Question 3 (20 points)
Factor:
36x2 - 81y2

(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)

Answer:

The smallest solution is x=-1

Step-by-step explanation:

Quadratic Equation

We have:

[tex]f(x)=2x+1[/tex]

[tex]g(x)=-(x-1)^2+3[/tex]

We'll find the solutions of f(x)=g(x), or:

[tex]2x+1=-(x-1)^2+3[/tex]

Operating:

[tex]2x+1=-(x^2-2x+1)+3[/tex]

[tex]2x+1=-x^2+2x-1+3[/tex]

Rearranging all terms on the left side:

[tex]2x+1+x^2-2x+1-3=0[/tex]

Simplifying:

[tex]x^2-1=0[/tex]

Since the term with the x is missing, we can solve for x:

[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]

There are two solutions:

x=1, x=-1

The smallest solution is x=-1

Answer:

90.7yrs.  

Step-by-step explanation:

Given parameters:

Amount borrowed  = $2450

Interest rate  = 3.5%

Amount repaid = $3221.75

Unknown:

Number of years the load was paid  = ?

Solution:

The formula of simple interest;

    I = PRT

Where I is the interest

           P is the principal

          R is the rate

          T is the time

  To find the interest;

    Interest = Amount paid back - loan  = 3221.75 - 2450  = 771.75

Now;

     P = IRT

     2450  = 771.75 x [tex]\frac{3.5}{100}[/tex]  x T

     2450 = [tex]\frac{2701.25T}{100}[/tex]

    T = [tex]\frac{245000}{2701.125}[/tex]   = 90.7yrs

The number of years of the loan period was 90.7yrs.  

Answer:

A

Step-by-step explanation:

Answer:

(C) 350 yards

Step-by-step explanation:

From available information

Mean = 790

1 running back = 1637 yards

Standard deviation above mean = 2.42

Using formula

z =( x - mean)/sd

2.42 = (1637-790)/sd

2.42 = 847/sd

We cross multiply

2.42sd = 847

Divide through by 2.42

Sd = 847/2.42

Sd = standard deviation = 350

So our answer is 350 and therefore option c.

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

Answer:

-3/4

Step-by-step explanation:

Answer:

7:20

Step-by-step explanation:

35% of the students made the team

Answer:

7:20

Step-by-step explanation:

hope this helps :)

Answer:

The answer is B

Step-by-step explanation:

Answer:

It’s Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC

Step-by-step explanation:

I just took the test

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

Mkae me the brainlist plssss

Answer:

$29.99*0.6667%= $19.99= markdown price

Step-by-step explanation:

The answer is -3.9

Step-by-step explanation:

Answer:

Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces

Step-by-step explanation:

2 1/2-1 1/4=1 1/4, so 2

Using the division operation, the number of pieces of sandwich that can be cut is 2

Given the Parameters :

The number of pieces that can be cut out of the sandwich can be calculated thus :

Number of pieces = (2.5 ÷ 1.25) = 2

Therefore, there are 2 pieces of sandwich that can be cut.

Learn more : https://brainly.com/question/14429071

Answer:

y=1/2x+0.5

Step-by-step explanation:

The slope is 1/2, which you can see by looking at the change of y/x. The y intercept is 0.5, which can be seen on the y axis.

Answer: 144 feet

Step-by-step explanation:

Well solving for area you multiply length times wedth. So multiply 8 and 6 to get 48. Now you have to convert 48 inches into feet. So just multiply 48 times 3 to get 144.

$45 per hour plus a fixed change of $30

30/24= 1.25m per min

= 1.25×36= 45 minutes

Answer:

The Arch is 630 ft tall

Step-by-step explanation:

Answer:

x/4+8

Step-by-step explanation:

....................................

Answer:

what i believe you are looking for:

[tex] \frac{x}{4 + 8} [/tex]

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

Answer:

XYN is a right angle

explanation:

Answer:

Option (B)

Step-by-step explanation:

From the given picture,

Given:

Two lines PM and QR are intersecting each other at a point N.

∠NMR ≅ ∠NPQ

NR ≅ QN

To prove:

ΔMNR ≅ ΔPNQ

              Statements                               Reasons

1). NR ≅ QN                                 1). Given

2). ∠NMR ≅ ∠NPQ                     2). Given

3). ∠MNR ≅ ∠PNQ                     3). Definition of vertical angles

4). ΔMNR ≅ ΔPNQ                     4). AAS theorem of congruence

Therefore, Option (B) will be the correct option.

Answer:

B: AAS Congruence Theorem

Answer:

given, verticals angle thm, definition of supplementary, {you need to see the pic for it}, substitution, and you need to see the pic for the rest so i can’t help

can you go answer my question tho

Step-by-step explanation:

Answer:

[tex]\boxed{8}[/tex]

Step-by-step explanation:

-Solve the following expression when [tex]x = 4[/tex]:

[tex]\frac{5x + 12}{4}[/tex]

-Apply the value of [tex]x[/tex] onto the equation:

[tex]\frac{5x + 12}{4}[/tex]

[tex]\frac{5(4)+ 12}{4}[/tex]

-Multiply both the [tex]5[/tex] and [tex]4[/tex]:

[tex]\frac{5(4)+ 12}{4}[/tex]

[tex]\frac{20+ 12}{4}[/tex]

-Add both [tex]20[/tex] and [tex]12[/tex]:

[tex]\frac{20+ 12}{4}[/tex]

[tex]\frac{32}{4}[/tex]

-Divide [tex]32[/tex] by [tex]4[/tex]:

[tex]\frac{32}{4}[/tex]

[tex]\boxed{8}[/tex]

So, therefore, the final answer is [tex]8[/tex].

Answer:

Step-by-step explanation:

My answer is 8!!!

If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.

Answer:

4) -14/5

Step-by-step explanation:

Answer:

[tex]the \:equation \: for \: the \: problem \: is : \\ n - 5 = 25. \\ and \: the \: value \: of \: n \: is \: 30.[/tex]

Step-by-step explanation:

[tex]if \: n \: is \: the \: variable, \: then : \\ n - 5 = 25 \\ n = 30.[/tex]

Answer:

it would be 5.60

Step-by-step explanation:

5.60 is the answer

Answer:

I would say C

Step-by-step explanation:

Since two negatives make a positive

Answer:

C

Step-by-step explanation:

The easiest way to solve this would be to find the difference between the numbers. We can do [tex]-3-(-9)[/tex] to find the difference of [tex]6[/tex]. We can then make sure this is true for the rest of the sequence by adding 6 to each number.

[tex]-9+6=-3[/tex]

[tex]-3+6=3[/tex]

[tex]3+6=9[/tex]

[tex]9+6=15[/tex]

Now that we've verified that this is true, we know the answer is C

Answer:

u on go to padlet now

Step-by-step explanation:

Answer:

%178.50

Step-by-step explanation:

$52.50+$73.50=$126

$126+$52.50=

$178.50 for all three banners

Answer:

x = 5

y = 34

Step-by-step explanation:

Sub y = 8x - 6 into second equation (y = 5x + 9)

8x - 6 = 5x + 9

Rearrange by collecting like terms

8x - 5x = 9 + 6

3x = 15

x = 5

Sub x = 5 into first equation (y = 8x - 6)  

y = (8*5) - 6

y = 40 - 6

y = 34