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vaieri [72.5K]
3 years ago
8

What is the equation of the line that is parallel to the line y=2x+3 and passes through the point (-2,1)

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

y= 2x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence m=2.

Subst. m=2 into the equation:

y=2x +c

Now substitute a coordinate.

When x= -2, y=1,

1= 2(-2) +c

1= -4 +c

c= 1 +4

c=5

Thus, the equation of the line is y= 2x +5.

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According to the rational root theorem, the numbers below are some of the potential roots of f(x) = 10x3 29x2 – 66x 27. select a
exis [7]

The actual roots of the function f(x)=10x^{3}+29x^{2} -66x+27 are -9/2, 3/5 and 1.

Given  function f(x)=10x^{3}+29x^{2} -66x+27.

Function is a relationship between two or more variables expressed in equal to form.

The roots of a polynomial function are the zeroes of the polynomial function. A polynomial function is a function that involves only non negative integer powers in an equation.

The polynomial function is given as:

f(x)=10x^{3}+29x^{2} -66x+27

factorize the above function

f(x)=(2x+9)(5x-3)(x-1)

Now put the function f(x) equal to zero.

f(x)=(2x+9)(5x-3)(x-1)

split the function means put all the expressions equal to zero as under:

(2x+9)(5x-3)(x-1)=0

solve each for the value of x

x=-9/2,x=3/5,x=1

Hence the roots of the function f(x)=10x^{3} +29x^{2} -66x+27 are which are also the values of x are -9/2,3/5,1.

Learn more about function at brainly.com/question/10439235

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6 0
2 years ago
Lake superior is the largest of the great lakes, with a volume of 2900 mi3. how many gallons of water are contained in lake supe
amid [387]

we are given

Volume of water in lake in mi^3

V=2900mi^3

now, we know that

1 mi^3= 1.10111715*10^{12} gallons

we can multiply both sides by 2900

2900*1 mi^3= 2900*1.10111715*10^{12} gallons

2900*1 mi^3= 3193.239735*10^{12} gallons

we can write in scientific form

2900 mi^3= 3.193239735*10^{15} gallons...........Answer


3 0
4 years ago
I need help please!!!
ludmilkaskok [199]

Answer:

x ≥ -1

Step-by-step explanation:

the red fully circle in -1 show that -1 is include

8 0
4 years ago
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Which polynomial is in standard form? 12x-14x^4+11x^5
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<span> x • (11x4 - 14x3 + 12)</span>
3 0
3 years ago
How did you get -16 from -9-5-20?
Artemon [7]

Answer:

it would be -34

Step-by-step explanation:

7 0
3 years ago
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