All categories

3 years ago

Unit three study guide

Mathematics

2 answers:

Softa [21]3 years ago

8 0

Study it! You will get good grades! Flash cards can help too

frutty [35]3 years ago

4 0

Study it! Flash cards are a good idea!

You might be interested in

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi

faust18 [17]

Answer:

4 (x + 7) = 8

Step-by-step explanation:

4 (x + 7) = 8 Because you add 7 to Amy's number then multiplied by 4 which equals 8

3 0

3 years ago

The Martins drove the 468 miles between Memphis, Tennessee and Cincinnati, Ohio in one day. If they left Memphis at 7 a.m. and a

saveliy_v [14]

52mph, depending what unit you need the answer in you may have to use conversions

4 0

3 years ago

Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

It cost $8.31 to power one laptop computer for one year. How much does it cost to power 10 for one week.

svp [43]

Answer:

$1.60

Step-by-step explanation:

1 year have 52 weeks.

8.31/52=0.16

0.16*10= 1.60

5 0

2 years ago

The length of an edge of a cube is 9 centimeters. What is the volume of the cube?

KATRIN_1 [288]

Answer:

729

Step-by-step explanation:

Volume of cube=a^3

Volume of cube=9^3=729

3 0

2 years ago

Read 2 more answers