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Fed [463]
3 years ago
9

Simplify the product

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

How to get answer:

((-2a^2)(b))(9a^5b^3-4ab^5)

=((-2a^2)(b))(9a^5b^3+-4ab^5)

=((-2a^2)(b))(9a^5b^3)+((-2a^2)(b))(-4ab^5)

Answer: =-18a^7b^4+8a^3b^6

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Can someone please help me.
Art [367]

I will give you everything I can do:

11)

Lets say Car A travels at x mph. That means Car B travels at x+2 mph.

Both of them are traveling towards each others, so we can say the total speed is 2x+2.

Now i takes 3 hrs and we know the distance.

Since R*T=D

Then 3(2x+2)=270

So 2x+2=90

2x=88

x=44

12)

To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.

Now we must find the equation of the line with the given variable.

First find b.

5=3/2*4+b

b = -1

So the equation of this line is:

y=3/2x-1

13) All work will be shown below.

6-3(-2-4x)=2(3(x-4)+7)

6+6+12x=2(3x-12+7)

12+12x=2(3x-5)

12+12x=6x-10

6x=-2

x = -1/3

14)

First we must find the amount each train traveled.

The speed of F train(Freight train)=x

The speed of P train(passenger train)=x+6

Their combined speed is 2x+6

It takes 2 hrs to cover 100 miles

So 2(2x+6)=100

2x+6=50

2x=44

x=22

So the freight train covered 44 miles and the passenger train covered 56 miles.

To find average speed you must do Total Distance/Total Time.

44/2 and 56/2

Which are 22 and 28.

The average speed of F train is 22 mph and average speed of P train is 28 mph.

15) Again opposite reciprocal.

3/5 -> -5/3

Work:

-4=-3*-5/3+b

-4=5+b

b=-9

y = -5/3x-9

16)

F=kx-kx0

First kx0 = 0

So F=kx

So x=F/k

4 0
3 years ago
Find the average rate of change of f(x) = x over the interval [-10, -8]. Write your answer as an integer, fraction, or decimal r
Inessa [10]

Answer:

2

Step-by-step explanation:

7 0
1 year ago
Richard is $15 overdrawn on his checking account. He writes a check for $7. What is the balance in his checking account now?​
Annette [7]
Since he’s already at -15, if he writes a check for 7 then he’s subtracting more from his account.
So, -15-7=-22
5 0
3 years ago
Find the volume. Round to the nearest tenth.​
sergey [27]

Answer:

a

Step-by-step explanation:

volume of cuboid = 8* 8 *23

volume of cylinder = pi * 4^2 r* 23

total colume = 2628.11

3 0
3 years ago
Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the answer to two decimal places.)
svlad2 [7]

Answer:

a) integral = 24.72

b) |Error| ≤ 0.4267

Step-by-step explanation:

a)

The integral:

\int_{0}^{3.2} f(x) dx

can be  approximated with the midpoint rule, as follows:

6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72

(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)

b)The error bound for the midpoint rule with <em>n</em> points is:

|Error| ≤ K*(b - a)^3/(24*n^2)

where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|

Given that -5 ≤ f''(x) ≤ 1, then K = 5.  Replacing into the equation:

|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267

5 0
3 years ago
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