Answer:
4×(-3)=12,3×(-1)=-3;+3,c=-2
the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism
Answer:
length, width, and height are (b+2), (b-2), (b+3)
Step-by-step explanation:
Doing what the problem statement tells you to do, you get ...
(b^3 +3b^2) -(4b +12)
= b^2(b +3) -4(b +3) . . . factor each pair of terms
= (b^2 -4)(b +3) . . . write as a product
= (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares
The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.
We start by looking for common factors among the coefficients of the three terms:
45x³ + 198x² + 189x
= 9x (5x² + 22x + 21)
Now we can factor the quadratic expression inside the parentheses:
5x² + 22x + 21
= 5x² + 15x + 7x + 21
= 5x(x + 3) + 7(x + 3)
= (5x + 7) (x + 3)
The volume expression can be factored as:
45x³ + 198x² + 189x
= 9x (5x + 7) (x + 3)
Thus,
The possible dimensions of the prism are:
Length: 9x, 5x + 7, or x + 3
Width: 5x + 7, x + 3, or 9x
Height: x + 3, 9x, or 5x + 7
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Help me solve this problem...
Answer:
x=-4
Step-by-step explanation:
Divide both sides by 1/4
[tex]\frac{1}{4\\}[/tex](x+12)=2 (2 divided by 1/4 =8)
(x+12)=8
Subtract 12 from both sides
x=-4 (parenthesis disappears after 12 is subtracted)
Explain what the slope and intercept mean in the situation.
The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is and the y-intercept is 8.
Answer:
y=1/4x+8
Step-by-step explanation:
There was $8 in the box initially
4 tickets cost $1
Hope this helps have a great day
(P.S. I have the answer sheet if u need it)
which expression represents purely real numbers and which expression represents non-real complex number?
Incomplete question. However, I provided some explanation about non-real complex numbers.
Explanation:
In Mathematics, the term complex numbers (non-real complex numbers) in simple terms refers to numbers that containing an imaginary addition to it.
For example, the numbers 3i, 3 + 5i, 3i/4 are non-real numbers because of the addition of an imaginary part which is denoted by 'i'.
While real numbers, on the other hand, are numbers that do not include an imaginary part; they stand on their own, such as whole numbers 0, 1, 2, 3, etc, rational numbers like 3/4, etc.
The value of the x-intercept for the graph of 5x-2y=10
Answer:
2
Step-by-step explanation:
for the x-intercep put y=0 then you solve for x
whats 5768 x 2389=???????????
Answer:13,779,752
Step-by-step explanation:
If the temperature drops 5 degrees every hour for 9 hours, which integer represents the change in temperature?
Answer:
-45
Step-by-step explanation:
After 9 hours of the temperature dropping by 5 degrees, the temperature drops a total of 45 degrees. x=9 -5x
-5x9=-45
IT is found that after 9 hours of the temperature dropping by 5 degrees, the temperature drops a total of 45 degrees.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
IT is found that after 9 hours of the temperature dropping by 5 degrees, the temperature drops a total of 45 degrees.
Therefore the integer represents the change in temperature.
Then, the temperature will be;
x=9
Temperature = -5x
-5x9=-45
IT is found that after 9 hours of the temperature dropping by 5 degrees, the temperature drops a total of 45 degrees.
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Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.
Answer:
50
Step-by-step explanation:
because 250 g = 20 cookies
500g = 40 cookies
625 = 50 cookies
120 g = 20 cookies
240 g = 40 cookies
360 g = 60 cookies
but you only able to make 50 from butter so the answer is 50
Pls help I will give 22 points :(((
can someone help me plz i give you a barinlist
Answer: a 6= 1/6 about 16%
a 5 = 1/6 about 16%
an odd number = 50% 3/6
Step-by-step explanation:
Can somebody plz help answer all the questions correctly!!! thx (Grade7math) btw :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Answer:
a) 7:4
b) 6:3
c) 4:2
d) 6:2
e) 4:3
f) 4:4
Step-by-step explanation:
Determine the number of consonants and vowels, then turn them into ratios.
(-10 divided 5) + -5 =
Answer:
-7
Step-by-step explanation:
-10÷5= -2
-2+-5= -7
So Answer is (-7)
Slove the Parenthesis ( ) and then when you get the Answer slove it with what is on the outside and then you will have your Answer.
Hope this helps
what is the slope of the line?
Answer:
-2
Step-by-step explanation:
BTW, maybe this would help:
1. Pick two points on the line and determine their coordinates.
2. Determine the difference in y-coordinates of these two points (rise).
3. Determine the difference in x-coordinates for these two points (run).
4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Hope it helps! ;)
Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
a) 7/10
b) 2/5
c) 5/7
d) 2/7
pls help
Answer:
3/5
Step-by-step explanation:
Order from greatest to least.
0.386,0.3,0.683,0.836
Answer:
Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Step-by-step explanation:
Given : 0.386; 0.3; 0.683; 0.836.
To find : which Is greatest to least.
Solution :" We have given 0.386; 0.3; 0.683; 0.836.
In 0.386
Tenth place is 3 and hundredth place is 8
In 0.3
Tenth place is 3 and hundredth place 0
In 0.683
Tenth place is 6 and hundredth place 8
In 0.836.
Tenth place is 8 and hundredth place 3.
So, Greatest number is 0.836 ,
Least number is 0.3.
Therefore, Greatest to least is 0.836 , 0.683, 0.386 , 0.3.
Answer:
0.836,0.683,0.386,0.300
Step-by-step explanation:
Cause the closest decimal to one was the 0.836 the you can just go down for there
Solve the following:
a.) X^2 - 2x – 24 = 0
b.) x^2 - 11x + 18 =0
Answer:
The answer for the first equation is,
X = 6, -4
The answer for second equation is,
X = 9,2
a.) X^2 - 2x – 24 = 0
x^2-6x+4x-24=0
this is expressing negative 2x as the sum of two terms which are negative 6x and positive 4x
x(x-6)+4(x-6)=0
(x+4)(x-6)=0
(x+4)=0. so x=-4
(x-6)=0 so x=6
b.) x^2 - 11x + 18 =0
and now ASAPsience presents 4000 digits of pi
3. 141592653589793238462643383279502884197169399375105 82097494459230781640628620899862803482534211706798 21480865132823066470938446095505822317253594081284 81117450284102701938521105559644622948954930381964 42881097566593344612847564823378678316527120190914 56485669234603486104543266482133936072602491412737 24587006606315588174881520920962829254091715364367 89259036001133053054882046652138414695194151160943 30572703657595919530921861173819326117931051185480 74462379962749567351885752724891227938183011949129 83367336244065664308602139494639522473719070217986 09437027705392171762931767523846748184676694051320 00568127145263560827785771342757789609173637178721 46844090122495343014654958537105079227968925892354 20199561121290219608640344181598136297747713099605 18707211349999998372978049951059731732816096318595 02445945534690830264252230825334468503526193118817 10100031378387528865875332083814206171776691473035 98253490428755468731159562863882353787593751957781 85778053217122680661300192787661119590921642019893 80952572010654858632788659361533818279682303019520 35301852968995773622599413891249721775283479131515 57485724245415069595082953311686172785588907509838 17546374649393192550604009277016711390098488240128 58361603563707660104710181942955596198946767837449 44825537977472684710404753464620804668425906949129 33136770289891521047521620569660240580381501935112 53382430035587640247496473263914199272604269922796 78235478163600934172164121992458631503028618297455 57067498385054945885869269956909272107975093029553 21165344987202755960236480665499119881834797753566 36980742654252786255181841757467289097777279380008 16470600161452491921732172147723501414419735685481 61361157352552133475741849468438523323907394143334 54776241686251898356948556209921922218427255025425 68876717904946016534668049886272327917860857843838 27967976681454100953883786360950680064225125205117 39298489608412848862694560424196528502221066118630 67442786220391949450471237137869609563643719172874 67764657573962413890865832645995813390478027590099 46576407895126946839835259570982582262052248940772 67194782684826014769909026401363944374553050682034 96252451749399651431429809190659250937221696461515 70985838741059788595977297549893016175392846813826 86838689427741559918559252459539594310499725246808 45987273644695848653836736222626099124608051243884 39045124413654976278079771569143599770012961608944 16948685558484063534220722258284886481584560285060 16842739452267467678895252138522549954666727823986 45659611635488623057745649803559363456817432411251 50760694794510965960940252288797108931456691368672 28748940560101503308617928680920874760917824938589 00971490967598526136554978189312978482168299894872 26588048575640142704775551323796414515237462343645 42858444795265867821051141354735739523113427166102 13596953623144295248493718711014576540359027993440 37420073105785390621983874478084784896833214457138 68751943506430218453191048481005370614680674919278 19119793995206141966342875444064374512371819217999 83910159195618146751426912397489409071864942319615 67945208095146550225231603881930142093762137855956 63893778708303906979207734672218256259966150142150 30680384477345492026054146659252014974428507325186 66002132434088190710486331734649651453905796268561 00550810665879699816357473638405257145910289706414 01109712062804390397595156771577004203378699360072 30558763176359421873125147120532928191826186125867 32157919841484882916447060957527069572209175671167 22910981690915280173506712748583222871835209353965 72512108357915136988209144421006751033467110314126 71113699086585163983150197016515116851714376576183 51556508849099898599823873455283316355076479185358 93226185489632132933089857064204675259070915481416 54985946163718027098199430992448895757128289059232 33260972997120844335732654893823911932597463667305 83604142813883032038249037589852437441702913276561 80937734440307074692112019130203303801976211011004 49293215160842444859637669838952286847831235526582 13144957685726243344189303968642624341077322697802 80731891544110104468232527162010526522721116603966 65573092547110557853763466820653109896526918620564 76931257058635662018558100729360659876486117910453 34885034611365768675324944166803962657978771855608 45529654126654085306143444318586769751456614068007 00237877659134401712749470420562230538994561314071 12700040785473326993908145466464588079727082668306 34328587856983052358089330657574067954571637752542 02114955761581400250126228594130216471550979259230 99079654737612551765675135751782966645477917450112 99614890304639947132962107340437518957359614589019 38971311179042978285647503203198691514028708085990 48010941214722131794764777262241425485454033215718 53061422881375850430633217518297986622371721591607
What is the inverse function of f(x) = 7"Z?
2+1
Answer:
its d
Step-by-step explanation:
I need help on this question
Answer:
uh i donno sorry i mean i probly cant figure it out sence i havent learnd that yet sorry
An equation is shown below:
3 over 2 multiplied by x plus 7 over 2 equals 2 to the power of x
What is the solution to the equation? (4 points)
x = 1
x = 3
x = 5
x = 8
Answer:
it is 3
Step-by-step explanation:
the person who said -1 is completely is wrong
What is
-2 6/7 - (5/14) simplified
Answer:
Exact Form:
-45/14
Decimal Form: -3.21428571
…
Mixed Number Form:
−
-3 3/14
-
Which of the following statements is NOT a property of parallelograms?
1. Opposite angles are congruent.
2. Opposite sides are congruent
3. All angles are right angles.
4. Consecutive angles are supplementary.
Answer:
3
Step-by-step explanation:
took the test
also parallelograms are the slanted ones so they dont always have the 90 degree angles.
The non-necessary property of a parallelogram is All angles are right angles.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
GIven that, what can not be a property of parallelograms
All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.
Hence, the non-necessary property of a parallelogram is All angles are right angles.
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2x+2y=10
x=1
solve by substitution
Answer:
x = 1 and y = 4
Step-by-step explanation:
2 * 1 + 2y = 10
2 + 2y = 10
2y = 10-2
2y = 8
y = 4
NEED HELP PLEASE PLEASE
Please answer!! It's in the exam I'm taking!! The first correct answer gets brainliest
simplify that expression pls
The perimeter of a regular octagon is 48 cm. If a larger, similar octagon is drawn with a side length ratio of 3:2 to the original octagon, what is the perimeter of the larger octagon?
Select one:
A. 48
B. 52
C. 56
D. 72
Calcium carbonate (CaCO3) is considered a compound because it is made up of two or more
Answer:
Calcium carbonate is considered a compound because it is made up of two or more elements. *The elements are carbon, oxygen, and calcium.-Just incase you needed them.*
Step-by-step explanation:
PLEASE LMK IF I WAS RIGHT OR WRONG!!
Hopefully I was right and it helped.
Calcium carbonate (CaCO₃) is considered a compound because it is made up of two or more elements. These elements are calcium, carbon, and oxygen.
What are compounds?A compound is a substance created by the chemical fusion of two or more elements. Covalent bonds and ionic bonds are two typical forms of bonds that hold components in a compound together. Any compound will always include each ingredient in a specific ratio.
Chemical elements are uncontaminated by impurities or other elements and are pure substances made up of just one type of atom. They are found in the crust of the earth. Calcium carbonate is an inorganic chemical compound.
Therefore, since calcium carbonate (CaCO3) contains two or more different elements, it is regarded as a compound. These are carbon, calcium, and oxygen.
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Sue has 20 biscuits in a tin There are 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes at 2 random biscuits from the tin Work out the probability that the 2 biscuits were not the same time
Answer:
111 / 190
Step-by-step explanation:
Total biscuits = 20
Plain, P = 12
Chocolate, C = 5
Currant, K = 3
Assume without replacement :
Probability that biscuit are of the same type :
P(plain) :
12 / 20 * 11 / 19 = 132 / 380
P(chocolate) :
5/ 20 * 4 / 19 = 20/ 380
P(currant) :
3/20 * 2 /19 = 6 / 380
Therefore,
Probability that biscuit is of the same type :
P(plain) + P(chocolate) + P(currant)
132/380 + 20/380 + 6/380
158 / 380 = 79 / 190
Therefore, probability that biscuit aren't of the same type :
1 - P(biscuit is of same type)
1 - 79/190
(190 - 79) / 190
111 / 190
write the in independent variable and the dependent and an equation pls help I will cash app you 20$
1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour.
2) The cost of a banquet at Jean’s Banquet Hall is $450 for the rental of the hall and $15 per guest.
3) An author earns a royalty of $1.25 for each book sold.
4) Marie has $500 in her bank account. Each week she plans to deposit $20.
5) Paul has $1500 in his bank account. Each week he withdraws $100.
6) The cost to cut a lawn is a flat fee of $5 plus $6.50 per hour.
7) The charge to walk a dog is $10/hour.
8) Hans Building supplies sells sand for $19/ton plus $25 for delivery.
Answer:
12345678910
Step-by-step explanat
