Which matrix translates the vector 〈4,-3〉 to 〈6,-8〉?

If bob has five apples and he eats 2 how many does he have left

qwelly [4]

Answer:

3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

3 years ago

The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly paym

Alja [10]

Inga needs 3 more years to pay off the whole amount.

<h3>What is the monthly payment?</h3>

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76

Remaining balance after payment (5 years) = 6563.76-3281.99 = 3281.88

Remaining balance after payment (6 years) =3281.88-3281.88 = 0

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

brainly.com/question/26353929

7 0

2 years ago

I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.

tigry1 [53]

Answer:

Step-by-step explanation:

To change a decimal into a percent you multiply by 100.

If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5

6 0

3 years ago

Read 2 more answers

Use the number line below, where RS = 7y +3, ST = 5y +8, and RT = 83.

Llana [10]

Answer:

Step-by-step explanation:

Given the vectors based on the number line as RS = 7y +3, ST = 5y +8, and RT = 83, the equation RS+ST = RT will be used to get the unknown.

Substituting the given equation into the expression we will have;

7y +3+5y +8 = 83

collect like terms'

7y+5y+3+8 = 83

12y + 11 = 83

12y = 83-11

12y = 72

y = 72/12

y = 6

b) Substitute y = 6 into RS and ST

Given RS = 7y+3

RS = 7(6)+3

RS = 42+3

RS = 45

For ST;

ST = 5y+8

ST = 5(6)+8

ST = 30+8

ST = 38

6 0

4 years ago