6x + 3y = 9
2x + 3y = 1
Solve the system of equations.
A)
x = 2, y = -1
B)
x = -1, y = 2
C)
x=1/2,y=3
D)
x=3,y=-1/2

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given the 2 equations

6x + 3y = 9 → (1)

2x + 3y = 1 → (2)

Subtracting the 2 equations term by term eliminates the y- term

Subtract (2) from (1) term by term, that is

(6x - 2x) + (3y - 3y) = 9 - 1

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

The solution is x = 2, y = - 1 → A


Related Questions

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval

Answers

Answer:

Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.

They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"

To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.

Hope this Helps, good luck on our assignment!

Answer:

Hey! I think this video will help you!

Step-by-step explanation:

It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o

What is the area of this triangle?

Answers

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

   = 1/2 4*4

   = 8

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answers

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

What is the inverse of the function f(x) = 4x - 12

Answers

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Y=x+12/4.
There you go bud

Find the distance between k and l

Answers

shift 5 to the right
You have to shift 5 to the right

Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Simplify.
Rewrite the expression in the form y^n

Y^9•y^2

Answers

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Simply such an app I can put in app and I wanna is the best way app is to buy the best of it i will you have a good man is the day I can put i it in the same world I can put it

In the number
23.45, the digit
2 is in the Select...
place.

Answers

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Number 2 is in the tens place.

Help. I’m thinking this is either b,c,d not sure which one though

Answers

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

A triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)

Answers

Answer:

C

Step-by-step explanation:

(x, y) → (x – 8, y + 4)

A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]  according to the translation rule.

What is translation rule ?

According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)

by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].

How to use translation rule to find the answer?

Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4

Putting in the values given in the question to the translation rule we get

[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]

[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]

Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.

Learn more about translation rule here:

brainly.com/question/1678275

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I need help cause I don’t understand the concept

Answers

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

Please help marking brainliest QUICK

Answers

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

please help
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units.

Answers

Answer:

122

Step-by-step explanation:

Let x ft. be the distance from neighbour's fence to the house.

Please see attached picture for full solution.

Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)

on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line

Answers

Answer:

the intercept is 3/4

Step-by-step explanation:

it's the number in front of the x lol

Please answer fast, dhehdhhd

Answers

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

the answer is 142 because 180 degrees is a straight line so you would do 180-38=142

Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!

Answers

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6

Answers

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b


P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY

Answers

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10

Answers

Answer:

B

Step-by-step explanation:

[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]

Therefore, the correct answer is 7. Hope this helps!

Answer:

7

Step-by-step explanation: When multiplying  a number where both has exponent you add the exponent.  a^5 * a^2 is the same thing as a^5+2 which is a^7.

The sum of 2 times a number and 7 is equal to 6

Answers

Answer:

2x+7 = 6

x = -1/2

Step-by-step explanation:

Answer:

2x+7=6

Step-by-step explanation:

aaaaaaaaassssssssssssssppppppppppaaaaaaaaaapppppppaaaaa

Answers

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

type 2 ways they are the same.

Answers

Answer:

if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry

Step-by-step explanation:

I will give the brainliest answer

Answers

Answer:

96 cm²

Step-by-step explanation:

area of single square:16cm²

no. of square in cube:16*6: 96cm²

Answer:

[tex]96 \: \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

6

{a}^{2}

\\

=

6

·

{4}^{2}

\\

=

96 \: \: {units}^{2}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?

Answers

Answer: I think it’s 20,390

Step-by-step explanation:

Answer: 11,272

Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.

Please help ASAP Very easy !!!!

Answers

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self

Answers

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

PLEASE HELP!! 25 POINTS

Answers

Answer:

1. f(x) and g(x)

2. g(x)

3. All

4. F(x) and H(x)

Step-by-step explanation:

graph them

Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102

Answers

Answer:

its b i checked it

Step-by-step explanation:

The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know the square root of a number indicated the number has been raised by half.

Given, An expression [tex]\sqrt{10}[/tex].

So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].

learn more about radical expressions here :

https://brainly.com/question/1369233

#SPJ5

does anyone understand and can help me asap?

Answers

Answer:

see below

Step-by-step explanation:

Circumference of circle = 2πr =dπ

Area of circle =πr²

1) Circle1 d =4 in, r =2 in

Circumference of circle1 =4π in

Area of circle1 = 2²π =4π in²

2) Circle2: d =3 in, r =1.5 in

Circumference of circle2 =3π in

Area of circle2 = 1.5²π =2.25π in²

3)  Circle3:  r =1 in, d =2 in

Circumference of circle3 =2π in

Area of circle3 = 1²π =π in²

4) Circle4:  r =2 1/2 in = 2.5 in, d =5 in

Circumference of circle4 =5π in

Area of circle4 = 2.5²π = 6.25π in²

5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²

6) 1/2  of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²

7) 1/4  of the Area of circle3 = (1/4)π in²

8) 1/3  of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²

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