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deff fn [24]
3 years ago
12

Solve. x/2 + 1/3 greater than 0

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

x > -2/3

Step-by-step explanation:

\frac{x}{2} +\frac{1}{3} > 0 , subtract 1/3 from both sides

\frac{x}{2}  > \frac{-1}{3} , multiply both sides by 2

x >  \frac{-2}{3}

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What is the discontinuity and zero of the function
lukranit [14]
The discontinuity are the point wherein the function is not defined. 
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set x-1=0 then the discontinuity point is at x=1.
Comptine the zeroes:
Set 3x^2+x-4=0
Compute the discriminant: 1^2-4(3)(-4)=49=7^2.
Then with quadratic formula we get the solutions:
(-1-7)/6=-8/6\\(-1+7)/6=1
The two zeros are \dfrac{-8}{6},1
7 0
3 years ago
I need some help on this problem, please. Thank you. Picture attached
Nonamiya [84]
The answer is the second one...

f(x) = √(x + 2)

notice that when x = -2 (as we can see on the diagram, y will be equal to 0.

√(-2 +2) = √(0) = 0


Follow my account. (:
5 0
3 years ago
PLEASE HELP. WILL GIVE BRAINIEST AND 60 POINTS if you show work so I can understand these.
vitfil [10]

1) use change in y/change in x to find the slope from two points:

change in y: 5-2=3

change in x: 0-(-1)=1

3/1=3 is your slope


2) if it is a direct variation, you know as x increases, y increases, both at constant rates

since y is 10 more than x in the example, it will always be 10 more than x

y=x+10 is your equation.

when x=9, y=19

now they could not be reffering to their difference in addition, but their difference in multiplication. In that case, y is 3 times x in the example, so it will always be 3 times x

y=3x is your equation

when x=9, y=27


3) the slope of this line is determined by change in y over change in x:

change in y: 4-4=0

you don't need to calculate the change in x because 0 divided by anything is 0, so that is your slope.

y=0x+b

4=0(1)+b

4=0+b

4=b

y=4 is your equation because 0 times x is zero. this means that it is a horizontal line with a constant y value of 4


4)

y - value of y in a point =slope (x - value of x in a point)

y-(-1)=2/3 * (x-(-3))

y+1=2/3x+2/3(3)

y+1= 2/3x+2

y=2/3x+1

from solving point slope form, you can get to slope intercept form


5) not sure what this question is asking for

- a line?

- an expression equivalent to -1 and 2/3?

both of those aren't possible with the information given


6) parallel means same slope different y intercept

y=5x+b

-1=5(2)+b

-1=10+b

-11=b

y=5x-11

7 0
3 years ago
I know the answer but I need the angle name pls hurry
Aloiza [94]

Answer:

S

angle S would also be an obtuse angle measuring 118°

corresponding angle

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
An adult’s body has 206 bones. Of these, 106 are in the feet, ankle, wrists, and hands. What fraction of an adult’s bones are in
NemiM [27]
Hey. Let me help you on this question.

In order for us to solve this question, we might need to look into it more in depth, and sort the information. It will help us organize our thoughts.

Adult's body has 206 bones. 106 are located in the feet, ankles, wrists, and hands. Let's form a ratio that we can later simplify.

\frac{106}{206}

As you can see, we have 106 bones that are located in the feet, ankles, wrists, and hands over the total amount of bones in the adult's body.

Question asks us to give ratio's simplest form, and in order for us to simplify it, we need to find the greatest common divisor, or GCD for short. <span>GCD is largest integer number that divides the given numbers.

In order for us to find it, we need to find a number that we can multiply the given numbers with in order to make them equal. 

106 can be multiplied by two to make 206, and this is the highest number we can multiply it by in order to get both equivalent numbers.

Our next step is to divide both of these numbers by two, and plug them in the ratio.

</span>\frac{106}{206} /2= \frac{53}{103}
<span>
Done. We have reached the simplest form of this ratio, and dividing it further will not grant us a simpler form.

Answer: \frac{53}{103} is the ratio between 106 bones found in the feet, ankles, wrists and hands over 206 amount of total bones found in the body.
</span>
7 0
4 years ago
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