What is the inequalities of 50 < 8 - 6x

Mathematics

1 answer:

astra-53 [7]3 years ago

6 0

50 < 8 - 6x
50 - 8 < 6x
42 < 6x
7 < x

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What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)} A.{2, 4} B.{1, 2, 3, 4, 6} C.{2, 4, 6} D.{1, 2, 3, 4}

tamaranim1 [39]

$(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\\\\(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= \frac{1}{3} x\ \ \ \Rightarrow\ \ \ Ans.\ B\\\\(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\\.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\\\\$

$(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\\.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\\\\(7)\ \ \ inversely:\ \ \ f(x)= \frac{a}{x} \ \ \ and\ \ \ f(2)=4\\.\ \ \ \Rightarrow\ \ \ 4= \frac{a}{2} \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= \frac{8}{x}\ \ \ \Rightarrow\ \ \ Ans.\ B$

5 0

4 years ago

Sixty students took a math test. The percentages of students who scored an A, B, C, or D are displayed in the circle graph, but

GarryVolchara [31]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please help with the question 2 to 18

vladimir1956 [14]

Since these questions all require similar methods of solving, I will only completely work out the first question of each type.

2. To find $\frac{7}{10}$ as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.

$\frac{7}{10}$ = 7 / 10 = 0.7

$\frac{7}{10}$ as a decimal is 0.7.

3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.

$\frac{13}{20} =0.65$

Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

0.65 = 65%

which is the answer to question 3.
$\frac{13}{20}$ written as a percent is 65%.

4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.

2%5 = $\frac{25}{100}$

Since 25 goes into 100 four times, we can simplify this fraction.

$\frac{25}{100} = \frac{1}{4}$

which is our answer.

25% written as a fraction is $\frac{1}{4}$ .

5. This is the same as problem 3, so I won't show my work for the sake of time.

$\frac{2}{5}$ as a percentage is 40%.

6. This is the same as problem 1, so I will not show steps again.

$\frac{3}{20}$ as a decimal is 0.15.

7. Done similar problems in past. No work shown.

$\frac{21}{50}$ as a percent is 42%.

8. Same as last problem.

$\frac{1}{25}$ as a percent is 4%.

9. Same as number 4.

6% as a fraction is $\frac{3}{50}$ .

10. Similar in past.

$\frac{3}{5}$ as a percentage is 60%.

11. Same as 6.

$\frac{12}{25}$ as a decimal is 0.48.

12. Done a lot of these so far.

$\frac{3}{10}$ as a percentage is 30%.

13. Just did one like this.

$\frac{3}{4}$ as a percentage is 75%.

14. Same as 4 and 9.

65% as a fraction is $\frac{13}{20}$ .

15. Plenty of these done in past.

$\frac{1}{5}$ as a percentage is 20%.

16. Last problem, and it's just like the one just before this.

$\frac{9}{10}$ written as a percent is 90%.

So there are the results.
Hope that helped! =)

6 0

3 years ago

Read 2 more answers

The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

romanna [79]

Answer:

Perimeter is irrational

Step-by-step explanation:

The attachment is missing but the question is still answerable

Given

$Area = 24200 yd^2$