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3 years ago

Which graph is the line y=-2/5x+3?

Mathematics

2 answers:

Mashcka [7]3 years ago

8 0

1st we should find the point where the line intersects with the axises
put x= 0 , so y= 3 ---- > the 1st point (0,3)
put y=0 , so x = 7.5 ----> the 2nd point (7.5,0)
so it's the first graph on the left

ehidna [41]3 years ago

3 0

We can start off by using process of elimination. There are only 2 graphs (the first one and last on as appeared on my screen) that can be correct since the others do not have a y-intercept of 3. Then, we can go to the next step which is determining the slope of the remaining lines. The first graph has a slope of -2/5 while the last one has a slope of 5/2. As a result, the first graph, or the graph that has the line with smallest slope showing in quadrant 1 and 2, is the graph of the line y=-2/5x+3.

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How many terms are in the arithmetic sequence 1313, 1616, 1919, ……, 7070, 7373?

Ede4ka [16]

The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.

an = 7373
a1 = 1313
d = 303

an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21

So, there are 21 terms in the sequence given.

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malfutka [58]

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Step-by-step explanation:

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3 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

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