Where do 2x - y = 4 and 4x + y = 9 intersect?

Answers

Answer 1

Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]

Step-by-step explanation:

We can solve this system of equations through elimination

Add (4x+y=9) with (2x-y=4)

[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]

Now that y is canceled out we can solve for x

[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]

Now sub back x into one of the original equations to find the value of y

[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]


Related Questions

The area of a rectangle is 27x2+27x-30 square feet. The length of the rectangle is 9x– 6 feet. What is the width of the rectangle?

Answers

Divide the polynomials to get the 3x + 5

Product of 630 and 7.2X 10 to the 4th power

Answers

Put it into your calculator

Product means multiply [tex]\times[/tex]

4th power means [tex]10^4[/tex]

[tex]630\ \times\ 7.2\times10^4 = 45360000 = 4.536\times10^7[/tex]

{( - 1, 2), (0, 3), (1, 4)}
Which algebraic equation gives the correct rule for the table?

Answers

Answer:

The rule for the input-output table below is: add 1.5 to each input number to find its corresponding output number. Use this rule to find the corresponding output numbers. To find each output number, add 1.5 to each input number. Then, write that output number in the table.

sorry for not putting the picture

Answers

Answer:

Answer bellow

Step-by-step explanation:

9cm⋅12cm=108cm²

17cm=108cm²

7cm=108cm²

9cm=108cm²

3cm=108cm²

Answer:

407

Step-by-step explanation:

9 x 17 = 153

9 x 16 = 135

(15 x 14) x 1/2 = 105

add em up...

153 + 135 + 105 = 407

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Help help help help math
Math

Answers

Answer:

Hope the picture will help you. And Please Mark me brilliant!!!

Full question and options​

Answers

Answer:

D

Step-by-step explanation:

A triangle is always determined by the names of its angles. If, for any reason, you wanted to label it by its side names(which I don't even think you can do but assuming you wanted to), you dont even have the names for all three sides here. So, it can only be d. A, X, and T are the three angle names for this triangle, so this is triangle ATX or AXT.

Answer:

ATX (option d)

Step-by-step explanation:

Sides of any polygon are called as vertices.

Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.

Triangles can also be classified by their angles. In an acute triangle all three angles are acute.

CAN SOMEBODY HELP ME
NO LINKS

Answers

Domain of this function is R or (-∞,∞)

Cuz this function of definable in each and every real number

It takes 4 people 6 days to build a wall. How long would it take 6 people to build the same wall?

Answers

Answer:

1 day

Step-by-step explanation:

4=6

2=3

2*3=6

so 3/3=1

It would take 6 people to build the wall 1 day

It takes 4 days to build the same wall with 6 people based on the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

It takes 4 people 6 days to build a wall.

The number of people days taken = 4 x 6 = 24 people takes

This means if one person wants to build them it takes 24 days.

For 6 people the time taken will be 24/6 = 4 days.

Hence "It takes 4 days to build the same wall with 6 people based on the given ratio".

For more information about ratios and proportions,

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Adam says 0.25 is smaller then 2
_
5
Explain why he is correct

Answers

Step-by-step explanation:

0.25 = 1/4 is not reach to 1

2 is an integral number.

So, 0.25 is smaller than 2

Answer:

2/5 is equal to 0.40, which is higher than 0.25

Step-by-step explanation:

2 ÷ 5= 0.4 which is the same as 0.40

The mean for the data in the dot plot is 5. What is the absolute deviation for the data point at 7?

Answers

Answer:

The answer is 2. Hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

which expression is equivalent to (x^9yz^4)^5

Answers

Applying the rule of exponent, the equivalent expression is: [tex]x^{45}y^{5}z^{20}[/tex]

What is the Rule of Exponents?

One of the rules of exponents is given as, [tex](xy)^m=(x^m)(y^m)[/tex].

Therefore, given:

(x9yz4)5

To find the equivalent expression, apply the rule of exponents as shown below:

[tex](x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})[/tex]

[tex](x^9yz^4)^5=x^{45}y^5z^{20}[/tex]

Therefore, applying the rule of exponent, the equivalent expression is:

[tex]x^{45}y^{5}z^{20}[/tex]

Learn more about the rule of exponents on:

https://brainly.com/question/847241

survey showed that the probablity that an e
claimed that he could help place any employee in
id in a job that Is sultable for the employee Is 0.65. A psychometric test consultant
company decides to take this test. The test has an a
based on the result of a psychometric test. An employee working in a particular
rate of 70%. This data is represented in the tree diagram.
fest predicts that
the employee is in
probability that
the employee
is in the
test precicts t
wrong job
the employee is in
the wrong job
Select the correct answer.
Which of these probability values fit the tree diagram?
RA) = 0.35, P(6) = 0.65, RQ) = 0.70, P(O) = 0.30, P(E) = 0.30, P(A) = 0.70
O B. PA) = 0.35, P(6) = 0.65, A(Q) = 0.70, R,D) = 0.30, A8) = 0.70, RA = 0.30
O c.
14) = 0.35, P(6) = 0.65, PQ) = 0.30, P(O) = 0.70, RJ8) = 0.70, AA = 0.30
= 0.30, PA = 0.70

Answers

Answer:

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is 

Mr Wong spent $3750 on general expenses last month 20% of his general expenses
was electrioty charges. How much money did he pay for electricity charges laat
month?

Answers

Answer:

$750

Step-by-step explanation:

20% can also be written as 1/5 in fraction form (20/100)

3750 x 1/5 = 750

NOPQ is a rhombus. Given ON=110 and OQ=176. find each measure

Answers

Answer:

I cannot see the attachment

Step-by-step explanation:

The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.

Answers

Answer:

0.75

Step-by-step explanation:

The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.

So, 0.75 * 8 = 6

The other number is 0.75

Will give points please help

Answers

Answer:

Part A

Step-by-step explanation:

Did test for flvs, brainliest please ;)

Find the surface area of the prism.

Answers

[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]

[tex]s \: a \: = 24 + 30[/tex]

[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]

is (x-4) a factor of f(x)=x^3-2x^2+5x+1 explain your reasoning

Answers

Answer:

No.

Step-by-step explanation:

It's simpler than you might expect.

If [tex](x - 4)[/tex]  is a factor, then it means that it the function [tex]f(x) = x^3 - 2x^2 + 5x + 1[/tex] can have [tex](x - 4)[/tex] factorised out.

This means that we can say [tex](x - 4) = 0[/tex]

Therefore [tex]x = 4[/tex]

If we put [tex]x = 4[/tex] into the equation:

[tex]f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53[/tex]

We didn't get 0, therefore it isn't a factor!

How do I get this problem started

Answers

So first in a separate sheet of paper you have to look for how many members of fam and friends does Kimberly have. Then write down the amount of money she has in total.
Then subtract 120-36 cause she buys the book.
Which equals. 84
Then you have to subtract 84 from what I said at the beginning

What is the answer?

2/5 + 3/4​

Answers

2/5+3/4

Take LCM

5×4=20

Now

2/5+3/48+15/2023/20

Answer:

23/20

Step-by-step explanation:

2/5 + 3/4

LCM = 5 * 4 = 20

=》2/5 * 4/4 = 8/20

=》3/4 * 5/5 = 15/20

So,

2/5 + 3/4

= 8/20 + 15/20

= 23/20

_________

Hope it helps ⚜

Write the following expression in terms of logs of x,y and z
Show steps

Answers

We can write the log expression in terms of the log of x, y, and z as expression 1/2(logx+2logy-8logz).

What is a logarithm?

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\\\log_ac = b[/tex]

We have an expression in logarithm:

[tex]=\rm log\sqrt{\frac{xy^2}{Z^8} }\\\\=log(\frac{xy^2}{Z^8})^{\frac{1}{2} }\\\\=\frac{1}{2}log(\frac{xy^2}{Z^8})[/tex]                         [tex](\rm loga^b = (b)log(a))[/tex]

[tex]\rm\frac{1}{2} (log(xy^2)-logz^8)[/tex]              [tex](\rm log(\frac{a}{b} )= loga - logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+log(y^2)-logz^8)[/tex]   [tex](\rm logab = loga+logb)[/tex]

[tex]\rm\frac{1}{2} (log(x)+2log(y)-8logz)[/tex]

Thus, we can write the log expression in terms of the log of x, y, and z as 1/2(logx+2logy-8logz).

Learn more about the Logarithm here:

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Rob and Mike are selling cookie dough
for a school fundraiser. Customers can
buy packages of white chocolate chip
cookie dough and packages of oatmeal
cookie dough. Rob sold 12 packages of
white chocolate chip cookie dough and
6 packages of oatmeal cookie dough for
a total of $192. Mike sold 6 packages of
white chocolate chip cookie dough and
12 packages of oatmeal cookie dough
for a total $222. What is the cost of one
package of white chocolate chip cookie
dough and one package of oatmeal
cookie dough?

Answers

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192   (1)

Also:

6x + 12y = 222    (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

Find out more on equation at: https://brainly.com/question/2972832

What is the volume of this container?

Answers

Answer:

6000 cm^3

Step-by-step explanation:

2(10 * 20 * 15) = 6000

Find the surface area of the cone in terms of π.

Answers

Answer:

161 × pi cm²

Step-by-step explanation:

we just had the question about the lateral surface area (which is the area of the "mantle" of the cone from the round bottom to the pointy top).

the whole surface area of a cone is then simply the lateral surface area plus the ground area, which is a circle.

so, we have

A = pi×r×sh + pi×r²

r = radius (remember, this is half of the diameter)

sh = slant height (the length of the "mantle" straight up from the ground to the top)

so, the surface area of our cone here is

A = pi×(14/2)×16 + pi×(14/2)² = pi×7×16 + pi×7² =

= 112×pi + 49×pi = 161 × pi cm²

What is the answer for -10+3--4+5?

Answers

the answer would be 2!

Dawn can paint of a wall in 1 hour. How
many walls can she paint in 2 hours?

Answers

Dawn can paint 2 walls in two hours according to ur question

PLEASE BE QUICK
Which point represents the fraction 3/6

A B C D

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Out of 6 spaces on number line, C is the 3rd one

10 brainlies!!!!! help with this question

Answers

Answer:

ok

Step-by-step explanation:

Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.


Based on the results above, predict the number of times a 3 would be rolled it Stacy performs the experiment a total of 480 times

A. 63


B. 102


C. 87


D 141

Answers

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

is answer letter D.141

During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms

Answers

Answer:

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

Step-by-step explanation:

12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.

[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]

I hope this helps! Have a lovely day!! :)

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