All categories

3 years ago

Item 6 Graph the solution of 4(7−x)<16.

Mathematics

1 answer:

LenKa [72]3 years ago

5 0

Answer:

x>3

Step-by-step explanation:

4 • (7 - x) - 16 < 0

3.1 Pull out like factors :

12 - 4x = -4 • (x - 3)

-4 • (x - 3) < 0

4.1 Divide both sides by -4

4.2 Add 3 to both sides

x > 3

4.3 Inequality plot for

-4.000 X + 12.000 > 0

You might be interested in

you find a mutual fund that offers approximately 7.5% APR compounded monthly you will invest enough each month to have 2000 at t

Nastasia [14]

Answer:

Assume you will invest fixed amount x at the starting of each month

S(12): (1.00625x)*(1.00625^(12)-1)/(1.00625-1) = 2000

x=160

you will invest fixed amount 160 at the starting of each month and get 2000 at the end of the year ,which compounded 7.5% monthly.

how much will you have invested at the end of the first year ?

160*12=1920

6 0

3 years ago

Read 2 more answers

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago

jason and his family travels 160 miles in 3.2 hours. if they continue at this constant speed, how long will it take them to trav

Misha Larkins [42]

Set up a proportion
160 mi/ 3.2 hrs ≈ 300 mi/x hrs
cross multiply and solve for x and you get x≈6
It will take them 6 hours

3 0

4 years ago

2. An exam readiness awareness taskforce at a Fremont National university sampled 200 students after the midterm to ask them whe

k0ka [10]

Answer:

c) (40+60+25)/200 or 63%

Step-by-step explanation:

n= 200 students

Did Well on the Midterm and Studied for the Midterm = 75

Did Well on the Midterm and Went Partying = 40

Did Poorly on the Midterm and Studied for the Midterm = 25

Did Poorly on the Midterm and Went Partying = 60

The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:

$N=(25+60)+(40+60) - 60\\N= 125$

The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:

$P = \frac{N}{n}=\frac{125}{200} = 0.63 = 63\%$

3 0

3 years ago

The side lengths of a triangle are 12, 14, and x units

Orlov [11]

Answer: x=14

Step-by-step explanation: have a good day

6 0

2 years ago