How many solutions does an equation have? Is there always a solution?​

Answers

Answer 1

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.Step-by-step explanation:


Related Questions

I would like the right and serious answer pls thx :D

Answers

3x-2=6x-5
-2=3x-5
3=3x
x=1

AC=3x-2+6x-5
AC=9x-7
AC=9(1)-7
AC=2

A robot can complete 8 tasks in ⅚ hour. Each task takes the same amount of time. How long does it take the robot to complete one task? It takes the robot ___1___ hour(s) to complete one task. How many tasks can the robot complete in one hour? The robot can complete ______ task(s) in one hour.

Answers

Answer:

1 task = 6.25 minutes

The robot can complete 9.6 task in 1 hour

Step-by-step explanation:

Number of task = 8

Time taken = 5/6 of 1 hour

5/8 of 1 hour = 5/6 × 60 minutes

= 300/6

= 50 minutes

8 task takes 50 minutes

1 task = 50 minutes / 8 task

= 6.25 minutes

1 task = 6.25 minutes

x task = 60 minutes

1 : 6.25 = x : 60

1/6.25 = x / 60

1*60 = 6.25*x

60 = 6.25x

x = 60/6.25

= 9.6

x= 9.6

The robot can complete 9.6 task in 1 hour

14. If f(x) = 3x - 4 and g(x) = x2 - 4x + 6, then f(x) - g(x) for what values of x?

Answers

Answer:

X = 2

Step-by-step explanation:

You can multiply -2.2 by 6.2 to find the total variation in water level. What decimal represents the total variation in water level that Ericka observed?

Answers

Answer:-13.64

Step-by-step explanation:

In the trapezoid below, DE is parallel to AB. If CE = 6, AC = 6.4, and
DC = 4, find the length of CB. Figures are not necessarily drawn to scale.
E
D
-
А
B

Answers

Answer:

Hi po the answer is ab

Step-by-step explanation:

hope it help

Answer:

hope its help

Step-by-step explanation:

godblesscarry on learning

on a number line where do 0.85 and 0.50 go

Answers

Answer:

0.50 goes right in the middle between 0 and 1 and 0.85 goes 1/5 away from 1

Step-by-step explanation:

Help!! Thank you so much beforehand

Answers

Answer: x=8

Step-by-step explanation: these two polygons are similar. 96 divided by 8 equals 12. So 64 divided by 8 equals 8, which is the answer. I really hope this helps and I hope you have a great day!

3(2x + y) + 4(x – 4y) + x2

Answers

X^2+10x-13y
Hope I helped :D

Answer:

12x-13y

Step-by-step explanation:

6x+3y+4x-16y+2x

combine like terms

12x-13y

Choose the equation that represents the graph below: (1 point)
-6
O y = x-3
O y = -x +3
Oy=-x-3
O y = x+3

Answers

the answer should be the 4th choice

help ts all in the screenshot

Answers

I think it's decreasing

We want to cut an apple pie of 9-inch diameter into equal slices, so that the area of each slice is at
least 10 square inches. What’s the maximum number of slices we can cut? please help

Answers

Answer:

Step-by-step explanation:

A'=25.4469 square inches Explanation:diameter is 18shape is circularArea of full pizza is A= ×1824Number of slices is 10 equalArea of each slice is A'=110AA'=110×π×1824A'=25.4469 square inches

Find the equation of the hyperbola if y=2x−5 and y=−2x+3 are the asymptotes, and it is known that one of the vertices is on the y-axis.

Answers

Answer:

(x-2)^2/4 - (y+1)^2/16 = 1

Step-by-step explanation:

The first thing you want to do is find the center of the hyperbola. Since you have the two equations of the asymptotes, their intersection must be what you want. setting 2x - 5 equal to -2x + 3, you get that x = 2, meaning that 2 is the x-coord of your center. Plugging this value of x into the equations, you get that y = -1. Now that you have your center, you have the information that one of the vertices is on the y-axis. Since the distance from the center to the vertice must be a straight line, you know for sure that this hyperbola is a horizontal one (a vertical one would not have a vertice on the y-axis given this center). Knowing this, you have the equation form (x-2)^2/a^2 - (y+1)^2/b^2 = 1. I got a little confused here, but remember that you now know the center and the equations of the asymptotes. y = 2x - 5 is equal to 2(x - 2) - 1. The form of the asymptotes of a horizontal hyperbola is b/a(x-h) + k, which means that b/a must be equal to 2. This also means that 2a = b, and 4a^2 = b^2. Now you can substitute b^2 for 4a^2, leaving you with the equation (x-2)^2/a^2 - (y+1)^2/ 4a^2 = 1. Remember that vertice on the y-axis? Since it must be at the same y-coordinate (since you know that it must be a horizontal line from the center to the vertice), you know the vertice has to be (0, -1). You can plug these values into the previous equation, which gives you (0 - 2)^2 / a^2 - 0 = 1. This leaves you with 4/a^2 = 1, which means that a must be 2. Since you already know that b is 2a, b must be equal to 4. Plugging those values into the equation, you get your final answer, (x-2)^2/4 - (y+1)^2/16 = 1.


Please help me out with this

Graph y=3/4x + 2

Answers

Answer:

i wrote how to below!

Step-by-step explanation:

okay since the y intercept is 2, put a dot on the point (0, 2)

now for the next one just substitute an easy value like 1 to the equation

y = 3/4(4) + 2

the 4 will cancel out the denominator then...

y = 3 + 2

y = 5

now put a point on (4, 5)

Answer:

answer in explanation

Step-by-step explanation:

(0,2)

(1,2.75)

(2,3.5)

(3,4.25)

(4,5)

Can anybody help me with this?

Answers

The answer is 183 and the is 123 and 194 and 823

A (x) = x ^ 4-2022x ^ 3-2022x ^ 2-2022x-2022
A (2023)?

Answers

Answer:

1

Step-by-step explanation:

Through simply substituting your value into everywhere there is an 'x', you can get your answer.

[tex]A(2023)=(2023)^4-2022(2023)^3-2022(2023)^2-2022(2023)-2022\\A(2023)=1[/tex]

In a survey of 930 students in a school, 92% reported having pets at home. What is the margin of error?

Answers

Answer:

8% or 74

Step-by-step explanation:

930 x 0.92 = 856

930 - 856 = 74

Have a great day!!

Please rate and mark brainliest!!

In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

In a survey of 930 students in a school.

92% reported having pets at home.

We need to find the margin of error.

The formula for margin of error=±1/√n

Where n is number of students

margin of error=±1/√930

=±1/√930

=±1/30.45

=±0.033

Now let us multiply with hundred.

=3.3%

Hence, In a survey of 930 students in a school, 92% reported having pets at home then margin of error is 3.3%.

To learn more on Percentage click:

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The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line? * -3. y-intercept = 2 slope
3. y-intercept = -2 slope
3. y-intercept = 2 slope
-3. y-intercept = -2 slope

Answers

Answers:

Slope = -3

y intercept = -2

Explanation:

Compare the given equation with y = mx+b

We see that m = -3 is the slope and b = -2 is the y intercept.

hello!

[tex]===========================================[/tex]

we're given the line's equation; it's written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the line's slope

[tex]\pmb{b}[/tex] is the y-intercept of the line

in this case,

slope: [tex]\pmb{-3}[/tex]

y-intercept: [tex]\pmb{-2}[/tex]

[tex]=====================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

48% of what number is 84?

Answers

48/100 • x = 84
x = 175

Hope this helps.

Answer:

100 i think

Step-by-step explanation:

let the number be x

48% = 0.48

0.48x = 48

48 / 0.48 = x

x = 100

14 out of 50 equals what percent

Answers

0.28 is the answer to your question.

Answer:

28%

Step-by-step explanation:

50 x 0.28 is 14

The opposite angles of cyclic quadrilateral are(3X+10) and (2X+20). Find the angles.​

Answers

Answer:

40°

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are equal

3x + 10 = 2x + 20

Take away 2x from both sides

x + 10 = 20

Take away 10 from both sides

x = 10

Now that we know the value of x, substitute it back into the equations

3x + 10 = 3 x 10 + 10 = 30 + 10 = 40

2x + 20 = 2 x 10 + 20 = 20 + 20 = 40

Both angles are equal to 40°

Step-by-step explanation:

Need to FinD :

We have to find the angles.

[tex] \red{\frak{Given}} \begin{cases} & \sf {We\ are\ given\ a\ cyclic\ quadrilateral.} \\ & \sf {The\ measures\ of\ the\ opposite\ angles\ of\ the\ quadrilateral\ are\ {\pmb{\sf{(3x\ +\ 10)^{\circ}}}}\ and\ {\pmb{\sf{(2x\ +\ 20)^{\circ}}}}.} \end{cases}[/tex]

We know that,

The opposite angles of the cyclic quadrilateral are (3x + 10)° and (2x + 20)°. And we have to find the angles.

In a cyclic quadrilateral, all the four vertices of the quadrilateral lie on the circumference of the circle. The opposite angles in a cyclic quadrilateral add up to 180°. So simply, we just simplify the measures and find the value of x. And at last, we'll find the angles of the quadrilateral.

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {(3x\ +\ 10)\ +\ (2x\ +\ 20)\ =\ 180} \\ \\ \\ \sf \dashrightarrow {3x\ +\ 10\ +\ 2x\ +\ 20\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ +\ 30\ =\ 180} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 180\ -\ 30} \\ \\ \\ \sf \dashrightarrow {5x\ =\ 150} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{150}}{\cancel{5}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 30.}}}}_{\sf \blue{\tiny{Value\ of\ x}}}} [/tex]

∴ Hence, the required value of x is 30. Now, let us find out the angles.

[tex]\rule{200}{3}[/tex]

First AnglE :

3x + 103(30) + 1090 + 10100

∴ Hence, the measure of the first angle of the quadrilateral is 100°.

[tex]\rule{200}{3}[/tex]

Second AnglE :

2x + 202(30) + 2060 + 2080

∴ Hence, the measure of the second angle of the quadrilateral is 80°.

8w2x + w2x you have to simplify but it polynomial equations

Answers

Answer:

9w2x.

Step-by-step explanation:

8w2x + w2x

= 9w2x.

Byron’s income last year was $61,700. He made $48,000 at his plumbing job and had income from an apartment that he rented out. If Byron earned the same amount of rent each month for the entire year, approximately how much per month did he collect? a. $940 b. $1,140 c. $4,000 d. $5,140 Please select the best answer from the choices provided A B C D.

Answers

Answer:

c

Step-by-step explanation:

i got i wrong with b and d and it showed me the right aswer

Need help with this math problem please

Answers

X is greater than or equal to 20

A jeweler made a new crown for the queen. It was made with an 8.74-carat diamond, a 7.086-carat ruby, and a 4.932-carat sapphire.
What is the approximate total weight of the gems?

Answers

Answer:

20.758

Step-by-step explanation:

8.74 + 7.086 + 4.932

pls help i don’t know how to do this

Answers

Step-by-step explanation:

to do what ?

the calculation of the 2 solutions for the quadratic equation is already done here.

so, what else do you need ? an explanation ?

in general, a quadratic equation looks like

ax² + bx + c = 0

and the formula for the solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

remember, a linear equation (x¹) has one zero solution.

a quadratic equation (x²) has 2 zero solutions.

a cubic equation (x³) has 3 zero solutions.

and so forth.

the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.

so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.

and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.

to finish this up for better clarity :

the first solution is

x = (-17 + sqrt(217))/4 = -0.567270034...

the second solution is

x = (-17 - sqrt(217))/4 = -7.932729966...

is there anything still unclear ? please let me know.

Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256

Which statement best describe Haley’s first error?

Haley’s work evaluating (Negative 2) Superscript 8 is shown below.

(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256

Which statement best describe Haley’s first error?

Answers

Answer:

256

Step-by-step explanation:

You multiply -2 an even amount of time which gives you a positive answer, if you were to multiply them an odd amount of times then it would be a negative number.

Answer:

The other guy is correct it is d Haley misinterpreted and got the wrong sign

Step-by-step explanation:

The cost of interest of a $500 loan for 12 months is $21.88. What is the interest rate charged for the loan per year?

Answers

the interest rate is approx. 22.85% per year.

500 divided by 21.88 equals approx 22.85.

hope this helps :)

Click and drag like terms onto each other to simplify fully.
2-5+7y-5x+7x-2y

Answers

Answer: 5y + 2x - 3

(In simplest form)

Jim is 50% as tall as a ladder. The ladder is 12 feet tall. How tall is Jim?

Answers

Answer:

Jim is 6ft tall

Step-by-step explanation:

This ladder is 12 feet tall. And Jim is half of it (Fifty %) So, Therefore Jim is 6ft tall

6 ft tall

50% of (multiplied by) 12 feet equals 6 feet

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party. Select all the statements that express this ratio.

Select all that apply:
a.The ratio of pizzas to kids is 3 to 7.
b.For every 7 kids there need to be 3 pizzas.
c.The ratio of kids to pizzas is 7:3.
d.The ratio of kids to pizzas is 3:7.
e.The ratio of pizzas to kids is 7 to 3.

Answers

A, b, and d! Hope this helps!

The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Here,

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party.

We have to find the all statements that express this ratio.

What is Ratio?

A ratio indicates how many times one number contains another.

Now,

There are 3 pizzas.

Number of kids = 7

Hence, The ratio of pizzas to kids = 3 : 7 ( it can be read as 3 is to 7 )

And, For every 7 kids there need to be 3 pizzas.

The ratio of kids to pizzas = 7 : 3 ( it can be read as 7 is to 3 )

Therefore, The correct statements that express ratio are;

b. For every 7 kids there need to be 3 pizzas.

c. The ratio of kids to pizzas is 7:3.

Learn more about the ratio visit:

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