How do I simplify? x2 – 4 divided by x2 + 5x + 6. When working with Functions
Answers
Answer:
Step-by-step explanation:
Factor the numerator and the denominator to get
[tex]\frac{(x+2)(x-2)}{(x+2)(x+3)}\\ \\ \text{The (x+2) terms cancel out leaving}\\ \\ \frac{x-2}{x+3}[/tex]
Related Questions
How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Answers
Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
I NEED THE SLOPE INTERCEPT FORM, ITS DUE BY 12
Answers
Answer:
really what is the answer
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.
hope this helps.
Which function is equivalent to y=2(x+3)2+5?
Question 1 options:
y=2x2+12x+23
y=2x2+14
y=2x2+6x+14
Answers
Answer:
y=2x2+12x+23
Step-by-step explanation:
2×2+12x+23
2(2+6x)+23
2×2(1+3x)+23
2(1+3x)2+23
I hope it will help you.
find m<1 and m<3 in the kite. the diagram is not drawn to scale.
a. 51;51
b. 39;39
c. 39;51
d. 51;39
Answers
Answer: Choice c. 39; 51
======================================================
Explanation:
Using the SSS congruence theorem, we can show that triangle ABC is congruent to triangle ADC. This in turn means that angle BAC is congruent to angle DAC as these are corresponding angles.
So angle 1 is 39 degrees.
----------------------------------------
For any kite, the diagonals always are perpendicular (this can be proven using a similar idea as shown above, but a bit more steps are needed). This means they meet at a right angle, and angle 2 is 90 degrees.
Let point E be the intersection point of the diagonals.
Since angle AEB is 90, this makes angle AED also 90.
Focus entirely on triangle AED. This is a right triangle.
In this triangle, A = 39, E = 90, and D is unknown
Let's find angle D
A+E+D = 180
39+90+D = 180
129+D = 180
D = 180 - 129
D = 51
Angle D is 51 degrees, which also means angle ADB = 51 degrees. This is the measure of angle 3.
----------------------------------------
We found that
angle 1 = 39 degreesangle 3 = 51 degreesTherefore, the final answer is choice C
In one hour the temperature in a city fell from 4.3°C to −3.2°C. How many degrees celsius did the temperature fall during the one hour period? (Enter an exact number.)
Answers
Answer:
7.5 decrees celcius
Step-by-step explanation:
cyclops frogggggggiiiiiiieeeeeeeee
Answers
Answer:
It is a little creepy....
Step-by-step explanation:
lol that totally looks like one
23. En un hexágono regular el lado mide 4cm y su
apotema 2, 3 cm, ¿cuál es el área del hexágono?
Answers
Step-by-step explanation:
El área del hexágono es de 27.6cm². Para sacar el área del hexágono necesitas la siguiente fórmula (P×a÷2)(Perímetro × apotema entre 2).
Perímetro del hexágono=24
Área= (24×2.3÷2=27.6)
Área= (27.6)
help on math homework
Answers
AnTHE ANSWER IS 2
Step-by-step explanation:
I JUS KNOW
What percent of the surface area of the ottoman is green not including the bottom .The radius of the ottoman is 22 in and the cushion is 6 in and the green is 10 in
Answers
Answer:
37%
Step-by-step explanation:
Surface area of a cylinder = πr² + 2πrh
With r = 22 and h = (6 + 10) = 16
Area = π * 22² + 2 * π * 22 * 16
Area = 1520.728 + 2211.968
Area = 3732.696 in²
Percentage of green = surface area of green ÷ total surface area
Surface area of green = 2πrh
Surface area of green = 2 * π * 22 * 10
Surface area of green = 1382.48
Percentage of green = 1382.48 / 3732.696 * 100%
Percentage of green = 37%
2. Joseph has $10,000 to invest. He goes to Met Bank that pays 4% interest compounded annually.
How much will Joseph have in the bank after 10 years?
Answers
10x4=40
40x100=4000
he will have $4000 in the bank
Answer:
£14000
Step-by-step explanation:
10000x0.04=400
400 per year for 10 years=4000
4000+10000=14000
Jasmine had 50 cans and collects 5 additional cans per week for a food drive. Leandra has no cans but collects 10 cans per week. After how many weeks will they have the same number of cans?
Answers
Which of the following is equivalent to 4x - 3y = 12 ?
y = -4/3x - 4
y = 4/3x + 4
y = -4/3x + 4
y = 4/3x - 4
Answers
by converting the slope
Answer:
y = 4/3 x - 4
Step-by-step explanation:
The slope-intercept form of the equation of a line
The equation of a line can be expressed in several forms. One of them is the slope-intercept form:
y = mx + b
Where
m = slope
b = y-intercept
We are required to convert the equation of the line:
4x - 3y = 12
It can be done by solving for y.
Subtracting 4x:
- 3y = - 4x + 12
Dividing by -3;
y = 4/3 x - 4
Dukes charges a flat fee of $40 for a manners lesson $16.25 per day to board the dog, $8.50 per day for playtime with the dog. You board your dog at Duke's Kennels and pay $163.75. How many days
did your dog stay at the kennel? Justify your answer. Assume you get a
manners lesson and play time for your dog each day,
write an equation and solve to find out how many days your dog stayed at dukes
Answers
Answer:
1 week. or 7 days
Step-by-step explanation:
dont get mad at me if im wrong
The dog at Duke's Kennels stayed for 5 days.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the number of days be 'd' and from the given information,
16.25d + 8.50d + 40 = 163.75.
24.75d = 123.75.
d = 5.
So, The dog stayed for 5 days.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
please help with these three!
Answers
Answer:
Step-by-step explanation:
∠B = 180°-64° = 116°
:::::
∠G = 180°-132° = 48°
:::::
∠M = 96°
Square root of -18 ?
Answers
Recipe 3: Chicken Stir Fry
Original Yield: 4 servings
New Yield: 12 servings
Conversion Factor:
Original Ingredients
Converted Ingredients
1 lb Boneless skinless chicken breasts
lb Boneless skinless chicken breasts
3 tbsp Cornstarch
tbsp Cornstarch
2 tbsp Reduced sodium soy sauce
tbsp Reduced sodium soy sauce
½ tsp Ginger, ground
tsp Ginger, ground
3 tbsp Vegetable oil
tbsp Vegetable oil
2 cups Broccoli florets
cups Broccoli florets
1 cup Celery, sliced
cups Celery, sliced
1 cup Carrots, thinly sliced
cups Carrots, thinly sliced
1 Onion, small and cut into wedges
Onions, small and cut into wedges
1 cup Reduced sodium chicken stock
cups Reduced sodium chicken stock
or broth
or broth
Recipe 3: Chicken Stir Fry
Original Yield: 4 servings
New Yield: 12 servings
Serving Size: 8 ounces
Conversion Factor:
Original Ingredients
Converted Ingredients
1 lb Boneless skinless chicken breasts
lb Boneless skinless chicken breasts
3 tbsp Cornstarch
tbsp Cornstarch
2 tbsp Reduced sodium soy sauce
tbsp Reduced sodium soy sauce
½ tsp Ginger, ground
tsp Ginger, ground
3 tbsp Vegetable oil
tbsp Vegetable oil
2 cups Broccoli florets
cups Broccoli florets
1 cup Celery, sliced
cups Celery, sliced
1 cup Carrots, thinly sliced
cups Carrots, thinly sliced
1 Onion, small and cut into wedges
Onions, small and cut into wedges
1 cup Reduced sodium chicken stock
cups Reduced sodium chicken stock
or broth
or broth
Equivalent Measures
1 cup = ounces
16 cups = quarts
144 ounces = pounds
Answers
Answer:
?????.??????????.???????????????
HURRY ILL CASHAPP YOU
Answers
Answer:
We know that g(n) = n + 1
So we need f(n+1)
We know that whatever we give to f it will multiply it by - 3 and add 3 to it so we have to :
(n + 1) × (- 3) + 3 = - 3n - 3 + 3 = - 3n
So choice C is correct
frecuencia del alcohol
Answers
Dnbdusbsjeisbsbdbbd
Solving systems using tables,this hw i need help :/
Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.
A.Write an equation to represent the amount in Mikayla’s savings account.
B.Write an equation to represent the amount in Matthew’s savings account.
C.Below make an input-output tables that show the amount in each account for the first 8 months
D.When will Mikayla and Matthew have the same amount in their accounts?
Mikayla
X-Y
0-$212
1-
2-
3-
4-
5-
6-
7-
8-
Matthew
X-Y
0-$30
1-
2-
3-
4-
5-
6-
7-
8-
Answers
Answer:
A -12x+212
B 14x+30
C
Mikaela
0 212
1- 200
2- 188
3- 176
4- 164
5- 152
6- 140
7- 128
8- 116
Matthew
0- 30
1- 44
2- 58
3- 72
4- 86
5- 100
6- 114
7- 128
8- 142
D In 7 months
Which inequality is true?
Answers
Answer:
2
Step-by-step explanation:
Answer:
|-100| > |50|
Step-by-step explanation:
|-100| = 100
|50| = 50
100 > 50
If two angles are complements, then they are both acute. Which is the hypothesis?
Answers
Answer:
the hypothesis is "two angles are complements"
Step-by-step explanation:
In the given statement, the hypothesis is "two angles are complements".. While the conclusion is that "they are both acute".
The hypothesis of the two angles being complements is what led to the conclusion that they are both acute since sum of 2 complementary angles is 90° and acute angle is any angle that measures less than 90°.
What THREE integers have a sum of 300?
Answers
Answer:
Here we will use algebra to find three consecutive integers whose sum is 300. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 300. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 300
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 300
3X + 3 = 300
3X + 3 - 3 = 300 - 3
3X = 297
3X/3 = 297/3
X = 99
Which means that the first number is 99, the second number is 99 + 1 and the third number is 99 + 2. Therefore, three consecutive integers that add up to 300 are 99, 100, and 101.
99 + 100 + 101 = 300
We know our answer is correct because 99 + 100 + 101 equals 300 as displayed above.
Step-by-step explanation:
Answer:
99, 100, and 101
Step-by-step explanation:
Just add these numbers
The graph of y = 3^x is shown . What is the value of x when y=27
a . 2
b. 3
c. 9
d. 24
Answers
Answer:
B. 3
Step-by-step explanation:
Because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27
−3(5x + 8) − 7(5x + 3)
Answers
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45
$26,000 is invested at 8% p.a. If interest is compounded annually, find the balance after 35 years.
Answers
Answer:
At the end of 35 years, your savings will have grown to $384,418.
You will have earned in $358,418 in interest.
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answers
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
Ms. Wright wanted to take her entire music class of 17 students to see The Nutcracker. Tickets were $32 dollars a piece.
How much money did she need in order to pay for the students' tickets?
Answers
Explanation: 17 divided by 32 is 544
the diagram shows a triangle drawn between a pair of parallel lines
Find value of x and y
Answers
Answer:
x = 60
y = 80
Step-by-step explanation:
x° + 120° = 180° (interior angles on the same side of transversal)
x° = 180° - 120°
x° = 60°
x = 60
x° + y° = 140° (alternate angles)
60° + y° = 140°
y° = 140° - 60°
y° = 80°
y = 80
The measure of angle ∠x is 60° and ∠y is 80°.
What are Alternate Interior Angles?Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Since angle ∠x and ∠120° are interior angles on the same side of transversal.
So, x° + 120° = 180°
x° = 180° - 120°
x° = 60°
x = 60
Since angle ∠x° and angle ∠y° are alternate angles
So, x° + y° = 140°
Substitute the value of x = 60 in above equation,
60° + y° = 140°
y° = 140° - 60°
y° = 80°
Hence, the measure of angle ∠x is 60° and ∠y is 80°.
Learn more about Alternate Interior Angles her:
https://brainly.com/question/2125016
#SPJ2
bella wants to have at least 200$ in her bank account by the end of the month she currently has 25$ in her bank account bella makes 12$ for each dog that she walks how many dogs would katie have to walk to reach her goal of 200$
Answers
17
Step-by-step explanation:
12×17=204 if she walked 17 dogs she would have 204$ therefore the answer is 17 dogs
solve (x - 4)^2 = 5
Answers
Answer
If you are solving for X, take the root from both sides.
Exact Form:
x
=
√
5
+
4
,
−
√
5
+
4
Decimal Form:
x
=
6.23606797
…
,
1.76393202
…
Answer:
Step-by-step explanation:
[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]