How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4

Answers

Answer 1
Please mark brainliest!

Answer is : No solution

A system of two equations can be classified as follows:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Definition Linear Equation in One Variable
A linear equation in one variable is an equation that can be written in the form ax+b=c, where a, b, and c are real numbers and .
Linear equations are also first-degree equations because the exponent on the variable is understood to be 1.
Objective 3: Identify Equations That Are Contradictions and Those That Are Identities
A conditional equation is an equation that is true for some values of the variable but not for others. Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers.
Consider the equation x  x 1. No matter what value is substituted for x, the resulting value on the right side will always be one greater than the value on the left side. Therefore, the equation can never be true. We call such an equation a contradiction. It has no solution. Its solution set is the empty or null set, denoted by { }
or , respectively.
Now consider the equation xx2x. The expression on the left side of the equation simplifies to the expression on the right side. No matter what value we substitute for x, the resulting values on both the left and right sides will always be the same. Therefore, the equation is always true. We call such an equation an identity. It

Related Questions

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

Gia is thinking of a number, witch she calls n .she adds 4 to the number and then doubles the sum.


write an expression to represent Gia's number.

Answers

Answer:

2(n+4)

good luck

Answer:

n+4=n×2

Step-by-step explanation:

that is the equation

HELP PLEASE I need an answer ASAP

Answers

Answer:

72/97

Step-by-step explanation:

take angle c as reference angle

to find sin c

sin c = opposite / hypotenuse

sin c = 72 / 97

Answer:

i dont know

Step-by-step explanation:

During a pancake making contest, Team A makes 8 more pancakes than team B. Team C made twice as many pancakes is team B. Together, the three teams made a total of 72 pancakes. How many pancakes did team A make?

Answers

Answer:

A = 24

Step-by-step explanation:

Use the problems provided info!

A = B+8

C = 2B

72 = B+8+2B+B

72-8 = 4B

6434 = 4B/4

16 = B

A = 24

B = 16

C = 32

What is the domain of the function of y=√x+8 -7

Answers

Answer:

Step-by-step explanation:

Recall that the argument of the square root function y = √x must always be 0 or greater.

If you meant y=√x+8 -7, the domain is therefore [0, infinity).

But if you meant y=√(x+8) -7, the domain is [-8, infinity).

Those parentheses are important!

If AD = 5.1cm, find the height (in cm) of the triangle.

Answers

Answer:

I. AC = 15 cm

II. h = 7.4 cm

Step-by-step explanation:

I. Determination of AC

AB = 9 cm

BC = 12 cm

AC =?

The length AC can be obtained by using pythagoras theory as illustrated below:

AC² = AB² + BC²

AC² = 9² + 12²

AC² = 81 + 144

AC² = 225

Take the square root of both side

AC = √225

AC = 15 cm

II. Determination of the height.

AB = 9 cm

AD = 5.1 cm

BD = h =?

The height of the triangle can be obtained by using pythagoras theory as illustrated below:

AB² = AD² + BD²

9² = 5.1² + h²

81 = 26.01 + h²

Collect like terms

h² = 81 – 26.01

h² = 54.99

Take the square root of

h = √54.99

h = 7.4 cm

Please help me
The question is at what rate did rain fall

Answers

Answer:

4 cm per hour that's the answer


I need help on this please!

Answers

Answer: The correct answer is D, also for part B, do you need help with that one too?

Step-by-step explanation:

бр - 5 =13
need help !

Answers

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]6p-5=13[/tex]

     [tex]+5[/tex]     [tex]+5[/tex]

[tex]6p=18[/tex]

[tex]/6[/tex]      [tex]/6[/tex]

[tex]p=3[/tex]

What are the domain and range of the function f(x)=-3(x-5)2 +4?
domain: (-00, 5)
range: (-00,00)
domain: (-0,4]
range: -00,00)
domain: (-0,5]
range:
(-0,4]
O domain: (-0,00)
range: (-0,4]

Answers

Answers:

Domain is [tex](-\infty, \infty)[/tex]

Range is [tex](-\infty, 4][/tex]

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

Explanation:

We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.

Therefore, the domain is the set of all real numbers which translates to the interval notation of [tex](-\infty, \infty)[/tex]

This interval notation can be thought of as [tex]-\infty < x < \infty[/tex]

----------------------------

The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.

In other words, y = 4 or y can be smaller than this.

In symbols, we would say the range is [tex]y \le 4[/tex] and that translates to the interval notation of [tex](-\infty, 4][/tex]

The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".

what is the perimeter of a rectangle with a base of 5 and a height of 8

Answers

Answer:

26

Step-by-step explanation:

Perimeter= width+height+width+height

               = 5 + 8 + 5 + 8

               = 26 cm

Hope this helps!

find the volume of a cylinder with radius 5 and surface area 180pi

Answers : either 200pi or 325pi help !

Answers

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]V = \pi r^{2}h[/tex]

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]

[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]

Hence, the volume is:

[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]

Therefore, the volume of a cylinder is 325π.

I hope it helps you!

pls help me im so confused
5n-17=2n+1

Answers

Answer:

n=6

Step-by-step explanation:

5n-17=2n+1

Subtract 2n from each side

5n-2n-17=2n-2n+1

3n -17 = 1

Add 17 to each side

3n -17+17 = 1+17

3n = 18

Divide by 3

3n /3 = 18/3

n=6

[tex] \large \sf \star \: \green{Answer }\: \star[/tex]

[tex] \small \sf \fbox{n = 6}[/tex]

Step-by-step explanation:

[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]

subtract 2n from both side

[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]

[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]

Add 17 to both side

[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]

[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]

Divide 18 by 3

[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]

n = 6

A man earns$140 in 5 day week. What is his pay for 3 days?​




please this is ratio and proportion

Answers

Answer:

$84

Step-by-step explanation:

Do 3/5*140 which will give you 84 dollars

plz help ill make u brainliest

A manufacturer ships its product in boxes with edges of 4 inches. If 12 boxes are put in a carton and completely fill the carton, what is the volume of the carton?

Answers

A box would be 64inches cubed
12x64 =768
So the volume of the carton is 768inches cubed

whats is the answer to 7 x 1781

Answers

Answer:

12,467

Step-by-step explanation:

7 · 1781 = 12467

solve for x and y in the system of equation
y=x²-4x
2x-y=2
I'll mark brainliest​

Answers

Step-by-step explanation:

[tex]y = {x}^{2} - 4x \\ y = x(x - 4) - - - (a) \\ 2x - y = 2 \\ y = 2x - 2 \\ y = 2(x - 2) - - - (b) \\ (a) = (b) : \\ x(x - 4) = 2(x - 2) \\ {x}^{2} - 4x = 2x - 2 \\ {x}^{2} - 6x + 2 = 0 \\ x = 5.6 \: \: and \: \: 0.4 \\ y = 2(5.6 - 2) \: \: and \: \: 2(0.4 - 2) \\ y = 7.2 \: \: and \: \: - 3.2[/tex]

Which expression is equivalent to

Answers

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If you have $50 in yo ur bank account, deposit a $50 birthday check, and withdraw $20 to buy a shirt, how much is left in your account at the end?

Answers

Answer:

80

Step-by-step explanation:

50+50=100-20=80

80
50+50=100
100-20=80

how do i solve this using multi-step ?

Answers

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−4)=2(−2x+1)

(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)

3x+(−12)=−4x+2

3x−12=−4x+2

Step 2: Add 4x to both sides.

3x−12+4x=−4x+2+4x

7x−12=2

Step 3: Add 12 to both sides.

7x−12+12=2+12

7x=14

Step 4: Divide both sides by 7.

7x /7 =14 /7

x=2

How would I know this it so hard

Interest earned:$45 Principal: ? Interest rate: 3% Time: 2 years

Answers

Answer:

The Principal = $75,000

Step-by-step explanation:

Formula for finding the principal:

I × 100/ R × T

Therefore;

Principal = 45 × 100 / 3/ 100 × 2

[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]

Which means that the Principal is $75,000.00

Jennifer can clean the house by herself in 3 hours. Her little brother Andy helps her clean and it takes them 2
hours working together. How long would it have taken Andy to clean the house if he had worked alone?
a. hours
b. 3 hours
c. 6 hours
d. 1 hour

Answers

Answer:

c

Step-by-step explanation:

If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.

Answer:

Step-by-step explanation:

c. 6 hours

Which situation can be modeled by a linear function?
A. The population of bacteria triples every day.
B. The value of a cell phone depreciates at a rate of 3.5% each year.
C. An amusement park allows 50 people to enter every 30 minutes.
D. A baseball tournament eliminates half of the teams after each round.

Answers

C. An amusement park allows 50 people to enter every 30 minutes.

Answer:

(3) An amusement park allows 50 people to enter every 30 minutes.

Step-by-step explanation:

I hope it helped because it helped me so much.

Factor completely . 121 - x ^ 2

Answers

Answer: Since both terms are perfect squares, factor using the difference of squares formula,  

a 2  −  b 2 =  ( a + b )  ( a − b)  where  a = 11  and  b = x . ( 11+x) (11-x)

An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?

Answers

Answer:

The author sold a total of 30240 books following this trend.

Step-by-step explanation:

Let's find 5% of 14400 first;

14400 * 5%

14400 * 5/100

144 * 5

720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)

=> aₙ = a₁ + r(n - 1)

=> a₂₃ = 14400 + 720(23 - 1)

=> a₂₃ = 14400 + 720(22)

=> a₂₃ = 14400 + 15840

=> a₂₃ = 30240

Hope this helps!

The author sold a total of 30240 books following this trend.

Let's find 5% of 14400 first;

[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]

What is an arithmetic progression?

A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.

So using the arithmetic progression we have:

[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]

See more about arithmetic progression at brainly.com/question/20385181

Pls help I don’t get it

Answers

Answer:

h = 5/2

Step-by-step explanation:

[tex]\frac{3}{4} *\frac{1}{2} *h=\frac{15}{16} \\\\\frac{3}{8} *h=\frac{15}{16}[/tex]

divide both sides by 3/8

[tex]h=\frac{5}{2}[/tex]

Which statement is true?
Question 13 options:

A)
–|3| = 3 and |4| = 4

B)
|–3| = 3 and –|–4| = –4

C)
|–3| = 3 and –|4| = 4

D)
|–3| = 3 and |–4| = –4

Answers

B.

Anything inside of the lines is positive. Positive 4 times negative 4 is negative

What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

help me pleaseeee i’m begging!!!!

Answers

Answer:

The student did not complete the inverse operations correctly in Step 3

A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each.
How many of each kind of eggs has she bought?​

Answers

Answer:

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

Step-by-step explanation:

Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.

x + y = 50

0.12x + 0.14y = 6.6

Solve by elimination by multiplying the top equation by -0.12:

-0.12x - 0.12y = -6

0.12x + 0.14y = 6.6

Add these together and solve for y:

0.02y = 0.6

y = 30

So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:

x + y = 50

x + 30 = 50

x = 20

So, she bought 20 eggs that were 12 cents.

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

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