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GrogVix [38]
2 years ago
13

Which line will have no solution with the parabola y – x 2 = x2?

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

Step-by-step explanation:

y = –3x –3

y = –2x –3

y = 2x –3

y = 3x –3

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If the function f(x) = 4x^2 - x + 3, evaluate f(-2)
ira [324]

Answer: 21

Step-by-step explanation: f(-2) = 4· (-2)²-(-2) + 3 = 4·4 +2 +3

5 0
2 years ago
If limx→3f(x)=7, which of the following must be true? I. f is continuous at x = 3 II. f is differentiable at x = 3
Viktor [21]

Without knowing anything else about f(x), neither of these need be true.

Suppose

f(x)=|x-3|+7=\begin{cases}10-x&\text{for }x3\\0&\text{for }x=3\end{cases}

Then (I) isn't true because, while the limit exists as x\to3 and is equal to 7, we have f(3)=0\neq7, so f(x) is not continuous there.

(II) also true because f(x) is not differentiable at x=3; that is,

\displaystyle\lim_{x\to3^-}f'(x)=\lim_{x\to3}(10-x)'=\lim_{x\to3}(-1)=-1

but

\displaystyle\lim_{x\to3^+}f'(x)=\lim_{x\to3}(x+4)'=\lim_{x\to3}1=1

which means the derivative does not exist at x=3.

3 0
3 years ago
Find the inverse of 3x+8
Margarita [4]
Try -3x-8   hope that helps

4 0
3 years ago
The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must inclu
zavuch27 [327]

Answer:

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

Explanation:

Given the equation of circle;

x^2+y^2-2x+6y-6=0

we want to re-write it in the form;

(x-h)^2+(y-k)^2=r^2

where;

\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}

Applying Completing the square method;

\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}

comparing the derived equation to the general form we have;

\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}

Therefore;

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

6 0
11 months ago
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them play baseball. There are 2 students who pl
drek231 [11]

Answer:

p= \frac{22}{27} =0.814 = 81.4%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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