3x3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer 1

Answer:

Step-by-step explanation:

We know that the system of equations

a

1

x+b

1

y=c

1

a

2

x+b

2

y=c

2

has infinitely many solutions, if

a

2

a

1

=

b

2

b

1

=

c

2

c

1

Here, a

1

=2,b

1

=3,c

1

=4,a

2

=k+2,b

2

=6,c

2

=3k+2.

Therefore, the given system of equations will have infinitely many solutions, if

k+2

2

=

6

3

=

3k+2

4

k+2

2

=

6

3

 and  

6

3

=

3k+2

4

k+2

2

=

2

1

 and  

2

1

=

3k+2

4

⇒k+2=4 and 3k+2=8

⇒k=2 and k=2

⇒k=2

Hence, the given system of equations will have infinitely many solutions, if k=2.


Related Questions

english 2 hhhhhhhheeeelllpppp

Answers

The correct answer is C.

Hope this helps !! :)

can someone help me please

Answers

Answer:

53 degrees

Step-by-step explanation:

m<J = m<Q

Both triangles are congruent to each other by the given information. Since both triangles are congruent, their corresponding parts must also be congruent. Therefore, the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) Postulate can be applied. As a result, all corresponding side lengths and angle measures are congruent in both triangles. That means that m
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The correct equation that goes through the point (3, 4) and is parallel to the line y=2x+1

Answers

Answer: y = 2x -2

Step-by-step explanation: parallel is same slope diff y intercept

y = 2x

4 = 2(3) + x

4 = 6 + x

x = -2

Can you help me solve pleas

Answers


Krazy module- qwe msnsms

Eliot went to the store and bought 4 1/2 pounds of chicken for $12.00. What was the cost per pound of chicken? round you answer to the nearest cent is necessary.

I will give you brainly

Answers

Answer:

$2.67

Step-by-step explanation:

$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound

Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.

HELLLP IM GIVING BRAINLYEST TO THE RIGHT ANSWER

Answers

Answer:

Well, what's the question?

Multiply. 3 1/3 1 3/4 Express your answer in simplest form. 5 5/12 5 5/6 6 5/6 6 5/12

Answers

Answer:

[tex]5\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{3}*1\frac{3}{4}[/tex]

[tex]\frac{10}{3} *\frac{7}{4} \\[/tex]

[tex]\frac{10*7}{3*4}[/tex]

[tex]\frac{70}{12}[/tex]

First you can divide both sides by 2

[tex]\frac{70}{12}=\frac{35}{6}[/tex]

Now make it as a mix number

[tex]\frac{35}{6} =5\frac{5}{6}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

WILL MARK BRAINLIEST!
Identify if the polynomial is a monomial, binomial, trinomial or multinomial.

Answers

Answer:

multinomial

Step-by-step explanation:

polynomial are equal to multinomial

Simplify
10-2
103
-100,000
*
1
10
1
10
100,000
RETRY

Answers

Answer:

100,000

Step-by-step explanation:

[tex] (\dfrac{10^{-2}}{10^3})^{-1} = [/tex]

When you divide powers with the same base, subtract the exponents.

[tex] = (10^{-2 - 3})^{-1} [/tex]

[tex] = (10^{-5})^{-1} [/tex]

To raise a power to a power, multiply the exponents.

[tex] = 10^{-5 \times (-1)} [/tex]

[tex] = 10^5 [/tex]

[tex] = 100,000 [/tex]

solve an equation to find the value of x

Answers

Answer:

(7+x)°=180-130

x=50-7

x=43

what is b divided by b% of b? PLS HELP

Answers

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

Answer:

b²/0.0b

Step-by-step explanation:

You're asking what is

[tex] \frac{b}{b\%} \times b[/tex]

Know that b% translates to b/100=0.0b

b×b=b²

Therefore it becomes

[tex] \frac{ {b}^{2} }{0.0b} [/tex]

x-2y=-8 slope intercept form
need it asap plz

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

The values for three different sets of data are shown below.

Data
Data Set
Values
1
52, 55, 59, 53, 50
2
40, 49, 43, 42, 90, 38
3
24, 30, 26, 31, 40, 26

Without calculating any statistics, Jadyn knows that data set 1 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 2 and 3 have an even number of values.
Set 1 has the least number of values.
Sets 2 and 3 contain outliers.
Set 1 contains an outlier.

Answers

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

It is c

Step-by-step explanation:

Choose the grid reference number for the mine shown.
A. 631226
B. 126362

Answers

Answer:

631226

Step-by-step explanation:

The grid reference number for the mine shown is (63.35, 12.7).

What is coordinate plane?

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given grid,

The reference point is (63.35, 12.7)

Therefore, the grid reference number for the mine shown is (63.35, 12.7).

Learn more about the coordinate plane here:

https://brainly.com/question/24134413.

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The Wilsons have triplets and another child who is ten years old. The sum of the ages of their children is 37. How old are the triplets

Answers

Hope this helps have a nice day!!!!

9 years old because u do 37-10= 27 and 27/3= 9

The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200

Answers

Solving the quadratic function, it is found that the range is of:

between 200 and 250; inclusive

The profit for x tours is modeled by the following equation:

[tex]p(x) = -2x^2 + 900x - 40000[/tex]

It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:

[tex]60000 = -2x^2 + 900x - 40000[/tex]

[tex]2x^2 - 900x + 10000 = 0[/tex]

Simplifying by 2:

[tex]x^2 - 450x + 50000 = 0[/tex]

Which has [tex]a = 1, b = -450, c = 50000[/tex]

Then:

[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]

[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]

[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]  

At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:

between 200 and 250; inclusive

A similar problem is given at https://brainly.com/question/25181401

which ratios are equivalent to 7: 15.

Answers

There are multiple… like 14:30 and another would be 35:75

Just multiply each side by the same amount like with 14:30 I multiples 7 by 2 so I multiples 15 by 2 also and for 35:75 I multiplied 7 by 5 and 15 by 5 if that helped at all :)

A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?

First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.

one game costs $________

3 games would make them $_______

Answers

Answer:

20.41

Step-by-step explanation:

I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23

a. 2300ml=_____l b. 9400ml=_____l c. 9l=________ml d. .7l=_______ml e. 9.7l=_____ml
f. 670ml=_______l g.217ml=_______l h. 1200ml=______l

Answers

A) 2.3l
B) 9.4l
C) 9000ml
D) 700ml
E)9700ml
F).67l
G) .217l
H) 1.2l

Answer:

a) 2300 ml = 2.3 l

b) 9400 ml = 9.4 l

c) 9 l = 9000 ml

d) 7 l = 7000 ml

e) 9.7 l = 9700 ml

f) 670 ml = 0.67 l

g) 217 ml = 0.217 l

h) 1200 ml = 1.2 l

Step-by-step explanation:

For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.

Help ASAP!!! ILL GOVE BRAINLIEST IF YOU GET IT RIGHT!

Answers

Step-by-step explanation:

I am not sure but i think it is D or E (last 2 choices)

Sorry if wrong

Easy math problem.....

Answers

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

Kind requests:

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Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

-------------

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

The denominator of a fraction is 4 more than its numerator. If the fraction equals 1/3, what is the fraction?

Answers

Answer:

Hello,

Here is your answer:

2/6

what is dividing fractions

Answers

Answer:

The simplest way I can describe dividing fractions is like multiplying fractions but upside down.

Example:

1/2 ÷ 1/3

To do this, the easiest way is to "flip" the second fraction.

It then becomes:

1/2 × 3/1

Then you just multiply across and you get a product of 3/2 or 1 1/2

A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, they sold 78 drinks for a total of $252.



How many cappuccinos were sold?

Answers

Answer: 60 cappuccinos were sold.

Explanation:
x = number of lattes sold
y = number of cappuccinos sold

Two equations can be set up:
x + y = 78
4x + 3y = 252

The first equation can be rearranged and substituted into the other equation to find the value of a variable.

y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18

To find y, the value of x can be substituted into either equation.

x + y = 78
18 + y = 78
y = 60

To check answers, substitute both values into the original equations and make sure they work.

x + y = 78
18 + 60 = 78
78 = 78

4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252

Number of sold cappuccinos will be 60.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A coffee shop sells lattes for $4 and cappuccinos for $3.

Last Friday, they sold 78 drinks for a total of $252.

Now,

Let number of lattes = x

Number of cappuccinos = y

Since, Last Friday, they sold 78 drinks.

So, we can formulate;

x + y = 78   ... (i)

And, Last Friday, they sold 78 drinks for a total of $252.

So, we can formulate;

4x + 3y = 252 ... (ii)

Solve equation (i) and (ii) we get;

x + y = 78

4x + 3y = 252

Multiply by 4 in equation (i) and subtract from (ii) we get;

4x + 3y - 4x - 4y = 252 - 312

- y = - 60

y = 60

And, x + y = 78

x + 60 = 78

x = 18

Thus, Number of sold cappuccinos will be 60.

Learn more about the linear expression visit:

https://brainly.com/question/28718030

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Which algebraic expression represents
the phrase "half the value of x" ?


Answers

Answer:

½x - 40​

Step-by-step explanation:

A secretary can type 960 words in 6minutes how many words can she type in 1 hour​

Answers

Answer:

9600 words in an hour.

Step-by-step explanation:

There are sixty minutes in an hour.

60/6=10

multiply 960 by 10

960*10=9600

The secretary can type 9600 words in 1 hour.

The answer is : 9600 words
960 * 6 = 160
160 x 60 = 9600

I NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

length of missing side = sqrt(5^2 + 12^2) = sqrt(169) = 13

distance = sqrt(50^2 +25^2) =sqrt(3125)= 55.90metres

f(x)=x3+8x2+5x−50 factored

Answers

Answer:

[tex](x+5)^{2} (x-2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^3} +8x^{2} +5x-50[/tex] using polynomial division.

[tex](x^{2} +10x+25)(x-2)[/tex]

2) Rewrite [tex]x^{2} +10x+25[/tex] in the form [tex]a^{2} +2ab+b^{2}[/tex], where a = x and b = 5.

[tex](x^{2} +2(x)(5)+5^{2} )(x-2)[/tex]

3) Use Square of Sum: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex].

[tex](x+5)^{2} (x-2)[/tex]

Are the shapes simliar?





a
No
b
Yes
c
There is no way to determine this.

Answers

Answer:

yes

Step-by-step explanation:

could I get brainliest please

Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?

Answers

Answer:

264

Step-by-step explanation:

to find one hour

110÷5=22 per hour

12×22=264

Answer: Lamar would make $264 in 12 hours of work.

First we would try to find how much he would make in an hour, so technically the unit rate.

TO find the unit rate we have to do 110/5 which is equal to $22

Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO,  12 times 22 is 264.

Step-by-step explanation:

I hope this helps, if you are having a tough time with math you can use:

khan academy

math nation

and many more free sites!

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