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4 years ago

Which is the graph of the function f(x) = x2 + 2x + 3?

Mathematics

2 answers:

andrezito [222]4 years ago

8 0

Its the first answer on e2020 :D

blagie [28]4 years ago

5 0

Dy/dx=2x+2

So velocity will be zero when 2x+2=0, x=-1

Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.

y(-1)=1-2+3=2

So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.

And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)

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Which choices are equations for the coordinates (-2,4) (1,-2)?

DENIUS [597]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad
(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-4}{1-(-2)}\implies \cfrac{-2-4}{1+2}\implies \cfrac{-6}{3}\implies -2
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-2[x-(-2)]\implies y-4=-2(x+2)$

7 0

3 years ago

100*10 in exponential form

d1i1m1o1n [39]

hopefully this is correct (:

100 = 10 x 10 = 102

3 0

3 years ago

Find the dimensions of a rectangle whose area is 306cm2 and whose perimeter is 70 cm

sp2606 [1]

Answer: the rectangle of maximum area is a square of side length 1= 4 cm let x and y be the lengths of the sides of the rectangle measured in cm

Step-by-step explanation:

then the perimeter is

2x+2y=16

so that:

y=8- x

7 0

3 years ago

Y-1/4x=-1 y-2=4x one solution, no solution or infinite solution?

alexandr1967 [171]

Answer:

One solution

Step-by-step explanation:

To start, let's simplify the equations to slope-intercept form

y - 1/4x = =1

+1/4x +1/4x

y = 1/4x - 1

y - 2 = 4x

+2 +2

y = 4x + 2

As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.

Feel free to ask me any questions in the comments! :D

7 0

3 years ago

What is the value of a? Answer options: 27.5, 90, 45, 50

Vikentia [17]

Answer:

90°

Step-by-step explanation:

Arc a subtends and angle of 45° to the circumference of the circle

We know that;

An angle subtended by an arc to the center of a circle is twice the angle subtended by the same chord to the center of the circle.

Therefore, if arc a subtends and angle of 45° to the circumference of the circle then;

a will be = 45 × 2

= 90°

8 0

3 years ago