Answers
Step-by-step explanation:
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{ {x}^{2} + 3x - 4 } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ \sqrt{x + 20} - \sqrt{12 - x} }{(x + 4)(x - 1)} \times \frac{ \sqrt{x + 20} + \sqrt{12 - x} }{ \sqrt{x + 20} + \sqrt{12 - x } } [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{ {( \sqrt{x + 20} )}^{2} - {( \sqrt{12 - x} )}^{2} }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{x + 20 - 12 + x }{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2x + 8}{(x + 4)(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2 \cancel{(x + 4)}}{ \cancel{(x + 4)}(x - 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \lim \limits_{x \to - 4} \frac{2}{(x + 1)( \sqrt{x + 20} + \sqrt{12 - x} )} [/tex]
[tex] = \frac{2}{( - 4 + 1)( \sqrt{ - 4 + 20} + \sqrt{12 + 4} ) } [/tex]
[tex] = \frac{2}{( - 3)( \sqrt{16} + \sqrt{16}) } [/tex]
[tex] = \frac{2}{( - 3)(4 + 4)} [/tex]
[tex] = \frac{2}{( - 3)(16)} [/tex]
[tex] = \frac{1}{( - 3)(8)} [/tex]
[tex] = - \frac{1}{24} [/tex]
Related Questions
Which equation represents the graphed function? -3x+2y -2/3x-3=y 3/2x-3=y 2x-3=y
Answers
Answer:
Step-by-step explanation:
I’m having the same problem
Which conditional has a true converse? Select all that apply.
A. If a quadrilateral is a square, then it has four congruent sides.
B. If a polygon is a triangle, then it has 3 sides.
C. If a quadrilateral is a rectangle, then it has two pairs of parallel sides.
D. If a number is even, then it is divisible by 2.
E. If a number is prime, then the only factors of the number are itself and 1.
Answers
Answer:
b
Step-by-step explanation:
because a triangle does have three sides
Use the Distributive Property and simplify the expression.
4+2(3x−1)+9
3x + 14
6x + 11
5x + 14
6x + 15
Answers
Answer:
6x+11
Step-by-step explanation:
4+2(3x−1)+94+(2×3x)-(2×1)+94+6x-2+96x+4+9-26x+13-26x+11ill give brainiest to anyone that can answer this for me, Thanks in advance
Answers
Answer:
I'm pretty sure it's D
Step-by-step explanation:
At Hollister, they sell 10 pairs of jeans in 12 minutes. If the store continues to sell jeans at the same rate, about how many pairs of jeans will the store sell in 2 hours?
Answers
Answer:
vende 100 pares de jeans
Step-by-step explanatio:
2 horas = 120 minutos
10 x 120 =1200 / 12 = 100
2+2^2 divided by 4+3. THIS IS A MULTIPLE CHOICE QUESTION PLEASE REMEMBER THAT option: 6, 7, 21, 67
Answers
Answer:
6
Step-by-step explanation:
Answer: From what I can tell it is 6 divided by 7 so I don't know. Go with 6 as your answer I would say.
Step-by-step explanation:
4.7 is 10 percent of what number?
Answers
Answer:
47
Step-by-step explanation:
Which set of vertices form a right triangle?
O (1, 3), (2, 2), (5, 6)
O (3, 5), (4, 4), (6, 8)
O (3, 6), (5, 5), (7, 8)
O (2, 5), (3, 3), (4,7)
Answers
Answer:
3,5 .4,4.6,8.
Step-by-step explanation:
tfjfkggkhhkjgiifkgftthvgyybf
Write simplified expressions for the area and perimeter of the rectangle.
width: 9
length: 7 + x + 5
what is the perimeter of the rectangle?
Answers
Answer:
aa
Step-by-step explanation:
[tex]\boxed{\sf x+12=15}[/tex]
Answers
Answer:
x = 3
Step-by-step explanation:
In order to solve, you have to do the opposite of positive 12 by subtracting it on both sides, to get x = 3.
Hope this helps :)
Of the 15 clients at Patty's salon, 5 of them have brown hair.
What is the probability that a randomly selected client at Patty's salon has brown hair?
Answers
Answer:
1/3
Step-by-step explanation:
15 clients total 5/15 of them have brown hair.
Solve for x: (1 point)
negative 5 over 4, multiplied by x minus 5 equals negative 35?
Answers
[tex] \frac{ - 5}{4}x - 5 = - 35 \\ = > \frac{ - 5}{4} x = - 35 + 5 \\ = > \frac{ - 5}{4} x = - 30 \\ = > x = - 30 \times \frac{4}{ - 5} \\ = > x = 6 \times 4 \\ = > x = 24[/tex]
Answer:x = 24.
Hope it helps.
Do comment if you have any query.
Combine the like terms to simplify the expression.
7p2 + 9q2 + 4q2 – 4p
7p2 + 13q4 – 4p
3p + 13q4
3p + 13q2
7p2 + 13q2 – 4p
Answers
STEP1:
Equation at the end of step 1
(((7•(p2))+(9•(q2)))+22q2)-4p
STEP 2 :
Equation at the end of step2:
(((7 • (p2)) + 32q2) + 22q2) - 4p
STEP 3 :
Equation at the end of step3:
((7p2 + 32q2) + 22q2) - 4p
STEP4:
Trying to factor a multi variable polynomial
4.1 Factoring 7p2 - 4p + 13q2
Try to factor this multi-variable trinomial using trial and error
Final result :
Final result : 7p2 - 4p + 13q2
what is : x-y-3y + 5x
please answer quickly
Answers
Answer:
6x - 4y
Step-by-step explanation:
x+5x-y-3y
6x - 4y
2(3x-2y)
Step by step explanation:
x-y-3y+5x
6x-y-3y
6x-4y
2(3x-2y)
The function f(x) = 2x when evaluated for f(2) is:
Approximately 22
Approximately 7
Approximately 17
None of the choices are correct
Answers
Answer:
D
Step-by-step explanation:
The symbol on the right says that if there is an x on the right side of the equation, Then substitute a 2 for it.
f(x) = x
f(2) = 2*2 = 4
D
None of the other answers offered are correct.
100 POINTS PLEASE BRAINIEST IF CORRECT!!!!!!
What is the slope of this graph?
Answers
Answer:
slope = 3
Step-by-step explanation:
Using the following points on the graph:
Let (x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 7)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (7 - 4)/(1 - 0)
m = 3/1 = 3
Therefore, the slope of the graph is 3.
Take two points
(1,7)(2,10)Slope:-
[tex]\\ \tt\hookrightarrow m=\dfrac{10-7}{2-1}[/tex]
[tex]\\ \tt\hookrightarrow m=\dfrac{3}{1}=3[/tex]
– 6 + 2 X 32
-6 to the power of 2
Answers
Answer:
22
Step-by-step explanation:
Answer:
the answer for -6 + 2 ×32 =58
-6²= 36 as a negative multiplied by a negative gives you a positive .
After sitting out of a refrigerator for a while, a turkey at room temperature 70°F is placed into an oven. The oven temperature is 300°F Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.
Answers
What is the slope intercept equation of the line shown?
X=2
Y=2
Y=2r
X=2y
Answers
Answer:
Y=2
Step-by-step explanation:
Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at -10°C through a surface coefficient of 16 W/m2 · K and the outer wall is exposed to 33°C air with a surface coefficient of 32 W/m2 · K. Determine the surface temperatures for this situation.
Answers
Step-by-step explanation:
bananas are to be cooled from 24 to 138c at a rate of 215 kg/h by a refrigeration system. the power input to the refrigerator is 1.4 kw. determine the rate of cooling, in kj/ min, and the cop of the refrigerator. the specific heat of banana above freezing is 3.35 kj/kg·8c.
Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at −10 c through a surface coefficient of 16 w/m2⋅k and the outer wall is exposed to 33 c air with a surface coefficient of 32 w/m2 ⋅ k. determine the surface temperatures for this situation
Step-by-step explanation:
Evaluate the required thickness of styrofoam for the freezer compartment in the previous problem when the inside wall is exposed to air at -10°C through a surface coefficient of 16 W/m2 · K and the outer wall is exposed to 33°C air with a surface coefficient of 32 W/m2 · K.
sorry
Bartholomew and Maurice are buying school supplies. Bartholomew buys 5 notebooks and 6 binders for a total of $31.45. Maurice buys 4 notebooks and 8 binders for $38.60. Let n represent notebooks and b represent binders,what is the cost of a notebook?
Answers
Creating a system of equations, the cost of a notebook (n) will be: $1.25
n = note books.
b = binders.
Create a system of equation and solve for the variables.
Equation for school supplies bought by Bartholomew:
5n + 6b = 31.45 --> Eqn. 1Equation for school supplies bought by Maurice:
4n + 8b = 38.60 --> Eqn. 2Multiply Eqn. 2 by 6 and Eqn. 1 by 8.40n + 48b = 251.6 --> Eqn. 1
24n + 48b = 231.6 --> Eqn. 2
Subtract Eqn. 1 from Eqn. 2.16n = 20
Divide both sides by 16n = 1.25
Therefore, creating a system of equations, the cost of a notebook (n) will be: $1.25
Learn more here:
https://brainly.com/question/12560930
AYO help me for AP Calculus please
³≅√5Ф
Answers
Answer:
umm this isn't a question but ok lol. how are you?
Step-by-step explanation:
Answer:
so what's the question????
plz help i give brainliest and points
Answers
Answer:
e) 1 / 2
f) -3 / 2
Step-by-step explanation:
e) line passing through points (1,1) (3,2)
you can count coordinates by blocks
slope = (y2 - y1 ) / (x2 - x1)
= (2 - 1) / (3 -1 )
= 1 / 2
f) line passing through points (0,0) (-2,3)
slope = (y2 - y1 ) / (x2 - x1)
= (3 - 0) / (-2 - 0)
= 3 / -2
= -3 / 2
Please can someone help me with this please ?
Answers
Step-by-step explanation:
1-phenyl-3-methyl-4-stearoyl- 5-pyrazolone1-phenyl-3-methyl-4-stearoyl- 5-pyrazolone
50 points for whoever gets this
Answers
Answer:
62
Step-by-step explanation:
∠2 + ∠1 = 180
as they lie on the same line
∠2 = 180 - 118
= 62
Answer: Its 62
Step-by-step explanation: Since a triangle is 180 degree angel you subtracted 180 from 118 so its 180-118=62
WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER
Which of the following rules represents the set of ordered pairs?
{(5, -1), (3, 7), (1, 15), (0, 19)}
ƒ( x ) = -2 x - 5
ƒ( x ) = 8 x - 23
ƒ( x ) = -4 x + 19
Answers
Answer:
f(x) = -4x + 19
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
Zainab paid $63.32 to fill her car’s gas tank with gas. If the gas tank was empty and the cost of gasoline was $3.28 per gallon, how many gallons does the gas tank hold? PLZ HELP
Answers
Equation: 63.32 ➗ 3.28 = 11 (rounded)
Answer: 11 gallons
answer this and get 60 points
Answers
Answer:
44° (second option)
Step-by-step explanation:
Since the line bisects the angle, we can set them equal to each other and solve:
[Equation] 7x + 9 = 10x - 6
[Add 6 to both sides] 7x + 15 = 10x
[Subtract 7x from both sides] 15 = 3x
[Divide both sides by 3] 5 = x
Now, we will plug it into the expression for angle VXW,
[Equation] 10x - 6
[Plug-In] 10(5) - 6
[Multiply] 50 - 6
[Subtract] 44
[Answer] 44°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
As an estimation we are told 5 miles is 8 km.
Convert 40 miles to km
Answers
Answer:
64.3738
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
5 miles is = to 8km, so, since it takes 5 times to get to 40 using 8, it would be 8x8(km). 8x8=64. If using a speed calculator, it makes some wierd numbers, just round.
whats 39.5 percent written as a fraction
Answers
Step-by-step explanation:
= 39,5%
= 39,5/100
= 3950/1000
Answer:
79/200
Step-by-step explanation:
Convert the percentage into a fraction of 100 then multiply the both fraction by ten, so that the decimal is gone. Then simplify the fraction by dividing the numerator and denominator by 5 so in the end we have 79/200
