Answer:
x+7x2+3x+2=6x+1+−5x+2
Step-by-step explanation:
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x+7x2+3x+2=6x+1+−5x+2
I will increase your salary from $12,000 to $15,000. What is the percentage increase
Answer:
i think 20%
Step-by-step explanation:
The percent increase of the salary is 25%.
We have,
the salary increases from $12,000 to $15,000
So, Change in Amount= (15,000 - 12,000)
= 3, 000
Now, Percent increase = change in amount/ original amount x 100
= 3000/ 12000 x 100
= 1/4 x 100
= 100/4
= 25%
Thus, the percent increase is 25%.
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Which of these shows the complete factorization of 6x^2y^2-9xy-42
Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The given expression is
[tex]6x^2y^2-9xy-42[/tex]
= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]
The factorized form will be
= [tex]3 (2x^2y^2 - 3xy - 14)[/tex]
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Determine a series of transformations that would map Figure L onto Figure M.
TO
Figure L
Figure M
Answer:
rotation of 90° counterclockwise, then translation 3 down
The given figure has a rotation of 90° counterclockwise, then translation 3 down.
What is translation?A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.
The two figures given in the image are plotted on the coordinate plane having axis x and y.
From the figure it is observed that the given figure has a rotation of 90° counterclockwise, then translation 3 down.
Therefore, the given figure has a rotation of 90° counterclockwise, then translation 3 down.
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Simplify please
(n^11)^2
Answer:
n^22 (I love your profile picture by the way)
Step-by-step explanation:
Answer:
n^22
Step-by-nstep explanation:
because you would multiply the exponents so 11 x 2 is n^22
Im im baby need help give crayons for answer 1+1=????
Answer:1+1=2
Step-by-step explanation:
Yeah Bio
PLEASE ANSWER ASAP: Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll?
PLEASE GIVE STEPS AND ANSWER AND NO FILE LINK!
Answer:
Store 1.
Step-by-step explanation:
Divide the price by the amount of roles of toilet paper. Ex 3.60÷12=.3 and 3.50÷10=.35. Now choose the lower option
An experiment reported in Popular Science compared fuel economies for two types of similarly equipped diesel mini-trucks. Let us suppose that 12 Volkswagen and 10 Toyota trucks were tested in 90- kilometer-per-hour steady-paced trials. If the 12 Volkswagen trucks averaged 16 kilometers per liter with a standard deviation of 1.0 kilometer per liter and the 10 Toyota trucks averaged 11 kilometers per liter with a standard deviation of 0.8 kilometer per liter, construct a 90% confidence interval for the difference between the average kilometers per liter for these two mini-trucks. Assume that the distances per liter for the truck models are approximately normally distributed with equal variances.
Answer:
CI= [4.324 , 5.6758]
Step-by-step explanation:
The 90 % confidence interval for the normal distribution is given by
(x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2
where Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2
and n1= 12 n2=10
x1`= 16 km x`2 = 11km
s1= 1km s2= 0.8km
and degrees of freedom υ= n1+n2-2= 20
Here ∝/2 = 0.05
From the table we get the value of t∝/2 (υ) to be 1.725
Putting the values
Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2
Sp= √11(1) + 9(0.8)²/20
Sp= √0.838=0.915
CI = (x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2
CI = (16-11)± 1.725 * 0.915√1/12+ 1/10
CI = (5) ± 0.675819
CI=[ 4.324 , 5.6758]
Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12
Answer:
two dollars
Step-by-step explanation:
12-8=4/2=2
Aunt Rebecca is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Winchester Bakery charges $4 for each cupcake, plus $30 for the large cake. Linda's Sweet Shoppe charges $40 for the large cake and $2 for each cupcake. If Aunt Rebecca orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?
Answer:
Yes
Step-by-step explanation
13/12=1 1/12
how do i transform this equation 5(3x+9)-2x=15x-2(x-5)
You have to multiply to get a simple equation so it would be 15x+45=15x-2x+10 and that’s where my knowledge stops with that
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Let's solve your equation step-by-step.
5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )
Step 1: Simplify both sides of the equation.
5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )
( 5 ) ( 3x ) + ( 5 ) ( 9 ) + −2x = 15x + ( −2 ) ( x ) + ( −2 ) ( −5 ) ( Distribute )
15x + 45 + −2x = 15x + −2x + 10
( 15x + −2x ) + ( 45 ) = ( 15x + −2x ) + ( 10 ) ( Combine Like Terms )
13x + 45 = 13x + 10
13x + 45 = 13x + 10
Step 2: Subtract 13x from both sides.
13x + 45 − 1 3x = 13x + 10 − 13x
45 = 10
Step 3: Subtract 45 from both sides.
45 − 45 = 10 − 45
0 = −35
Answer:
There are no solutions.
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PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer: 13
Step-by-step explanation: Hope this help :D
tell weather the ordered pair is a solution of the equation y=7x;(2,21)
Answer:
3,21 is
2,21 is not a proper ordered pair.
Step-by-step explanation:
Remark
It's not a solution
You can either use the x value to find out the proper y value
or
You can use the y value to find out the proper x value
Proper y value
Let x = 2
y = 7*2
y = 14
So the proper y value given that x = 2 is 14.
Proper x value
Let y = 21
21 = 7x Divide both sides by 7
21/7 = 7x/7
3 = x
But (2,21) is not a solution. (3,21) is.
Find the area of the triangle below.
Answer:
the area of this triangle is 5
Answer:
A = 5
Step-by-step explanation:
Solve
The area A of a triangle is given by the Formula; A = 1/2bh where b is the base and h is the height of the triangle.
Solution
A= hbb /2 =2·5/ 2=5
Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge? O
A. 10,760 feet O B. 21, 552 feet O C. 8,980 feet O D. 8,167 feet
Actual length of the Bridge = 8983.33 feet.
The scale is 1 unit = 19,600.
Height of the postcard is 3.5 inches.
So, original height of the bridge = 3.5 × 19,600 = 68,600 inches
= 5716.67 feet
Width of the postcard is 5.5 inches.
So, original width of the bridge = 5.5 × 19,600 = 107,800 inches
= 8983.33 feet
hope it helps
The correct option is (c) 8980 feet.
What is length ?The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For example - A rectangle, for instance, has length and breadth as its dimensions. Two hours is an example of length for a movie. 12 inches is an illustration of length.Given,length of the Bridge = 8983.33 feet.
The scale is 1 unit = 19,600.
Height of the postcard is = 3.5 inches.
So,
Original height of the bridge = 3.5 × 19,600 = 68,600 inches
= 5716.67 feet
Width of the postcard is 5.5 inches.
So, original width of the bridge = 5.5 × 19,600 = 107,800 inches
= 8983.33 feet
Therefore, the original width of the bridge is 8983.33 feet .
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There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
Answer: 25%
Step-by-step explanation:
Total pieces=20
apple pieces=5
=apple pieces/total pieces
= 5/20
for %age multipilying with 100
= 0.25×100
=25 percent
can two fractions with the same numerator and different denominators be equal
Answer:
No, it cannot be equal
Step-by-step explanation:
For example: 1/2 and 1/4
1/2 represent in 2 pieces you are getting one piece.
1/4 represent in 4 pieces you get one piece
Please explain how you find the slope of a graph?
Answer
m=rise/run
Step-by-step explanation:
To find the slope of a graph, you have to figure out home it is rising and how much it is running. Make sure you know which way is negative and positive. Then you divide rise by run.
Answer:
change in y / change in x
or you could differentiate the function of the graph to find the slope
Step-by-step explanation:
A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
from the base of the tree?
Answer: 6 meters
Step-by-step explanation:
I had this question and got the answer right.
The distance from the base of the tree will be 6 meters.
What is a Pythagorean theorem?The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.
From the Pythagorean theorem, the base will be calculated as:-
H² = P² + B²
B = √ ( H² - P² )
B = √ ( 10² - 8² )
B = √36
B = 6 meters
Hence, the 6 meters will separate you from the tree's base.
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Been stuck on this all day!! Helppp
Answer:
Step-by-step explanation:
You have to use the arithmetic sequence
f(n)=f(n-1)+d
You can plug in (40,10) and (50,20)
(10)=f(1)+39d
(20)=f(1)+19d
subtract
-10=20d divide
d=-1/2
plug into one of the equations above
(10)=f(1)+39(-1/2)
10=f(1)-39/2
59/2=f(1)
f(1)=29.5
plug into formula
f(n)=29.5-1/2(n-1)
f(n)= -1/2n +30 final equation (Plug in the table values into "n") to solve
Answer:
if it was like that wouldnt it go from 10 to 20 to 30 to 40 ect.
Step-by-step explanation:
find the missing measurements in the shape
Answer:
the area is 30 m2
Step-by-step explanation:
Without doing any calculations, compare Expression A to Expression B
A (34 + 25) ÷ 1/4
B 34 ÷ 25
1. Expression A is 2 times as great as expression B
2. Expression B is 4 times as great as Expression A
3. Expression A is 4 times as great as expression B
4. The two expressions are equal to each other.
Answer:
3
Step-by-step explanation
i searched it up :0
Answer: the answer is 3
Step-by-step explanation:
Help please will mark brainliest!!!
Answer:
945
Step-by-step explanation:
lI need help please answer
Answer:
Look Below
Step-by-step explanation:
1) 81 = 729/9
2) 36 / 3 = 12
3) 4X = 20 (X = 5)
4) 34 = 176 ???
5) 1470/35 = 42
6) 1 = 2/2
7) 7X = 245 (X = 35)
8) 600X = 2400 (X = 4)
9) 936 = 78X (X = 12)
If you find any fault in my answers please let me know! About 4 I am not able to answer that because I don't see what the problem is asking. Sorry. I hope this helps! Have a good day!
1. What is m angle R ? A 45 degrees B 69 degrees C 79.5 degrees D 90 degrees
PLEASE HELP ME PLEASE!
Is anyone good at math on the top of their head pls comment below ASAP!!!
Answer:
please do you need help there are more expect around
Step-by-step explanation:
drop the question let help you
Answer:
yea me kinda the only thing i help on brainly is math
Step-by-step explanation:
Help fast plz !!!!!!!!!!!
small....you can use random samples to obtain a small representation of populations that are too large to survey
FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?
Answer:
A
Step-by-step explanation:
Can someone help me plz
Answer: ITS 100% D.)12
Step-by-step explanation:
2x * 12 = 24 = 36
3x * 13 = 36
therefore, x= 12
hope this was helpful :D
brainliest plz?
Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?
Answer:
b=76/4
Step-by-step explanation:
Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers
Answer:
The answer is 19 boxes
Step-by-step explanation:
Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)