How many solutions does the system have?
6x - y= -1
6x + y = -1
Choose 1 answer
A. Exactly one solution
B. No solutions
C. Infinitely many solutions

Answers

Answer 1

Answer:

A) exactly one solution-(-1/6,0)

Step-by-step explanation:

6x-y=-1

6x+y=-1

First, use elimination and cancel out the y-values:

you would get: 12x=-2

Divide both sides by 12: (12x/12)=(-2/12)--x=-1/6

x=-1/6

Now, subtitute the x-value into tje first equation to find the y-value:

6(-1/6)-y=-1

-1-y=-1

-1+1-y=-1+1

-y=0

-y/-1=0/-1

y=0

y=0


Related Questions

(I have more questions, but I'm sorry for so much of these bc I'm very busy so if u want the rest of the questions Let me know!

Answers

Answer:

7.. option a is right

............................ .. sorry mate I also so busy so that. I can't all ur questions

A rectangle has the following vertices. Find the area of the rectangle. (-8, – 6), (4,2), (4, -6), (-8, 2) (1 point)
O 48 square units
0 144 square units
0 38 square units
O 96 square units​

Answers

Answer:

D. 96

Step-by-step explanation:

Can someone pls help

Answers

Answer:

It looks like the number line is going by 2's. So I would say the answer is 20.

Hope this helps!

Answer: 20

Step-by-step explanation:

Assuming for every line you go up you increase the by 2.

So if you have 8 you skip a line and you end up at 12 the next line the line in between those 2 numbers should be 10. Leaving you with a sequence of numbers and if you keep going along 12, 14, 16, 18, you arrive at 20.

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster?

Answers

Answer:

22.25 inches

Step-by-step explanation:

Since in the question it is mentioned that the mitch wants to buy a poster and wants to put on a wall that is between his door of the bathroom and the closet door

Also the space between these two doors is 22.25 inches

So based on the above information, the width of the poster should be equivalent to the given space i.e. 22.25 inches and the same is to be considered

Answer:

Mitch wants to buy a poster to put on the wall between his bathroom door and closet door. There is exactly 22.25 inches of space between the doors. What could be the width of the poster? (The poster needs to fit on the wall, so it needs to be smaller or equal to the width between the doors

Step-by-step explanation:

which polynomials are in standard form

Answers

Answer:

B) -2t^2+3t+5

and

C) 4t-7

Write the converse of the conditional statement: If 2x+4=8, then x=2

Answers

Answer:

x = 2 so 8 = 4+x2

Step-by-step explanation:

Answer:

4+4=8

Step-by-step explanation:

YAwhats wrong

Evaluate the following,giving your answers in their lowest terms:
a) 1/8_1/8
b) 2/3_1/6
c) 3/18_1/3
d) 3/1/8_1/1/4
e) 1/1/8_4/1/4
f)(9/10_9/100)_1/100

Answers

Answer:

the isn't enough information to answer

3 + 3w < -9




.........

Answers

Answer:

w < - 4

Step-by-step explanation:

Given

3 + 3w < - 9 ( subtract 3 from both sides )

3w < - 12 ( divide both sides by 3 )

w < - 4

why are greek letters used in math and their origin and reasons

Answers

Answer:

Because European mathematics is very heavily rooted in the mathematics of ancient Greece, and due to the need for many symbols to represent constants, variables, functions and other mathematical objects, mathematicians frequently use letters from the Greek alphabet in their work.

A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is 1 over 7 , and the probability of randomly pulling out a strawberry candy is 2 over 7 , what is the probability of randomly pulling out a pineapple candy?

Answers

I think it’s 3 over 7 I am rlly not sure if that’s right I just based it off the pattern
Because 7 is the “denominator” that means there are 7 total candies in the bowl.

So if you already know that you have a 1 in 7 chance of pulling a orange, and a 2 in 7 chance of pulling a strawberry, then the other 4 candies in the bowl will be pineapple.

Therefore the probability of pulling out a pineapple candy would be 4 out of 7.

Where would you place root 8 on the Venn diagram? A) integers B) natural numbers C) rational numbers D) irrational numbers

Answers

Answer:

Option (D)

Step-by-step explanation:

All rational and irrational numbers are real numbers.

{-2, -1, -1.8, 0, 1, 2.......}

Numbers written in the form of [tex]\frac{p}{q}[/tex] are rational numbers. They are the part of irrational numbers.

{-2.5, -2, -1, 0, 1, 2.....}

Whole numbers with negative or positive notation are integers.

{-3, -2, -1, 0, 1, 2, 3, 4......}

Positive integers are the whole numbers (including zero).

{0, 1, 2, 3, 4, .......}

All whole numbers excluding zero are the natural numbers.

{1, 2, 3, 4,........}

Irrational numbers are the part of real numbers written in the form of [tex]\frac{p}{q}[/tex].

{[tex]\sqrt{2},\sqrt{5},\pi, \sqrt{10}[/tex]}

Therefore, [tex]\sqrt{8}[/tex] comes under Irrational numbers.

Option (D) is the answer.

Solve the equation. | 3k-2 | = 2| k+2 |

Answers

Answer:

[tex]-2/5 \text{ and } 6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|3k-2|=2|k+2|[/tex]

First, distribute the 2 into the absolute value:

[tex]|3k-2|=|2k+4|[/tex]

Definition of absolute value:

[tex]3k-2=(2k+4) \text{ or } 3k-2=-(2k+4)[/tex]

Left:

[tex]3k-2=2k+4[/tex]

Subtract 2k from both sides:

[tex]k-2=4[/tex]

Add 2 to both sides:

[tex]k=6[/tex]

Right:

[tex]3k-2=-(2k+4)[/tex]

Distribute the negative:

[tex]3k-2=-2k-4[/tex]

Add 2k to both sides:

[tex]5k-2=-4[/tex]

Add 2:

[tex]5k=-2[/tex]

Divide by 5:

[tex]k=-2/5[/tex]

So, our solutions are:

[tex]-2/5 \text{ and } 6[/tex]

Please show work and help me understand this multi-step equation.

Answers

Answer:

The correct answer is a = 17/9.

Step-by-step explanation:

To begin this problem, we should use the distributive property on the left side of the equation to get rid of the parentheses.  This means that we can multiply each term inside the parentheses by the coefficient outside the parentheses.  This is modeled below:

3a - 2 = 3/4a + 2 1/4

Next, we should change the mixed number into an improper fraction so that it is easier to work with.

3a - 2 = 3/4a + 9/4

Now, we can multiply both sides of the equation by 4.  This is not a required step, but it will get rid of the fractions on the right side of the equation, so we only have to work in full numbers.

12a - 8 = 3a + 9

The next step is to subtract 3a from both sides and add 8 to both sides to separate the variable and constant terms.

12a - 3a - 8 + 8 = 3a - 3a + 9 + 8

9a = 17

Next, we can divide both sides by 9 to get our variable a alone on the left side of the equation.

a = 17/9

Therefore, the correct answer is a = 17/9.

The correct answer is 17/9

Angel saw an internet pop-up advertisement for an investment that doubles your money every year. If angel invests the $20 her grandmother gave her for her birthday, how much will she save in various years?

Answers

2 years it would be 40

Jaden has $30 dollars in a savings account. The internet rate is 10% per year and is not compounded. How much will he have in 3 years?

Answers

Answer:

At the end of three years he would have 21$ remaining

Step-by-step explanation:

10% * 30 =3$

$3*3years=$9

$30-$9=$21

Answer:

it its interest its $39 you add not subtract

Step-by-step explanation:

How do I do scientific notation?

Answers

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

The average price of gasoline in Paris, France, is 1.91 euros per liter. If there are 3.785 liters in one gallon, and the exchange rate is 1.203 euros for one dollar, what is the price of gas in dollars per gallon for gasoline in Paris?
The price of gasoline in Paris is $.61/gallon
The price of gasoline in Paris is $2.38/gallon
The price of gasoline in Paris is $6.00/gallon

Answers

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

3p + 4r = q solve for p

Answers

Answer:

[tex] p = \dfrac{q - 4r}{3} [/tex]

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

[tex] p = \dfrac{q - 4r}{3} [/tex]

Answer:

[tex]p=\frac{q}{3} - \frac{4}{3}r[/tex]

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given [tex]3p + 4r = q[/tex], we can do a few actions on it to isolate the variable.

Divide both sides by 3:

[tex]p + \frac{4}{3}r = \frac{q}{3}[/tex]

Subtract [tex]\frac{4}{3} r[/tex] from both sides:

[tex]p = \frac{q}{3} - \frac{4}{3}r[/tex]

Hope this helped!

how do you add and subtract integers?​

Answers

Answer: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

What is the domain of the function represented by the graph?
U
2
2
all real numbers
-43x4
0-3 Oy <0

Answers

Answer:

I believe its ALL REAL NUMBERS

Step-by-step explanation:

im not sure because they didnt put in a picture of the graph

The length of one leg of the right triangle is 2 ft less than the length of the hypotenuse. The length of the other leg is 1 ft less than the length of the hypotenuse. Find the length of the sides.

Answers

Answer:

The length of the sides are 3 feet and 4 feet, respectively.

Step-by-step explanation:

Given the fact that triangle is a right triangle, it can be represented by Pythagorean Theorem:

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

Where:

[tex]r[/tex] - Hypotenuse, measured in feet.

[tex]x[/tex], [tex]y[/tex] - Legs, measured in feet.

In addition, each leg can be determined as functions of hypotenuse:

[tex]x = r-2\,ft[/tex]

[tex]y = r-1\,ft[/tex]

Hence, the Pythagorean identity can be expanded and remaining variable may be solved:

[tex]r^{2} = (r-2\,ft)^{2}+(r-1\,ft)^{2}[/tex]

[tex]r^{2} = r^{2}-4\cdot r +4 + r^{2}-2\cdot r +1[/tex]

[tex]r^{2}-6\cdot r +5 =0[/tex]

[tex](r-5)\cdot (r-1) = 0[/tex]

[tex]r = 5\,ft\,\vee\,r = 1\,ft[/tex]

According to the definition of hypotenuse, it must be longer than any of legs. Hence, there is just one solution that is reasonable:

[tex]r = 5\,ft[/tex]

And length of the sides are, respectively:

[tex]x = 5\,ft-2\,ft[/tex]

[tex]x =3\,ft[/tex]

[tex]y = 5\,ft-1\,ft[/tex]

[tex]y = 4\,ft[/tex]

The length of the sides are 3 feet and 4 feet, respectively.

Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y

Answers

Answer:

the Empty set

Step-by-step explanation:

Recall that the intersection of two sets is another set that contains the elements common to both of the intersected sets.

Since sets A and C have NO element in common, then the answer is:

that the intersecting set is: the Empty set.

Answer:

the empty set

Step-by-step explanation:

this simbol ∩  is the intersection and it works as follows

[tex]X={1,2,3}\\\\Y={2,5,6,3}\\\\[/tex]

and X∩Y={2, 3}

because 2 and 3 are the only ones that are in both sets

so we have

A={a, e, i, o, u}

B={a, l, g, e, b, r}

C={m, y, t, h}

A∩C= the empty set

because A and C don't have any common subset

Idk sooo please help

Answers

Answer:

20 points

Step-by-step explanation:

Points:

21, 13, 14 and x for the last game

Average:

(21+13+14+x) / 4 = 1748 + x = 4*1748 + x = 68x = 68 - 48x = 20

They must score 20 points

What is the absolute value of -4-9t

Answers

Answer:

−9t−4

Step-by-step explanation:

write 26 as reapeated multiplication​

Answers

Answer:

Step-by-step explanation:

26 = 13* 2

Repeated addition :

26 = 13 + 13

Mary ears an hourly wage of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?

Answers

The answer is 39 hours. It’s very easy algebra

Skill Sumi
A. 5= -2(x- 1)

B. 5 = -2x+2
1) How can we get Equation B from Equation A ?
Choose 1 answer:
A)Rewrite one side (or both by combining like terms

B)Rewrite one side or both using the distributive property

C)Multiply divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression

Answers

Answer:

[tex]\Large \boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

[tex]\sf 5 = -2(x - 1)[/tex]

Applying the distributive property.

We distribute the -2 to the terms in the brackets on the right side of the equation to get Equation B.

[tex]\sf 5 = -2(x) -2(-1)[/tex]

[tex]\sf 5 = -2x + 2[/tex]

To get Equation B from Equation A, we rewrite one side or both using the distributive property.

Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)2=4 C. (x−2)2=2 D. (x−1)2=3

Answers

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

x²−2x − 2=0x²−2x + 1 - 3 =0(x - 1)² - 3 = 0(x - 1)² = 3

Correct choice is D

solve for a a/3+4=6​

Answers

Answer:

a = 6

Step-by-step explanation:

a / 3 + 4 = 6

a / 3 = 2 (Subtract 4)

a = 6 (Multiply by 3)

in a survey of 400 people,80% said that friday was there favorite day of the week .How many people selected friday

Answers

Answer:

(400/100)*80 = 320

Step-by-step explanation:

400 = 100%, just divide by 100 and multiply by 80

Answer:

80%of 400

400-80

400-80 =320

=320 people choose Friday

checking

320

80+20= 100

320+ 80=400

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