All categories

3 years ago

Please help me fast i will give first answer brainliest!!

Mathematics

2 answers:

Leya [2.2K]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

f(x) = 2x^2 +4x-16

Factor out 2

f(x) = 2 (x^2 +2x) -16

Complete the square inside the parentheses

Take the coefficient of x, divide by 2 and square it

(2/2)^1

f(x) = 2 ( x^2+2x+1 -1 ) -16

Bring the -1 outside the parentheses

f(x) = 2(x^2+2x+1)-2 -16

f(x) = 2(x+1)^2 - 18

This is in vertex form

y = a(x-h)^2 + k where ( x,k) is the vertex

f(x) = 2(x - -1)^2 - 18

The vertex is (-1,-18)

Verdich [7]3 years ago

7 0

Answer:

(-1,-18) is the coordinate of the vertex.

Step-by-step explanation:

We can obtain the vertex by taking the derivative and equating it to zero. I know this because the the slope of the tangent line at the vertex has to be equal to zero.

the derivative would be 4x + 4 = 0, where x = -1.

Plugging x into the original value we will end up with the y coordinate.

Hope this helps.

You might be interested in

The width of a rectangle is one more than twice its length. If the rectangle's perimeter is 44 cm, then its length is ____ cm.

EleoNora [17]

Answer:

Part 1) The length is 7 cm

Part 2) The rate of return is r=11%

Step-by-step explanation:

Part 1)

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

$P=44\ cm$

$44=2(x+y)$

simplify

$22=x+y$ -----> equation A

The width of a rectangle is one more than twice its length

$y=2x+1$ ----> equation B

substitute equation B in equation A

$22=x+(2x+1)$

solve for x

$3x+1=22\\3x=21\\x=7$

therefore

The length is 7 cm

Part 2) we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=1\ year\\ P=\$1,100\\ I=\$121\\r=?$

substitute in the formula above

$121=1,100(r*1)$

solve for r

$121=1,100(r)$

$r=121/1,100\\r=0.11$

Convert to percentage (Multiply by 100)

$r=0.11*100=11\%$

8 0

3 years ago

Please explain how you get the answer. show work.

ladessa [460]

I think it's b okay Im sure

8 0

4 years ago

Read 2 more answers

Using the picture above find the measure of VPW

elena-14-01-66 [18.8K]

Given:

Measure of arc UV is 56 degrees.

The measure of arc QW is 132 degrees.

To find:

The measure of angle VPW.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

$m\angle VPU=\dfrac{1}{2}(m(arcQW)+m(arcUV))$

Substituting the given values, we get

$m\angle VPU=\dfrac{1}{2}(132^\circ+56^\circ)$

$m\angle VPU=\dfrac{1}{2}(188^\circ)$

$m\angle VPU=94^\circ$

Now,

$m\angle VPU+m\angle VPW=180^\circ$ [Linear pair]

$94^\circ+m\angle VPW=180^\circ$

$m\angle VPW=180^\circ-94^\circ$

$m\angle VPW=86^\circ$

Therefore, the measure of angle VPW is $86^\circ$ .

8 0

3 years ago

Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper ba

Studentka2010 [4]

You can write all values in row:

0, 0, 2, 2, 3, 4, 6, 7, 7, 8.

1. The mean is

$\dfrac{0+0+2+2+3+4+6+7+7+8}{10}=\dfrac{39}{10}=3.9.$

2. The row contains 10 elements, so if you want to find the median, you should divide it into two equal parts 0, 0, 2, 2, 3 and 4, 6, 7, 7, 8 and take the last term from the first part and the first term from the second part. These are numbers 3 and 4. then the median is

$\dfrac{3+4}{2} =3.5.$