Answers
Answer:
[tex]\frac{x+20}{x+4}[/tex]
Step-by-step explanation:
Can't cancel out terms like that
need to factor out the top and bottom
[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex] now cancel out the (x-4) from the top and bottom
= [tex]\frac{x+20}{x+4}[/tex]
Answer & Explanation:
Error: individual terms in an equation in a fraction cannot be directly canceled out.
Correction:
the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):
(x^2 + 16x - 80) / (x^2 - 16)
(x+20)(x-4) / (x+4)(x-4)
x+20 / x+4
the complicated way (manipulate the exponents and common factors):
(x^2 + 16x - 80) / (x^2 - 16)
(x^2 - 4x + 20x - 80) / x^2 - 2^4
x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)
x(x-4)+20(x-4) / (x-4)(x+4)
x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)
(x-4)(x + 2^2 (5)) / (x-4)(x+4)
(x-4)(x+20) / (x-4)(x+4)
x+20 / x+4
Related Questions
Find the measure of the complement of an 18° angle.
Answers
Answer:
72°
Step-by-step explanation:
Hello There!
Complementary angles have a sum of 90 degrees
So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90
90 - 18 = 72
so your answer will be 72°
Miss Johnson bought a roast that weighed 6lb. 4oz. What was the total cost of the roast if the cost per pound was $4.48.
Answers
Answer:
26.88$
Hope this helps :))
Hope with a question
Answers
Answer:
(3,7)
Step-by-step explanation:
PLEASE HELPP ME IM GONNA FAIL
Answers
Answer:
90 degrees.
Step-by-step explanation:
They right ray point is on the 90 degree number and left ray is on zero so we find the difference.
90-0=90
so it measures 90 degrees.
Answer:
<ba=180 <bc=90
Step-by-step explanation:
(1)/(8)-1(7)/(8) please help
Answers
Answer: -0.75
1/8 - 1(7)/8 = -3/4= -0.75
Answer:
[tex]\frac{1}{8} -1\frac{7}{8}[/tex]
[tex]\frac{1}{8} -\frac{15}{8}[/tex]
[tex]\frac{1-15}{8}[/tex]
[tex]-\frac{14}{8}[/tex]
[tex]-\frac{7}{4}[/tex]
[tex]-1\frac{3}{4}[/tex]
Step-by-step explanation:
Can one of you guys help me
Answers
We get 32*3/8x and that is 12
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are yellow?
Answers
Answer:
72 marbles are yellow
Step-by-step explanation:
hi, find the real zeros. if there are none, just say none.
Answers
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
Please help I’ll mark brainliest
Answers
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
I HATE SCHOOL ESPECIALLY MATH
Answers
36
——
49
Or
As a decimal
About 0.7346939
Answer:
Step-by-step explanation:
Answer is in the picture. I promise its not a bad picture.
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answers
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
Subtract the following polynomials in this equation
Answers
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
Answers
If you add up 1/2 + 1/4 + 3/8 + 5/8 you’ll end up with 1 and 3/4 cup so it is close to 2 cups but not quite there yet!
Hope this helps!
mallory and five of her friends bought a box of 36 cookies. together they ate 2/3 of the cookies
Answers
Answer:
24 cookies got eaten 12 weren't eaten
Step-by-step explanation:
36 divided by 3 = 12
12 x 2 = 24 ( since they ate 2/3)
36-24=12 (12 weren't eaten)
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answers
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
Find the value of x.
(3x+20) º
12°
Answers
Answer:
x=32°
Step-by-step explanation:
2x+3x+20=180 co interior angle
5x=180-20
x=160/5=32°
Answer:
12°
Step-by-step explanation:
a straight line adds up to 180°
(3x+20)+2x=180
3x+2x+20=180
5x+20=180
5x=180-20
5x=60
5x/5=60/5
x=12
x=12°
A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?
Answers
Answer:
9in
Step-by-step explanation:
a p e x
Answer:
Step-by-step explanation:
For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800
Answers
Her employer's contribution to the 401(k) was $2,500.
CalculusGiven that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:
4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500Therefore, her employer's contribution to the 401(k) was $2,500.
Learn more about calculus in https://brainly.com/question/22810844
Answer: C. $2250
Step-by-step explanation: took the quiz.
Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)
Answers
The diameter of a compact disc is 12 centimeters. What is the approximate circumference of the compact disc? 37.69 cm 75.39 cm 113.09 cm 452.38 cm
Answers
Answer:
37.69cm i might be wrong, u gonna have to check
Step-by-step explanation:
25 points. Need help
Answers
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Show all of your work. Simplify the expression: - 3a + 7 + 5a
Answers
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
subtract the negative 3 from the 5
2a + 7
Answer: it would be 2a+7
Step-by-step explanation: Hope this help :D
Two-step equation
2x+5x=-1
What's the answer for x=
Answers
You need to combine the 2x and 5x then devise the 7x from -1
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
4(x+2)=4x+8 need help
Answers
Answer:
True
Step-by-step explanation:
Any value of x makes the equation true
All Real numbers
(-∞)(∞)
whats the difference between coterminal, reference, and rotational angles?
Answers
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
To learn more about an angle visit:
https://brainly.com/question/28451077.
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What is the volume of a hemisphere with a radius of 6.5 ft, rounded to the
nearest tenth of a cubic foot?
Answers
Answer:
Answer:574.9ft^3.
Step-by-step explanation:
radius (r) = 6.5feet
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14 x (6.5) ^3
Volume=2/3 x 3.14 x 6.5 x 6.5 x 6.5
Volume = (2x3.14x6.5x6.5x6.5) ➗ 3
Volume=1724.645 ➗ 3
Volume=574.9ft^3
The volume of a hemisphere with a radius of 6.5 ft, rounded to the
nearest tenth of a cubic foot is 574.9ft^3.
What is the volume of a hemisphere?The volume of a hemisphere that has radius r can be calculated as
[tex]2/3\times \pi \times r^3[/tex]
It is given that the hemisphere
radius (r) = 6.5feet
π=3.14
The volume of a hemisphere
=[tex]= 2/3\times \pi \times r^3\\\\= 2/3 \times3.14\times (6.5) ^3\\\\2/3 \times3.14 \times6.5 \times6.5 \times6.5\\\\1724.645 /3\\574.9ft^3[/tex]
Learn more about hemispheres;
https://brainly.com/question/17940432
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278÷3 in one decimal place
Answers
Answer:
92.6! Hope this helps.
Step-by-step explanation:
-lei
hope this helps
the product of 2 consecutive integers is 42. find the integers
Answers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
Tell me the definitions of the following vocabulary words:
quadrilateral:
parallelogram
trapeze:
rectangle:
diamond:
square: PLS HELP ME
Answers
Answer:
quadrilateral: a four-sided shape or figure and has four striaght sides
parallelogram: four-sided plane with oppisite paraell sides
trapezoid: a quadrilateral with one pair of parell sides
rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,
diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .
square: a quadrilateral with four equal sides. It is a rectangle and parallagram.
Hope that helped you! :)
Step-by-step explanation:
Help please, what's the interquartile range?
Answers
Q3-Q1=IQR
17-11=6
