Solve the equation below for y.
6x – 3y = 36
A. y = 2x - 12
B. y = 12 - 2x
c. y- 5x+6
D. y-6-5 X​

Answer:

1/-30

Step-by-step explanation:

5/6/-5/6

= 5/6 x 6/-5

= 5/30 x 6/-30

= 30/-900

= 1/-30

Answer:

The simplest form of the given expression is 7x³ + 5x² + x + 2

Step-by-step explanation:

(4x³ + 6x - 7) + (3x³ - 5x² - 5x + 9)

Group like terms together.

(4x³ + 3x³) + 5x² + (6x - 5x) + (-7 + 9)

Combine like terms.

7x³ + 5x² + x + 2

So, this will be your simplest form of the given equation.

Answer:

7x³ + 5x² + x + 2

Step-by-step explanation:

Answer:

-577

Step-by-step explanation:

−4 − 6 + 2 + 5 + 8 − 3 (8 − 6 − 3) − (−6 − 2 − 5) (9 − 4)(−6 − 3)

Answer:

z = 27

Step-by-step explanation:

Given that z² is proportional to x³ then the equation relating them is

z² = kx³ ← k is the constant of proportion

To find k use the condition z = 8 when x = 4, thus

8² = k × 4³

64 = 64k ( divide both sides by 64 )

k = 1

z² = x³ ← equation of proportion

When x = 9, then

z² = 9³ = 729 ( take the square root of both sides )

z = [tex]\sqrt{729}[/tex] = 27

Step-by-step explanation:

Xj + Xk/2 = Xm

7 + Xk/2 = 1

to get rid of the bracket, multiply all two sides by the denominator.

2(7 + Xk/2) = 1(2)

7 + Xk = 2

Xk = 2 - 7

Xk = -5

Yj + Yk/2 = Ym

2 + Yk/2 = -2

to get rid of the bracket, multiply all two sides by the denominator.

2(2 + Yk/2) = -2(2)

2 + Yk = -4

Yk = -4 - 2

Yk = -6

Therefore the coordinates of point K is (-5,-6)

Answer:

  15 kg

Step-by-step explanation:

We can multiply the given ratio units by 6 to make them be integers:

  (1/2) : (1/3) = 3 : 2

Then we can see that the second man has 2/3 the weight of the first man.

  (2/3)(22.5 kg) = 15 kg

The second person weighs 15 kg.

Answer:

Distributive property (Reversed)

Step-by-step explanation:

With the distributive property, it is possible to simplify expressions that consist of an expression term such as (a + b) being multiplied by one singular term such as c given as follows

c ×(a + b) = c·a + c·b

Factoring, which is the reverse  use of the distributive property enables the difference or the sum of two products, each having a common factor to be the presented as the difference  or the sum of two numbers multiplied by the common factor as follows;

2·x - 2·y = 2·(x - y).

Answer:

x = - 7

Step-by-step explanation:

8x - 2 = -9 + 7x   (add 2 to both sides)

8x - 2 + 2 = -9 + 7x + 2

8x = 7x - 7           (subtract 7x from  both sides)

8x - 7x = 7x - 7 - 7x

x = - 7

Answer:x=-7

Step-by-step explanation:

Regroup terms.

8x-2=7x-98x−2=7x−9

2 Subtract 7x7x from both sides.

8x-2-7x=-98x−2−7x=−9

3 Simplify  8x-2-7x8x−2−7x  to  x-2x−2.

x-2=-9x−2=−9

4 Add 22 to both sides.

x=-9+2x=−9+2

5 Simplify  -9+2−9+2  to  -7−7.

x=-7x=−7

Answer:

ummm

Step-by-step explanation:

look it up

I'm helping you look it up right now

il comment when I find ... ok?

Answer:

- 7 - i

Step-by-step explanation:

Given

(- 10 - 2i) + (3 + i) ← remove parenthesis

= - 10 - 2i + 3 + i ← collect like terms

= - 7 - i

Statement 1: [tex]\angle 2[/tex] and [tex]\angle 4[/tex] are vertical angles

Reason 1: Given

We basically just restate the given information word for word. This is true of any two column proof.

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

Statement 2:  [tex]m \angle 2 + m \angle 3 = 180[/tex]

Reason 2: [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are a linear pair

The term "linear pair" means the angles are adjacent and supplementary (they form a straight line), so this is why the two angles add to 180.

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

Statement 3: [tex]m \angle 3 + m \angle 4 = 180[/tex]

Reason 3: [tex]\angle 3[/tex] and [tex]\angle 4[/tex] are a linear pair

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

Statement 4: [tex]m \angle 2 + m \angle 3 = m \angle 3 + m \angle 4[/tex]

Reason 4: Substitution

Each of the equations formed in statements 2 and 3 above have 180 on the right side, so the left hand sides must be the same

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

Statement 5: [tex]m \angle 2 = m \angle 4[/tex]

Reason 5: Subtraction property of equality

We subtracted the quantity [tex]m \angle 3[/tex] from both sides (they go away)

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

Statement 6: [tex]\angle 2 \cong \angle 4[/tex]

Reason 6: Definition of congruence

If two items are congruent, then they have the same measure. In other words, they are the same.

The proof of  [tex]\angle 2 \ and \ \angle4[/tex] are vertical angles is explained below.

Given, [tex]\angle 2 \ and \ \angle4[/tex] are vertical angles as shown in fig.

We know that, Vertical angles are formed when two straight lines intersect at a point.Vertical angles are two angles which are vertically opposite and have the same measure. So, the two angles are to be congruent.

We have to prove that angle 2 and angle 4 congruent.

Given [tex]\angle 2 \ and\ \angle 3[/tex] makes linear pair so,  

[tex]\angle 2+\angle 3= 180[/tex]

[tex]\angle 3 =180-\angle 2[/tex]..........(1)

Again [tex]\angle 3 \ and \ \angle 4[/tex] makes linear pair so,

[tex]\angle 3+\angle 4= 180[/tex]

[tex]\angle 3 =180-\angle 4[/tex].......(2)

From (1) and (2) we get,

[tex]180-\angle 2=180-\angle 4[/tex]

Subtracting 180 from both the sides we get,

[tex]-\angle 2=-\angle 4[/tex]

Or, [tex]\angle 2=\angle 4[/tex]

Hence angle 2 and angle 4 are congruent.

For more details follow the link:

https://brainly.com/question/68367

Answer:

125

×

250

_____

000

6250

25000

answer 31250

125

⋅

250

is

31250

Answer:$31250

Step-by-step explanation: 125x250=000+6250+25000=$31250

Answer:

RHS=tanA/2

Step-by-step explanation:

LHS=1+sinA-cosA/1+sinA+cosA

=(1-cosA)+sinA/(1+cos A)+sinA

=2sin^2A/2+2sinA/2*cosA/2

_____________________

2cos^2A/2+22sinA/2*cosA/2

=2sinA/2(sinA/2+cosA/2)

___________________

2cosA/2(sinA/2+cosA/2)

sinA/2

=_____

cosA/2

= tanA/2 proved.

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle Identities:

sin 2A = 2cos A · sin A

cos 2A = 2 cos²A - 1

Use the following Quotient Identity: tan A = (sin A)/(cos A)

Use the following Pythagorean Identity:

cos²A + sin²A = 1   -->   sin²A = 1 - cos²A

Proof LHS → RHS

Given:                            [tex]\dfrac{1+sin\theta - cos \theta}{1+sin \theta +cos \theta}[/tex]

Let Ф = 2A:                    [tex]\dfrac{1+sin2A - cos 2A}{1+sin2A +cos2A}[/tex]

Un-factor:                       [tex]\dfrac{\bigg(\dfrac{1- cos^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+sin\ 2A +cos\ 2A}[/tex]

Pythagorean Identity:   [tex]\dfrac{\bigg(\dfrac{sin^2\ 2A}{1+cos\ 2A}\bigg)+sin\ 2A }{1+cos\ 2A +sin\ 2A}[/tex]

Simplify:                          [tex]\dfrac{sin\ 2A}{1+cos\ 2A}[/tex]

Double Angle Identity:   [tex]\dfrac{2sin\ A\cdot cos\ A}{1+(2cos^2 A-1)}[/tex]

Simplify:                          [tex]\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}[/tex]

                                   [tex]=\dfrac{2sin\ A\cdot cos\ A}{2cos^2\ A}[/tex]

                                   [tex]=\dfrac{sin\ A}{cos\ A}[/tex]

Quotient Identity:       tan A

[tex]\text{Substitute} A = \dfrac{\theta}{2}}:\qquad tan\dfrac{\theta}{2}[/tex]

[tex]tan\dfrac{\theta}{2} = tan\dfrac{\theta}{2}\quad \checkmark[/tex]

Answer:

Perimeter = 2 x length + 2 x width

Width = x

Length = x + 71

234 = 2*(x + 71) + 2*(x)

234 = 2x + 142 + 2x

234 = 4x + 142

4x = 234 - 142

4x = 92

x = 23

Width = 23 inches

Length = 94 inches

Step-by-step explanation:

The dimensions of the rectangular carpet are 100 and 17 inches.

Given the following data:

Translating the word problem into an algebraic equation, we have;

[tex]L = W + 83[/tex]

To find the dimensions of the rectangular carpet;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]Perimeter = 2(L+W)[/tex]

Substituting the values into the formula, we have;

[tex]234 = 2(W + 83 + W)[/tex]

[tex]234 = 2(2W + 83)\\\\234 = 4W + 166\\\\4W = 234 - 166\\\\4W = 68\\\\W = \frac{68}{4}[/tex]

Width, W = 17 inches

Next, we would find the value of L;

[tex]L = W + 83[/tex]

Substituting the value of W, we have;

[tex]L = 17 + 83[/tex]

L = 100 inches.

Therefore, the dimensions of the rectangular carpet are 100 and 17 inches.

Find more information: brainly.com/question/897975

Answer:

13 m

Step-by-step explanation:

The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.

For the smaller triangle, the rise is 2 since this is the length of the vertical component. The horizontal component is 3, meaning the run is 3

Slope = rise/run

Slope = 2/3

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

The larger triangle leads to the same slope because

slope = rise/run

slope = 4/6

slope = (2*2)/(2*3)

slope = 2/3

Because we get the same slope value, this confirms that both triangles have their hypotenuse on the same straight line.

The two triangles are similar. The larger triangle's sides are twice as long as its smaller counterpart.

Answer:

[tex]\huge \boxed{25>23} \\ \\ \huge \boxed{25 \geq 23}[/tex]

Step-by-step explanation:

25 is greater than 23.

greater than ⇒ [tex]>[/tex]

25 is greater than or equal to 23.

greater than or equal to ⇒ [tex]\geq[/tex]

Answer:

1) [tex]25 > 23[/tex]

2) [tex]25 \geq 23[/tex]

Step-by-step explanation:

25 is greater than 23

=> [tex]25 > 23[/tex]

25 is also almost equal to 23

=> [tex]25 \geq 23[/tex]

Answer:

His average rate of speed for the entire trip is 10 miles/hour.

Step-by-step explanation:

We are given that John went on a bike ride to the store 4 miles away. If it took John 3/10 of an hour to get there and 1/2 of an hour to get back.

And we have to find his average rate of speed (miles per hour) for the entire trip.

As we know that the Distance-Speed-Time formula is given by;

                    [tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]  

Here, the distance for the entire trip = 8 miles (4 miles for reaching store and 4 miles for returning back)

The time taken for the entire trip = [tex](\frac{3}{10} )[/tex] of an hour to reach the store and [tex](\frac{1}{2})[/tex] an hour to get back.    

So, the average rate of speed for the entire trip = [tex]\frac{\text{Total Distance}}{\text{Total Time}}[/tex]

                             =  [tex]\frac{8}{\frac{3}{10}+\frac{1}{2} }[/tex]

                             =  [tex]\frac{8}{\frac{8}{10} }[/tex]  =  10 miles per hour

Hence, his average rate of speed for the entire trip is 10 miles/hour.

Answer:

we

Step-by-step explanation:

ee

Answer:

B

Step-by-step explanation:

The clock at six o clock form a line:

         12

           |

9         |           3

           |

          6

Given that :-

To Find :-

Solution :-

→ x = 4y + 3 equation 1st

→ y = -2x -3 equation 2nd .

Now putting the value of x from first equation to second equation.

→ y = -2(4y +3 ) -3

→ y = -8y - 6 - 3

→ y + 8y = -9

→ 9y = -9

→ y = -1

Now putting the value of y in equation first .

→ x = 4(-1) + 3

→ x = -4 + 3

→ x = -1

Now multiply and X and y.

→ x.y = -1(-1)

→ x.y = 1 .

[tex]\huge {\bold {\star {\fcolorbox {black} {yellow} {Answer}}}} [/tex]

Putting the value of x in ii, we get ;

➝ y = - 2(4y+3) - 3

➝ y = - 8y - 6 - 3

➝ y = - 8y - 9

➝ y + 8y = - 9

➝ 9y = - 9

∴ y = - 1

Putting the value of y in i, we get ;

➝ x = 4y + 3

➝ x = 4(-1) + 3

➝ x = - 4 + 3

∴ x = - 1

➛ xy = (- 1)(-1)

⛬ xy = 1

Answer:

x = -6 y = 3

Step-by-step explanation:

Adding the two equations and you get, -3x-3y + 3x+8y= 6+9

=> 5y = 15

=> y = 3

Plug y in each equation

-3x -3(3) = 9

-3x -9 = 9

-3x = 18

x = -6

3x + 8(3) = 6

3x +24 = 6

3x = -18

x = -6

Hi there! :)

Answer:

[tex]\huge\boxed{L = 9 \text { units}}[/tex]

Given:

Perimeter = 28

Let the breadth = x. The length is 4 units greater, so we can represent this as (x + 4).

Set up an expression. Remember that the formula for the perimeter of a rectangle is:

P = 2(l) + 2(w)

Substitute:

28 = 2(x) + 2(x+ 4)

Distribute:

28 = 2x + 2x + 8

Combine like terms and simplify:

28 = 4x + 8

20 = 4x

x = 5.

The length of the breadth is 5 units. Substitute in 5 to solve for the length:

(5) + 4 = 9 units.

The length of the rectangle is 9 units.

Answer:

The y-intercept is –2.

The slope is Negative three-fifths

Step-by-step explanation:

A linear function is a function whose graph is a straight line. A linear function can be represented as:

f(x) = y = a + bx

where y is the dependent variable and x is the independent variable. The equation of a linear function in slope intercept form is given as:

y = mx + c

Where m is the slope and c is the y intercept.

Given that:

[tex]y=-\frac{3}{5}x-2[/tex], and comparing with y = mx + c:

The slope (m) = [tex]-\frac{3}{5}[/tex]

The y intercept (c) = -2

Answer:

The y-intercept is –2.

The slope is Negative three-fifths

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basic Charge = $ 65

Rate per hour = $ 28

Number of hours = H

Rate for H hours = 28 *H = 28H

Equation:

65 + 28H ≤ 250

Anan consideration requires:

Requirements of the plumber

Thus, to determine the number of how many hours Anan can afford for his total amount of $250, we have the following:

The initial fee + hourly rate ≤ 250  

∴

   $65 + $28 H ≤ 250

Therefore, we can conclude that the perfect inequality that describes Anan Scenario is:    $65 + $28 H ≤ 250

Learn more about inequalities here:

https://brainly.com/question/20383699?referrer=searchResults

Answer:

The vertex is ( -4,1)

Step-by-step explanation:

The equation for a parabola can be written as

y = a( x-h)^2 +k  where ( h,k) is the vertex

y = 2 (x + 4)² + 1

Rewriting

y = 2 (x -  -4)² + 1

The vertex is ( -4,1)

Answer:

the vertex is located at (-4, 1)

Step-by-step explanation:

The vertex equation of a vertical parabola is

y = a(x - h)^2 + k

where (h, k) is the vertex.  

Comparing this to the given

y = 2(x + 4)² + 1, we see that the vertex is located at (-4, 1) and that the graph is stretched vertically by a factor of 2.

Answer:

x          y

10   →   6

4    →    0

8    →    4

Step-by-step explanation:

Using the given rule, plug in any known values:

[tex]y=x-4\\\\6=x-4[/tex]

Solve for x. Add 4 to both sides of the equation to isolate the variable:

[tex]6+4=x-4+4\\\\x=10[/tex]

Repeat:

[tex]y=x-4\\\\0=x-4\\\\0+4=x-4+4\\\\x=4[/tex]

[tex]y=x-4\\\\4=x-4\\\\4+4=x-4+4\\\\x=8[/tex]

:Done

The solution is 2 roots

The number of roots the equation will have if the value of the discriminant is 73 will be 2 roots

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the quadratic equation be A

where A = ax² + bx + c=0

Let the discriminant of the equation be D

Now , the value of D = 73

To calculate the number of roots a quadratic equation A

We need to compute the discriminant (b² - 4ac).

If the discriminant is less than 0, then the quadratic has no real roots.

If the discriminant is equal to zero then the quadratic has equal roots.

If the discriminant is more than zero then it has 2 distinct roots.

So , the value of D > 0

Therefore , the equation has 2 roots

Hence , the number of roots of the quadratic equation is 2 roots

To learn more about quadratic equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

Step-by-step explanation:

Amount of Jeff tuition per year = $9,000

If Jeff has a scholarship that pays 70% of his tuition, the amount the scholarship will pat Jeff = 70% of his yearly tuition fee.

Scholarship amount = 70/100 * $9,000

Scholarship amount  = 70*90

Scholarship amount  = $6,300

Hence the scholarship will pay Jeff $6,300

If the amount saved by Jeff is $3,000

Total amount that Jeff has = Scholarship amount + Amount saved

Total amount that Jeff has = $6,300 + $3000 = $9300

Since the total amount that Jeff has is more than the yearly tuition fee, this shows that he has enough to pay for the first year's tuition

Answer:

Step-by-step explanation:

Slope = 0

The line is parallel to x-axis

Equation: y = 1

y -1 = 0

Answer:

y - 1 = 0

Step-by-step explanation:

As we move from the first point to the second, x increases by 4 (this is the 'run') but y does not change (that is, the 'rise' is zero).  Thus, the slope of the line is 0, and the equation of the line is y = 1, or (equivalently) y - 1 = 0.