Determine Number of Solutions in System

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.

Determine Number Of Solutions In SystemDetermine If The Following System Of Equations Has No Solutions,

Answers

Answer 1
-x+y=8=>y=8+x2x-2y=-14=>x-y=-7=>-x+y=7=>y=7+x

As both left side is same

Slopes are equal

There is no solutions .

Answer 2

Answer:

no solutions

Step-by-step explanation:

Given equations:

Equation 1:  [tex]-x+y=8[/tex]Equation 2:  [tex]2x-2y=-14[/tex]

Rewrite the given equations to make y the subject:

Equation 1

[tex]-x+y=8[/tex]

[tex]\implies y=x+8[/tex]

Equation 2

[tex]2x-2y=-14[/tex]

[tex]\implies 2y=2x+14[/tex]

[tex]\implies y=x+7[/tex]

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPP

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Answer:

a) Class D - lowest variability/range

b) Class C - highest average/mean

Hope this helps!

Please help me solve this problem ASAP

I have a huge test coming up and I need to understand the questions
( Will mark brainiest )

Answers

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]

P.S: I anwsered it here:

https://brainly.com/question/27350649

Answer:

1.25

Step-by-step explanation:

There is an invisible 1 whenever you add x, y, w, whatever. So when you add w + .25w you are really adding 1w + .25w. Because these are like terms, they go together and combined 1+.25 is 1.25. I hope this helps.

Please help I will give brainliest.

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Answer:

the answer is (x-1)^2=4

Determine the value of the angle.



Angle BDC=

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90°-53°=37°

The whole angle is right angled

The answer is 37 degrees.

(2,132 x 10 -15 - (4,695 x 10 )​

Answers

Answer:

25,645

________________________________________________________

Solve

First, find 4,695 × 10

[tex]4,695 * 10 = 46,950[/tex]

Next, do 2,132 × 10

[tex]2,132 * 10 = 21,320[/tex]

Now, subtract by 15.

[tex]21,320 - 15 = 21,305[/tex]

Lastly, subtract by the product you found earlier.

[tex]46,950 - 21,305 = 25,645[/tex]

________________________________________________________

Questions?

Ask in comments box.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

mode = 1

Step-by-step explanation:

the mode is the value that occurs most often in the data set.

1 occurs 3 times and is therefore the mode

Solve for x in the image below.

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The answer is 5 hope this helps

this is from gradpoint, please help me y’all :((

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Answer if im not misstaken its no

Step-by-step explanation:

because ur working with fractions they dont = the same thing. lmk if im wrong

Answer:

No, these functions fail to be inverses of each other.

Step-by-step explanation:

We have two functions :

f(x) = 3x + 2g(x) = [tex]\frac{x-2}{3}[/tex]

Let's take the function f(x) and take x = 1.

f(1) = 3(1) + 2f(1) = 5 [Keep this in mind]If f(1) is 5, then if g(x) is an inverse function, g(1) should be [tex]\frac{1}{5}[/tex]

Let's try the same with g(x).

g(1) = [tex]\frac{1-2}{3}[/tex]g(1) = [tex]-\frac{1}{3}[/tex]

Clearly, they are not inverse functions of each other.

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

What is it? pls help!

Answers

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

Can y’all help with this? (It’s exponential and decaying factors). Thanks!!

Answers

Answer:

  2.37×10^-11 milliliters

Step-by-step explanation:

The exponential model for decay is ...

  y = a·b^x

where 'a' is the initial value, 'b' is the decay factor, and x is the number of intervals over which the decay is taking place.

__

Here, you're given an initial value of a=500 mL.

The decay factor is 1 more than the decay rate, so is ...

  b = 1 -12% = 0.88

We are asked for the remaining amount after 240 intervals (breaths), so that will be ...

  y = 500·0.88^x

  y = 500·0.88^240 ≈ 2.37×10^-11 . . . . milliliters

__

Additional comment

That's about 640 million molecules of air--not very much. After 400 breaths, there is about 1 molecule of the original air remaining.

A glass jar has a height of 5 inches and a radius of 2. 5 inches. vanessa wants to fill the jar with beads that cost $0. 12 per cubic inch. how much will it cost for her to fill the jar?

Answers

Answer:
height(h)= 5in
radius(r) =2.5in
Volume(V)= pi ×r^2 ×h
V=(22/7)2.5^2×5=98.21in^3
$0.12=1 in^3
Amount to be paid= 0.12×98.21
=$11.79

Step-by-step explanation:
Firstly, find the volume of the jar. When the filled with the beads to the brim, it will assume the shape of the jar, hence their volume will be equal. We assume that the jar is a cylinder. After you find the volume, multiply the volume by the amount per cubic inches.

What is the measure of angle y? 20

Answers

Step-by-step explanation:

as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).

and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.

these are called complementary angles.

so, in the top right quarter we have a 52° angle, and the other one must be

90 - 52 = 38°

as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,

y = 38°

The measure of angle ∠y = 38°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the first line be A

Let the second line be B

Now , the lines A and B intersect at the point O perpendicular to each other

And , The angles formed are = 90°

Let the measure of m∠A = 52°

Now , the measure of m∠y = 90° - 52°

The measure of angle m∠y = 38°

Hence , the measure of angle m∠y = 38°

To learn more about angles formed by intersecting lines click :

https://brainly.com/question/16315358

#SPJ7

HELPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

See below ↓↓

Step-by-step explanation:

(a) Most variability

Refers to the class with the biggest range⇒ Class D

(b) Highest scores on average

Refers to the class with the highest mean score⇒ Class C

help me with this math question please its find the area <3

Answers

Answer:

9.628 cm²

Step-by-step explanation:

Let A be the area of the sector OAB

Let a be the area of the sector OCD

The shaded area = A − a

[tex]\begin{aligned}A &=\frac{1}{12} (\pi \times 7^{2}) \\&=12.828 \ldots\end{aligned}[/tex]

[tex]\begin{aligned}a & = \frac{1}{12}\left(\pi \times 3.5^{2}\right) \\&=3.2 \ldots\end{aligned}[/tex]

The shaded area ≈ 12.828 - 3.2 ≈ 9.628 cm²

Can someone please help me with this one? Thanks!

Answers

The cones volume is 207.24cm but the weird thing is when you try to convert the cubes. I got 69.08 cubes but I don't know if that is correct. Have a nice day!

I need it in 10 minutes. How do I get these it’s just confusing me

Answers

The surface area, the lateral area and the volume are, respectively:

S = 100 mi², L = 200 mi², V = 500 mi³S ≈ 201.062 cm², L ≈ 508.938 cm², V ≈ 1809.558 cm³S = 139.5 km², L = 180 km², V = 558 km³S = 6 km², L = 108 km², V = 54 km³

How to determine the volume, the lateral area and the surface area of each solid

The volume is a measure of the space occupied by the solid, the lateral area is the measure of the area occupied by lateral faces of the solid and the surface area is the area occupied by the cross section of the solid. Please notice that the volume of each prism is equal to the product of the surface area and the height of the solid and the lateral area is the sum of the areas of the lateral faces.

In this exercise we must follow these steps to obtain the required results:

Calculate the surface area.Calculate the lateral area.Calculate the volume.

Lastly, we proceed to make the corresponding calculations:

Surface area - Figure 1

S = (10 mi)² = 100 mi²

Lateral area - Figure 1

L = 4 · (10 mi) · (5 mi) = 200 mi²

Volume - Figure 1

V = S · h = (100 mi²) · (5 mi) = 500 mi³

Surface area - Figure 2

S = 0.25 π · (16 cm)² ≈ 201.062 cm²

Lateral area - Figure 2

L = π · (18 cm) · (9 cm) ≈ 508.938 cm²

Volume - Figure 2

V = S · h = (201.062 cm²) · (9 cm) ≈ 1809.558 cm³

Surface area - Figure 3

S = 0.5 · (5) · (9 km) · (6.2 km) = 139.5 km²

Lateral area - Figure 3

L = (5) · (4 km) · (9 km) = 180 km²

Volume - Figure 3

V = S · h = (139.5 km²) · (4 km) = 558 km³

Surface area - Figure 4

S = 0.5 · (3 km) · (4 km) = 6 km²

Lateral area - Figure 4

L = (9 km) · (3 km) + (9 km) · (4 km) + (9 km) · (5 km) = 108 km²

Volume - Figure 4

V = S · h = (6 km²) · (9 km) = 54 km³

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

What us the diameter of a hemisphere with a volume of 5403ft³, to the nearest tenth of a foot?

Answers

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

Huy borrowed $4500 from a bank at a rate of 5% per year compound interest. He paid back the money and interest at the end of 2 years.
How much interest did he pay?

Answers

Answer:

Step-by-step explanation:

FV = PV ( 1 + i)^n       i = decimal interest per period(year)   n = periods(years)

                   FV = future value   PV = present value (deposit or loan amount)

FV = 4500 ( 1 + .05)^2

FV = 4500(1.05)^2 = 4961.25    subtract the orginal deposit  which means 461.25 interest paid at 2 yrs

show that the relation R in R define as R = {(a, b): a<_ b}, is reflexi when transistor but not symmetry​

Answers

Answer:

R is reflexive and transitive but not symmetric.

Step-by-step explanation:

R = {(a, b); a ≤ b}

Clearly (a, a) ∈ R as a = a.

R is reflexive.

Now,

(2, 4) ∈ R (as 2 < 4)

But, (4, 2) ∉ R as 4 is greater than 2.

R is not symmetric.

Now, let (a, b), (b, c) ∈ R.

Then,

a ≤ b and b ≤ c

→ a ≤ c

→ (a, c) ∈ R

R is transitive.

Thus, R is reflexive and transitive but not symmetric.

Use the triangle to evaluate each function. sin(a) = tan(a) = sec(a) =

Answers

The value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

How do we find the sin, tan, and sec function?

By right-angled triangle, we can find the trigonometric function from the sides of the triangle.

sin x = perpendicular/ hypotenuse

cos x = base/ hypotenuse

sec x = hypotenuse /base

From a triangle ABC of base 4, perpendicular 3, and hypotenuse 5, we get

sin a = perpendicular/ hypotenuse

        = 3/5

cos a = base/ hypotenuse

         = 4/5

sec a = hypotenuse /base

        = 5/4

Hence, the value of the given function is as follows sin a = 3/5, cos a =4/5 and sec a = 5/4.

Learn more about trigonometry;

https://brainly.com/question/26719838

Which expression is equivalent to 4+w+12w

Answers

Answer:

13w+4 or 4+13w

Step-by-step explanation:

w is the same as one then it will be 4+w(1)+12w =12w+w(1)=13w

4 over here does not have friend therefore it renains to be 4 =13w+ 4

For his new room, Darien's grandmother gave him a handmade quilt. The quilt is made up of 16 squares set in 4 rows of 4. The area of each square is 324 in? What are the dimensions of the quilt in inches?​

Answers

Answer:

5184 sq ins.

Step-by-step explanation:

There are 16 squares  each of area 324,

so total area of the quilt = 324 * 16

= 5184 in^2.

PLSSSSS HELP, PLS HELP, WILL MARK BRIANLIEST IF YOU HELP!!!!!

Answers

Answer:

the answer is B.

Step-by-step explanation:

Help With this Math problem

Answers

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]

c = line across from the right angle

find the missing side
1) 6
2) 6.41
3)6.40

Answers

Answer :

6.40. (Option 3)

[tex] \\ [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

The base (BC) is 4

The perpendicular (AC) is 5

The hypotenuse (AB) is c.

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (4) {}^{2} + (5 {)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 16 + 25 }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 41 }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad c = \sqrt{41} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad c \approx 6.40 }}} \\ \\[/tex]

Therefore,

The measure of the third side (c) is 6.40 .

Step-by-step explanation:

As it is a right angle triangle , So

Hypotenuse = C unitsBase = 4 unitsperpendicular = 5 units

We have to find the value of hypotenuse i.e C

By Pythagoras theorem

H² = P² + B²

putting the known values ,

C² = 5² + 4²

C² = 41 units

C = √41 units

C = 6.40 units

Errin bought stock in XYZ Corporation for $100 per share. One month later the stock was up 10%. After another month the stock fell 10%. a. What was the price of the stock after the first month? b. What was the price of the stock after the second month?​

Answers

Answer:

350 sum

Step-by-step explanation:

Pls help me on this question

Answers

Check the picture below.

Solve the system of equations. 3 x + 4 y = − 23 x = 3 y + 1 ​ 3x+4y=−23 x=3y+1 ​
x=

Answers

Answer:

x=−5

y=−2

Step-by-step explanation:

{3x+4y=-23}{x=3y+1}

x=−5

y=−2

Someone help me please

Answers

A is the correct answer darling
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