Need help with this

What is the solution to the system of equations?
3x - 2y = 8
6x - 4y = 12
Use any algebraic method (substitution or elimination) to justify that the given system of equations has no solution.
What do you know about the two lines in this system of equations graphically?
Answer:

Answers

Answer 1

Answer:

[tex]\displaystyle Inconsistency\:[No\:Solution][/tex]

Step-by-step explanation:

We need to isolate one pair of variables so they are set to zero. Now, in this case, we need to split one of the equations in negative half, so we will select the second equation:

[tex]\displaystyle \left \{ {{3x - 2y = 8} \atop {6x - 4y = 12}} \right. \\ \\ \\ \left \{ {{3x - 2y = 8} \atop {-\frac{1}{2}[6x - 4y = 12]}} \right. \\ \\ \left \{ {{3x - 2y = 8} \atop {-3x + 2y = -6}} \right. \\ \\ \\ \boxed{0 \ne 2}[/tex]

The fact that we have a result like this proves that we cannot obtain a solution from this system, which means that on a graph, these equations are considered parallel [no intersection, so no solution].

I am joyous to assist you at any time.


Related Questions

Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other side, for the equation 1 5 x + 1 3 = −1 2 x + 8 3 ? Select all that apply.
One-fifth x minus StartFraction 7 Over 3 EndFraction = negative one-half StartFraction 7 Over 10 EndFraction x = StartFraction 7 Over 3 EndFraction
Negative StartFraction 7 Over 3 EndFraction = Negative StartFraction 7 Over 10 EndFraction x
x = negative five-halves x + StartFraction 35 Over 3 EndFraction
0 = negative StartFraction 7 Over 10 EndFraction x + StartFraction 7 Over 3 EndFraction

Answers

Answer:

B and C) 7/10x= 7/3 and -7/3 =-7/10 are the answers you are looking for

Step-by-step explanation:

Hope this helps! :)

Answer:

your answer would be B and C!!

Step-by-step explanation:

that is for edge 2020.

Matt runs in the park every day at the average rate of c meters per minute.
Today Matt ran at triple his usual speed. What was his speed today?

If you get it correct you will get 5 stars aa thanks a friends request and a brainliest and 50 points

Answers

Answer:c(3) or c × 3 or c3 Comment if you need more help or information!!Hope this helps!!

:D

Thomas got a flat tire and had to walk 14 mile to the nearest gas station. How many feet did Thomas walk?

Answers

Answer:

73920

Step-by-step explanation:

look it up

Answer:

73920

Step-by-step explanation:

There are 5280 feet in a mile

Thus, we can multiply 14 with 5280

Receving 73920

So 73920 feet is our answer

btw 14 miles is a Longggggg way to walk

ab" that goes through points (0,17)
Write an exponential function in the form y
and (2, 153).
What is the answer

Answers

Yes firebox beans Amanda’s

what is the measure of
In your response, be sure to include angle measure and the work you did to find it .

Answers

Check the picture below, notice, the triangles are named ABC and DEF, so the corresponding angles will be A to D, B to E and C to F.

Please help me to find 1 math question

Answers

Answer:

Answer on image

Step-by-step explanation:

Three consecutive integers add up to -6. What are the integers

Answers

Answer:

Three consecutive means 3 numbers right next to each other.

So how we’re gonna do that.
Multiple ways.

Way #1, guess and check method

So the final result has to be -6.

Using common knowledge we know if we add a negative with a negative you’d get a smaller negative.

And also if you add negative that in which the number is greater then the positive number, then it’ll also be negative.

Positive + positive is impossible here so that already crossed out a ton of options.
Let’s explore the negative view perspectives.
Since -6 is a pretty easy integer, you can easily guess with small numbers.

First attempt: -1 + -2 + -3 = -6
There -1, -2, and -3.

Way #2, algebraically

So what is a consecutive integer.
It’s a number that comes after another so for example.

1, 2, 3

The pattern is + 1.
There has to be a base so we can do for example “x”.
x, x+1, x+2

There’s 3 consecutive integers.

If you replace x with any number, the numbers given should be consecutive.

So using that knowledge youc an solve for the interger needed here which is -6.
x + x+1 + x+2 = -6
Simplify and solve.

3x+3= -6
3x= -9

x= -3

So using that -3, we can subside into the expressions from before.
x, x+1, x+2

-3, -3 + 1, -3 +2
-3, -2, -1

They are consecutive.

Answer:

-6, -5, -4

Step-by-step explanation:

Help please solve for x

Answers

I how do you put images like that^^

how do you find one side length of a square that has a area of 289

Answers

Answer:is the same number

Step-by-step explanation:289 because it’s a square all squares have same side

HELP FAST!!
(m+nx)/(m-n)=(p+qx)/(p-q) if mq=np

Answers

Basically all you need to show is –(p-q)=(-p)+q. (1)

Since 0 = (p-q) + (-(p-q)) (additive inverse), we get –p = -q +(-(p-q)). Now substitute for (–p) in (1).

Then m+q-n-p=(m+q)-(n+p) follows. (since -n-p+(n+p) = 0 implies -n-p = -(n+p) (additive inverse))

so technically all u need to show is –(p-q)=(-p)+q. Hope this helps!!

Calculate the distance between points (0,0) and (4, 6) on the coordinate plane.​

Answers

4 up and 6 right


i hope this helped

When two parallel lines are cut by a transversal, which of the statements is NOT true? Corresponding angles are congruent. Alternate interior angles are congruent. Same-side interior angles are congruent. Vertical angles are always congruent.

Answers

Answer: I believe it is same side interior are congruent.

Step-by-step explanation:

Answer:

same side interior angles are congruent

Step-by-step explanation:

just took the test ;)

what is 10 - 3 in mathematics

Answers

Answer:

7

Step-by-step explanation:

Answer:

It equals 7 :)

Step-by-step explanation:

You  have to subtract 10 and three that is how you get three

A car rental company charges a daily rate of $ 24 plus $ 0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 37.00. How many miles did you drive?


_________miles

Answers

Answer: 130 miles

Explanation: make an equation. 24 + 0.10m = 37.00. subtract 24 from both sides leaving m for miles on one side. 0.10m = 13.00. now divide both sides by 0.10 leaving m by itself and making the equation m = 130.

Evaluate for a = 2, b = 3, and c = 4.
(a + b + c)2

Answers

(2+3+4)2
9 x 2= 18
…..

Answer:

81

Step-by-step explanation:

2. substitute values

(2+3+4)²

2. solve brackets first

(9)²

3. evaluate

9² = 81

1. the measures of the angle of a quadrilateral are consecutive multiples of 4 find the measure of the angles
2.the angles of a quadrilateral are 65°, 95° and 110° what is the measure of another angle

Answers

Answer:

Step-by-step explanation:

On the Ford Aquatics swim team, 11 year olds and 12 year olds swim together. The Gold team has a 2:3 ratio of 11 year olds to 12 year olds. The Silver team has a 3:8 ratio of 11 year olds to the total swimmers. If the two teams have the same number of 11 year olds what could the size of the teams be?

Answers

Answer:

The Gold team has 8 swimmers and the silver team also has 8 swimmers.

Step-by-step explanation:

Let T be the total number of swimmers on the Gold team. Since, the Gold team has a 2:3 ratio of 11 year olds to 12 year olds, the number of 11 year old is T' = 2/(2 + 3) × T = 2T/5 and the number of 12 year olds is T" = 3/(2 + 3) × T = 3T/5.

The silver team has a 3:8 ratio of 11 year olds to the total swimmers. Let T₁ be the number of 11 year old swimmers in the silver team. So, from the ratio 3:8, the number of 11 year old swimmers in the silver team is 3 and the total number of swimmers in the silver team is 8.

Since the number of 11 year old swimmers in both teams are the same, then

2T/5 = 3

T = 3 × 5 ÷ 2

T = 15/2

T = 7.5

T≅ 8

So, the Gold team also has 8 swimmers.

So, the Gold team has 8 swimmers and the silver team also has 8 swimmers.

A bee colony produced 179 pounds of honey, but bears ate 0.24 pounds of it. How much honey remains?

Answers

Answer:

178.76

Step-by-step explanation:

Subtract .24 from 179

Find the value of x so the function has the given value.
h(x) = 4x + 2; h(x) = 10

Answers

Answer:

x=2

Step-by-step explanation:

10=4x+2

8=4x

2=x

X=2

Step by step

10=4x+2
8=4x
2=x

If the probability of writing the correct answer to a question on an exam is 2/5, what are the odds against
writing the correct answer?

Answers

shiii ion kno i think posssibly a 6

If f(x)=x²+3x+5, what is f(3+h)

Answers

Answer:   [tex]D. h^{2}+9h+23[/tex]

Step-by-step explanation:

[tex]f(x)=x^{2} +3x+5[/tex]

1. Input (3+h) instead of x.

[tex]f(3+h)=(3+h)^{2} +3(3+h)+5\\[/tex]

2. Get rid of parentheses.

[tex]f(3+h)=9+6h+h^{2} +9+3h+5\\[/tex]

[tex]f(3+h)=h^{2}+9h+23[/tex]

Therefore, D is the answer.

Evaluate



Also I’m giving u 20 points :)

Answers

Answer:

If p = -3 and q = 7 your answer would be 30

Step-by-step explanation:

please help with this ​

Answers

Answer:

c

Step-by-step explanation:

y co-ordinate is 2 when finding y intercept x has to be 0

Remember to multiply or divide both terms by the same value to find equivalent ratios

FIND TWO RATIOS EQUIVALENT TO THE GIVEN RATIO


QUESTION

1. 5/12 2. 14:32

3. 3to4 4. 7/8

Answers

9514 1404 393

Answer:

10/24, 25/607:16, 35:806 to 8, 15 to 2014/16, 35/40

Step-by-step explanation:

Just as the directions tell you, multiply both parts of the ratio by the same number. Here, the equivalents we used are 1, 2, and 5 times the numbers in the reduced ratio. Your multipliers can be anything, and don't need to be positive or rational or numbers.

__

1. 5/12 = (5·2)/(12·2) = 10/24

  5/12 = (5·5)/(12·5) = 25/60

__

2. 14:32 = (7·2):(16·2) = 7:16

  7:16 = (7·5):(16·5) = 35:80

__

3. 3 to 4 = (3·2) to (4·2) = 6 to 8

  3 to 4 = (3·5) to (4·5) = 15 to 20

__

4. 7/8 = (7·2)/(8·2) = 14/16

  7/8 = (7·5)/(8·5) = 35/40

  7/8 = (7·m)/(8·m) = (7m)/(8m) . . . m ≠ 0

Hello people ~
plot the graph of y=cos x​

Answers

Step-by-step explanation:

[tex]\displaystyle \boxed {y = sin\:(x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 1[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a wourd problem to wourk with, you MUST use the above formula for calculating the period. Onse you do that, the rest should be easy. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Properties of y = cos(x)

The cosine wave is a sinusoidal function (sine and cosine waves are the same except for a horizontal shift).

It is a continuous function and so its domain is (-∞, ∞)

The center line is y = 0

The Amplitude (the height from the center line to the peak) is 1, and so its range is -1 ≤ x ≤ 1

The y-intercept is at (0, 1)

Its period (length of one wave) is 2π (360°)

Solve for Y
4x – 5y = -20

Answers

Answer:

y=4

Step-by-step explanation:

I'm a little rusty at this but y=4 should be the correct answer.

Hope this helps!

The answer to you’re question is y = 4 + 4x/5

7)
Ella started exercising. Which division expression means she lost 5 pounds every 2 weeks?
5
A)
B)
0
D)
JU

Answers

Answer:

-5/2

Step-by-step explanation:

A population has a mean 81 and a standard deviation of 29. Find the mean and standard deviation of a sampling distribution of sample means with sample size n =265

Answers

Answer:

1.7815

Step-by-step explanation:

what is 2+9 45 times over and over again

Answers

Answer:

495

Step-by-step explanation:

9 + 2 = 11

11 x 45 = 495

you'd get 495 if you did 2+9 45 times.

Please help and show work

Answers

Step-by-step explanation:

1) y=1

Obviously this is a line with a constant ordinate and parallel to the x-axis, it admits no x-intercepts since it cannot intersect the x-axis

The y-intercept is the point of coordinates (0,1)

Find the derivative of the function and solve it equal to zero to find the coordinates of the vertex

y=1

y'=1 =>0=1 Impossible

So it admits no vertex.

2)

x=3

Similarly this is a line with a constant abscissa and parallel to the y-axis.It does not have a y-intercept since it cannot intersect the y-axis.

The x intercept is the point of coordinates (1,0)

This function admits no derivative since it is a function independent of the x value (constant x)

Therefore it has no intercepts.

3)

f(x)=3x+2

Solve for f(0) to find the y-intercept

f(0)=3(0)+2=2

X-intercept (2,0)

Solve f(x)=0 to find the x-intercept(s)

3x+2=0

3x=-2

x=-2/3

Y-intercept (-2/3,0)

Find the derivative and solve it equal zero to find the coordinates of the vertex:

f(x)=3x+2

f'(x)=3

3=0 impossible, so this function admits no vertex.

4)

f(x)=x²+3x+4

to find the y-intercept solve x=0 or in other words, find f(0)

f(0)=0²+3(0)+4=4

y-intercept is (0,4)

to find the x-intercept(s) solve f(x)=0

x²+3x+4=0

find the roots to this equation

∆=b²-4ac

∆=3²-4(1)(4)

∆=9-16

∆=-7<0

which implies this function admits no x-intercepts

5)

f(x)=-x²+4x+16

f(0)=-(0)²+4(0)+16

f(0)=16

Y-intercept (0,16)

f(x)=0

-x²+4x+16=0

""Solve using the quadratic formula'"'

You get the roots:

x¹=-2.47 x²=6.47

x-intercepts (-2.47,0) (6.47,0)

f'(x)=-2x+4

f'(x)=0

-2x+4=0

-2x=-4

x=2

Find f(2)=-(2)²+4(2)+16=-4+8+16=20

Vertex (2,20)

6)

f(x)=-2x²+x+2

f(0)=-2(0)²+0+2=2

Y-intercept (0,2)

f(x)=0

-2x²+x+2=0 'use the quadratic formula'

x¹=-0.78 x²=1.78

x-intercepts (-0.78,0) (1.78,0)

f'(x)=-4x+1

f'(x)=0

-4x+1=0

-4x=-1

x=1/4=0.25

f(0.25)=-2(0.25)²+0.25+2=2.125

Vertex (0.25,2.125)

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