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maxonik [38]
3 years ago
12

(6a³-3b³)(4a²+5b²) help me please

Mathematics
2 answers:
Anton [14]3 years ago
8 0
So what we're going to do here is FOIL (first, inner, outer, last):

(6 a^{3}*4 a^{2})+  (6 a^{3}*5 b^{2})+(-3 b^{3}* 4 a^{2})+(-3 b^{3}*5 b^{2})

When we multiply exponents, and they have the same base (for example both have a or both have b), we add them. Let's simplify this expression:

24 a^{5} +30 a^{3}  b^{2}+(-12 b^{3}  a^{2})+(-15 b^{5})

Which can be further simplified to:

24 a^{5} +30 a^{3} b^{2}-12 b^{3} a^{2}-15 b^{5}
Nat2105 [25]3 years ago
3 0
Send the question sentences.
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True or false question
Romashka [77]
The answer should be true
6 0
3 years ago
How do you do this??
Nana76 [90]

Answer:

A-2, B-5, C-1, D-6, E-3, F-4

Step-by-step explanation:

The A would be the function x^3, so it would be the volume of a cube which is #2

B is probably the temperature graph, because it is warmest in the middle of the day and cooler at both ends, so that is #5

C is probably the age of an oak tree because it starts at 0, and grows linearly. #1

E is #3 because it is decreasing and so is the fuel in the tank.

F is the area of a triangle one, because that would be a quadratic function (half of a parabola)#4

D is the car wash, it doesn't start at 0 because the x-axis is the time of day. #6




6 0
3 years ago
Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
Andrej [43]

Answer:

$13.67

Step-by-step explanation:

Let's say that CD= c and DVDs= d. Four CDs and 4 DVDs cost $164, so the equation will be:

i.  4c + 4d= 164

The cost of the 4 CDs is half the cost of the  4 DVDs, to put into an equation it will be:

ii.   4c= 0.5(4d)

     4c= 2d

     d= 2c

Then we can substitute the second equation (ii) into the first equation (i). The calculation will be:

4c + 4d= 164

4c + 4(2c)= 164

4c+ 8c= 164

12c= 164

c=13.67

The cost for each CD is $13.67

5 0
3 years ago
1/5 of the students at Kendall Middle School are in 6th grade. 3/7 of the students at Kendall Middle School are in 8th grade. Wh
ELEN [110]
13/35 because you have to find the common denominator which would be 35 and in order to get 7 to 35 you have to multiply the whole thing by 5 making the fraction equal 15/35 and you have to multiply the other fraction by 7 making it 7/35 add the two together which would equal 22/35 so to make that 35/35 it would have to be 13/35 
4 0
3 years ago
In any function, f(x) = a(x-h)n + k , a negative leading coefficient means the graph is reflected. True or False
Temka [501]

Answer:

True

Step-by-step explanation:

For any function of the form f(x) = a(x-h) ^ n + k the coefficient a produces a reflection of the function whenever a.

We can verify it in the following way.

Take, for example, the function:

f(x) = 2(x-1) ^ 3

Now let's make f(2)

f(2) = 2(2-1)^3\\\\f(2) = 2

Now let's f(2) in the following function:

f(x) = -2(x-1)^3

We have:

f(2) = -2(2-1)^3\\\\f(2) = -2

We can see then that the function was reflected in the axis -y by placing a negative coefficient a.

You can see more examples in the attached images

Therefore we can conclude that the statement is true.

7 0
4 years ago
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