estimate the solution to the following system of equations by graphing.
3x+5y=14
6x-4y=9

A. ( 4/3,5/2)
B. ( 7/3, -7/2 )
C. ( -5/2, -7/2)
D. (5/2, 4/3) ​

Answers

Answer 1

Answer:

(101/42, 19/14)

Step-by-step explanation:

Given the following equations

3x+5y=14 ..... 1 * 2

6x-4y=9 ... 2 * 1

__________________

6x+10y=28

6x-4y=9  

Subtract

10y+4y = 28 - 9

14y = 19

y = 19/14

Get the value of x

Since 3x+5y = 14

3x+5(19/14) = 14

3x + 95/14 = 14

3x = 14 - 95/14

3x = 101/14

42x = 101

x = 101/42

Hence the solution is (101/42, 19/14)


Related Questions



Which graph represents this system?
y=3
x+y= 4

Answers

a graph that cuts for y = 3

Find the length of the line AB

Answers

Answer:

the length would be 12.

Step-by-step explanation:

Answer:

[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]

a. 65
b. 67
c. 43
d. 23

Answers

The answer for this problem is a A.65

What are the steps in order of operations

Answers

Answer:

PEMDAS

Step-by-step explanation:

PEMDAS best identifies all of the steps in order of operation

where PEMDAS stands for parentheses exponents multiplication division addition and subtraction

Hope this helps!
PEMDAS .

P = Parentheses ( )
E = Exponents 2^2
M = Multiplication x
D = Division /
A = Addition +
S = Subtraction -

Evaluate the expression, m" ifm = 8 and n = 3.

Answers

Answer:

512

Step-by-step explanation:

8^3 = 512

.................

Answer:

512

Step-by-step explanation:

Given

[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression

= 8³

= 8 × 8 × 8

= 64 × 8 = 512

A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales. ​

Answers

Answer: $268.75

Step-by-step explanation:

First, find the amount he earned from his sales:

5/4% = 1.25% =0.0125

1500(0.0125) = $18.75

Next, add that to his monthly salary:

$250 + $18.75 = $268.75

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)? ​

Answers

Answer:

The answer is B

B) x>3

Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No

Answers

Answer:

no

Step-by-step explanation:

substitute the (x,y) values into the inequality.

4(-4)+5(2) less than or equal to -7

-16+10≤-7

-6≤-7 not a valid answer so ((-4,2) is not a solution

Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you

Answers

Chori tiene un culo bien grabador

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit

Answers

Answer: [tex]4[/tex] pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]

Find the derivative of the function to find out the critical points

[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]

Thus, for 4 pair of shoes profit is maximize.

Answer:

4 pairs of shoes.

Step-by-step explanation:

Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit

Answers

Répondre:

Benoit a 10 ans

Explication étape par étape :

Laisser :

Âge de Thomas = x

Benoit age = y

il y a 5 ans :

x - 5 = 5 (y - 5)

x - 5 = 5y - 25 - - (1)

Aujourd'hui :

x = 3y - - (2)

Mettez x = 3y dans (1)

3 ans - 5 = 5 ans - 25

Recueillir des termes similaires

3 ans - 5 ans = - 25 + 5

-2a = - 20

Diviser les deux côtés par - 2

y = 10

Please help


[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]

Answers

Answer:

a²+b²-18greaterthan or equal to 6a-6b

The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total of $480. How much money did they have after they subtracted the amount they spent for the trash cans and plastic bags? What other information is needed to solve this problem? 1. The number of yards they cleaned up 2. The cost of the trash cans and plastic bags 3. The number of people who were working 4. The cost of cleaning up one yard

Answers

Answer:

2). The cost of the trash cans and plastic bags.

Step-by-step explanation:

As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.

Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.​

Answers

Answer:

I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.

Please answer this, I need help

Answers

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

Someone help me with this please

Answers

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?

Answers

Answer: 7(n + 4)

Step-by-step explanation:

I'm not sure how to explain this one, but I'll try:

Seven times the sum of a number, n, and four

7 times n + 4   (sum means addition)

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?

Answers

Answer:

$20

Step-by-step explanation:

5 copies cost $1.

25 copies cost $5.

So you have to do 100/5=$20 for 100 copies.

Answer:The answer is 20

Step-by-step explanation:

i need help plzzzz!!!!!! find the area

Answers

Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

Write the expression as an exponent:

5^8 x 25
6^15 x 36

Answers

Answer:

a.) 5¹⁰

b.) 6¹⁷

Step-by-step explanation:

a.) 5⁸ × 25

Write 25 in the exponential form with the base of 5.

5⁸ × 5²

To calculate product use exponent rule

5⁸+²5¹⁰

b.) 6¹⁵ × 36

Similarly, 6¹⁵ × 36

Write 25 in the exponential form with the base of 6.

6¹⁵ × 6²

To calculate product use exponent rule.

6¹⁵ + ²6¹⁷

Answer:

[tex] \displaystyle {5}^{10} [/tex]

[tex] \displaystyle {6}^{17} [/tex]

Step-by-step explanation:

Question-1:

we want to rewrite the following expression as an exponent

[tex] \displaystyle {5}^{8} \times {25}[/tex]

remember that 25 is the square of 5 therefore

[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]

recall that,

[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

with that law we obtain:

[tex] \displaystyle {5}^{8 + 2} [/tex]

simplify addition:

[tex] \displaystyle {5}^{10} [/tex]

Question-2:

likewise Question-1 36 is the square of 6 Thus,

[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]

similarly apply law of exponent:

[tex] \displaystyle {6}^{15 + 2} [/tex]

simplify addition:

[tex] \displaystyle {6}^{17} [/tex]

hence,

we have written the expression as an exponent


Solve each equation. Round to four decimal places.
e^x=8

Answers

Answer:

x ≈ 2.0794

Step-by-step explanation:

Given

[tex]e^{x}[/tex] = 8 ( take ln of both sides )

ln [tex]e^{x}[/tex] = ln 8

x lne = ln 8 [ lne = 1 ]

x = ln 8 ≈ 2.0794 ( to 4 dec. places )

Answer:

x ≈ 2.0794

Step-by-step explanation:

[tex] \small \sf \: e {}^{x} = 8[/tex]

Take the natural logarithm of both side of equation

[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex]

[tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]

x = In( 8 )

Write the number in exponential form.

x = In(2³)

Use In(aⁿ) = n × In ( a ) to transform the expression.

x = 3In( 2 ) ≈ 2.07944

Round to four decimal places = 2.0794

Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation

Answers

Answer:

Step-by-step explanation:

Second hand on a clock rotates at rate 360 degrees per 60 seconds.

360 degrees - 60 sec

x degrees - 15 sec

90 clockwise rotation (none hand of a clock rotates counter-clockwise :))

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

18 - (-f) = 91 (With work please)

Answers

18 - (-f) = 91

Subtracting a negative value changes to addition:

18 + f = 91

Subtract 18 from both sides:

F = 73

Answer:

f = 73

Step-by-step explanation:

Solve for f

18 - ( - f ) = 91

Remove the parantheses and change their sign.

18 + f = 91

subtract each side by 18

18 - 18 + f = 91 - 18

calculate

f = 73

(iii) If a, b, c are rational numbers, then
a x (b-c) #ax b-ax c. true or false ​

Answers

Answer:

false

Step-by-step explanation:

answer:ab-ac=ab-ac

Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.

Answers

Step-by-step explanation:

here is the answer to thy question. Feel free to ask for more

20 POINTS
Find the volume of the prism.

Answers

Answer:

v=1/2(13.1+25.4)(17)(15)

v=1/2(38.5)(255)

v=4,908.7 ft³

OAmalOHopeO

Question 3: use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

72 +72=144

180-144=36

the answer is 36°

The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.

So, By the interior angle sum concept,

72° + 72° + x = 180°.

x = 36°.

learn more about triangles here :

https://brainly.com/question/16886469

#SPJ2

Solve the inequality. w/-2<8

Answers

Answer:

w > -16

Step-by-step explanation:

Can someone help me?

Answers

Answer:

C

Step-by-step explanation:

its asking for y, on the graph, the line is placed on point 4

Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?

Answers

Answer:

El área es 2 veces el cuadrado del ancho del rectángulo.

Step-by-step explanation:

El área de un rectángulo viene dado por:

[tex] A = a*l [/tex]

En donde:

a: es el ancho

l: es el largo

Si el largo es el doble del ancho:

[tex] l = 2a [/tex]

Entonces el área es:

[tex] A = a*l = a*(2a) = 2a^{2} [/tex]

Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.

Espero que te sea de utilidad!  

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Finley Company End-of-Period Spreadsheet For the Year Ended December 31 Adjusted Trial Balance Income Statement Balance SheetAccount Title Debit Credit Debit Credit Debit CreditCash 48,000 48,000 Accounts Receivable 18,000 18,000 Supplies 6,000 6,000 Equipment 57,000 57,000 Accumulated Depreciation 18,000 18,000Accounts Payable 25,000 25,000Wages Payable 6,000 6,000Common Stock 30,000 30,000Retained Earnings 3,000 3,000 Dividends 3,000 3,000 Fees Earned 155,000 155,000 Wages Expense 63,000 63,000 Rent Expense 27,000 27,000 Depreciation Expense 15,000 15,000 Totals 237,000 237,000 105,000 155,000 132,000 82,000Net Income (Loss) 50,000 50,000 155,000 155,000 132,000 132,000The entry to close Dividends would be:_____.a. debit Retained Earnings, $3,000; credit Common Stock, $3,000.b. debit Common Stock, $3,000; credit Retained Earnings, $3,000.c. debit Dividends, $3,000; credit Retained Earnings, $3,000.d. debit Retained Earnings, $3,000; credit Dividends, $3,000. In order to use moving averages to forecast a time series, the first step is to select the order k, the number of time series values to be included in the moving average.a) trueb) false Someone pls help me ill give out brainliest pls dont answer if you dont know Be sure to show your work and solve for e:(264 + 3 x 6) divided by 3 = e El Espritu Santo da un conocimiento ms profundo del mensaje de_____ Sobre lo que hemos visto y en pocas palabras qu es lo que ms les llama la atencin? es de religin Identify the verbs as transitive or intransitivea. we run every morning.b. she murmured a little sadly.c. she must dream of the soft look. the flowers of the ____ bloom with sunrise and close with sunset. Which of the following is a like radical to cube rt of 7x Please answer this to the best of your ability The price elasticity of demand for a good is likely to be elastic __________. A. the budget share spent on the good. B. the number of close substitutes for the good. C. the available time during which consumers can adjust. D. all of the above. Shjdksjcksmcjcsnuckamc mt hnh vi c th ng thi l vi phm php lut hnh s va l vi phm php lut hnh chnh, nhng khng th ng thi va l vi phm php lut hnh s va l vi phm php lut dn s ng hay sai the id selector uses the id attribute of an html element to select a specific element give Example ? please help! I cant figure this out! The role of the Federal Open Market Committee is to: A. appoint the Federal Reserve Board of Governors. B. enforce Federal Reserve rules on banks. C. set monetary policy for the United States. D. establish new Federal Reserve districts rotation 180 degrees about the origin. 3. Find the equations of the lines that form the sides to the polygon shown below. What type of polygon is it? Explain your reasoning. wanted free elections in eastern europe solve this question please! it have 3 options which one of them is correct option make slogan about showing care of environment and natures