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3 years ago

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

Mathematics

2 answers:

andrezito [222]3 years ago

8 0

Its the first answer on e2020 :D

blagie [28]3 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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Charlemagne’s column covers the first 12 miles in 4 hours. He then increased the speed by 2 miles per hour. If the total distanc

Mashutka [201]

Answer:

12 miles in 4 hours is 3 mph

52-12=40 miles left

40 miles at 5 mph would take 8 hours

8+4=10

it took 10 hours to finish the trip.

8 0

3 years ago

How do you do this?! (2w-1)/(4)=(2-w)

nikklg [1K]

Answer:

w = 3 is your answer.

Step-by-step explanation:

You want to get w by itself.

(2w - 1)/(4) = 2 - w You will add the w on both sides.

(3w - 1)/(4) = 2 You will multiply 4 on both sides.

3w - 1 = 8 You will add 1 on both sides.

3w = 9 You will divide 3 on both sides.

w = 3 is your answer.

6 0

3 years ago

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Im doing decimals greatest to least and i need help with number 12 and 13

erma4kov [3.2K]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

-3.4 > -4.1

Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

3 0

3 years ago

Read 2 more answers

Perform the indicated operation and write in standard form 5i+(-9-i)

antoniya [11.8K]

Since the sign before the parentheses is a + , we can just remove the parentheses.

5i + (-9 - i) = 5i - 9 - i = -9 + 4i

3 0

3 years ago

Read 2 more answers