2x-3y=6 and x+3y=3



help me I cannot understand it please in substitution method ​

Answer:

[tex](0,\, -6)[/tex].

Step-by-step explanation:

On a cartesian plane, the [tex]y[/tex]-intercept of a function is the point where the graph of that function intersects with the [tex]y\![/tex]-axis.

The [tex]y[/tex]-axis of a cartesian plane is the same as the equation [tex]x = 0[/tex] (that is, the collection of all points with an [tex]x[/tex]-coordinate of [tex]0[/tex].)

Construct a system of two equations, with one equation representing [tex]y[/tex]-axis and [tex]y = f(x)[/tex] to represent the graph of this function:

[tex]\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}[/tex].

Solve this system for [tex]x[/tex] and for [tex]y[/tex]. If a solution exists, then the [tex]y\![/tex]-axis and the graph of [tex]y = f(x)[/tex] would indeed intersect. The point [tex](x,\, y)[/tex] would be the intersection of the [tex]y\!\![/tex]-axis and the graph of [tex]y = f(x)\![/tex].

Substitute the second equation of the system into the first.

[tex]\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}[/tex].

Hence, the intersection of the [tex]y[/tex]-axis and the graph of [tex]y = f(x)[/tex] would be [tex](0,\, -6)[/tex]. By definition, this point would be the [tex]y\![/tex]-intercept of [tex]y = f(x)\![/tex].

Answer: (0, -6)

Step-by-step explanation:

got it right on my test

Answer:

Its C

Step-by-step explanation:

Substitute in 3 for x and check. The equation doesn't work.

Substitute 2 in for y. The equation still doesn't work.

So its right.

lol are u using edguenity

rip

Using the concepts of relative minimum and relative maximum, it is found that a relative minimum is most likely to occur between 1 and 3.

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

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

A similar problem is given at https://brainly.com/question/9839310

Answer:

x | -2 | -1 | 0 | 1 | 2 | 3

g(x) |-14| -2 | 0 |-4| -6| 2

Between which two values would a relative minimum most likely occur?

-2 and 0

-1 and 1

0 and 2

1 and 3

the correct answer is 1 and 3

Answer:

Yes

Step-by-step explanation:

Statement 1: If JK and LM bisect each other then, they divide each other in 2 equal parts.

So,

JP = PK [Because of statement 1]

MP = PL [Because of statement 1]

∠JPM = ∠LPK [Because they are vertically opposite angles]

So, ΔJPM ≅ to ΔKPL [By SAS congruence criteria of triangle]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Addition, subtraction, and multiplication by a scalar all work on a term-by-term basis. For example the upper left term of A+2B is (2) +2[2] = 6, where (2) is the upper left term of A, and [2] is the upper left term of B.

It is convenient to let your graphing calculator or a spreadsheet do the repetitive arithmetic for you. Attached is the result of using the free Go.ogle Sheets spreadsheet.

Answer:

If the function is the Area, then Area = length*width = x*(12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.

0 < x<6, If x is 7 then width would be 5, but x must be shorter

Step-by-step explanation:

Answer:

The correct choice is option c. (p/2) - 17

Answer:

A

Step-by-step explanation:

-4.5+4.4= -0.1

-0.1 + x = 0

So the answer needs to be equal to 0.1.

-6.7+6.8= 0.1

-4.5+4.4 -6.7+6.8 =0

The quotient of 14.127 divided by 5.1 is 2.77

14.127 ÷ 5.1

To make the calculation easier without the use of a calculator :

Multiply both sides such that bith the dividend and divisor are integer values :

Multiply both by 1000

14.127 × 1000 = 14127

14127 51 × 1000 = 5100

Hence,

14127 ÷ 5100 = 14127 / 5100 = 2.77

Hence, 14.127 ÷ 5.1 = 2.77

Learn more : https://brainly.com/question/21416852

Answer:

none

Step-by-step explanation:

38×2=76

43×2=86

45×2=90

Answer:

180 degrees

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

Answer:

A. m-6/24

Step-by-step explanation:

This is the required expression because,

1. Quotient of 24 and 6 less than m.

2. It means quotient of 24 and 6 subtracted from m.

3. Representing it mathematically, m-6/24.

The mathematical expression for "the quotient of 24 and 6 less than m" is m - 6/24 option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression in the word is: "the quotient of 24 and 6 less than m"

Here m is the number.

The quotient of 24 and 6 is 6/24

Linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

The quotient of 24 and 6 is less than m which means 6/24 should be subtracted from m.

= m - 6/24

Thus, the mathematical expression for "the quotient of 24 and 6 less than m" is m - 6/24 option (A) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Step-by-step explanation:

since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10

you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1

you then can subtract 1 from 10 leaving you with 9

and at the LHS we have 3x

we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then X = 3

Answer:

188.4 units²

Step-by-step explanation:

Hi there!

Part A

Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height

⇒ r = 6

Replace r with 6

[tex]3.14(6s+6^2)[/tex]

⇒ s = 4

Replace s with 4

[tex]3.14(6*4+6^2)[/tex]

Part B

Evaluate the expression found in Part A:

[tex]3.14(6*4+6^2)[/tex]

Find 6²:

[tex]=3.14(6*4+36)[/tex]

Find 6*4:

[tex]=3.14(24+36)[/tex]

Find 24+36:

[tex]=3.14(60)\\=188.4[/tex]

Therefore, the surface area of the cone is 188.4 units².

I hope this helps!

Answer:  Equations (b) and (e) do not have solutions

Step-by-step explanation:  b)  The x cancels out (-10x + 35) = -10x + 318;  35 = 318???? NO.  e)  3(x + 2) + 1 = x + 2(4 + x)​;  3x + 7 = 3x + 8.  The x cancels out again.

The other s can be solved for x.

Hi! I'm happy to help!

To solve this, we need to simplify all of the equations. There are 3 ways equations like this can go, infinitely many solutions, 1 solution, or no solution. Infinitely many is something like 6=6, that could mean infinite solutions because 6 always equal 6, and would apply in infinitely many ways. (in the equation) One solution refers to something like x=6. This tells your exactly what x is, and that is your only solution. (for the equation) And no solution is something like 5=6, 5 will never equal 6, so that is no solution. (to the equation)

Now, let's start out with our first equation. To find if our equations have solutions or not, we need to simplify them. We do this by singling out x to see what the solution is (if there is one).

x-9=2(x-3)+12

We can multiply 2, by x and -3 inside of the parenthesis, to simplify:

x-9=2x-6+12

Since we have at least one x on both sides, we can subtract it to isolate it:

x-9=2x-6+12

-x    -x

-9=x-6+12

Combine -6 and twelve:

-9=x-6+12

-9=x+6

Now, we subtract 6 to fully isolate x:

-9=x+6

-6   -6

-15=x

We see we have 1 solution, so you should not pick option 1.

Second equation:

5(-2x + 7) + 3 = -10x + 38

We should first multiply the parenthesis:

-10x+35+3=-10x+38

Since we want to simplify, let's add 10x on both sides

-10x+35+3=-10x+38

+10            +10x

35+3=38

Add 35 and 3:

38=38

Since 38 will always equal 38, there are infinite solutions, and you should not pick option 2.

Third equation:

(6x - 4) = 3(x - 2)

Since there is nothing outside of the parenthesis (right side), we don't need them:

6x-4=3(x-2)

From here, multiply the parenthesis:

6x-4=3x-6

Subtract 3x from both sides:

6x-4=3x-6

-3x   -3x

3x-4=-6

Add 4 to both sides to isolate x:

3x=-2

Divide both sides by 3, to fully isolate x:

x=-[tex]\frac{2}{3}[/tex]

Since there is only 1 solution, you should not pick option 3.

Fourth equation: (not sure if the 100 is supposed to be there)

0.01x + 0.001 = (x + 10)

First, let's subtract 0.01x from both sides:

0.001=9.99x+10

Then, we subtract 10 from both sides to start isolating x:

-9.999=9.99x

Then, we divide both sides by 9.99:

        ______

1.000900900=x

Kind of a weird number, but regardless, you should not pick option 4, because it has 1 solution.

Fifth equation:

3(x + 2) + 1 = x + 2(4 + x)​

First, let's multiply the parenthesis on both sides:

3x+6+1=x+8+2x

Combine like terms:

3x+7=3x+8

Subtract 3x from both sides:

7=8

7 will never equal 8, there will be no solution, and you should pick option 5.

You should pick option e, because it has no solution.

I hope this was helpful, keep learning! :D

Answer:

its either the 3rd one or the 5th one

sorry hope this helps a little bit

Step-by-step explanation:

Answer:

49½+5½

Step-by-step explanation:

Because here, we have 7√5, which we can place the two numbers in index form, 7 is equal to√49 which is 49½ and √5 is equal to 5½. So the answer is 49½•5½

Answer:

135, 9, 15

Step-by-step explanation:

Beads per necklace=(Total beads used)/(Total number of necklace made) = 135/9 = 15

If we consider the ordered pair (0,0) then only the graph still represents a function.

In a function, there can not be two different values of x corresponding to the same value of y.

Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).

If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).

The values of x for a single value of y.

i.e. y = 1.

So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).

To learn more about the graph

https://brainly.com/question/14534966

#SPJ2

Answer:

terminating decimals has an end digit and has a finite number of digits.

Non-terminating has no end term and has an infinite number of terms.

Answer:

16/25

Step-by-step explanation:

keep the first fraction the same, make the second fraction 8/5, and then multiply the two fractions across.

Answer:

It means that it is approximately equal to or about/around.

9514 1404 393

Answer:

  32 15/16 ft^2

Step-by-step explanation:

There are 144 square inches in a square foot, so the number of square feet is ...

  (4743 in²) × (1 ft²)/(144 in²) = (4743/144) ft² = 32 15/16 ft² = 32.9375 ft²

Answer:

U forgot to add zero while dividing

Answer:

1

Step-by-step explanation:

2x + (14 • 2) = 30

2x + 28 = 30

2x = 30 - 28

2x = 2

x = 2/2

x = 1

Hope this helps you. Do mark me as brainliest.

Answer:

1770000, 1800000

Step-by-step explanation:

1770000

Answer:

1,770,000 & 1,780,000

Step-by-step explanation:

Rounding, I suppose

Answer:

y=-6x-2

Step-by-step explanation:

x-6y=12

y=x/6-2

y=mx+c

since theyre perpendicular, 1/6 * m = - 1

m = -6

y=-6x+c

sub x=-1,y=4

4=-6(-1)+c

c = -2

y=-6x-2

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

Step-by-step explanation:

7:3

4:x

-cross multiply

7x = 12

x = 12÷7

x = 1.7

Answer:

Step-by-step explanation:

[tex]\begin{array}{c|c|c|c|c}p&q&r&p \vee q&(p \vee q)\ =>\ r\\---&---&---&---&------\\T&T&T&T&T\\T&T&F&T&F\\T&F&T&T&T\\T&F&F&T&F\\F&T&T&T&T\\F&T&F&T&F\\F&F&T&F&T\\F&F&F&F&T\\---&---&---&---&------\\\end{array}[/tex]