Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x+4y= 39
2x + 4y = 14
A. (3,2)
B. (5,1)
C. (5,4)
D. (3,4)

Answers

Answer 1

Answer:

The answer is B.

Step-by-step explanation:

When Elimination method is applied, you have to eliminate one of the variables from both equations. Firstly, both equations contain 4y so you can subtract it :

[tex]7x + 4y = 39 - - - (1)[/tex]

[tex]2x + 4y = 14 - - - (2)[/tex]

[tex](1) - (2)[/tex]

[tex]7x + 4y - 2x - 4y = 39 - 14[/tex]

[tex]5x = 25[/tex]

[tex]x = 25 \div 5[/tex]

[tex]x = 5[/tex]

Next, you have to substitute x = 5 to any equations. I will choose to put in (2) :

[tex]substitute \: x = 5 \: into \: (2)[/tex]

[tex]2(5) + 4y = 14[/tex]

[tex]10 + 4y = 14[/tex]

[tex]4y = 14 - 10[/tex]

[tex]4y = 4[/tex]

[tex]y = 4 \div 4[/tex]

[tex]y = 1[/tex]

Therefore, put your answer in coordinate form :

[tex]x = 5 \\ y = 1[/tex]

[tex](5,1)[/tex]


Related Questions

math question is attached below
and please provide the right answer and show your work.

Answers

14 units, do 3.14•9 then divide by 2

Answer:

[tex]V=37.68 \text{ units}^3[/tex]

Step-by-step explanation:

[tex]$V=\frac{\pi r^2 h}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 2^2 \cdot 9}{3} $[/tex]

[tex]$V=\frac{3.14 \cdot 36}{3} $[/tex]

[tex]$V=3.14 \cdot 12 $[/tex]

[tex]V=37.68 \text{ units}^3[/tex]

A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15

Step-by-step explanation:

15 options and 8 odd numbers

Answer: 9/14

Step-by-step explanation:

There are 3 blue cards, 3 odd numbered red cards, and 3 odd numbered green cards. 3 + 3 + 3 = 9

Red - R1, R2, R3, R4, R5

Blue - B1, B2, B3

Green - G1, G2, G3, G4, G5, G6

= A total of 14 cards

Answer = 9/14

(This answer is verified and was the correct answer in the program)

Which of the following are mathematical sentences? Check all that apply.
A. 5- V
B. 2 <3
c. 4 + 3 = 7
D. G

E. 7
F. 5-d = 9
Need help

Answers

C and F

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

Answer:

B. 2 <3 and C. 4 + 3 = 7 and F. 5-d = 9

Please help me I need this answer very bad (Picture Attached)​

Answers

Answer:

median                                              2nd was the answer

Step-by-step explanation:

plz help me with these 2 problems ill mark u brainliest

Answers

Answer:

OK, here you go

Step-by-step explanation:

These are the nets  

A. 167 sq. in
B. 248 sq. in
C. 340 sq. in
D. 375 sq. in ​

Answers

Answer:

find the area of all the shapes

Base x height / 2 = area of triangle

12x10=120/2=60

there are 4 triangles so 60 x 4 = 240 square inches

length x width = area

10 x 10 = 100

240+100=340

C. is the answer

Hope this helps

Step-by-step explanation:

Look at the picture below. Urgent help please!!!!

Answers

X = about 11.5

Look at the image and I’ll be glad to explain more.

Answer:

x≅11.49 or x=2√33

Step-by-step explanation:

8^2+x^2=14^2

64+x^2=196

(subtract 64 from both sides)

x^2=132

(square root both sides)

x≅11.49

Determine the root of the equation
f(x) = e2x- x-6 closet to the point 0.95
Leave
your answer to five decimal places

Answers

Answer:

0.97087

Step-by-step explanation:

Given the function:

[tex]f(x) = e^{2x} - x - 6[/tex]

Its first derivative is:

[tex]f'(x) = 2e^{2x} - 1[/tex]

Using Newton's method:

[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]

and starting with the point:

[tex]x_1 = 0.95[/tex]

we get:

[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]

[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]

[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]

[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]

[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]

[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]

[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]

a metal pole was placed in the ground and stands 30 feet high. two strands of lights were strung down from the top of the pole, forming a 46 degree angle to the ground. which theorem would be used to prove that the two strands of lights are equal in length?

SSS
AAS
ASA
SAS​

Answers

Answer:

AAS

Step-by-step explanation:

angle 46 degree rt.angle made by pole to the ground common side formed by the pole

Hope this helps!

A regular heptagon has an apothem of approximately 6.7 cm and a perimeter of approximately 45.5 cm.
Find the area of the heptagon.

Answers

Answer:

304.85 cm²

Step-by-step explanation:

The area (A) of a polygon is calculated as

A = pa ( p is the perimeter and a the apothem ) , thus

A = 45.5 × 6.7 = 304.85 cm²

The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule with the coordinates of its vertex.

Answers

Answer:

For  [tex]f(x)=6(x-5)^2-9[/tex]   the vertex is: (5, -9)

For  [tex]f(x)=9(x+5)^2-6[/tex]  the vertex is: (-5, -6)

For  [tex]f(x)=5(x-6)^2+9[/tex]  the vertex is: (6, 9)

For  [tex]f(x)=6(x+9)^2-5[/tex]  the vertex is: (-9, -5)

For  [tex]f(x)=9(x-5)^2+6[/tex]  the vertex is: (5, 6)

Step-by-step explanation:

Let's identify the vertex pair [tex](x_v,y_v)[/tex] from each equation:

A)  [tex]f(x)=6(x-5)^2-9[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=-9[/tex] , that is: (5, -9)

B)  [tex]f(x)=9(x+5)^2-6[/tex]  corresponds to [tex]x_v=-5\,\,\,and\,\,\,y_v=-6[/tex] , that is: (-5, -6)

C)  [tex]f(x)=5(x-6)^2+9[/tex]  corresponds to [tex]x_v=6\,\,\,and\,\,\,y_v=9[/tex] , that is: (6, 9)

D)  [tex]f(x)=6(x+9)^2-5[/tex]  corresponds to [tex]x_v=-9\,\,\,and\,\,\,y_v=-5[/tex] , that is: (-9, -5)

E)  [tex]f(x)=9(x-5)^2+6[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=6[/tex] , that is: (5, 6)

The answer is (vertex (5,-9) and using Tex

The domain of f(x) is the set os all real numbers greater than or equal to 0 and less than or equal to 2. True of false

Answers

Answer:

True

Step-by-step explanation:

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Diagram of how a function relates two relations.

Figure 2

We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write

(

0

,

1

0

0

]

(0, 100]. We will discuss interval notation in greater detail later.

Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.

Before we begin, let us review the conventions of interval notation:

The smallest term from the interval is written first.

The largest term in the interval is written second, following a comma.

Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.

Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.

The table below gives a summary of interval notation.

Summary of interval notation. Row 1, Inequality: x is greater than a. Interval notation: open parenthesis, a, infinity, close parenthesis. Row 2, Inequality: x is less than a. Interval notation: open parenthesis, negative infinity, a, close parenthesis. Row 3, Inequality x is greater than or equal to a. Interval notation: open bracket, a, infinity, close parenthesis. Row 4, Inequality: x less than or equal to a. Interval notation: open parenthesis, negative infinity, a, close bracket. Row 5, Inequality: a is less than x is less than b. Interval notation: open parenthesis, a, b, close parenthesis. Row 6, Inequality: a is less than or equal to x is less than b. Interval notation: Open bracket, a, b, close parenthesis. Row 7, Inequality: a is less than x is less than or equal to b. Interval notation: Open parenthesis, a, b, close bracket. Row 8, Inequality: a, less than or equal to x is less than or equal to b. Interval notation: open bracket, a, b, close bracket.

A house is purchased at a selling price of $285,000. The bank requires a 15% down payment. The current mortgage rate is 3.5%. Determine the amount to be financed.

Answers

Answer:

[tex]\large \boxed{\$242250}}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcr}\text{Selling price} & = & \$285000 \\-\text{Down payment} & = &-0.15 \times \$285000 =\qquad -42750\\\text{To be financed}& = & \mathbf{\$242250}\\\end{array}\\\text{The amount to be financed is $\large \boxed{\mathbf{\$242250}}$}[/tex]

PLEASE HELP 1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter
months. When spring arrives, the warm air gradually melts the ice, causing its thickness to
decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of
the sheet of ice and t represents the time in weeks.
a. What is the initial value of this function?

b. What is the rate at which the ice sheet is melting?

c. How thick will the ice sheet be after 3 weeks?

Answers

Answer:

a). 2 meters

b). 0.25 meters per week

c). 1.25 meters

Step-by-step explanation:

Thickness of the ice sheet on the lake = 2 meters

Thickness decreases with a constant rate and thickness is modeled by the function,

h(t) = 2 - 0.25t  [t = time or duration in weeks]

a). Initial value of this function will be it's y-intercept,

h(t) = 2 meters

b). Rate of the melting of this sheet  (slope of the line) = 0.25 meter per week

c). After 3 weeks or t = 3 weeks,

h(3) = 2 - 0.25 × (3)

      = 2 - 0.75

      = 1.25 meters

HURRY, I'M BEING TIMED ON STUDY ISLAND! On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 3 p.m., they had sold 110 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?

Answers

Answer:

I say the inequality with the greater than or equal

Step-by-step explanation:

They want to reach there goal so it’s more or equal to

Wich is the result of 23*1/5?

Answers

Answer:

The answer is [tex]\frac{23}{5}[/tex] or [tex]4.6[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex]23 \times \frac{1}{5}[/tex]

-Multiply [tex]23[/tex] and [tex]\frac{1}{5}[/tex] to get

[tex]23 \times \frac{1}{5} = \frac{23}{5} = 4.6[/tex]

So, now you have found the answer.

Answer:

23/5 as an improper fraction or  4 3/5 as a mixed number

or 4.6 as a decimal or 460% as a percent

Step-by-step explanation:

What I did: 23/1 * 1/5

For this, you just multiply numerators and denominators, getting 23/5 as your answer.

Then I simplified that fraction to get 4 and 3/5 as a mixed number. There's a number of ways you can do this, but I just knew 23 goes into 5, 4 times and added the remaining into the fraction.

For the decimal I knew 4 is just 4 as a whole number and i calculated 3/5 as .6 or 60 percent.

For the percent I just removed the decimal, or in other words, shifted the decimal 2 times to the right.

Which expression is equivalent to

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)

Answers

Answer:

hmm i think its answer B hope i helped :)

Step-by-step explanation:

What did Mozzarella say to cheddar? It’s part of a math paper it’s a puzzle please help if you know the joke

Answers

Answer:

get out of my way mozzarella is the best

Answer:

I have a more cheesier smile than you!

Step-by-step explanation:

Um... Well that's the version I thought of but it might be different on your worksheet.

You bought carpet for a room that measures 18 feet by 14 feet Carpet costs $4.00 per square yard. How much did you pay?

Answers

Answer:

$112

Step-by-step explanation:

18 × 14 = 252

252 ft = 84 yrds

84 yrds = 28 sq yrds

4 × 28 = 112

Step-by-step explanation:

The area of the carpet is 18 * 14 = 252 sq. ft. In one sq. yard there are 3 * 3 = 9 square feet so 252 / 9 = 28 sq. yards. That means you pay 28 * 4 = $112.

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Answers

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

The measure angle RST is 99 degrees.

To find measure angle RST.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

SU is angle bisector of <RST. So it can divide into 2 parts.

Measure angle RST= measure angle RSU+ measure angle UST

Measure angle RST=81+18

Measure angle RST=99 degrees

So, the measure angle RST is 99 degrees.

Learn more about angle here:

https://brainly.com/question/16833387

#SPJ2

The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16

I'm asking it again cause I got an answer that had nothing in it!

Answers

Answer:

The answer is 3:6 for above probability

Eveline made a scale drawing of a patio she is planning to build. NEED NOW WILL MARK BRAINLIEST AND WILL BE SO HAPPY AND WILL CURE MY DEPRESSION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 1 centimeter = 2.5 meters. Triangle A B C. Side A is 12 centimeters, side B is 5 centimeters, and side C is 13 centimeters. Which proportion could Eveline use to find the length of side A? StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 13 centimeters over x meters EndFraction StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction StartFraction 12 centimeters over 2.5 meters EndFraction = StartFraction x centimeters over 1 meter EndFraction StartFraction 1 centimeter over 12 meters EndFraction = StartFraction 2.5 centimeters over x meters EndFraction

Answers

Answer:

I believe the answer is B.

I couldn't read the problem very well, so please tell me if I'm wrong!

I hope I helped and if I was correct, please mark!

Explanation:

Answer:

B

StartFraction 1 centimeter over 2.5 meters EndFraction = StartFraction 12 centimeters over x meters EndFraction

1/2.5 cm/m= 12/x cm/m

Step-by-step explanation:

Please mark brainliest!

2. (08.01) Two lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? (4 points) It is (18, 9). It is (9, 18). There are infinitely many solutions. There is no solution.

WILL GIVE BRAINLIEST

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Given the 2 equations

2x + 2y = 18 → (1)

x + y = 9 → (2)

Equation (1) is twice (2)

Thus the equations are equal and will have infinite solutions

What is the interquartile range of this data?


6

7

8

9
Box-and whisker plot titled Temperatures in Celsius ranging from 12 to 48 with the five-number summary from left to right 18, 25, 28, 33, and 42

Answer asap who every answer first I will give brainiest. and it must be a real answer.

Answers

Answer:

8

Step-by-step explanation:

I just took the test!

A company is designing a new cylindrical water bottle. The volume of the bottle will be 149 cmcubed. The height of the water bottle is 8.7 cm. What is the radius of the water​ bottle? Use 3.14 for pi.

Answers

Answer:

2.33

Step-by-step explanation:

If you put the numbers into the radius formula you should end up with this number hope this helps:)

If 1/5^-(2x-1)=3125 find x

Answers

Answer:

x =-2

Step-by-step explanation:

1/5^(2x - 1) =3125

5^-2x +1 =5^5

1-2x =5

-2x =5-1

-2x =4

X =4/-2

x =-2

Answer:

1/5^-(2x-1) = 3125

Write them in positive exponent form

We get

5^(2x-1) = 3125

5^(2x -1) = 5^5

2x - 1 = 5

2x = 5+1

2x = 6

x = 3

Hope this helps.

Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate​

Answers

Answer:

€800 = $1200

New exchange rate =

750/1200 = 1.6

What is equivalent to 2 1/4

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

9/4 is the mixed fraction version.

Step-by-step explanation:

SO it would aslo be equivalnet

If 35gm of pure drug are contained in 150ml, how many grams are contained in 75ml?

Answers

this method can be very useful, so please try to remember it
Other Questions
A human digestive enzyme breaks down its substrate at a fast rate at 35 C.What would occur if the enzyme and substrate were kept at 75 C?A The enzyme would stop working and be denatured.B The reaction would continue at the same rate.C The reaction would take place more quickly.D The reaction would take place more slowly.Thank you! Read the excerpt from On the RoadOne day I was hanging around the campus and Chad and Tim Gray told me Dean was staying in a cold-water pad inEast Harlem, the Spanish Harlem. Dean had arrived the night before, the first time in New York, with his beautiful littlesharp chick Marylou; they got off the Greyhound bus at 50th Street and cut around the corner looking for a place to eatand went right in Hector's, and since then Hector's cafeteria has always been a big symbol of New York for Dean.What does this excerpt reveal about the beat generation?The beat generation was made up of middle-class youth who were seeking work after graduating college.The beat generation was made up of young people who were just beginning their lives as independent adults.The beat generation was made up of middle-aged people who had become disillusioned with life.The beat generation was made up of privileged youth who had begun attending high-profile social events. Jake is earning money for a new TV. So far, he has put $54.29, $87.20, and $21.44 into his savings account. How much money has Jake saved? Find the surface area of the cylinder.7 cm5 cm Which argument would most likely be attributed to a Progressive reformer?A. "Reduce the power of corrupt party leaders."B. "Make it harder for minorities to achieve their goals."C. "Decrease the amount of money spent on campaigns."D. "Give corporate managers more influence over policy." Explain, in 1 paragraph or more (with at least 5-7 complete, grammatically correct sentences), why studying ancient civilizations such as Greece and Rome is important today. Give 2 examples of ways that some sort of Greek/Roman culture is seen in our own culture. HINT: Think about architecture, the naming of things, inferences you've made in other pieces of literature and/or movies. Journalize the entries to record the following: Check is issued to establish a petty cash fund of $750. The amount of cash in the petty cash fund is now $176. Check is issued to replenish the fund, based on the following summary of petty cash receipts: office supplies, $248; miscellaneous selling expense, $212; miscellaneous administrative expense, $96. (Because the amount of the check to replenish the fund plus the balance in the fund do not equal $750, Record the discrepancy in the cash short and over account.) . a. Journalize the entry to establish the petty cash fund. b. Journalize the entry to replenish the petty cash fund. SavedQuestion 3 (10 pointsBecause the members of the chemistry class did poorly on the exam,______Had to take a make-up exam.A. They B. It What is the definition of a nested function? which table represents a linear function Russ and Linda are married and file a joint tax return claiming their three children, ages 4, 7, and 18, as dependents. Their adjusted gross income for 2019 is $415,300. What is Russ and Linda's total child and other dependent credit for 2019? Marshall Company purchases a machine for $200,000. The machine has an estimated residual value of $80,000. The company expects the machine to produce four million units. The machine is used to make 440,000 units during the current period. If the units-of-production method is used, the depreciation expense for this period is: Which graph represents a function with direct variation?help asap!! Abcd is a trapozium what Is the the value of x of a is 110 (02.03 LC) Read and choose the option with the correct word or words to complete the sentence. Laura y yo ayudamos a nuestro pap a lavar los platos. Hoy ________ y maana Laura lava los platos. A. a quin le toca B. en qu le toca C. me toca a m D. te toca a ti 9. A pyramid has a height of 10 inches and a base with an area of 21 square inches.Find the volume of the pyramid.F210 inG 105 inH 70 inJ 35 in plz solve ziz m4+m5 What is a theme found PLLZZZZZZZZZZZZ HELP ME :((((((((( which of the following represents 8 square root x^3 in exponential form