Ask question

Ask question

All categories

2 years ago

10

If x=9 and y=−3, evaluate the following expression:4/x−yGive your answer as a fraction in its simplest form.

2 answers:

nikitadnepr [17]2 years ago

7 0

Answer:

Step-by-step explanation:

i did you go with me to my car to see what i is doing with the kids to get my car and then i and brown and i will get back with green tea haha for a few hours to go and then joke

qwelly [4]2 years ago

6 0

Answer:1/3
4/9-(-3)=4/12=
1/3

You might be interested in

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +

timama [110]

Looks like your function is

$f(x)=\dfrac x{6x^2+1}$

Rewrite it as

$f(x)=\dfrac x{1-(-6x^2)}$

Recall that for $|x|$ , we have

$\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

If we replace $x$ with $-6x^2$ , we get

$f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}$

By the ratio test, the series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2$

Solving for $x$ gives the interval of convergence,

$|x|^2$

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0

2 years ago

Pythagorean Theorem:a2 + b2 = c2 Re−write the formula solving for b2 .

gulaghasi [49]

Answer: c2 - a2 = b2

Step-by-step explanation: to isolate b2 you have to subtract a2 from both sides to get c2 - a2 = b2

6 0

2 years ago

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard

Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : $\mu=\text{38.7 miles }$

Standard deviation : $\sigma=\text{6.7 miles }$

Sample size : $n=60$

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=32.5

$\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93$

For x=40.5

$\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27$

The p-value = $P(-0.93$

$=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302$

Hence, the required probability :-0.4302

3 0

2 years ago

A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles.

PIT_PIT [208]

Answer:

$\frac{4}{15}$ of a gallon per bottle

Step-by-step explanation:

1 - $\frac{1}{5}$ = $\frac{4}{5}$

$\frac{4}{5}$ / 3 = $\frac{4}{5}$ x $\frac{1}{3}$ = $\frac{4}{15}$

5 0

2 years ago

Elijah ran around the quarter mile track at the school seven times. Approximately how many kilometers is this?

Ivan

I would say the answer is C

3 0

2 years ago