The simplified value of (g - h) (g² - 3gh + 2h²) is equal to g³ - 4hg² + 5gh² - 2h³.
The expression given is (g - h) (g² - 3gh + 2h²)
We have to simplify the above polynomial expression.
What are the like terms in an expression ?
Like terms are the terms which contain the same variable which is raised to the same power i.e., 3m , 2m , 4m are like terms.
As per the question ;
The expression given is (g - h) (g² - 3gh + 2h²)
So ,
On solving the above expression we get ;
g³ - 3hg² + 2gh² - hg² + 3gh² - 2h³
Let's simplify this by adding similar variables ;
2gh² , 3gh² are same variables
i.e., 2gh² + 3gh² = 5gh²
Similarly ,
- 3hg² and - hg² are same variables.
i.e., -hg² - 3hg² = -4hg²
So ,
The value after simplification will be ;
= g³ - 4hg² + 5gh² - 2h³
Thus , simplified value of (g - h) (g² - 3gh + 2h²) is equal to g³ - 4hg² + 5gh² - 2h³.
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Which of the lines shown is a line of symmetry?
Guess my rule......
Answer:
The rule in what is shown to be a graph and a in-out machine is:
y = 2x + 5
Step-by-step explanation:
2(5) + 5 = 15
10 + 5 = 15
15 = 15
TRUE RULE
2(7) + 5 = 19
14 + 5 = 19
19 = 19
TRUE RULE
2(8) + 5 = 21
16 + 5 = 21
21 = 21
TRUE RULE
y = 2x + 5 is your rule!
Answer:
Step-by-step explanation:
y = 2x + 5
Find the midpoint of the segment with the given endpoints.
(-4,-9) and (-2,1)
Answer:
it is -2,1 I really hope that helps
What is the length of segment VS?
O 3 units
11 units
13 units
O 15 units
From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units
5x - 4 = 2x + 5
5x - 2x = 5 + 4
3x = 9
x = 9/3
x = 3
TS = VS
Hence, VS = 6x - 3
Substitute the value of x to obtain the value of VS :
VS = 6x - 3
VS = 6(3) - 3
VS = 18 - 3
VS = 15 units
Hence, the length of the segment VS is 15 units.
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Answer:
15 units :)
Step-by-step explanation:
Which of the following is the correct factorization of 7x2-36x+5
Find the values of x and y
Answer:
Corresponding angles are equal
therefore y = 134°
Angles on a straight line add up to 180°
x = 180° - y
x = 180° - 134°
x = 46°
and please I need brainliest
Can someone please help me solve these word problems?
Answer:
7. 39
Jim is 39 years younger.
. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Find the cube root three into 125a6
Answer:
✅ 5a²⬇ Down Below is from Edge 2020 ⬇
Which value would make the statement true?
Answer:
4
Step-by-step explanation:
cause 2/4=1/2 which is greater than 4/12
Answer:
4
Step-by-step explanation:
Because if you plug in four then you reduce both 1/2 is greater then 1/4.
The length of a rectangle is 5 cm less than three times its width. If the perimeter of the rectangle is 54 cm, find the LENGTH of the rectangle. *
Answer:
Hi there!
Your answer is
The length is 19
Step-by-step explanation:
L=3w-5
P=54
Perimeter formula
L+L+W+W=P
(3w-5)+(3w-5) +w+w = 54
8w-10=54
+10
8w=64
/8
w=8
Plug in width in Length formula
L=3w-5
L= 3(8)-5
L=19
PLEASE HELP THIS MAKES MY BRAIN HURT
Which equation has the correct sign on the product?
A. 27(-5) = -135
B. (-4)(-4) = -16
C. (-61)(3) = 183
D. 22.4 = -88
Answer:
A
Step-by-step explanation:
27 x -5 = -135
Answer: A
Step-by-step explanation: Hope I helped you.
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?
Answer: See explanation
Step-by-step explanation:
a. Construct a decision tree for Wile
The solution to the question has been attached.
b. What is the expected value of the new car?
= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000
= $2000 + $14400 - $22000
= $16400 - $22000
= -$5600
c. What is the expected value of the used car?
= [(0.4 × $4000) + (0.6 ×$9000] - $12000
= $1600 + 5400 - $12000
= $7000 - $12000
= -$5000
d. What is the expected value of leasing the car?
= [(0.1 × -$2000) + (0.9 ×0)] - $8500
= -$200 - $8500
= -$8700
What’s 605,000 in scientific notation
Answer:
6.05 × 10∧5Step-by-step explanation
make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten
Simplify 5x-2>19-2x
3x-5<5x-3
Given expressions:
5x -2 > 19 - 2x
3x -5 < 5x - 3
Simplifying;
a. 5x -2 > 19 - 2x ;
Collect like terms;
5x + 2x > 19 + 2
7x > 21
Divide both sides by 7 to give;
x > 3
Not if we divided by a negative value, the sign of the inequality changes.
b. 3x -5 < 5x - 3
Collect like terms;
3x - 5x < -3 + 5
-2x < 2
Divide both sides by (-2), note, the sign of the inequality changes;
x > -1
Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the
Answer:
Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .
Modern Egypt has more ✔ territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .
i would really appreciate it if you mark this answer brainlest.
The word or phrase that best completes each sentence are size, territory and Nile River.
What as the ancient Egypt about?The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.
Ancient Egypt differs from modern Egypt mainly in terms of size.
Modern Egypt has more territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.
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21+5f=61 hnhnuihnh hun h
Answer:
f=8
Step-by-step explanation:
21+(5 times 8=40) = 61
The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?
Answer:
15cm
Step-by-step explanation:
the width is xcm
22 + 22 + 2x = 74
44 + 2x = 74
2x = 30
x = 15
the width is 15cm
By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9
Answer:
C
Step-by-step explanation:
-4+9=5
Help anyone ??????!!!!!! Plz
Answer:
n = 12
Step-by-step explanation:
You first write it out as in equation and get 3n-7=2n+5
You then do addition property of equality to add 7 on both sides, and gets 3n=2n+12
Then you subtract 2n from both sides to get
n=12
Hope this helps!
Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
A person bikes 2 1/2 miles in 1/8 of an hour how far do they bike in 1 whole hour
Answer:
The person will bike 20 miles.
Step-by-step explanation:
Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
ILL GIVE BRAINLIEST
Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees, estimate the time of Ratchett's death using Newton's Law of Cooling.
Answer:
Time of Death = 2 : 49 : 45 AM
Step-by-step explanation:
The formula for Newton's Law of Cooling is written as follows:
dT/dt = - K(T - Ts)
where,
dT = change in temperature
dt = time interval
K = cooling constant
T = Final Temperature of object
Ts = Surrounding Temperature
First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:
dT = 27°C - 28°C = -1°C
dt = 1 hr = 3600 s
K = ?
T = 27°C
Ts = 22°C
Therefore,
-1 °C/3600 s = - K(27 °C - 22 °C)
K = 1 °C/(3600 s)(5 °C)
K = 5.55 x 10⁻⁵ /s
Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:
dT = 28°C - 37°C = -5°C
dt = ?
K = 5.55 x 10⁻⁵ /s
T = 28°C
Ts = 22°C
Therefore,
- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)
dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)
dt = 1.5 x 10⁴ s
dt = 4.17 h = 4 h 10 min 15 s
Therefor,
Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15
Time of Death = 2 : 49 : 45 AM
the mount of money earned on a jop is directliy propotional to the number of the hours worked.if 70$is earned in 5 hours how much money earned in 22hours of work
Answer:
$308
Step-by-step explanation:
Easy, find how much is earned in 1 hour. Therefore 70/5 = 14 dollars per hour
and multiply the amount of hours work therefore 14 times 22 = $308
Answer:
308
Step-by-step explanation:
Because if you have 70$ in 5 hours
it means that you have 14$ every hours
so, you have 308$ in 22 hours
22x14=308
Find g(h(x))
f(x) = 4x – 6
g(x) = 5/3x + 1
h (x) = -12x^2 - 6x
Answer:
g(h(x))
Step-by-step explanation:
g(h(x))=
[tex](5 \div 3)( (- 12) {x}^{2} - 6x) + 1 = \\ (5 \times( - 12) {x}^{2} ) \div 3 - (5 \times 6x) \div 3 + 1 = \\ (5 \times (- 4) {x}^{2} ) -( 5 \times 3x) + 1 = \\ - 20 {x}^{2} - 15x + 1[/tex]
Jamie’s string is 10 ft 1 in. long. Emma’s string is 6 ft 4 in. long. How much longer is Jamie’s string
Answer:
3 ft 9 in
Step-by-step explanation:
3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Answer:
Since the order of choice matters, we will permute the values. a bit more explanation for this:
If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter
Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters
Since we have 3 slots:
___ ___ ___
Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now
So:
_4_ ___ ___
**Keep in mind that the 4 is the possible number of values this slot can have**
Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with 3 more alphabets
we can put any one of the 3 alphabets in this second slot, Hence:
_4_ _3_ ___
Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3
Therefore:
_4_ _3_ _2_
Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets
Total possible words = 4 * 3 * 2
Total possible words = 24
We could've used the formula for Permutation as well