Y´+2xy=0 C(e) C(0)=10 y=C(x)

What is the discontinuity and zero of the function f(x) = 3x^2 + x - 4 / x-1

7nadin3 [17]

Ans: Option (1) Discontinuity at (1, 7), zero at ( negative four thirds , 0)

Explanation:
Given function:
$f(x) = \frac{3x^2 + x - 4}{x-1}$

Now if we plug in the x = 1, we would have discontinuity as function goes to infinity.

Now for f(1):
$f(x) = \frac{3x^2 + x - 4}{x-1} \\ f(x) = \frac{3x^2 + 4x - 3x - 4}{x-1} \\ f(x) = \frac{x(3x+4)-1(3x+4)}{x-1} \\ f(x) = \frac{(x-1)(3x+4)}{(x-1)} \\ f(x) = 3x+4 \\ now ~ insert ~ x=1: \\ f(1) = 3(1) + 4 = 7 \\ It~means~discontinuity~at~(1,7).\\ Now~let~us~find~zeros.\\ put~ f(x) = 3x+4 ~ equals~ to ~zero. \\ =\ \textgreater \ ~3x+4 = 0 \\ =\ \textgreater \ ~ x = \frac{-4}{3} \\ Hence~zeros=( \frac{-4}{3}, 0)$

5 0

3 years ago

PLEASE HELP kelly invested $1875 in a savings account which earns 3.35% interest compounded quarterly what will the account be w

attashe74 [19]

The account will be worth $2368.20 in 7 years.

The compound interest formula is

$A=p(1+\frac{r}{n})^{n\times t}$

where p is the principal invested, r is the interest rate as a decimal number, n is the number of times the interest is compounded yearly, and t is the amount of time.

3.35% = 3.35/100 = 0.0335.

Using our information, we have:
$A=1875(1+\frac{0.0335}{4})^{4*7}$

which comes out to $2368.20.

3 0

3 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test c

Alja [10]

As the question is unable to be understood/incomplete hence let's discuss the complete question (most probable question) and the answer for that.

Updated Question:

"A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100"

Answer:

Correct answer for this question is first option because it satisfies the first inequality but not the second one.

Step by Step Explanation:

$NO,\\4c+6a\leq 120\\ and\\4c+4a\leq 100$

First Inequality:

4(20)+6(6)≤120

80+36≤120

116≤120 ⇒ TRUE

Second Inequality:

4(20)+4(6)≤100

80+24≤100

104≤100 ⇒ FALSE

5 0

3 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = 1 + (n - 1) (-5.7)

OleMash [197]

Well the first term = 1 because (n - 1) = 0 for the first term
So its either A or D
4th term = 1 + (4 - 1)(-5.7 = 1 + 3*-5.7 = -17.1

Its C

8 0

3 years ago

Read 2 more answers

Brainliest if you finish fast and simple and if correct!!!!!!!!!

iren [92.7K]

Answer:

1. 8

2. 8 calories

3. 125 lb

Step-by-step explanation:

From inspection of the graphs

1. x ≥ 125 = 8

2. 8 calories

3. 125 lb

3 0

2 years ago

Read 2 more answers