determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. x+y=5 2x-y=-3

Answers

Answer 1

Answer:

(2/3, 13/3)    (Exactly one solution)

Step-by-step explanation:

Write these equations in a column:

 x+y=5

2x-y=-3

Note that we can eliminate y immediately by adding these two equations together. We get:

3x = 2, so that x = 2/3.

Substituting 2/3 for x in the first equation, we get:

2/3 + y = 5.  Clear out fractions by multiplying all three terms by 3:

2 + 3y = 15, or 3y = 13.  Then y = 13/3, and the solution is

(2/3, 13/3)      There is exactly one solution.

Answer 2

Answer:

Hi! The answer to your question is One Solution.

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka


Related Questions

Please help, I am extremely bad at graphing.

Answers

The correct answer is c


Find the interest earned in Mrs. Charlie's account after 4 years, if she had
deposited $11,000 in her account. The bank pays a compound interest of 8.4%
annually.

Answers

Answer:

11012.4

Step-by-step explanation:

4 + 11000 = 11004

11004 + 8.4 = 11012.4

8 yd
6 yd
15 yd
10 yd
Answer:




please help!:)

Answers

Answer:

What's the question???

Step-by-step explanation:

The data show the number of pieces of mail delivered to a single home address each day for three weeks.

4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2

Which statement is true about a graph representing the data? Select two options.
The number line of a dot plot would start at 1.
A dot plot would show 7 points for numbers greater than 2.
The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.
A histogram would have a maximum of 7 bars.
A histogram should not show a bar that includes 0 pieces of mail.

Answers

Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

What is a Dot Plot and a Histogram?

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

https://brainly.com/question/14577528

Which expression is equivalent to 36a-12b?

3(6a-2b). 6(6a-2b). 3(6a+2b). 6(6a+2b)

Answers

Answer:

6(6a-2b)

Step-by-step explanation:

Answer:

6(6a-2b)

Step-by-step explanation:

if you multiply the 6 by what's in parenthesis you get 36a-12b

0.8(m - 5) = 10

What is m equal to?

Answers

Answer:

Step-by-step explanation:

I can help

Step 1

0.8(m - 5) = 10  Simplify

Step 2

0.8(m - 5) = 10  simplify the equation

0.8m-4=10

Step 3

0.8m-4=10  Add 4 to the sides

0.8m=14

Step 4

0.8m=14  Divide the sides by 0.8

17.5

Answer

m=17.5

Hope this helps

How many coins are in each pouch?

Answers

Each bag has 7
The 2 bags have 14 together and 14 divided by 2 =7 Hope this gives you a head start!

ABCD is an isosceles trapezoid.
measure of angle b=
measure of angle d=
measure of angle c=

Answers

Answer:

∡b = 53°

∡d = 127°

∡c = 127°

Step-by-step explanation:

in trapezoids, the two top angles are equal and the two bottom are equal

also, there are 360 degrees in any 4-sided polygon

53 + 53 + x + x = 360

2x + 106 = 360

2x = 254

x = 127

Answer:

127

Step-by-step explanation:

A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that​ men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts​ (a) through​ (c) below.

Answers

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

Assume that θ is an acute angle in a right triangle satisfying the given conditions. Evaluate the 5 remaining trigonometric functions. Sketch a triangle in the correct quadrant and label.

sec θ= 17/15
sin θ<0

Answers

Answer: See step by step. Replace the x with theta

Step-by-step explanation: Since sin is less than zero, and secant is positive. This means the trig values are in Quadrant 4.

We know that secФ=17/15. We need to find sin,cos,tan,csc, and cot.

We can find tangent by using the identity

[tex]tan^{2} (x)+ 1=sec^{2} (x)[/tex] where x is theta.

[tex]tan^{2} (x)+1=\frac{289}{225}[/tex]

[tex]tan^{2} (x)+\frac{225}{225} =\frac{289}{225}[/tex]

[tex]tan^{2}(x)=\frac{64}{225}[/tex]

tan x=[tex]\frac{8}{15}[/tex], Tangent in the fourth  quadrant is negative  so  the answer is instead

[tex]tan x= -\frac{8}{15}[/tex]

We can find cotangent by taking the recipocial of tan so

[tex]cot=-\frac{15}{8}[/tex]

We can find cos by taking reciprocal of sec remeber that cosine is positive in 4th quadrant so the answer is

[tex]cos =\frac{15}{17}[/tex]

We can find sin by doing quoteint identies.

[tex]\frac{sin x}{cos x} =tan x[/tex]

[tex]\frac{ sin x}{15/17} =-\frac{8}{15}[/tex]

[tex]sin x= -\frac{8}{17}[/tex]

To find csc, take reciprocal of sine.

[tex]csc=\frac{-17}{8}[/tex]

Please help, I'm having a hard time with this ;-;

Answers

Answer:

A

Step-by-step explanation:

3 times steep means slope is 3 times

slope=4

new slope =3×4=12

translated 7 down means y intercept-7=1-7=-6

so new eq. is y=12x-6

Answer:

A

Step-by-step explanation:

So we know that the slope is 4, and we want to make it 3 times as steep, so that would be 12. The y-intercept is one and we want to move it down 7 units, 6-7= -1. So our final answer would be y= 12x-6!

pls help will give u brainlist

Answers

option D is the correct answer.

Work out m and c for the line:y=3x-2

Answers

y = mx + c
m = gradient
c = y-intercept

Therefore, m=3 and c= -2

PLEASEEEEEEEE HELLLP MEEE!!! GIVING 95 POINTS!!!

Answers

Answer:

1) markdown

2) percent error

3) principle

4) percent change

Step-by-step explanation:

markdown

percent error

principle

percent change

Hope I could help <3

The equation of the line A is 3x+2y=10.line B is parallel to line A and passes through the points (4,6).find the equation of the line B.​

Answers

Answer: [tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

To find the equation of line B, we need to find the slope first, then the y-intercept. We first want to convert line A into slope-intercept form, so we can find the slope.

[tex]3x+2y=10[/tex]            [subtract both sides by 3x]

[tex]2y=10-3x[/tex]            [divide both sides by 2]

[tex]y=5-\frac{3}{2}x[/tex]

With the slope-intercept form of line A, we can see that the slope is [tex]-\frac{3}{2}[/tex]. We take the slope and the given point (4,6) to find the y-intercept of line B.

[tex]y=-\frac{3}{2}x+b[/tex]            [plug in (4,6)]

[tex]6=-\frac{3}{2}(4)+b[/tex]         [multiply]

[tex]6=-6+b[/tex]              [add both sides by 6]

[tex]b=12[/tex]

With the y-intercept, we know the equation for line B is [tex]y=-\frac{3}{2}x+12[/tex].

Billy got 4 hits in his last 20 at-bats. Based upon this information, how many hits would you expect Billy to get during his next 50 at-bats?

Answers

Answer:

10

Step-by-step explanation:

4 hits                     x hits

_______ =     _________

20 at-bats        50 at -bats

Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest

Answers

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

In ΔQRS, q = 960 cm, r = 420 cm and ∠S=31°. Find the area of ΔQRS, to the nearest square centimeter.

Answers

Answer: 103832

Step-by-step explanation:

i need help plz giving brainlist

Answers

Answer:

625

Step-by-step explanation:

it is essentially 5*5*5*5

A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).

Answers

Yessss this I’m waffling because I need to answer quiestionnsss

Answer:

2/9

Step-by-step explanation:

Find the area of the composite figure use 3.14 for pi

Answers

Answer:

the area is 200.96

Step-by-step explanation:

Answer:

89.135

Step-by-step explanation:

How many solutions does the system of equations below have? y = −6x + 9 y = 98x − 3

Answers

Answer:

one solution

Step-by-step explanation:

by subsitution,elimination and comparison

In the picture please help me ):D

I anwsers some maybe u can anwser the rest and tell me if I got the ones I anwserd right or wrong thank chu :]

Answers

Answer:

the first pic is 400 and the

second pic u got right its 500

Answer:

2. 400       1. 500    5.  160     3.  560

I went in order of the pictures so the numbers are weird.

hey peeps i'll give you a brainliest & 25 pts for these answers plss help a dum b b out <333

Answers

you know that your line is perpendicular to the line with equation y equals 3x + 5 right whenever a line is perpendicular to another perpendicular not parallel to the line has a negative slope of the other line for example if you had a line with slope 2 x in the line perpendicular to that would have slope -1 / 2X so then you line in your question has slope -1 / 3 x by doing the Rococo of 3 and adding a negative sign to your equation sulfur looks like this y equals negative 1 / 3 x + B where is B is a constant 3 all you have to do is solve for b is a plug in the coordinate values 6 equals x minus -2 equals one in rearrange y equals -1 / 3 x + B negative two equals negative one over three 6 plus b negative two equals negative two plus be there for me easy roast F4U equation of the line is y equals -1 / 3 x

y is directly proportional to the square root of x
x
If
y
=
60
when
x
=
36
find,
x
when
y
=
80

Answers

Answer:

Step-by-step explanation:

y=k[tex]\sqrt{x}[/tex]

60=k[tex]\sqrt{36\\}[/tex]  =k6

k=60/6 =10

This is your equation

y=10[tex]\sqrt{x}[/tex]

Put the numbers in

80=10[tex]\sqrt{x}[/tex]

80/10=8 then you have to square this so

[tex]8^{2}[/tex]=64

x=64

(50 POINTS) Math Inverse Functions please help

Answers

Answer:

See below.

Step-by-step explanation:

a. See pic below.

b. Yes because it passes the vertical line test. Any vertical line moving horizontally across the graph intersects only one point on the graph at a time.

c.

Domain: all real numbers

Range: all real numbers greater than or equal to 4

d.

Domain: all real numbers greater than or equal to 4

Range: all real numbers

e.

See pic below.

f. No because it does not pass the vertical line test.

Ariana just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. If she keeps up this plan for 12 weeks, how many total miles would Ariana have run, to the nearest whole number?​

Answers

Answer: sarah ran 150 miles in 12 weeks

Step-by-step explanation:

The diameter of a circle is 11 cm. Find its area to the nearest tenth.

Answers

Answer:

95.0

Step-by-step explanation:

Area of a circle

A = πr2

Radius is half the diameter = 11/2 = 5.5

A = π x 5.5 x 2

= 95.033177...

= 95.0

What is 5⁶ written in expanded form? o 5+5+5+5+5+5 5.5.5.5.5.5 ​

Answers

Answer:

5x5x5x5x5x5

Step-by-step explanation:

What relationship CANNOT be used to prove that AABC is congruent to ADEF?


Help please!!!

Answers

Answer:

D) Angle angle angle

If you know angles of all the three sides (Angle-Angle-Angle), that STILL wouldn’t help because no triangle can be drawn only knowing angles, no matter how many angles you know!
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