Answer:
-2a³+9a²+45a+6ab²+18b²
Step-by-step explanation:
(a+3)(-2a²+15a+6b²)
Distribute the a:
-2a³+15a²+6ab²
Then distribute the 3:
-6a²+45a+18b²
Now add both of the results together:
-2a³+15a²+6ab²-6a²+45a+18b²
Combine like terms:
-2a³+9a²+45a+6ab²+18b²
Answer:
(c) −2a^3+9a^2+45a+6ab^2+18b^2
Step-by-step explanation:
Examination of the answer choices shows us we only need to be concerned with the a^2 term and the b^2 term.
The a^2 term will be the sum of products ...
3(-2a^2) +a(15a) = (-6 +15)a^2 = +9a^2
The b^2 term will be the product ...
3(6b^2) = 18b^2
These terms are sufficient to identify choice C as the correct answer choice.
_____
Additional comment
It can often work well to develop the product of polynomials by considering the terms that must contribute to a given product term. For a term containing a^2, the product of polynomial terms can have that degree if and only if it is the product of a constant and an a^2 term, or the product of two a^1 terms. The ways those products can be achieved are shown in the above working.
Classify the following into monomials, binomial and trinomials.
(i)-6
(ii) -5 + x
(iii) 32x-y
(iv) 6x² + 5x - 3
(v) z² +2
Answers
monomialbinomialbinomialtrinomialbinomialHope you could understand.
If you have any query, feel free to ask.
What is the mass of a copper (II) chloride sample if it contains 0.0344 moles of the compound?
According to the valence number of copper(2+) and the same value for chlorine (1-) copper (II) chloride has the formula of CuCl2
The molar mass of copper is 0,0635 kg/mole and chlorine gas a molar mass of 0,035 kg/mole the compound will have a molar mass of ( 0,0635+2×0,035 )kg/mole=0,099kg/mole and 0,344 moles are equivalent in mass to 0,344×0,135 kg=0,046 kg
Question On Pic Thx!
Answer:
27
Step-by-step explanation:
volume is base times height so it is 3x3x3 and that is 27
Evaluate 6ᵗʷᵒ – (9 ÷ x) when x = 3.
Answer:
B. 33
Step-by-step explanation:
36 - (9/ 3)
36 - 3
33
plz answer this question plz
Answer:
b) 10 minutes
Step-by-step explanation:
Ajay's total travel time is the time on the road plus the time stopped.
A = (300 km)/(60 km/h) + 1 h + 20 min = 6 h + 20 min
Vijay's total travel time is similarly computed:
V = (300 km)/(50 km/h) + 30 min = 6 h + 30 min
Vijay will arrive 10 minutes after Ajay arrives.
_____
Additional comment
The relationship between time, speed, and distance is ...
time = distance / speed
find the product and simplify 4n^4(7n^3-5n+5)
Answer:
2 8 ^7 − 2 0 ^5 + 2 0 ^ 4
Step-by-step explanation:
Convert the following fraction into a decimal.
The fraction is 21/40.
Upload/attach a picture of your working out on paper from your computer.
Answer:
21/40 as a decimal is 0.525
Step-by-step explanation:
need help on this please
Answer:
V=4180
volume = length x width x height
Answer:
4,180 in³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = l * w * h
We can replace those variables with 19, 20, and 11 respectively
(l) length = 19
(w) width = 20
(h) height = 11
V = 19 * 20 * 11
V = 380 * 11
V = 4180
The units are in³ because you are multiplying in * in * in = in² * in = in³
V = 4,180 in³
-Chetan K
Write 125 as a power using the number five as the base I’m looking for the answer
Answer:
5³
Step-by-step explanation:
5*5*5=125
please help !!!
find the value of x
Answer:
answer = 100 X100 - 25 X 25 = x
10000 - 625 = x
Find the sum of the first 7 terms of the
following sequence.
Round to the nearest
hundredth if necessary.
6,-10 ,50/3
Sum of a finite geometric series:
sn = a1-a1rn /1-r
Answer:
20078/243
Step-by-step explanation:
sn = a1-a1r^n/1-r
sn = a1 * 1-r^n/1-r
s7 = 6 * 1 - (-5/3)^7/1-(-5/3)
s7 = 6 * 10039/729
s7 = 6 * 10039/243*3
s7 = 2 * 10039/243
s7 = 20078/243
16. Petra and Peter were playing a game. Petra was counting by 9s. Peter was counting by 4s. They paced the counting so that they would say the first common number together. What is the first number that both said together?
Answer:
36
Step-by-step explanation:
One number is 15 less than another number. If the sum of the two numbers is 83, find the two numbers
Please help me. I need help
Answer:
100x +150y ≤ 1200
Step-by-step explanation:
The amount Isabel will spend on 5 oz cups is 100x. The amount she will spend on 8 oz cups is 150x. In order to stay within her budget she must have the total be less than or equal to the budget amount:
100x +150y ≤ 1200
help
in help inmath pls math is hard
Answer:
-2
Step-by-step explanation:
The range is the set of y-coordinates.
The lowest value vertically is -2 at the point (3, -2), so the lowest value of the range is -2.
Answer: -2 I believe
Explanation: Please don't hate or throw shade
Does the table show evidence of an association
between not taking piano lessons and not attending an
Ivy League school?
Answer:
Does the table show evidence of an association between not taking piano lessons and not attending an Ivy League school? From the table, the joint relative frequency for people who did not take piano lessons and who did not attend an Ivy League school is the greatest
g ). Here is a list of numbers: 14, 11, 18, 11, 19, 13, 11, 8, 2, 10 State the median.
Answer:
11 you have to put the numbers in order and then if there is an even amount then the middle two numbers you add them and then divide by 2
Answer:
The median is 11
Step-by-step explanation:
1. You have to arrange the numbers from smallest to largest
2, 8, 10, 11, 11, 11, 13, 14, 18, 19
2. If the number of data points is odd, the median is the middle data point in the list. But since this number of data points is even, the median is the average of the two middle data points in the list.
So you would add the two numbers that are in middle, in this case they're both 11
11 + 11 = 22
22 divided by 2 = 11
Hope this helps :)
classify the polynomial 24 by degree and number of terms
Answer:
Zeroth-degree monomial
Step-by-step explanation:
Because the given polynomial is a constant, the monomial degree is 0.
How many Milla amps are in 255watts?
Answer:
255000
Step-by-step explanation:
255watts in milli-amps
=255000
1 watts/volt = 1000 milliamperes
Hopefully this helped- have a good day)
.
North
A, B, C and D are four towns.
B is 30 kilometres due East of A.
C is 30 kilometres due North of A.
D is 45 kilometres due South of A.
a) Work out the bearing of B from C.
се
SU
b) Calculate the bearing of D from B.
А.
B
+
You can put numbers in the boxes to help work out
your answers but no marks will be given for them
Answer:
135
Step-by-step explanation:
Guys I need help with part b what’s the right answer and explain please
It’s D.
Explanation:
First we have to know how many 24’s are there in 672 (because for every 24 cans, $15 would be donated) So you divide 672 divided by 24 which is 28. That means she donated 28 x 15. That ends up being 420 (D).
Hope this helps
what is the measure of m
Answer:
m = 4√6Step-by-step explanation:
From the similarity of smaller triangles we get:
n/8 = 4/n ⇒ n² = 8*4 ⇒ n² = 32Use Pythagorean to find the length of m:
m² = 8² + n²m² = 64 + 32m² = 96m = √96m = 4√6Please help. The question is in the picture
Answer:
[tex]f(x) = {3}^{x + 4} \\ f(2) = {3}^{2 + 4} \\f(2) = {3}^{6} \\ f(2) = 729 [/tex]
Choose all fractions equivalent to each given fraction.
Answer:
A. Fractions 1 and 4
B. Fractions 1, 2, and 3
Step-by-step explanation:
A negative divided by a positive is a negative.
A positive divided by a negative is a negative.
If the negative symbol is in line with the fraction bar, it is still a negative.
Help me pleaseee please please please
Step-by-step explanation:
it is the second one -4(3_8×)
Please help with question 1
Answer:
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
When a polynomial has a zero (p, 0), it has a factor (x -p).
The given zeros mean the factored form of the equation will be ...
y = a(x -2)(x +6)
The given point will mean the value of 'a' will satisfy ...
(x, y) = (3, 5)
5 = a(3 -2)(3 +6) = 9a
a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'
The factored equation is ...
y = (5/9)(x -2)(x +6)
write an equation in slope intercept form for the line with slope -3 and y-intercept -1
Answer:
y = -3x -1
Step-by-step explanation:
Slope intercept form is y=mx+b or y=mx-b
m is the slope (steepness of the line, think of a steep or level mountain)
b is the y-intercept (the place where the line FIRST meets the y-axis a.k.a. the vertical line down the middle of a graph.)
y= -3x -1
means your line is going downhill, and it crosses the y-axis at -1.
If you need any help graphing refer to Desmos Graphing Calcuator (it's free and online.)
If you need me to explain anything, feel free to ask me in the comments. I know mathematics can be worrisome, but I am here to help!
Thanks, buddy
- throckmorton
[tex] \footnotesize \rm Find \: the \: lower \: limit \: of \: x \: in \: the \: triple \: integral \\ \footnotesize {{{ \displaystyle \rm { \iiint_D}}}} \rm f(x,y,z) \: dV \: if \: D \: is \: solid \: bounded \\ \footnotesize \rm z=4-y, z=y-6 \: and \: y=x², taking \: the \\ \footnotesize \rm the \: order \: of \: integration \: as \: dzdydx.[/tex]
The integral with the prescribed order of integration would be
[tex]\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-\sqrt5}^{\sqrt5} \int_{x^2}^5 \int_{4-y}^{y-6} f(x,y,z) \, dz \, dy \, dx[/tex]
• z is bounded between two planes, z = 4 - y and z = y - 6. These planes meet in a line with coordinates y = 5 and z = -1. Deciding which plane lies above the other comes down to checking the value of z for some y-coordinate of any point that we know belongs to D. The parabolic face y = x² contains the origin (0, 0, 0), so we know there are points in D with y-coordinate = 0. When y = 0,
z = 4 - y = 4
z = y - 6 = -6
and this tells us that 4 - y is the "upper" plane.
• y is bounded between the parabolic cylinder y = x² and the plane y = 5, which we determined earlier when finding where the two planes intersect. This also tells us that 0 ≤ y ≤ 5 for any point in D.
• x is bounded between -√5 and +√5, since at most y = 5, so that
y = 5 = x² ⇒ x = ±√5
The equation, y=-1/3x+4 is graphed below. Which of the following equations and accompanying justifications correctly represents a line that is parallel to that equation?
Answer:
I don't see a graph but i tried my best to answer
Step-by-step explanation:
I put the number down below and you can draw the graph <3
Slope: -1/3
Y- intercept (0,4)
X = 0, 3
Y = 4, 3
Hopefully this helps<3
6x+1.6=58 subtraction property of equality
Answer:
x=9.4
Step-by-step explanation:
6x+1.6=58
-1.6 -1.6 *subtraction property of equality*
6x=56.4
/6 /6
x=9.4
