solve (x – 3)2 = 81 quadratic equation​

Answer:

x= 1

y= -2

Step-by-step explanation:

1. y+3x=1 subtract 3x from both side to get y= 1-3x

2. Put the new found y value in the equation

3x-4(1-3x)=11

3. Distribute the 4

3x-4+12x=11

4. Add 4 to both sides

3x+12x=15

5. Add the x's

15x=15

6. Solve for x

x=1

7. Plug in the x in the y equation y= 1-3x

y=1-3(1)

8. Solve for y

y= -2

The solution to the system of equations is x = 1 and y = -2.

To solve the system of equations using substitution, we need to solve one of the equations for one variable in terms of the other variable and then substitute that expression into the other equation. Let's solve the second equation for y and then substitute it into the first equation:

Given system of equations:

3x - 4y = 11

y + 3x = 1

Step 1: Solve the second equation for y:

y = 1 - 3x

Step 2: Substitute the value of y from equation (2) into equation (1):

3x - 4(1 - 3x) = 11

Now, let's solve for x:

3x - 4 + 12x = 11

Combine like terms:

15x - 4 = 11

Step 3: Solve for x:

15x = 11 + 4

15x = 15

x = 15 / 15

x = 1

Step 4: Now that we have the value of x, we can find y using equation (2):

y = 1 - 3(1)

y = 1 - 3

y = -2

So, the solution to the system of equations is x = 1 and y = -2.

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Answer:

thats not a proper equation-

Step-by-step explanation:

Answer: p < 5

Step-by-step explanation:

You subtract 5 from each side and end up with p < 5

Answer:

600

Step-by-step explanation:

Multiply both numbers by 12.

240

360

Answer:

me depending on what kind of math it is

Step-by-step explanation:

Answer:

I believe it to be C

Step-by-step explanation:

Answer:

12: 32

18: 48

27: 72

Answer:

12:24

18:48

27:81

Step-by-step explanation:

12 pound is going to be 8 times 3 which is 24

18 pounds is going to be 8 times 6 which is 48

27 pounds is goings to be 8 times 9 which is 81

Answer:

Here u go hoped it at least helped u !!!

Step-by-step explanation:

Answer:

106.480

I hope this helps!

Answer:

14 cups

Step-by-step explanation:

Step 1:

4/24 = x/84             Equation

Step 2:

24x = 336       Multiply

Step 3:

x = 336 ÷ 24       Divide

Answer:

x = 14

Hope This Helps :)

its c

Step-by-step explanation:

Answer:

7x7

Step-by-step explanation:

its base (length) and width is 7.

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads  = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

∴

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Answer:

x = 12

Step-by-step explanation:

If line r and line a are parallel, therefore:

(11x - 28) + (7x - 8) = 180° (consecutive interior angles are supplementary)

Solve for x

11x - 28 + 7x - 8 = 180

Add like terms

18x - 36 = 180

18x = 180 + 36 (addition property of equality)

18x = 216

x = 216/18 (division property of equality)

x = 12

Answer:

3,1,6,2 hope this helps :D

Step-by-step explanation:

Answer:

find ity yourself          -_______________-

Step-by-step explanation:

Answer:

John paid $127 for football camp. He paid a $7 registration fee and $5 for each week he was enrolled in camp. What is w, the number of weeks John was enrolled in football camp?

Answer:

[tex]the \: answer \: i s \: 89100000 \\ to \: be \: honest \: it \: wasnt \: that \: hard[/tex]

Answer:

89100000

Step-by-step explanation:

That wasn't tricky but okay!

10 to the power of 7 is basically 10000000

Just multiply 8.91 by 10000000 and you have the answer

Answer:

Step-by-step explanation:

.90-.35=.55

200/.55=364 bags i think

Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.

Given :

The following steps can be used to determine the total number of bags she sells to earn the profit of $200:

Step 1 - First find the total profit she earns to sell one bag.

= 0.90 - 0.35

= $0.55

Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.

[tex]=\dfrac{200}{0.55}[/tex]

= 363.63 [tex]\approx[/tex] 364 bags

She sells a total of 364 bags to earn a profit of $200.

For more information, refer to the link given below:

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Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]

According to the Exterior Angle Theorem, the true statement should be considered as the option b.

The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.

So based on this, we can say that the option b is correct.

learn more about an angle here: https://brainly.com/question/6150811

Answer:(-1.1)

Step-by-step explanation:

Answer: The answer is (-1,1)

Step-by-step explanation:

I just did it and I hope this helps you❤️

Answer:

$3,500

Step-by-step explanation:

5000x.1=$500

20000x.15=$3,000

$3,000+$500=$3,500