Find two numbers whose sum equals 6 and whose product equals 4.

Answers

Answer 1

Answer:

You've described a system of equations:

x+y=6

x*y=4

 

The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10

 

This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.

Step-by-step explanation:


Related Questions

A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.

Answers

Answer:

-35 dollar net loss

Step-by-step explanation:

Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.

-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.

Answers

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

Beth wrote a system of equations to determine when a referee will earn the same salary working the East Conference and West Conference games. y = 40x − 25 and y = 35x − 5 (x = total games and y = amount earned) Beth determined that at 135 games, the referee would earn the same salary for each conference game. Is she correct?

Answers

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

Step-by-step explanation:

eq. of any line parallel to y=1/2 x-4 is

y=1/2 x+a,where a is constant.

∵ it passes through (4,5)

5=1/2(4)+a

5=2+a

a=5-2=3

so reqd. eq. is y=1/2 x+3

Answer:

Equation of the line is

y = 1/2x + 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

[tex]y = \frac{1}{2} x - 4[/tex]

comparing this equation with the above formula

Slope or m is 1/2

Since the lines are parallel their slope are also the same

That's

m = 1/2

Equation of the line using point (4,5) is

[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]

Hope this helps you.

pppppplzzz HELPS ME!!!!

Answers

The answer is B)

Explanation:

In the equation 7(2B + J), the 7 indicates the seven days in a week, and the J indicates the money spent on juice.  Thus, the B must represent the money spent on granola bars.

The answer is B because if B represents dollars, that is the amount

the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2

Answers

Answer:

B. Is the Answer 100 m²

Step-by-step explanation:

The ratio of the two solid is 729/125  

The ratio of the surface area = (729/125)^(2/3)=81/25  

Surface area = 25 * 324 / 81 = 100 m²

If the gradient is negative or positive how will it be Please i need it now! Thanks

Answers

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

Valid

Step-by-step explanation:

No calculations, but,

Def. of isosceles triangle= two congruent sides.

yes is isosceles

Step-by-step explanation:

valid

will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18

Answers

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

Yaping played 5 rounds of golf and her mean score was 80. Ken played 4 rounds of golf. If both Yaping and Ken have the same sum of golf scores, what was Ken’s mean score?

Answers

Answer:

The mean score for Ken was 100.

Step-by-step explanation:

The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:

[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]

So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:

[tex]mean_{K} = \frac{400}{4} = 100[/tex]

The mean score for Ken was 100.

20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.

Answers

Answer:

d = 78.810 feet

Step-by-step explanation:

To find the distance d we use sine

sin∅ = opposite / hypotenuse

d is the opposite

the hypotenuse is 85ft

∅ = 68°

sin 68 = d / 85

d = 85 sin 68

d = 78.810 feet

Hope this helps you

D answer 78.810......

In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.

Answers

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

pls help me with 15 and 16 I will make u brianlist thank u:)

Answers

Answer:

15.  c

16.  b

i hope you figure out later in life how to solve.

Answer:

A, D

Step-by-step explanation:

When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.

Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.

Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.

Fill in the missing amounts.

Answers

Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

hope this help

GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.

Answers

Step-by-step explanation:

Z-score = (score-mean)/standard deviation

= (3.06-2.38)/0.45

= +1.51

The significance of z-score will be "1.5111".

Given values are:

Mean,

[tex]\mu = 2.38[/tex]

Standard deviation,

[tex]\sigma = 0.45[/tex]

GPA,

[tex]\bar x = 3.06[/tex]

Now,

→ The z-score will be:

= [tex]\frac{\bar x - \mu}{\sigma}[/tex]

By putting the given values, we get

= [tex]\frac{3.06-2.38}{0.45}[/tex]

= [tex]\frac{0.68}{0.45}[/tex]

= [tex]1.5111[/tex]

Learn more about standard deviation here:

https://brainly.com/question/5778359

2(x+3)=x-4 i really need help on this plss

Answers

Answer:

X = -10

Step-by-step explanation:

[tex]2(x + 3) = x - 4[/tex]

Multiply each term in the parenthesis by 2

[tex]2 x + 6 = x - 4[/tex]

Move variable to L.H.S and change its sign

[tex]2x - x + 6 = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]2x - x = - 4 - 6[/tex]

Calculate

[tex]x = - 10[/tex]

Hope this helps...

Good luck on your assignment...

can y’all please help me

Answers

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.

Answers

Question

Points A, B and C are all on the

circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°

Work out the size of angle x

Answer:

62°

Step-by-step explanation:

To solve for the above question, we would be using circle theorems.

Step 1

Angle OBD = 90° This is because a radius and a tangent meet at 90°

Step 2

The sum of Angles in a triangle = 180°

180° = Angle OBD + Angle BDO + Angle BOD

180° = 90° + 31° + Angle BOD

Angle BOD = 180° - (90° + 31°)

= 180° - 121°

Angle BOD = 59°

Step 3

Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°

Step 4

The sum of angles of a straight line = 180°

Angle BOD, Angle AOD and Angle x are angles on a straight line

Hence,

180° = Angle BOD + Angle AOD + Angle x

180° = 59° + 59° + x

x = 180° - ( 59 + 59)°

x = 180° - 118°

x = 62°

Therefore Angle x = 62°

Which expressions are equivalent to the one below? Check all that apply.
4^3•4x

Answers

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

What is an expression?

An expression is a combination of symbols and it does not convey full meaning of anything.

How to make equivalent expressions?

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

Learn more about equivalent expressions at https://brainly.com/question/2972832

#SPJ2

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)

Answers

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

If you follow the slope that the two points made  (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:

I hope this helps

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12x-15

Step-by-step explanation:

In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked)  then subtracted 15, which was the fine she had to pay.

Answer:

12x-15

Step-by-step explanation:

I took the test

Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2

Answers

Answer:

The answer is option A.

804.2cm²

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.

Answers

Answer:

No it’s not a translation

Step-by-step explanation:

No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.

Which of the following equations describes the graph?

Answers

1/2x^2 - 2x +1

Step-by-step explanation:

it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)

as it is -1 there has to be a negative sign in equation

so the right one is 2nd one

Answer:

Step-by-step explanation:

the graph is clearly that of a parabola that opens up and has its vertex at (2, -1).  The coefficient of x^2 must be + because the parabola opens up.  

Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:

y + 1 = a(x - 2)^2  or  y = a(x - 2)^2 - 1

Please help me prove that AÊD = B

Answers

Angle x = angle x in both triangles

If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?

Answers

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

[tex]C = 9 * 10^2kg[/tex]

[tex]C = 9 *100kg[/tex]

[tex]C = 900kg[/tex]

[tex]B = 1.8 * 10^5kg[/tex]

[tex]B = 1.8 * 100000kg[/tex]

[tex]B = 180000kg[/tex]

Divide the bigger weight by the smaller weight

[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]

[tex]\frac{B}{C} = \frac{180000}{900}[/tex]

[tex]\frac{B}{C} = {200}{}[/tex]

Multiply both sides by C

[tex]C * \frac{B}{C} = {200}{} * C[/tex]

[tex]B = {200}{} * C[/tex]

[tex]B = 200}C[/tex]

From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow

a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box​

Answers

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2

Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?

Answers

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)

Answers

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

Answer:

D. 1, -1

Step-by-step explanation:

Trust me g

pls i need it aaaaaaaahg

Answers

Answer:

5.1

Step-by-step explanation:

Answer:

1.7√9.18

= 5.4

Hope it helps

Other Questions
please help me out with these questions. It's trigonometry what are the values of a and b? Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster's track.Part AThe first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.g(x) = x3 x2 4x + 4g(x) = x3 + 2x2 9x 18g(x) = x3 3x2 4x + 12g(x) = x3 + 2x2 25x 50g(x) = 2x3 + 14x2 2x 14Create a graph of the polynomial function you selected from Question 2.Part BThe second part of the new coaster is a parabola.Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.Create a graph of the polynomial function you created in Question 4.Part CNow that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.Part DCreate an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster. what is the answer?!?!??! Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which answer gives the best estimate for the number of books Robyn can buy? I need to find the derivative. Im not very good at this so I am answer asap would be sosososo helpful In 2008 a newspaper sold 120 thousand papers, and had 60 thousands people reading online. Their online readership has been increasing by 8 thousand people each year, while their physical paper sales have decreased by 6 thousand papers a year. In what year does online readership exceed physical sales? The agent of a broker-dealer registered in State A, sells unregistered non-exempt securities to customers in State A. These customers lose a substantial sum of money on the investment. Which statement is TRUE Find the perimeter of the following trapezoid:6 ft2.5 ft/ 12 ft2.5 ft8 ft Marko drovev75mile in 1 1/2 hours .how many mile can he he drive in 1 hour An athlete has an enhanced genotype for carbohydrate utilization, however they feel sluggish after they eat carbohydrates, which of the following should the trainer consider?a. The type of carbohydrates being consumedb. Decrease the carbohydrate intakec. Add more caffeine to the daily dietd. They are likely over trained and tired Pulling out of a dive, the pilot of an airplane guides his plane into a vertical circle with a radius of 600 m. At the bottom of the dive, the speed of the airplane is 150 m/s. What is the apparent weight of the 70.0-kg pilot at that point? The center of gravity of an ax is on the centerline of the handle, close to the head. Assume you saw across the handle through the center of gravity and weigh the two parts. What will you discover? state whether it represents a function Below is a partial DNA sequence used to answer the following questions. 5' - TATGCAGCACATT - 3' 3' - ATACGTCGTGTAA - 5'If transcription occurred from left to right, which strand is the template strand?a. 3' - TATGCAGCACATT - 5'b. 5' - TATGCAGCACATT - 3'c. 5' - ATACGTCGTGTAA - 3'd. 3' - ATACGTCGTGTAA - 5' 20 POINTS!! WILL GIVE BRAINLIEST!! ANSWER SOON PLEASE!! You own a restaurant and want to carpet the floor with coins. What kind of coin would you use and why? How much would it cost to cover the floor with the coin you chose? Explain your reasoning. Include calculations in your reasoning. HURRY 20 MIS LEFT! Read this excerpt from "Why Are They Called Black Holes?" Within a circular boundary of about fifty miles from the black hole center, gravity is so strong that massless light cannot escape its pull. This boundary is called the "theoretical event horizon." Imagine observing a black hole from galaxies away. Light can be seen around the event horizon but not within it. The universe is filled with dim light drifting all around, but absolutely no light can be seen inside a circular event horizon. Therefore, the area inside is called a "black hole." Based on this excerpt, which conclusion is most likely true about black holes? Even though there is light inside a black hole, it is not visible. Even though a black hole has gravity, there is nothing inside a black hole. A black hole can only be observed or detected at a short distance. A black hole only releases light that appears black to the eyes Microsoft and a smaller rival often have to select from one of two competing technologies, A and B. The rival always prefers to select the same technology as Microsoft (because compatibility is important), while Microsoft always wants to select a different technology from its rival. If the two companies select different technologies, Microsoft's payoff is 4 units of utility, while the small rival suffers a loss of utility of 2. If the two companies select the same technology, Microsoft suffers a loss of utility of 2 while the rival gains 2 units of utility. Using the given information, fill in the payoffs for each cell in the matrix, assuming that each company chooses its technology simultaneously. Microsoft Technology A Technology B Rival Technology A Rival: , Microsoft Rival: , Microsoft Technology B Rival: , Microsoft Rival: , Microsoft True or False: There is an equilibrium for this game in pure strategies. True False If the coefficient of realism alpha equals 1, then the criterion of realism will yield the same result as the maximax criterion.A. TrueB. False C++ PROGRAM THAT DOES THE FOLLOWING:Problem You Need to Solve for This Lab:You are asked to write an app to keep track of a relatively small music library. The app should load song information from a data file once the app is started. It should allow user to view, add, remove, and search for songs. The app should save the data back to the same data file when the program exits.What Your Program Should Do:Write an interactive text based menu interface (using a loop) that will allow the user to Enter information for a new song Display information for all the songs in the database with index for each song Remove a song by index Search for songs by a certain artist Search for songs by a certain album Quit