Solve the following system of equations:
-2x + y = 1
-4x + y = -1

A: (3, 1)
B: (-1, 3)
C: (-1, -3)
D: (1, 3)

Answers

Answer 1

Answer:

x=1,y=3

correct answer is (1,3)

Step-by-step explanation:

We can quickly eliminate y by subtracting one equation from the other

(-2x+y=1)-(-4x+y=-1)

2x=2

x=1

plug x=1 into equation 1

-2(1)+y=1

y=1+2=3


Related Questions

Help... it’s multiple choice math

Answers

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.

1) a) Factorize: G(x) = (x+5)2 – 3x(x+5).
b) Solve G(x) = 0.
2) In the adjacent figure ABCD is a square:
a) Express the area of the square and the area
of triangle AEB in terms of x.
b) Calculate x so that the area of the square is equal
to 6 times the area of triangle AEB.​

Answers

Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

= (x + 5)(5 - 2x)

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.

Answers

2:9 and 6:27 :////////

Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are currently 380 glasses. If each set on sale contains 15 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses Morgan could buy for the restaurant to have enough glasses.

Answers

Answer:

43 Sets for 650

Step-by-step explanation:

Just do division.

Hope this helps :-)

Answer:

ok

Step-by-step explanation:

12

2

2

2

2

2

3

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4

Answers

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ( subtract 2 from both sides )

x = - 2

Art mows 1 8 acre in 1 4 hour. How many acres does Art mow per hour?

Answers

Answer:He mows half an acre in one hour

Step-by-step explanation:

The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.

Answers

Answer:

i will solve it below

Step-by-step explanation:

12.00 + 1.25

13.00

60.00 - 13.00 = 47.00

your welcome

Answer:

$12p plus $1.25s≤60

Step-by-step explanation:

Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60

Find the solution set of the inequality 4x -1 < 11.4x−1<11

Answers

Answer:

x<3

Step-by-step explanation:

4x -1 < 11

Add 1 to each side

4x -1+1 < 11+1

4x<12

Divide each side by 4

4x/4 <12/4

x<3

Which interval on the graph could be described as linear constant?

A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.

A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????

Answers

Approximate solutions are the estimate values of an equation

The approximate solution of the equation is x = 0.45

How to determine the approximate solution

The equation is given as:

[tex]x^3 + 2x- 1= 0[/tex]

The iteration is given as:

[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]

To start with, we have:

[tex]x_1 = 1[/tex]

So, we have:

[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]

The next iteration is:

[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]

The next iteration is:

[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]

The next iteration is:

[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]

The next iteration is:

[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]

Notice that:

x5 and x6 have the same value to 2 decimal places.

i.e. [tex]x_5 \approx x_6 = 0.45[/tex]

Hence, the approximate solution of the equation is x = 0.45

Read more about approximate solutions at:

https://brainly.com/question/10171109

There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?

Answers

Answer:

38 candies.

Step-by-step explanation:

Given the following data;

Total number of candy = 874

Total number of children = 23

Since we know that they are all sharing it equally, each child would get;

Each child = 874/23

Each child = 38 candies.

On average, Carmen can drive 28 miles on every gallon of gasoline. If she fils up her tank for $225 per gallon, how much
will it cost her to drive 336 mies?

Answers

It will cost $2700 dollars to drive 336 miles. Hope this helps

0.75x - y = - 2.1
0.6y 2.4x +9

Answers

Answer:

4x-3

Step-by-step explanation:

Yea

The sum of x and 6.5 is 11.9. Find
he value of x.

Answers

Answer:

5.4

Step-by-step explanation:

Sum = 11.9

One decimal = 6/5

x = 11.9 - 6.5

  = 5.4

Therefore x is 5.4 :)

Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9

Answers

Answer:

3) 9x² - 5x - 9

Step-by-step explanation:

Combine like terms

5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x²  - 9x + 4x    + 3 - 12

                                           = 9x² - 5x - 9

The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur

Answers

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?

Answers

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1  = 4.164 cm

pls help work is due tonight i will give brainliest

Answers

Answer

the first one is the answer and none of the above

Step-by-step explanation:

Corrado has 27 books in his room that he has already read. He wants to give them away to his 3 younger siblings. How many books will each of Corrado's siblings receive? If b represents the number of books each sibling receives, which equation could be used to solve the problem?

Answers

Answer:

9 books each

Step-by-step explanation:

27/3=9....

What is the total cost of a $95.00 item with a sales tax of 6%?

Answers

Answer:

$100.7

Step-by-step explanation:

Total cost

= cost of item + amount of sales tax

= 95 + 6% of 95

= 95 + 0.06*95

= 95 + 5.7

= $100.7

Answer:

Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.

1.06 × $95.00 = $100.70

The object will cost $100.70.

Step-by-step explanation:

Credits to : Padoru

Check : https://brainly.com/question/14308615 to see their response

Question 3 please help?!!!!

Answers

Answer:

First choice, 21/50

Step-by-step explanation:

16 + 9 + 22 + 26 + 15 + 12 = 100

Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100

42/100, simplify it with 2, 21/50

Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34

Answers

Answer:

The answer is 34

Step-by-step explanation:

The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.

Therefore, 17 * 2 = 34

Answer:

34

Step-by-step explanation:

hope this helps

The total cost to buy pizzas for Ms. Smith's holiday party can be found using the function C) = 10 +3.50, where x is the number of pizzas bought. If she wants to order at least 5 pizzas but not more than 9 pizzas for her class What is the range of the function for the above situation?​

Answers

Answer:

1234

Step-by-step explanation:

A country road has a section of road with grade of 9%. A car climbs up the slope road 18 feet above the flat road . What horizontal distance does the car travel?

Answers

Answer:

36

Step-by-step explanation:

what 157423 x 104969

Answers

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator




Diagram 7 shows a regular hexagon UVWXYZ.


Diagram 7

Find the value of r.
.
A30°
B40°
С45°
D60°​

Answers

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?

Answers

i agree it should be 50%

Step-by-step explanation:

half of 40 is 20

PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?

Answers

Answer:

d = 29/4 miles

That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles

Step-by-step explanation:

Answer:

7 1/4

Step-by-step explanation:

4 5/6 miles / 2/3 hour =

= 29/6 * 3/2 miles/hour

= (29 * 3)/(6 * 2) miles/hour

= 29/(2 * 2) miles/hour

= 29/4 mph = 7 1/4 mph

help---------------​

Answers

Answer:

C. (f - g)(x) = 3ˣ - 2x + 14

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Function NotationCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3ˣ + 10

g(x) = 2x - 4

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                    (f - g)(x) = 3ˣ + 10 - (2x - 4)Distribute -1:                 (f - g)(x) = 3ˣ + 10 - 2x + 4Combine like terms:    (f - g)(x) = 3ˣ - 2x + 14

How many terms are in this expression?
9+ 8d+b

Answers

3

terms are separated by operations
Other Questions
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