Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)

Answers

Answer 1

Answer: (4, 1)

Step-by-step explanation:

Let's solve this by adding the equations

2x+3y=11

+x-3y=1

3x=12

Now we can solve

[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]

Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.

[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]

The answer is (4, 1)


Related Questions

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

-6

Step-by-step explanation:

Given Question,

2x - 7

Given Value:

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

Solution,

[tex]2( \frac{1}{2} ) - 7[/tex]

[tex] = 2 \times \frac{1}{2} - 7[/tex]

= 1 - 7

= - 6 (Ans)

the answer is -6
hope that helps

Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial

Answers

Answer: C. 5x^2-2x+4
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)

4 oranges at Juicy Deals grocery store cost $6. For the price of $15 you can buy 10 oranges. True or false: The relationship
between the number of oranges and their price is proportional.

Answers

Answer:

the answer is true.

4/6

10/15

Hi! The answer is true because if you divide 6/4 you get 1.5 so 1.5 X 4 is 6 so you know that is proportional and 15/10 is 1.5 so you know that is proportional as well.

1.5 X 4 = 6
1.5 X 10 = 15

Since they both equal 1.5 after you divide them you know it’s proportional. I hope this helped, Goodluck :)

Will Mark as Brainliest if it's the Best!

Answers

OPTION B is the correct answer.

Hope it helps you...

Answer:

option B

Step-by-step explanation:

[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]

in multiplication if base are same u can add their power (exponent)

[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]

here since the denominator of the fraction in exponent are same u can add or subtract their numerator.

[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]

note: any base with the power 0 is always considered as one.

y = 4 x − 1
y = − x + 4

Answers

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

identify one solution for this graph

Answers

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior

Answers

Answer is d hope it helps

PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!

Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...

Hint: Write a formula to help you.

1st term+ common difference(desired term-1)

Answers

Answer:

the 9th term would be  -15

Step-by-step explanation:

Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754​

Answers

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T

Answers

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book​

Answers

Answer:

no

Step-by-step explanation:

First determine the discount

11.95 * 15%

11.95 *.15

1.79

Subtract the discount

11.95-1.79

10.16

You do not have enough money with a 10 dollar bill

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:  3.6

=======================================================

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(69) = x/10

10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Answers

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Brette got a new phone! The length of her old rectangular phone screen was 44 centimeters. Her new rectangular phone screen is twice as long as the old screen. How much larger is the area of the new screen than the area of the old screen?

Answers

Answer:

2 times larger

Step-by-step explanation:

Area of a rectangle = length x width

assume width = 10

older area = 44 x 10 = 440

new area

length = 44 x 2 = 88

88 x 10 = 880

change in area = 880 / 440 = 2

Solve 7x+6<3(x - 2).

Answers

Answer:

x<−3

Step-by-step explanation:

hope this works

using the image,find angle x and y​

Answers

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth

Answers

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2+105x-859 y=−2x 2 +105x−859

Answers

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

Answer:

519

Step-by-step explanation:

just took the question

I can't figure out the answer

Answers

3 should be the answer

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

I need help with it one plz

Answers

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)

Answers

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.

Answers

Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

Write the quadratic equation in standard form:
-7x+4=x^2

Answers

it would be x^2+7x-4, you just move everything to one side.

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

Classify the following triangle. Check all that apply.
A. Isosceles
. B. Equilateral
C. Scalene
E D. Acute
E. Right
E F. Obtuse

Answers

Answer:

Options A and E

Step-by-step explanation:

Isosceles triangle → Two sides and opposite angles of the equal sides will be equal

In the given triangle measure of all sides are different.

Therefore, it's not an isosceles triangle.

Equilateral triangle → All sides and opposite angles are equal.

Given triangle is not an equilateral triangle.

Scalene triangle → All sides and angles are different in measure.

It's an scalene triangle.

Since, one angle of the triangle is a right triangle, it's a right triangle.

Option A and E are the correct options.

A boat travel 45 miles in three hours at this rate how many miles with a boat travel in half an hour

Answers

About 7.5 miles if you divide 45/3 is 15 so divide 15/2 which is 7.5

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

How did Progressives address the problems caused by industrialization?

Answers

The main objectives of the Progressive movement were addressing problems caused by industrialization, urbanization, immigration, and political corruption. ... By taking down these corrupt representatives in office, a further means of direct democracy would be established.

What is the area of a rectangle with a length of x + 5
and a width of 4?

Answers

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)

Answers

Answer:

Both have 4 imaginary roots

Step-by-step explanation:

1)

(x^2 + 9)(x^2 + 6) = 0

1.

x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i

2.

x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6

It has 4 imaginary roots and no real roots

2)

(x^2 + 7)(x^2 + 5) = 0

1.

x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√7

2.

x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5

It has 4 imaginary roots and no real roots

#1

(x²+9)(x²+6)=0

First

x²=-9x=±3i

second

x²=-6x=±√6i

4complex roots

#2

(x²+7)(x²+5)=0

first

x²=-7x=±√7i

Second

x²=-5x=±√5i

4 complex roots

13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?

Answers

63 inches tall

Explanation: 60+3= 63

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

can someone help me plz

Answers

Answer:

it would probably be around 1.8 or either 1.7

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