Initial value of 100 increasing at a rate of 5%

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

The equation of the line is y-2x+5=0 I believe. Good luck :)

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

Answer:

Ok that is good

Step-by-step explanation:

Answer:

k = 3.2

Step-by-step explanation:

2 - 4(3 + 4k) = 54

=> 2 - 12 + 20k = 54

=> -10 + 20k = 54

=> 20k = 64

=> k = 3.2

Hoped this helped.

Answer:

6.5

Step-by-step explanation:

Answer:

the top two on the right hand corner go in coressponding the one by the middle of the top row gos in alternative int and the far left gos in alt in bottom two go in cosecutive the middle far right go alt int middle row far left consecutive interior left gos alt ext and middle row right gos alt

Step-by-step explanation:

Sorry if this is late lol. Hope this helps other people too though.

Alternative interior

4 & 6

3 & 5

Corresponding

1 & 5

4 & 7

2 & 6

3 & 8

Alternative

1 & 8

2 & 7

Consecutive

4 & 5

3 & 6

Answer:

The answer is steeper.

I'm not sure about the slope thingy. But the line looks Steeper instead of flatter

Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:

Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Learn more about maths in https://brainly.com/question/25901815

Answer:

probably 4.5 if im not mistaking

Answer:

4 1/2

Step-by-step explanation:

(-2 7/10) = (-2.7)

9/5 = 1.8

1.8 - (-2.7)

= 1.8 + 2.7

= 4.5 or 4 1/2

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

Answer:

no cuh

Step-by-step explanation:

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

Answer:

  an = 1 +2^n

Step-by-step explanation:

The given terms do not have a common ratio or a common difference. The differences of the given terms are ...

  5 -3 = 2

  9 -5 = 4

  17 -9 = 8

These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.

The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...

  an = 1 +2^n

Answer:

Try!

Step-by-step explanation:

[tex]300 {ft}^{2} [/tex]

Step-by-step explanation:

d=20

r=10

π=3

[tex]a = \pi{r}^{2} [/tex]

[tex]a = (3) {(10)}^{2} [/tex]

[tex]a = 300[/tex]

Answer:

A = 300 ft^2

Step-by-step explanation:

First we need to  find the radius

r = 1/2 d

The diameter is 20

r = 1/2(20) = 10

A =pi r^2

We are using 3 for pi

A = 3( 10)^2

A = 3 * 100

A = 300 ft^2

Answer:

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

= 360 × 50

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Answer:

He is been paid $7 per hour

Step-by-step explanation:

140dollars/ 20 hours

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

Answer: B: 3.45

Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.

Answer:

donwload the gautmaht this is very powerful calculator to math problems

Step-by-step explanation:

make this is helpful too you

Answer:C

Step-by-step explanation:

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.

Answer:

40-d

Step-by-step explanation:

Answer:

3x+8+5x+12

8x+20=180

A. 80+20=100 No

B. 120+20=140 No

C. 160+20=180 Yes

D. 200+20=220 No

The Answer is C

Hope This Helps!!!

Answer:

x = 20

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8

5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is

5x + 12 + 3x + 8 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

Answer:

so that's how you plot their intersection

Answer:

525

Step-by-step explanation:

hope this helps

Answer:

526

Step-by-step explanation:

The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Given the expression:

Take the LCM of the fraction to have:

[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]

Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]

Learn more on fractions here; https://brainly.com/question/78672

Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Answer:

48 ÷12 will help you 48 is cost divided by total cost which means cost of one adult and one child