Solve the following system of equations.

2x + y=3
x=2y-1

Make sure there are NO SPACES in your answer. Include a comma in your answer.

ANSWER: {(
)}

Answers

Answer 1

Answer:

x=1,y=1

Step-by-step explanation:

For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:

4y-2+y=3

5y-2=3

5y=5

y=1

Now we can plug in 1 for y in the second equation and get:

x=2(1)-1

x=1

This means that x=1, and y=1


Related Questions

ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives

Answers

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]

how do you solve this do i need to plpug in the formula

Answers

Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle shown.
square units
Reset
Next
Plz help

Answers

Step-by-step explanation:

the area of a triangle is baseline × height / 2.

now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?

I find the baseline is 14 units long.

the height is 7 units.

so, the area is

14×7/2 = 7×7 = 49 square units.

Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)

Answers

The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

From the graph, we have the following highlights

The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2

The above highlights mean that:

The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]

Assume a = 1.

So, we have:

[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]

Multiply

[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]

Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]

Read more about polynomial graphs at:

https://brainly.com/question/8878887

!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:

A.
travel deep underground to take soil samples in a mine.

B.
meet with large cereal companies to take test the safety of their products.

C.
collect soil and water samples in a bay.

D.
climb into an attic to inspect for termite damage.

Answers

Answer:

meet with large cereal companies to take test the safety of their products.

Step-by-step explanation:

Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.

someone pls help me!!!!

Answers

Answer:

-2

Step-by-step explanation:

The interval [-6. -4] refers to x values.

At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis

At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.

The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)

= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2

/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]

Answers

Step-by-step explanation:

[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]

[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]

[tex]2( x - 9) = 3(2x - 9) \\ [/tex]

[tex]2x - 18 = 6x - 27[/tex]

[tex]27 - 18 = 6x - 2x[/tex]

[tex]9 = 4x[/tex]

[tex]x = \frac{9}{4} \\ [/tex]

Find the range of the function F(x) = the integral from 0 to x of the square root of 4-t^2 dt

Answers

Note that √(4 - t²) is defined only as long as 4 - t² ≥ 0, or -2 ≤ t ≤ 2. Then the real integral exists only if -2 ≤ x ≤ 2. (Otherwise we deal with complex numbers.)

If x = 2, then the integral corresponds to the area of a quarter-circle with radius 2. This means that the integral has a maximum value of 1/4 • π • 2² = π.

On the opposite end, if x = -2, then the integral has the same value, but the integral from 0 to -2 is equal to the negative integral from -2 to 0. So the minimum value is -π.

For all x in between, we observe that the integrand is continuous over the rest of its domain, so F(x) is continuous.

Then the range of F(x) is the interval [-π, π].

Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.

Answers

Answer:

option A is correct

hope it helps :)

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

ASAP
answer this please


as percentages

Answers

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

what is the sqare root of 12

Answers

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

Plzzzzz helpnmeeee plzzzz

Answers

I think it would be b?

The Raitio of 20:360

Answers

Answer:

If you need it as a fraction then it is 1/18  

Step-by-step explanation:

41/30 as a mixed number

Answers

Answer:

1 11/30

Step-by-step explanation:

43 minus 30 equals 11, a prime number; can't simplify

41/30 as a mixed number is 1 11/30



you divid the 41/30 and get the mixed number

6x+a= 5(x+f) make x subject

Answers

Answer:

x = 5f - a

Step-by-step explanation:

6x + a = 5(x + f)

6x + a = 5x + 5f

x = 5f - a

Describe fully the single transformation which takes shape A to shape B

Answers

Answer:

Translation down by 1 then reflection over Y axis.

Step-by-step explanation:

It would be too much to write so here is a photo instead :D

Answers

Answer:

C) Justine left her grandmother's house and walked 3 blocks directly south. Then she walked 3 blocks directly north. At this point, how many blocks was Justine from her grandmother's house?

Explanation:

C is the only answer choice where you are starting at 0. Justine goes down 3 blocks and comes back up 3 blocks getting her back to 0.

Answer choice A goes from -10 to 10.

Answer choice B goes from -16 to 16.

Answer choice D goes from 10 to -10.

Explain how I got this wrong please

Answers

Answer:

x = 9

Step-by-step explanation:

Each angle equals 60 since it is an equilateral triangle

7x-3 = 60

add 3

7x = 63

divide by seven on both sides

x = 9

I hope this helps!!

Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months

Answers

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)

Answers

Answer:

Step-by-step explanation:

A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )

B( 4 , - 3 ) ------> B' ( 8 , - 1 )

C( 4 , 3 ) ------> C' ( 8 , 1 )

D ( - 1 , 3 ) ------> D' ( - 2 , 1 )

I need to solve for G in the following equation

Answers

So the square root of it is
2G-N=T
+N +N
2G=T+N
-divide both sides by 2
G=T+N /2

PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS

Answers

Answer:

I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.

3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist

Answers

Answer:

  c = -0.7

Step-by-step explanation:

It looks like you have the proportion ...

  [tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]

Answer:

c = -0.7

Step-by-step explanation:

[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]

[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]

[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]

[tex]\rm⇢ \: \: 8c = - 5.6[/tex]

[tex]\rm⇢ \: \: c = - 0.7[/tex]

Give me answer plz !!!

Answers

Answer:

c.-2.5 ,because[2.5]=2.5

Step-by-step explanation:

I hop this is fine

Answer:

B part

Step-by-step explanation:

2.5 because |2.5| = 2.5 and it's never negative.

Hope it helps :)

Help, this question is confusing me

Answers

Answer: They are all equations except c, which is a formula.

Step-by-step explanation:

How would you graph the solution set of x - 2 > 5?

Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.

Answers

open circle on 7 shaded to the right

60 Point Question Answer ASAP! Brainliest to best/first answer

Answers

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000

Answers

Answer:

C

HOPE IT HELPS YOU BRAINLIEST

The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection

Answers

Answer:

15

Step-by-step explanation:

Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.

HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)

Answers

196.88

Hope this helps!
Brainliest is much appreciated!
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