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aliya0001 [1]
2 years ago
11

Is the given function continuous at x=1?

Mathematics
1 answer:
rusak2 [61]2 years ago
3 0

Answer:

The answer is "Option C".

Step-by-step explanation:

Given:

\to f(x)=2x^2-3x+1\\\\when \ x=1\\\\\to f(1)= 2(1)^2-3(1)+1\\\\\to f(1)= 2(1)-3+1\\\\\to f(1)= 2-3+1\\\\\to f(1)=-1+1\\\\\to f(1)=0

That's why choice C is correct.

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A line passes through the point (-4,-5) and had a slope of 5/2. Write an equation in slope-intercept form
daser333 [38]

Step-by-step explanation:

as we have a point and the slope, we can start with the point-slope form and then transform.

the point-slope form is

y - y1 = a(x - x1)

(x1, y1) being a point on the line, a being the slope.

the slope-interceot form is

y = ax + b

a being the slope again, b being the y-intercept (the y value for x = 0).

so, we have

y - -5 = 5/2 × (x - -4)

y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10

y = 5x/2 + 5

or

y = (5/2)x + 5

and this is already the slope-intercept form. all done.

4 0
1 year ago
What is the measure of x?
UkoKoshka [18]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

7 0
2 years ago
Each day Marvin exercises for 48 minutes how many days will it take him to exercise for 576 minutes?
Triss [41]
The answer is 12 because 576 divided 48 is 12 .
8 0
3 years ago
Read 2 more answers
Fully simplify.<br> (5x^5-y)^2
Aleksandr-060686 [28]

Answer:

I think that's right been a while

Step-by-step explanation:

25x^5-y^2

5 0
2 years ago
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What is an equation of the line that passes through the point ( 6 , − 1 ) (6,−1) and is parallel to the line x − 3 y = 3 x−3y=3?
Nataly [62]

Answer:

y = 1

Step-by-step explanation:

Passes through (6,-1)(6,-1)

Find the slope (m)

m=(y2 - y1) / (x2 - x1)

m=(-1 - (-1) ) / (6-6)

m= 0

Parallel to x - 3y = 3

-3y = -x +3

y = 1/3 x -1

Equation of the line equation is y - y1 = m ( x - x1 )

y - ( -1 ) = 0 ( x - 6 )

y + 1 = 0

y = 1

4 0
3 years ago
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