All categories

2 years ago

Which values are in the solution set of the inequality -23x+13>-1

Mathematics

2 answers:

stepan [7]2 years ago

8 0

Answer:

x ≤ 14/23
or
x = ( -oo, 14/23]

Step-by-step explanation:

<u>Solving is steps</u>

-23x + 13 ≥ -1 ⇒ add -13 to both sides
-23x ≥ - 1 - 13
-23x ≥ - 14 ⇒ divide both sides by - 23, inequality sign reverses
x ≤ 14/23 ⇒ answer

x = ( -oo, 14/23] ⇒ answer as set

Alex_Xolod [135]2 years ago

5 0

please be more specific

You might be interested in

Janet bought4/5 of a pound of walnuts. Her family ate 1/3 of a pound. How much is left?

Serga [27]

this just wants us to calculate 4/5-1/3

make common denom

4/5 times 3/3=12/15

1/3 times 5/5=5/15

4/5-1/3=12/15-5/15=(12-5)/15=7/15

7/15lb is left

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id

dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0

2 years ago

A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Freq

Yakvenalex [24]

Answer:

Cats Owned B. 2 3

Hope I helped! :)

8 0

2 years ago

A store that sells skis buys them from a manufacturer at a wholesale price of $60. The store's markup rate is 50%. What price do

horsena [70]

Answer:

$90

Step-by-step explanation:

To solve this problem, you simply multiply $60 by 50%. Remember to change 50% into its decimal form (50% -> 0.5).

60 x 0.5 = 30

Now we add 30 to the original price of $60 to get our final answer.

$60 + 30 = $90

3 0

2 years ago

solve this system of linear equations. Separate the X- and Y- values with a comma. -9x+2y=-16 19x+3y=41

Serjik [45]

Answer:

(2, 1)

Step-by-step explanation:

The best way to do this to avoid tedious fractions is to use the addition method (sometimes called the elimination method). We will work to eliminate one of the variables. Since the y values are smaller, let's work to get rid of those. That means we have to have a positive and a negative of the same number so they cancel each other out. We have a 2y and a 3y. The LCM of those numbers is 6, so we will multiply the first equation by a 3 and the second one by a 2. BUT they have to cancel out, so one of those multipliers will have to be negative. I made the 2 negative. Multiplying in the 3 and the -2:

3(-9x + 2y = -16)--> -27x + 6y = -48

-2(19x + 3y = 41)--> -38x - 6y = -82

Now you can see that the 6y and the -6y cancel each other out, leaving us to do the addition of what's left:

-65x = -130 so

x = 2

Now we will go back to either one of the original equations and sub in a 2 for x to solve for y:

19(2) + 3y = 41 so

38 + 3y = 41 and

3y = 3. Therefore,

y = 1

The solution set then is (2, 1)

6 0

2 years ago

Read 2 more answers