-by-step explanation:

So when an equation has and odd degree, it will go in the opposite direction on both ends, so if y went towards infinity as x went towards infinity, then y would go towards negative infinity as x goes towards negative infinity. In this case, by looking at the graph it has an odd degree, due to opposite end behaviors, although on both ends it's increasing because even though it appears that it's going down on the left side, that's only if you start from the right and go towards the left. So it's really increasing from negative infinity to -1, and then it decreases from -1 to 2, until it once again starts increasing from 2 to infinity. This can be represented as (-infinity, -1) U (2, infinity) for increasing and (-1, 2) as decreasing

PLEASE HELP!! ASAP!!!!!

Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (3, 4) and (5, 0). a A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14. b A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6. c A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5. d A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.

Answers

The linear function with the same y-intercept with the graphed function is: table A.

What is a Linear Function?

The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.

Slope of the graphed function = rise/run = - 2/1 = -2

Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:

0 = -2(5) + b

0 = -10 + b

10 = b

b = 10

The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.

Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3

Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):

8 = 3(1) + b

8 - 3 = b

5 = b

b = 5

Therefore the table with the same y-intercept as the graphed function is table A.

Learn more about linear function on:

https://brainly.com/question/4025726

#SPJ1

What is the solution for w in the equation?
w+1/2=1/4w+2

A. 4
B. 2
C. 10/3
D. 9/3

Answers

Answer:

B. 2

w=2

Step-by-step explanation:

hope this helps!

If 7846, 7896 and 8802 are rounded to the nearest hundred and then added, the answer will be

Answers

Answer:

the answer is 24500

Step-by-step explanation:

7800+7900+8800

=24500

If < A and < B form a linear pair, and m< A = x - 21 degrees, and m< B = x + 15 degrees, then find x.

Answers

The value of x = 93 degree and value of angle A and B is 72 , 108 degree

What is a Linear Pair ?

The pair of triangles that are supplementary and they add to form 180 degree angle are called Linear Pairs.

It is given that

∠ A = x -21

∠ B = x+15

also it is given that

angle  A and B form a linear pair

∠ A + ∠ B = 180 degree

To find the value of x

x -21 + x+15 = 180

2x - 6 = 180

2x = 186

x = 93 degree

so

∠ A = x -21 = 93 -21 = 72 degree

∠ B = x+15 = 93+21 = 108 degree

Therefore the value of x = 93 degree and value of angle A and B is 72 , 108 degree.

To know more about Linear Pair

https://brainly.com/question/1757859

#SPJ1

If m/BOC= 27 and m/AOC = 47, then what is the measure of ZAOB? The diagram is not to scale.
D.
B
40
Ob 24
Oc
20
Od
54
74
30
e
Of

Answers

The measure of m ∠A0B is 20. Option C

How to determine the value of angle AOB

m ∠BOC = 27

m ∠AOC = 47

m∠A0B = unknown

But note that the sum of m ∠BOC + m ∠A0B = m ∠AOC  

We have,

27 +  m ∠A0B = 47

m ∠A0B = 47 - 27

m ∠A0B = 20

Therefore, the measure of m ∠A0B is 20. Option C

Learn more about triangles here:

https://brainly.com/question/1475130

#SPJ1

A standard deck of cards contains 52 cards. Of these cards there are 13 of each type of suit (hearts, spades, clubs, diamonds) and 4 of each type of rank (A – K). If two cards are drawn from the deck and then replaced back into the deck each time, what is the probability of drawing a heart and a spade from the deck of cards?


answer options:
1/8
1/26
1/16
1/32

Answers

[tex]\large\boxed{\frac{1}{16}}[/tex]

The answer is equal to the probability of drawing a heart multiplied by the probability of drawing a spade.

The probability of a given suit being drawn is [tex]\frac{13}{54}[/tex], which simplifies to [tex]\frac{1}{4}[/tex]. This is because there are 13 outcomes we would like out of 54 possible outcomes in total.

Multiply [tex]\frac{1}{4}[/tex] by itself (square it) to get the final answer of [tex]\frac{1}{16}[/tex].

Answer corrected. Originally said [tex]\frac{1}{8}[/tex] as the final answer. Thank you, sangers1959!

Solve the following problem using linear systems: You have a bottle of a 2% solution of iodine and a bottle of a 66% solution of iodine. You need 16 liters of a 47% solution. How many liters of the 2% and 66% solutions should you mix together?

Answers

The quantity of liters of the 2% and 66% solutions should you mix together is 4.75 and 11.25 liters.

let

x = liters of 2% solutiony = liters of 66% solution

x + y = 16

0.02x + 0.66y = 0.47 × 16

from (1)

x = 16 - y

Substitute into (2)

0.02x + 0.66y = 0.47 × 16

0.02(16 - y) + 0.66y = 7.52

0.32 - 0.02y + 0.66y = 7.52

- 0.02y + 0.66y = 7.52 - 0.32

0.64y = 7.20

y = 7.20/0.64

y = 11.25 liters

Substitute y = 11.25 liters into (1)

x + y = 16

x + 11.25 = 16

x = 16 - 11.25

x = 4.75 liters

Learn more about linear equation:

https://brainly.com/question/1884491

#SPJ1

Please help I need this by tommorrow

Answers

Answer:

I think you would have to do 2 times 7

Answer:

h = 2.5cm or 5/2 cm

Step-by-step explanation:

Vol = Basearea•h

In your question, the base is the triangle shape. The rectangles go around the sides of the 3-d shape and on top is another triangle that we can't really see. In your image it is kind of laying on its side. So if we stand it up properly, the triangles are on the top and bottom. The triangle is the base.

Volume was given; it is 35. Also given is one side of the rectangles, that is 7.

So we can fill in 35 and 7 into the volume formula and calculate the Basearea.

V = B • h

35 = B • 7

35 = 7B

Divide by 7.

5 = B.

We have calculated the Basearea. This is the area of the triangle shaped bottom. The area formula for a triangle is:

A = 1/2bh

We just found that A=5 and we were given that the base of the triangle is 4.

A = 1/2bh

5 = 1/2•4•h

5 = 2h

Divide by 2.

5/2 = h

This is the height of the triangle, h in the picture. (The h in the volume formula and h in the triangle are different)

This is what the question is asking for, h = 5/2 or in decimals, h = 2.5cm

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?
O xx-5
0 x>-5
O x>-1
O x<-1

Answers

Answer:

x > -5

Step-by-step explanation:

[tex] \frac{2}{5} (x - 1) < \frac{3}{5} (x + 1)[/tex]

[tex]2(x - 1) < 3(x + 1)[/tex]

[tex]2x - 2 < 3x + 3[/tex]

[tex] - 5 < x[/tex]

[tex]x > - 5[/tex]

Below, the two-way table is given for a class
of students.
Freshmen
Male
4
Female 3
Total
Sophomore
6
4
Juniors Seniors Total
2
6
23
2
If a student is selected at random, find the
probability the student is a freshman.
P(Freshman) = [? ]%
Round to the nearest whole percent.

Answers

Answer:

23%

Step-by-step explanation:

There are 7 Freshman total

There are 30 students total

The probability of picking a Freshman is 7/30 or 23%

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.

Which system of linear equations represents the beverage sales on Saturday?

Answers

c = 4 times h

Linear equation: 1.5c + 2h = 360

Hello!

Your answer should be..

c=4h     ( as there are 4 hours )

1.5c+2h=360

c is 1.50 and h is 2.00 so you must add them to reach 360

Hope this helps! :)

Directions: Find the product and simplify

Answers

Answer:

x^4-9x^2+26x-24

Step-by-step explanation:

Answer:

[tex] {x}^{3} - 9 {x}^{2} + 26x - 24[/tex]

Step-by-step explanation:

[tex](x - 3)( {x}^{2} - 6x + 8)[/tex]

[tex] {x}^{3} - 6 {x}^{2} + 8x - 3 {x}^{2} + 18x - 24[/tex]

[tex] {x}^{3} - 9 {x}^{2} + 26x - 24[/tex]

1. On the number line above, the ratio of AE to
AG is equal to the ratio of DF to which of the
following?

Answers

Answer:

(C) BE

Step-by-step explanation:

AE = 4

AG = 6

-> AE/AG = 2/3

DF = 2

We need a segment that is 3/2 the length of DF, which is 2.

The only option that works is (C) BE

Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a width of 2x feet and a length of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following functions will give the area, f(x), of the quilt in square feet?

Answers

The function that  will give the area, f(x), of the quilt in square feet is

Area = f(x) = 10x²+31 + 15

Which of the following functions will give the area, f(x), of the quilt in square feet?

Generally, the equation for Area of Rectangle is  mathematically given as

A = Length *Width

Therefore

A= (5x+3)(2x+5) square feet.

inconclusion, Area

f(x)= (5x+3)(2x+5)

f(x)=10x+25+ 6+15

(fx) 10x^2 +31x+15

Read more about Area

https://brainly.com/question/27683633

#SPJ1

Answer:

f(x)=10x^2 + 31x + 15

Step-by-step explanation:

Did it and got it right

the other people put so much things for no reason lol

Professor Nwamabi is conducting an experiment in which he is examining the effects of air conditioning on sleep habits. 100 participants are randomly assigned into two groups, one of which sleeps for a week in an air conditioned setting and of which sleeps in a room without air conditioning. After a week he has various physiological markers assessed to see if the groups are different. In this research, the use of air conditioning represents a(n) ________ variable.

Answers

In the research of Professor Nwamabi  the use of air conditioning represents independent variable.

Given 100 participants are randomly selected in a research in which effects of air conditioning on sleep habits is studied.

Dependent variable is the variable whose value is dependent on the other variables like increase in profit and production.

Independent variable is the variable whose value is not dependent on the other variables.

In the research of Professor Nwamabi in which he is examining the effects of air conditioning on sleep habits, use of air conditioning represents independent variable. In this study the effect is on sleep habits means the value of sleep habits will change due to use of air conditioning. It shows that the use of air conditioning is not depending on other variable in the research.

Hence the use of air conditioning represents the independent variable.

Learn more about independent and dependent variables at https://brainly.com/question/25223322

#SPJ4

Choose the expression that is equivalent to 9w² +(20w² - 15w+10) +2w.
OA. 9w² - 17w +6
B. 21w² -7w+10
C. 21w²-7w+6
D. 9w² -w+10

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: 9w² - 13w + 10[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + (20 {w}^{2} - 15w + 10) + 2w[/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w + 10+ 2w[/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w +2w + 10[/tex]

[tex]\qquad \tt \rightarrow \: 29 {w}^{2} - 13w + 10[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Other Questions
The Iroquois and the Algonquians were the predominant tribe in which region of the United States?NortheastSouthwestSoutheastNorthwest On island X, he saw both species of finches. On island Y, he only saw the finch on the right. Based on these observations, what is the most likely conclusion Darwin would have made? What does it mean to be free "The best search-and-rescue dogs are so filled with motivation that they are willing to work hard for a reward, like a toy or praise." What does "motivation" mean in the sentence above? Determination. Energy. Playfullness. Intelligence. end behavior of f(x)= 10/x^2-7x-30 Step 8: Measure Pressure and Volume with the Bookand 3 kg of WeightTotal the mass on the syringe. Record it in thecorrect row of the data table.kg Read this sentence:Other people found clowns frightening, but Sonia couldn'tunderstand why.What word should you change in the sentence to switch its point of view from thirdperson to first person?A. Change "Sonia" to "she."B. Change "other people" to "you."C. Change "other people" to "they."OD. Change "Sonia" to "I." Harry S. Truman's statement would most likely be considered part of a broader response to the activities of what other nation?A. TurkeyB. Soviet UnionC. JapanD. Great Britain y ( x + w ) = c ( x + z ) Why ethiopia still remain to be the least urbanized country in the world and what are the major problems of urban centres of ethiopia A box contains 162 marbles which are either red or blue. There are 42 more blue marbles than red marbles. How many blue marbles are in the box? Blue marbles= Is the relationship between red sox away games and average daily revenues significant at the 95% confidence level? choose the correct answer with the corresponding correct reasoning. Paladin furnishings generated $4 million in sales during 2021, and its year end total assets were $3.2 million. also, at year end 2021 current liabilities were $500,000, consisting of $200,000 of notes payable, $200,000 of accounts payable, and $100,000 of accrued liabilities. looking ahead to 2022 the company estimates taht its assets must increase by $.80 for every $1.00 increase in sales. paladin's profit margin is 3% and its retention ratio is 50%. how large of a sales increase can the company achieve without having to raise funds externally? The stool is 120 cm tall. How tall is it in inches? Note: there are 2.54 cm in 1 inch Read this quote and think about its primary question why bother studying the past?People live in the present. They plan for and worry about the future. History, however, is the study of the past. Given all the demands that press in from living in the present and anticipating what is yet to come, why bother with what has been? Dont Really need explanation Simply answer Determine the intercepts of the line.Do not round your answers.-4x + 7y = 3 The height of a triangle is 4 m less than its base. The area of the triangle is 48 m. What is the length of the base? Enter your answer in the box. Which of the following is the correct way to cite a direct quote?Oa. According to Judson and Harrison (2010), a pretrial conference "helps avoid surprises and delays after the trial starts and may lead to an out-of-courtsettlement (p. 149).b. In fact, a pretrial conference "helps avoid surprises and delays after the trial starts and may lead to an out-of-court settlement" (Judson and Harrison, 2010,p. 149).Oc. Judson and Harrison (2010) discussed the advantages of a pretrial conference. They found it "helps avoid surprises and delays after the trial starts and maylead to in out-of-court settlement" (p. 149).d. All of the above are correct ways of citing this quote. The theory that genetically determined behavior that enhances the ability to survive and reproduce will continue in future generations is called _____________________.Biopsychology EvolutionNatural SelectionIntrospection