Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5

Answers

Answer 1

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

calculate the area please help

Answers

Answer:

99 cm²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

(11 * 18) : 2 =

198 : 2 =

99 cm²

Which of the following is NOT an equivalent expression for the confidence interval given by 161.7 Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9 O C. 175.6 + 13.9
OD. (161.7.189.5)

Answers

According to the confidence interval given, the non-equivalent expression is:

A. [tex]161.7 \pm 13.9[/tex]

The interval given is:

[tex]161.7 \leq \mu \leq 189.5[/tex]

Which can also be written as: (161.7.189.5)

The point estimate is the halfway point of the interval, hence:

[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]

The margin of error is half the difference of the bounds, hence:

[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]

According to the point estimate and to the margin of error, the interval can also be written as:

[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]

[tex]175.6 \pm 13.9[/tex]

Hence, the only expression which is non-equivalent is:

A. [tex]161.7 \pm 13.9[/tex]

You can learn more about confidence intervals at https://brainly.com/question/25779324

2. Write an equation in slope-intercept form for the line with a slope of -9 and a
y-intercept of 18.

Answers

Answer:

y = -9x + 18.

Step-by-step explanation:

The general form is y = mx + c , where m = the slope and c = y-intercept.

[tex]\huge\boxed{Hi \: there! :)}[/tex]

We are given the slope of the line: -9.

We are also given its y-intercept: 18.

Slope-Intercept Form:

[tex]\huge\sf\{y=mx+b[/tex]

Where

m is the slope and b is the y-intercept.

Plug in the values:

y=-9x+18

[tex]\huge\boxed{Therefore, \: our \: equation \: is: y=-9x+18}[/tex]~An Unknown Dreamer

Good luck!

on what interval (s) are f(x) = x3 2x²+x+6 decreasing?

Answers

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

If you are talking about 2x^2 + x + 6 then the intervals would be decreasing based on where it is based on the vertex,
-b/2a = -1/2, plug -1/2 in 1/2 -1/2 + 6 = 6, vertex = (-1/2, 6) so the equation is decreasing (infinity) > x > -1/2

A box plot is shown

O

2

4

6

8

10

12

Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.

14

16

18

20

22 24 26

28

30

Minimum:

Maximum:

Median:

First Quartile:

Third Quartile:

1

2

3

4

11

5

12

6

ما تا ته

13

14

8

21

15

22

16

10

23

17

24

18

25

19

26

20

27

28

29

30

Please answer fast

Answers

Answer:

O

2

4

6

8

10

12

Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.

14

16

18

20

22 24 26

28

30

Minimum:

Maximum:

Median:

First Quartile:

Third Quartile:

1

2

3

4

11

5

12

6

ما تا ته

13

14

8

21

15

22

16

10

23

17

24

18

25

19

26

20

27

28

29

30

Please answer fast

What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?

Answers

A rumba 700$ explanation because I said so so yeha

it took ken 2/8 hour to finish a puzzle ken told his mom how long it took with the fraction in simplest form how many hours did ken tell his mom

Answers

2/8 simplified is 1/4

A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.

Answers

337.5 miles, or 337 miles!

Answer: It will be able to travel 162 miles

Step-by-step explanation:

What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?

Answers

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation: not my answer

Help help help help help help help help

Answers

Answer:

y=2

y=4

y=6

y=8

Step-by-step explanation:

please mark brainlist

The Kicking Cacti and the Sprinting Stingrays met in their town's annual kickball championship this year. They were so evenly matched that the game lasted 11 innings! The Stingrays had 3 pitchers, and each of them pitched for the same number of innings.
How long did each of the pitchers for the Stingrays pitch?

Answers

Answer:

11/3 = 3 2/3 innings

Step-by-step explanation:

3 pitchers = 11 innings

1 pitcher = x innings

in the first equation, divide both sides by 3 to get 1 pitcher on one side

1 pitcher = 11/3 innings = 3 2/3 innings

how much solutions does 2x = 2x + 1 have?

Answers

Answer:

no solution

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

A certain hybrid car with a 16 gallon gas tank can travel 35 miles on battery alone and then it uses its gas. The car can then travel 45 miles per gallon of gas used. Assume the car starts with a full tank of gas. Fill in the missing values.

Answers

Answer:

X miles ( 35, 125, 265, 310)

m = 35 + 45x

755

Step-by-step explanation:

Hope this helps, btw have an awesome day

please i need help on the question

Answers

Answer:

A

D

B

C

Step-by-step explanation:

We can simplify the expressions for easier comprehension:

A. 60.7 x 10^-1 = 6.07

B. 6.07 x 10^3 = 6,070

C. 0.67 x 10^4 = 6,700

D. 6.7 x 10^2 = 670

Now, we can order them in ascending order (least to greatest):

A

D

B

C

If answer is correct you will be marked as brainliest
What is the discriminant of the polynomial below?
4x^2+4x+1

A. 32

B. -12

C. -4

D. 0

Answers

Answer:

Discriminant is [tex] {b}^{2} - 4 \times a \times c [/tex]

[tex]16 - 4 \times 4 \times 1 = 0[/tex]

What is 1.231 rounded to the nearest hundredth?​

Answers

1.23 would be your answer.

Have a great day! :)

A pine tree measured 40 1 / 2 feet tall. Over the next 7 1 / 2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was the average yearly growth rate of the height of the tree?

Answers

The average yearly growth rate of the height of the tree is 2 1/3 feet

Given:

original height of the pine tree = 40 1/2 feet

Height in next 7 1/2 years = 57 feet

Change in height = Height in next 7 1/2 years - original height of the pine tree

= 57 height - 40 1/2 feet

= 17 1/2 feet

Average growth rate yearly = Change in height / number of years

= 17 1/2 feet ÷ 7 1/2 years

= 35/2 ÷ 15/2

= 35/2 × 2/15

= (35 × 2) / (2 × 15)

= 70/30

= 2 10/30

= 2 1/3 feet

Therefore, the average yearly growth rate of the height of the tree is 2 1/3 feet

Learn more about fraction:

https://brainly.com/question/1622425

Multiply. Write the answer in simplest form. 3/7 x 2 5/6

Answers

193/42

3×6+25×7÷4218+175÷42193/42

You start at (5, 0). You move left 1 unit and up 1 unit. Where do you end?

Answers

Answer:

(4; 1)

Step-by-step explanation:

Look at the picture.

(x, y)

left 1 unit: (5 - 1 = 4)

up 1 unit: (0 + 1 = 1)

What is the slope of the line?

Answers

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

Pick two points on the graph: (4, -5) and (1, -3)

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

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

[tex] = \frac{ - 5 + 3}{3} [/tex]

[tex] = - \frac{2}{3} [/tex]

Find the equation for a polynomial f(x) that satisfies the following:
- Degree 5
• Root of multiplicity 2 at x = 3
- Root of multiplicity 1 at x = 1
• Root of multiplicity 2 at x = 3
- y-intercept of (0, -162)

Answers

Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²

Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)

Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²

Finally we get this expression : (x-3)²(x+3)²(x-1)

This expression is a polynomial of degree 5 but what is the y intercept of it ?

Basically, we need to replace x by zero and the value of the expression will be the y intercept :

let x = 0

then ,

(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162

We need an y intercept of value = -162

Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)

satisfies all the required condition

Good Luck

A movie theater charges ​$7.00 for adults and ​$2.00 for senior citizens. On a day when people paid for​ admission, the total receipts were ​$1225. How many who paid were​ adults? How many were​ seniors?

Answers

Answer:

7.00+2.00=9.00

2.00-7.00=5.00

plz helppppppppppopppppp

Answers

Answer:
Measure of 6 is 143 and 7 is 37
Step by step explanation:

Can the sum or multiplication of two palindromic numbers be another palindromic number?​

Answers

Answer: No.

Step-by-step explanation:

If you multiply 1001 by 1001 it's not another palindromic number.

Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3

Answers

Answer:

y=1/3x-8

Step-by-step explanation:

The slope intercept form of a line is y=mx+b

m stands for slope and b stands for y intercept

So ... simply put 1/3 in for m and -8 in for b

Which of the following is a correct interpretation of the expression 3+(-7)
Thanks

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]

Step-by-step explanation:

The correct interpretation of 3+(-7) is 3-7, simply

Answer:

The answer will be

3+(-7)

The sum of positive and negative is negative

So 3+(-7) is 3-7

= -4

Step-by-step explanation:

Hope it helps

Please Mark as brainliest

What is the equation of a circle with center at (4,-6) and radius of 5?​

Answers

Answer:

Since the centre of the circle is (−4,−5) and its radius =6

Then, the equation of the circle is

⇒(x−(−4))

2

+(y−(−5))

2

=6

2

⇒(x+4)

2

+(y+5)

2

=36

⇒x

2

+8x+16+y

2

+10y+25−36=0

⇒x

2

+y

2

+8x+10y+5=0

Step-by-step explanation:

Paki brainlilest na lng po salamaf

What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?

Answers

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

It’s number 5 what is the domain and range plz help urgent

Answers

Answer:

Domain: -2,-1,0,3 Range: -2,-1,0,3

Step-by-step explanation:

The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)

What is the slope of the line containing the points (17,92) and
(21, 44)?

Answers

Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

Other Questions
Which American political group is the MOST collectivist in its beliefs?A. DemocratsB. conservativesC. LibertariansD. Republicans "A letter will have been written by him" change into question does any one know how to do this What is the word that makes up the verb mood shift in this sentence. Note this is only ONE word not two.Sentence: If Josh were to run his errands now, he will have time to play video games later. which ethical principle reflects the idea that everyone is granted a moral norm of society 4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presenin the culture to start, how many are in the culture after 3 hours? The Caste System had five main castes, or social classes. The lowest of these five, the outcasts of society, were known as theQuestion 5 options:a. Untouchablesb. Sudrac. Bhrahmind. Sanskrit Please help asapppppp!!!!! What do illegal hunters want from elephants? A. skin B. ivory C. toenails Caleb draws two triangles and claims that the triangles are congruent. A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top? Solve for x for 1 and 2 s.p. is 4000, profit is 25% than find c.p.please explain itt cupcakes The equation y = 2x models the cost for cookie orders from the Dotted Box Bakery, where x is number of cookies and y is cost in dollars. What is the cost per cookie? Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but its not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint What is the most common things people do out in the open? Can someone plz help me? :( Determine whether the quadratic function shown below has a minimum ormaximum, then determine the minimum or maximum value of the function.f(x) = 2x2 - 4x-8 Solve for the value of X A particle moves along the x-axis so that at time t 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is the particle at rest?