Helppppppppppp!!!!!!!

Answer:30*20

Step-by-step explanation:

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

We find in this place a non-linear system formed by a quadratic equation and a linear equation, which can be solved by algebra properties. The complete procedure is shown below:

y = 2 · x² - 3 · x - 4     (1)

y + x = 8                     (2)

By (2) in (1):

2 · x² - 3 · x - 4 + x = 8

2 · x² - 2 · x - 12 = 0

2 · (x² - x - 6) = 0

2 · (x - 3) · (x + 2) = 0

x = 3 ∨ x = - 2

y = 8 - 3 ∨ y = 8 - (- 2)

y = 5 ∨ y = 10

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

To learn more on quadratic equations: https://brainly.com/question/17177510

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Part 1

Other answers are possible.

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Explanation:

The old width was 5, but then it increases to x+5. The old length was 10, but now it's x+10.

The area of any rectangle is length times width.

So the area of the larger rectangle is (x+5)(x+10). Subtract off the old area of 5*10 = 50 and we get (x+5)(x+10) - 50 as the area of the L shape. Set this equal to 126 to finish setting up the equation. This is one possible answer out of many others. This is because we could expand out the (x+5)(x+10) into x^2+10x+5x+50 or simplify that to x^2+15x+50, as two possible options.

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Part 2

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Explanation:

Solve the equation we set up in the previous part

(x+5)(x+10) - 50 = 126

x^2+10x+5x+50-50 = 126

x^2+15x = 126

x^2+15x-126 = 0

Apply the quadratic formula from here

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(15)\pm\sqrt{(15)^2-4(1)(-126)}}{2(1)}\\\\x = \frac{-15\pm\sqrt{729}}{2}\\\\x = \frac{-15\pm27}{2}\\\\x = \frac{-15+27}{2} \ \text{ or } \ x = \frac{-15-27}{2}\\\\x = \frac{12}{2} \ \text{ or } \ x = \frac{-42}{2}\\\\x = 6 \ \text{ or } \ x = -21\\\\[/tex]

Another method you could use is factoring, so you could say:

x^2+15x-126 = 0

(x-6)(x+21) = 0

x-6 = 0 or x+21 = 0

x = 6 or x = -21

The issue with this is that it may take a while to do this trial and error approach.

Whichever method you used, you'll end up with two solutions. One of those solutions doesn't make sense though. We can't have a negative length or distance value, so we ignore x = -21.

The only practical solution is x = 6

If x = 6, then the old height goes from 5 to x+5 = 6+5 = 11

If x = 6, then the old length goes from 10 to x+10 = 6+10 = 16

The new larger rectangle is 11*16 = 176 sq ft, in which we subtract off the 50 sq ft to get 176-50 = 126 sq ft, and this matches with the 126 given to us. Therefore, the answer is confirmed.

Answer:

So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

Answer:

The Prime Factorization is:

2 x 2 x 3 x 5

In Exponential Form:

2^2 x 3^1 x 5^1

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction

Answer:

♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

Answer:

C.)  3.6 + (6 - 4)

Step-by-step explanation:

10. 1

11. 0

12. 0

13. 0

14. 1

15. 2

16. 1

17. 3

18. 1

19. 0

20. 1

Answer:

B

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = [tex]\frac{7}{8}[/tex] × 7 - [tex]\frac{1}{2}[/tex]

      = [tex]\frac{49}{8}[/tex] - [tex]\frac{4}{8}[/tex]

      = [tex]\frac{45}{8}[/tex] → B

Answer:

5 - 2 x 9 + 9^2 divided by 3

5 - 2 x 9 + 81 divided by 3

5 - 18 + 81 divided by 3

5 - 18 + 27

-13  + 27

14

Using PEMDAS:

Parenthesis First

Exponents

Divide or Multiply

Add or subtract

Answer:

17.99

Step-by-step explanation:

Trig Ratios:

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)

Recall that sin = opposite over hypotenuse

That being said we want to create an equation to solve for w

[tex]sin(40)=\frac{w}{28}[/tex]

Now we solve for w

Step 1 multiply each side by 28

[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]

we're left with w = 17.99

Answer:

-9x^2 - 9x + 18

Step-by-step explanation:

-9 • (x - 1) • (x + 2)

-9x + 9 • (x + 2)

-9x^2 -18x + 9x + 18

-9x^2 - 9x + 18

Answer:

y = - 9x² - 9x + 18

Step-by-step explanation:

y = - 9(x - 1)(x + 2) ← expand factors using FOIL

   = - 9(x² + x - 2) ← distribute parenthesis by - 9

y = - 9x² - 9x + 18 ← in standard form

Answer:

1) 20/45= 4/9=4:9

2) 3:8:5

3) 10:7

Answer:

6c = b

Step-by-step explanation:

6 cups of flour for each batch of bread, so 6c;

b is the batch of bread.

So basically,

6c = b

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

Answer:

$120.29

Step-by-step explanation:

first you add the normal prices of what sally bought, then add 6.5% of the price she paid.

22.5(2) + 55 + 12.95 = 112.95

6.5          x

-----  =    -----

100     112.95

6.5(112.95)  = 100x

734.175/100 = 100x/100

7.35 ≅ x

112.95 + 7.35 = 120.30

I think that's it! Let me know if it is! If so, please maybe consider giving me Brainliest! It would really help me out!

Answer:

mark -7 on the line then draw a line to the left of it

Could you please express this question better, I don't seem to understand the objective.

Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

27

Step-by-step explanation:

3 times 3 times 3

length times width times height

I hope this helped!

Answer:

27

Step-by-step explanation:

Answer:

2a.) 8 times on blue. 2b.) 18 times on red. 2c. ) 4 times on green.

Step-by-step explanation) the answer for 8 times on blue. is yes The answer for 18 times on red. Is yes. The answer for 4 times on green. Is no

Answer:

6.71

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

6^2+3^2=c^2

36+9=c^2

45=c^2

6.71=c

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2Step-by-step explanation:

Answer:

40

Step-by-step explanation:

well I need the 3rd number but right now the answer is 40

Answer:

470

Step-by-step explanation:

there are several surface areas.

1. the 4 side walls of the big block = 4*12*7 = 336

2. top and bottom of the big block = 2* 7*7 = 98

3. subtract the small rectangular area from the top area covered by the small block = 2*7 = 14

4. the 3 (visible) side walls of the small block on top =

3* 2*7 = 42

5. the small top and bottom areas of the small block =

2* 2*2 = 8

so, 1.+2.-3.+4.+5. = 470

Answer:

#5 - C

#7 - A

Step-by-step explanation:

If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.

In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).

#5:

Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77

#7:

Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5

Answer: I believe the answer is 88

~i hope that is answered your question correctly, have a gr8 day/night my friend!~

Step-by-step explanation:

Answer:

Yeah the answer would be 288

Step-by-step explanation:

A number that is .5 or up you always round up.

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is c 16/100