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Veronika [31]
3 years ago
12

Write an equation for the line, given the that m=3 and the y-intercept is (0,2)

Mathematics
2 answers:
Oliga [24]3 years ago
7 0

Answer:

The equation of required line is y=3x+2.

Step-by-step explanation:

The slope intercept form of a line is y=mx+b              ..... (1)

where, m is slope and b is y-intercept. We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2). Substitute m=3 and b=2 in equation (1), to find the equation of required line.

y=(3)x+(2)

y=3x+2

Therefore the equation of required line is y=3x+2.

lina2011 [118]3 years ago
5 0
All equations of lines must be wrote in the form: Y=mx+c

m= the gradient
c= y intercept

Y= 3x+2

Hope this helps!
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Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f
alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

First we take  the interval  -6 to 0. In that -4  and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0)  --- Interval from  -6 to 0 but excluding  -4  and 0



7 0
3 years ago
In Walmart parking, there are 175 vehicles parked joe figures out that 64% of the vehicles are white. How many vehicles are NOT
aksik [14]

Answer:

63 vehicles are not white

Step-by-step explanation:

Well you know that there are 175 total vehicles, and that 64% of those vehicles are white.  Therefore the remaining percentage of vehicles must not be white.

100%-64%=36%

This means that 36% of the vehicles aren't white.

Now you must find what 36% of 175 is.  The word "of" always signals for multiplication, which is exactly what you need to do here.  First start by converting the percentage into decimal form:

36%=0.36

Now you can multiply

175 x 0.36 = 63

63 Vehicles are not white

5 0
3 years ago
Read 2 more answers
What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.
skad [1K]

Answer:

option A and B

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

Step-by-step explanation:

we have

2x^2+7x+4=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^2+7x+4=0

so

a=2\\b=7\\c=4

substitute in the formula

x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}

x=\frac{-7\pm\sqrt{17}} {4}

so

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

7 0
2 years ago
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 m
pychu [463]
The speed at which they are moving apart = 475 + 525 = 1000 mi/h

Time  = distance / speed
         = 6000 / 1000  = 6 hours

The answer is 6 hours.



8 0
2 years ago
In 31 days, Gwen's dog sleeps 496 jours.If she sleeps that same number of hours each night, how many hours does she sleep per ni
g100num [7]
It 496 ÷ 31 = 16 days
4 0
3 years ago
Read 2 more answers
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