If (x + 1)(x - 3) = 12, then which of the following statements is true?


1.) x + 1 = 12 or x - 3 = 12

2.) x + 1 = 0 or x - 3 = 0

3.) x - 5 = 0 or x + 3 = 0

Answer:

182.88

Step-by-step explanation:

I hope this helped

Answer:

-3-8=-11

Step-by-step explanation:

The missing value is -8 because if you add is to -3 then you will get -11 and -11 = -11

Answer:

a. 80 units

b. 482.843 units²

Step-by-step explanation:

First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.

a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)

10 × 8 = 80

b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:

2(1 + radical 2)(10)² = 482.843

Answer:

c four tenths

Step-by-step explanation:

tenths are the first space after the decimal.

option C does not represent the decimal 0.004

A number system is defined as a system of writing to express numbers.

Given,

Decimal number is 0.004

zero point zero zero four.

We need to find the following does NOT represent this decimal

A. four thousandths

4/1000=0.004

B. 4/1,000

0.004

c.  four tenths

4/10=0.4

D. 1/250=0.004

Hence, option C does not represent the decimal 0.004

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer: 18

Step-by-step explanation:

Answer: 60 is the answer.

Step-by-step explanation: We can use the total sum, 180.

To get the missing angle, add the 2 angles, 60 and 60.

60 + 60 = 120.

Then subtract from 180.

180 - 120 = 60.

Hence, 60 is the answer.

Let me know if you have any questions.

~ Lily, from Brainly.

Note to asker: Write this down!

To find 1 missing angle:

A1 + A2 = TA - 180 = X (A1 = Angle1)

Answer:

#. x=12.75

Step-by-step explanation:

51/4

Answer:

if you simplify the expression you would get: -9x^3 + 10x + 4

Hope this helps:)

Answer:

123 purple

Step-by-step explanation:

164/4 = 41

41 = yellow

3 times more purple

41 x 3 = 123

Answer

The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.

I hope this helps

Answer:

4782969

Step-by-step explanation:

Answer:

[tex]\sqrt[7]{3^{2}}[/tex]

Step-by-step explanation:

[tex]3^{2/7}[/tex]

^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.

If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.

In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.

So by pointing these out, a fraction power = the power / the root.

If that makes sense.

So, with this in mind, let's look at what we have again.

[tex]3^{2/7}[/tex]

So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.

So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].

And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].

But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]

Answer: [tex]\sqrt[7]{3^{2}}[/tex]

So there it is! I hope that helped you!!

Answer:

45 ways

Step-by-step explanation:

The number of ways the committee of 2 can be selected from  a group of 10 may be found using the combination theory.

10 C 2

Recall that n C r = n!/(n-r)!r!

Hence

10 C 2 = 10!/(10 -2)!2!

= 10!/8!*2!

= 10 *9 *8!/8!* 2!

= 10 *9/2 * 1

= 90/2

= 45

Answer:

45

Step-by-step explanation:

got it right on test

Answer:

Commission 42.00

Store made $658.00

Step-by-step explanation:

9514 1404 393

Answer:

  C +2D = 3s -21

Step-by-step explanation:

Use the substitution property of equality.

  C = s -5

  D = s -8

Then the value of your expression is ...

  C +2D = (s -5) +2(s -8)

  = s -5 +2s -16

  C +2D = 3s -21

Answer:

y=1/4x+1.5

Step-by-step explanation:

Slope is 1/4 and I figured out that the y-intercept point is 1.5y.

I am not exactly sure though

Answer:

ΔCFE is a right triangle

ΔBEC is an acute triangle

ΔBFG is an equilateral triangle

ΔGAF is an obtuse isosceles triangle

Answer:

f(x) = 4x^2 +2, hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the shape is the sum of three sections

1. Rectangle

2. Bigger semicircle

3. Smaller semicircle

Total area:

answer:

157 inches²

step-by-step explanation:

rectangle:

5 X 14 = 70 inches²

big semicircle:

area = πr²

area = (3.14)(7)²

area = 3.14(49)

        = 153.86 inches²

153.86 / 2 = 76.93 inches²

small semicircle:

area = (3.14)(2.5)²

area = 3.14(6.25)

        = 19.625 inches²

19.625 / 2 = 9.8125 inches²

70 inches² + 76.93 inches² + 9.8125 inches²

= 156.7425 inches²

= 157 inches²

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

Answer: The maximum height the football reaches = 51.89 feet.

Step-by-step explanation:

Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.

Differentiate the given equation, we get

[tex]h'=-(2)16t+53=-32t+53[/tex]   (i)

Put [tex]h'=0[/tex]

[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]

Differentiate (i) w.r.t. t, we get

[tex]h''=-32[/tex] < 0  i.e. h is maximum at t= 1.65625

The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]

Hence, the maximum height the football reaches = 51.89 feet.

Answer:

Step-by-step explanation:

Disclaimer  it is up the student to verify all the geometry algabra and mathematical formulas and calculation .

cosФ = opp/hyp     sinФ = adj/hyp        hyp = 10      perimeter = a + b + c

for the 45° right triangle

a = b     so      2a² = hyp²                       perimeter 45 = a + a + hyp    

P45 = 2a + hyp         a = sin(45) (hyp)  = [1/2√2)] (hyp)        sin(45) = (√2)/2

P45 = 2([1/2√2)] (hyp) + hyp

P45  = hyp (√2 + 1)

for the 30° right triangle

a = hyp×sin(30)     b = hyp×cos(30)           perimeter 30 = a + b + hyp    

            sin(30) = 1/2       cos(30) = (√3)/2

a  = hyp(1/2)           b = hyp(1/2)(√3)

P30 =        a        +      b         + hyp

        =  hyp(1/2)  +  hyp(1/2)(√3) + hyp

        =  hyp[ 1/2  +  (1/2)√3  + 1]

        =  hyp[ 1/2  +  (1/2)√3  + 1]             factored out the hyp

        =  (1/2)hyp[ 1 + √3 + 2]                  factored out a 1/2

P30  =  (1/2)hyp[ 3 + √3]

which is greater  P45 or P30?   vso I set both perimeters equal to each other

              P45           vs             P30

      hyp (√2 + 1)     =    (1/2)hyp[ 3 + √3]            the hyp cancel

               (√2 + 1)     =    (1/2)[ 3 + √3]                    still tough to tell  needed

               1.414 + 1    =    (1/2)[ 3 + 1.732]                to go to the calsulator

                 2.414      vs    1/2( 4.732)

                 2.414      >     2.366        thus P45 > P30    < -----  Final Answer

Disclaimer  it is up the student to verify all the geometry algabra and mathematical calculation.

Answer:

what he said

Step-by-step explanation:

Answer:

I believe the two numbers are 14 and 24

Answer:

Those numbers are 14 and 24.

Step-by-step explanation:

You can solve this pretty quickly by taking those two facts and combining them:

a + b = 38

a - b = 10

Let's solve the second one for a:

a = 10 + b

Now we can substitute that into the first one:

a + b = 38

(10 + b) + b = 38

2b + 10 = 38

2b = 28

b = 14

To find a, we can plug that back into one of the original equations:

a + b = 38

a + 14 = 38

a = 24

We can also test our answer by plugging the results into the other given equation and see if we get the same value:

a - b = 10

24 - 14 = 10

10 = 10

So we know our answer is correct.

Answer: 3 -:- 3/4 = p

If you apply the rules keep change flip

You will keep 3/1 change divisions to multiplication and flip 3/4 to 4/3 so new equation 3/1 x 4/3 = 12/3 then 12÷3= 4 so your answer will be 4 pies

Step-by-step explanation:

Answer:

the 2nd one i think please be right

Answer:

You did not add an image, although the answer is as follows:

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

So, this situation's equation would be y = -32x + 5.

Answer:

500,000

250,000

125000

62,500

31,250

15,625

Equation : 1000000 / n^2

Step-by-step explanation:

Keep on dividing by 2

Answer:

Year one is 500,000

Year two is 250,000

Year three is 125,000

Year four 62,500

Year five 31,250

year six 15,625 <---  he has that much money left

Step-by-step explanation:

Divide