evaluate 4(x+5)(x+1) over (x+3)(x-3) for x=5

Answer:

3.

Step-by-step explanation:

Rearrange to make it easier:  6*x+3*y-(12)=0

Find like factors and eliminate them: 6x + 3y - 12  =   3 x (2x + y - 4)

So then you get 3 = 0. So y would be 3.

Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

Answer:

Hey there!

Rhianna has 1/2 of a box of pencils left after using some at school.

The bottom two boxes would be 3÷3=1.

Let me know if this helps :)

Answer:

Step-by-step explanation:

There are 6 spaces and three are shaded

= [tex]6\div 3 = 2\\[/tex]

Answer:

y = 14 [tex](6)^{x}[/tex]

Step-by-step explanation:

For an exponential function of the form y = a[tex]b^{x}[/tex]

Use the given points to find a and b

Using (0, 14 ), then

14 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus

a = 14

y = 14[tex]b^{x}[/tex]

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = [tex]\sqrt[3]{216}[/tex] = 6 , thus

y = 14 × [tex]6^{x}[/tex] ← exponential function

Answer:

it's A

Step-by-step explanation:

[tex]6x-3y=36\\\\-3y=36-6x\\\\y=\frac{36-6x}{-3} \\\\y=\frac{36}{-3}-\frac{6x}{-3}\\\\ y=-12 +2x \\ OR\\y=2x-12[/tex]

Answer:

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

Answer:

$35 per ticket

Step-by-step explanation:

1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity

Answer:

It would be 5.

Step-by-step explanation:

3 - 5 is -2, because it goes like this:

-5  -4  -3  -2  -1  0  1  2  3  4  5 (just count down)

Answer:

D. 180cubic cm

Step-by-step explanation:

volume=h*w*L

V=6*5*6

v=180

"Former" means "past", more or less. So he used to be a camper.

Antonym means the opposite.

I would say "future" is more opposite than "past", but "current" works as well too.

Answer:

A.) 16.75

Step-by-step explanation:

First, find the volume of each mold:

[tex]Cylinder_{volume}[/tex] = πr²h

Where,

π = 3.14

r = 2 in

h = 4 in

[tex]Cylinder_{volume} = 3.14*2^2*4 = 50.24 in^3[/tex]

[tex]Sphere_{volume}[/tex] = ⁴/3πr³

Where,

π = 3.14

r = 2 in

[tex]Sphere_{volume} = \frac{4}{3}*3.14*2^3 = 33.49 in^2[/tex]

Approximate difference in the amount of wax needed = 50.24 - 33.49 = 16.75 in^3

Answer:

A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]3+11t-9u\\\\\rightarrow\boxed{t = 9; u = 11}\\\\3+11(9)-9(11)\\\\3+99-99\\\\102-99\\\\\boxed{3}[/tex]

Hope this helps.

Answer:

44g

Step-by-step explanation:

Rice is sold in 75-gram packs and 120-gram packs.

74.5  to  75.5                               119.5 to 120.5

lowest possible difference = 119.5 - 75.5 = 120-75-1 = 44g

Answer:

2

Step-by-step explanation:

√4 = 2

Answer:

Step-by-step explanation:

present value | $741.37 (US dollars)

More members prefer a beach vacation and ski vacation than an adventure vacation.

======================================================

Explanation:

Let's go through the four answer choices to see which one is true.

Answer: a. y=5

b. RS = 37 ,  ST =16 and RT = 53 .

Step-by-step explanation:

Given: On number line we have,

RS = 7y + 2, ST = 2y +6, and RT = 13y - 12.

a. Since its on number line so we have

RT = RS+ ST

i.e. 13y - 12 = (7y + 2) + ( 2y +6)

⇒ 13y - 12 = 7y + 2 + 2y +6

⇒  13y-12 = 9y+8

⇒    13y-9y = 8+ 12   [Subtract 9y from both sides and add 12 in both sides]

⇒    4y = 20

⇒  y= 5  [Divide both sides by 4 ]

b. Now ,  RS = 7(5) + 2 = 35+2= 37,

ST = 2y +6 = 2 (5)+6 = 10+6 =16,

and RT = 13y - 12  = 13 (5)-12 = 65-12 = 53.

Hence, RS = 37 ,  ST =16 and RT = 53 .

Answer:

x'5/3.y1/3 is the correct answer

Answer:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

Answer:

The nth term for the given sequence can be written as:

[tex]a_n=6\,n+1[/tex]

Step-by-step explanation:

Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

Then, using the general expression for the nth term of an arithmetic sequence of first term "[tex]a_1[/tex]"  and common difference "d" we can write the nth term as:

[tex]a_n=a_1+(n-1)\,d[/tex]

which in this case translates as:

[tex]a_n=a_1+(n-1)\,d= 7\,+(n-1)\,6=7+6\,n-6=6\,n+1[/tex]

Answer:

Step-by-step explanation:

7,  13,  19,   25, .......

Arithmetic sequence.

First term = a = 7

Common difference = d = second term -  first term

            d = 13 - 7 = 6

nth term [tex]a_{n}=a+(n-1)d\\[/tex]

[tex]a_{n} = 7 +(n-1)*6\\\\\\a_{n}=7 + 6n - 6\\\\\\a_{n} = 1 + 6n[/tex]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

[tex]\rule{130}1[/tex]

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

[tex]\rule{130}1[/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup[/tex]

When,

[tex]\bullet\: \textsf {x = } \textbf {15} [/tex]

[tex]\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17} [/tex]

[tex]\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.[/tex]

Answer:

Rational

Step-by-step explanation:

A surd is an irrational number. An irrational number refers to any number that can not be written in the form a/b where a and b are integers.

Given √3600, which can be written as √36 × √100 = 6 ×10 = 60.

Hence √3600 is a rational number.

Answer:

x=8

Step-by-step explanation:

A= x+3

B= x+2

C= x+1

A+B+C=30

[tex]x+3+x+2+x+1=30\\3x+6=30\\3x=30-6\\3x=24\\x=\frac{24}{3}\\x=8[/tex]

ANS: X=8

Answer:

-10

Step-by-step explanation:

imma be honest all i do is put in different numbers until it is right. But the way to do it is subract 2 by puting it under the negative 3 and you get -5. then multiply the 2 by putting it under the -5. you get -10. and the answer will read r = -10. Therefore r is -10

Answer:

I’m sorry I thought I saw a positive 3, The correct answer would be -10.

Answer:

45% male teachers

55% female teachers

Step-by-step explanation:

multiply the number of teachers with 100 and divide it by the total number of teachers

Answer: Length of RS = 13

Step-by-step explanation: Segment is a line connecting two points.

Length or Distance of a segment is the distance between these two points and is calculated as:

[tex]d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}[/tex]

For the line RS:

[tex]d=\sqrt{[1-(-4)]^{2}+[9-(-3)]^{2}}[/tex]

[tex]d=\sqrt{(1+4)^{2}+(9+3)^{2}}[/tex]

[tex]d=\sqrt{(5)^{2}+(12)^{2}}[/tex]

[tex]d=\sqrt{25+144}[/tex]

[tex]d=\sqrt{169}[/tex]

d = 13

The length of segment RS is 13 units.

Answer:

^ Answer is C

Step-by-step explanation:

1)Option B is the correct option.

231

2)Option A is the correct option.

6336

3)Option B is the correct option.

307 (not sure)

Answer:

√29

Step-by-step explanation:

We have points (3,4) and (5,9), so the distance: