Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

A 2-column table with 4 rows. The first column has no label with entries Step 1, Step 2, Step 3, Step 4. The second column is labeled x squared + 4 x minus 12 with entries x squared + 6 x minus 2 x minus 12, (x squared + 6 x ) minus (2 x + 12), x(x + 6) minus 2(x + 6), (x + 6)(x + 2).

In which step did Mia make an error?
Step 1
Step 2
Step 3
Step 4

Answer:

m=9 cm; n=4 cm

Step-by-step explanation:

The area of the rectangle is m*n, and the area of the square is 6*6.  We are told that the areas of the rectangle and square equal each other, so:

[tex]m*n=36[/tex]

We are told that m is 5 cm longer than n, so we know that:

[tex]m = 5+n[/tex]

Therefore, we can solve for n using substitution.

[tex]m*n=36\\(5+n)n = 36\\5n+n^2 = 36\\n^2 + 5n -36 = 0\\(n+9)(n-4)=0[/tex]

We now have two answers for n: -9 and 4.  However, the side length cannot be negative; that simply wouldn't make any sense.  Therefore, n = 4.

Next, using the same equation, plug in 4 for n and solve for m.

[tex]m*n=36\\m*4=36\\m=9[/tex]

Answer:

The slope is 2/3

Step-by-step explanation:

Hope it helps!

Answer:

n^2(radical)7

Step-by-step explanation:

You have to find the square root of all the components separately. 7 is not a perfect square (one number*itself = perfect square, ex 4 is the perfect square of 2 because 2*2=4) but the n^4 can be simplified and brought outside of the radical. When finding the square root of variables with exponents they have to come out in pairs to create that "perfect square." Therefore when you move a variable, you basically divide the exponent by 2. so n^4 inside the radical becomes n^2 outside of the radical, leaving the problem itself to become n^2 (radical) 7.

Answer:

x = -1 or x = 3

Step-by-step explanation:

One of those 2

Answer:

5.8 lemme know if im wrong :)

Step-by-step explanation:

Answer:

5 4/5. ( decimal 5.8)

Step-by-step explanation:

21 1/2 -15 7/10

= 43/2 - 15 17/10

=43/2 - 157/10

=29/5

= 5 4/5

Answer:

something to do with sets

Step-by-step explanation:

I think {odd numbers from 1 to 15 inclusive, there is something more to it but this is just a idea

Answer:

m = -35/49

c = -48

y = -35/49 x - 48

Step-by-step explanation:

Given the coordinate point

(-98, 22), (0, -48)

Slope m = y2-y1/x2-x1

m = -48 - 22/0 -(-98)

m = -70/98

m = -35/49

Substitute m = -35/49 and (0, -48) into the equation y = mx+c

-48 = 0(-35/49) + c

-48 = c

c = -48

Hence the y-intercept is -48

Get the equation

Recall that y = mx+c

y = -35/49 x - 48

Answer:

C. x < - 1

Step-by-step explanation:

1. Subtract 6 from both sides.

[tex]x < 5 - 6[/tex]

2. Simplify 5 - 6 to -1.

[tex]x < - 1[/tex]

Therefor, the answer is, x < -1.

Answer:

-3s^2+16s-7

Step-by-step explanation:

-3s(s - 10) + 7(-2s -1)​ --> (-3s^2+30s)+(-14s-7) ---> -3s^2+16s-7

DO multiplication them convert like terms

Answer:

-3s² + 16s - 7

Step-by-step explanation:

Remember to follow FOIL. FOIL stands for (First, Outside, Inside, Last).

First, distribute -3s to s and -10, and 7 to -2s and -1:

-3s(s - 10) = -3s² + 30s

7(-2s - 1) = -14s - 7

Next, combine like terms:

-3s² + 30s - 14s - 7

-3s² + (30s - 14s) - 7

-3s² + 16s - 7

-3s² + 16s - 7 is your answer.

™

Answer:

Answer: 544

Step-by-step explanation:

The Surface Area of a Cuboid

Given a cuboid (rectangular prism) of dimensions x,y, and z, the surface area is calculated as follows:

[tex]S=2(xy+yz+xz)[/tex]

The dimensions of a given cuboid are x=28 cm, y=4 cm, z=5 cm, thus:

[tex]S=2(28*4 + 4*5+ 28*5)[/tex]

[tex]S= 2*272 = 544[/tex]

The surface area is [tex]544 cm^2[/tex]

Answer: 544

Answer:

Her final position would stop at -87.

Step-by-step explanation:

As she dove 243 feet into the ocean, that means she went down. Therefore she's currently at -243, however she swam up 156 feet ending her up at -87. If that was kinda complicated, then use -243+156 and you'll get -87.

Answer:

9

Step-by-step explanation:

The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.

Hope this helps!

Answer:

[tex]x=8\sqrt{5}[/tex]

Step-by-step explanation:

I will assume the following:

The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.

Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)

Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.

Now with the big triangle. I will set up one last equation. See attachment 4.

Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.

Answer:

I got 140 minutes  

Step-by-step explanation:

Answer:

y = 2x + 1

Step-by-step explanation:

[tex]m = \frac{-3 - 7}{-2 - 3}\\ = \frac{-10}{-5}= 2\\y = mx + b \\y = 2x + b\\7 = 2(3) + b\ -> 7 = 6 + b \\b = 1 \\y = 2x + 1[/tex]

Answer:

D

Step-by-step explanation:

The slope of the graph would be negative and constant for 12 s; then, the slope would be 0 for 6 s because the slope represents the passing of time. Therefore, option D is the correct answer.

Velocity gives us information about the rate of change of your position, meaning how fast your position is changing per unit time.

Given that, a bus increases its position at a constant velocity for 12 s, and then it stops for 6 s.

Here, rate of change is 12/6 = 2 s

Therefore, option D is the correct answer.

Learn more about the velocity here:

https://brainly.com/question/19979064.

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The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).

We have to find out the value of x for which the equation becomes true.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)

Let's solve to get the value of x.

⇒ 0.75(x + 20) = 2 + 0.5(x - 2)

⇒ 0.75x + 15 = 2 + 0.5 x - 1

⇒ 0.75x - 0.5x = 1 - 15

⇒ 0.25x = - 14

⇒ x = -14 ÷ 0.25

⇒ x = - 56

Let's check ;

0.75(x + 20) = 2 + 0.5(x - 2)

0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )

(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)

-42 + 15 = 2 -28 - 1

-27 = -27

Both sides are equal for value of x = -56.

Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

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Answer:

x=-10

Step-by-step explanation:

2x-8=4x+12

-2x. - 2x

-8=2x+12

-12. - 12

-20 = 2x

-10=x

$21.00

Step-by-step explanation:

if 1 yard equal 6 dollars

do 6 times 3 = 18

and half of 6 is 3

add 18+3=21 dollars

They start you off with the angle 122 d (degrees) and a straight lime is 180 d so you should do 180 d - 122 d to get 58

Answer:

45 dimes

Step-by-step explanation:

66 nickels = 66 x $0.5 = $3.30

$7.80 - $3.30 = $4.50

$4.50 / $0.10 = 45

Answer:

8

Step-by-step explanation:

If you have 8 loins and 4 tigers you add those up, you now have 12, if you have 24 cats that means that you double that, 12 x 2 =24 (boom) so now you know you just have to double 4 into 8.

Because for every 8 loins there are there are 4 tigers.

(double trouble)

Answer:

mnljkhjhkbj/n/

Step-by-step explanation:

Answer:

i think it's 2 7

Step-by-step explanation

the ratio with the bigger number first would be the answer because it's bigger than 1 3.

Answer:

His Son

Step-by-step explanation:

2/7=0.29

1/3=0.33

In total 19/21 of the laundry still needs to be complete.

9.5% is done

90.5% needs to be done between the both of them.

71.43% of Mr. Vardar's laundry needs to be done.

66.67% of his sons needs to be done.

Answer:

J) -4.5

Step-by-step explanation:

-12x=54

x=54÷(-12)

x=-4.5

Answer:

J

Step-by-step explanation:

divide both sides by -12, x = -4.5. J is the only one that shows that solution, so J is the answer

Answer:

x = 5

Step-by-step explanation:

x³ = 125

x = √125

x = 5

plz follow me

Answer:

23

Step-by-step explanation:

i think if not correct sorry

Answer:

63k + 27

Step-by-step explanation:

9(3) + 9(7k)

27 + 63k