Which form do you prefer when finding the vertex of a quadratic function, vertex or standard? Why?

Answer:

The answer is 22!!!!!!!

Answer:

22

Step-by-step explanation:

d – f

Let d = 7 and f = -15

7 - -15

7+15

22

Answer:

4 inches.

Step-by-step explanation:

by simplify the equation the answer is 4905

Answer:

[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

Ensure that the equation is in the form of ax² +bx +c= 0.

5x² -x +1= 3

5x² -x +1 -3= 0 (-3 on both sides)

5x² -x -2=0

Here, a= 5, b= -1, c= -2.

Use the quadratic formula below to solve for x.

[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]

[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]

[tex]x = \frac{1± \sqrt{41} }{10} [/tex]

[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number.  An imaginary number is basically where we accept that there exists an i  (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex]  (square root of negative 1). So we are not considering this concept in this question.

Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared.  If you said the quadratic formula, then you are perfectly correct!

Remember in order to use the quadratic formula, you must get your equation into the form:

[tex]ax^{2} +bx +c=0[/tex]

Let's do it! Right now we have:

[tex]5x^{2} - x +1=3[/tex]

Get rid of the 3 by subtracting it from both sides:

[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]

Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:

[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]

Let's get out our quadratic formula now:

[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]

All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):

[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]

[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]

Removing the plus/minus we get two answers:

[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]

These are the most simplified forms!  It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!

Technically, we don't have enough info so it could go either way.

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Explanation:

We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.

Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.

Answer:

G. 20

Step-by-step explanation:

The spinner has a total of 5 equally sized sections. This means that each possible outcome has an equal probability of 1/5 (0.20 in decimal form) that the spinner lands on it. Therefore, to calculate the number of times that the spinner would most likely land on "lose a turn", we need to multiply the probability that we just mentioned by the number of times the spinner will be spun...

0.20 * 100 = 20 times

Finally, we can see that the spinner will most likely land on "lose a turn" 20 times in 100 spins.

Answer:

20

Step-by-step explanation:

Answer:

Adobe Family Tools

Step-by-step explanation:

Answer:

120%

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

Answer:

"Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

Step-by-step explanation:

In reality, the table represents an exponential function instead of a linear function, since values on domain change arithmetically at constant rate, whereas values on range change geometrically at constant rate.

Correct phrase may be: "Consecutive y-values change by multiplying previous value by a constant amount. So, the table represents an exponential function."

Answer:

(10x5+15x3)-7

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

To find the slope given two points

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

    = ( 8 - 2)/( -3 -3)

    = 6 / -6

    = -1

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]

Hope I helped :)

Answer:

B

Step-by-step explanation:

2-3x7x-3

2.5

2.5 --3

this be good

Answer:

7

Step-by-step explanation:

H(x)=x^2-3x+7

=(-3)^2-3*(-3)+7

=9-9+7

=7

Answer:

Step-by-step explanation:

go to the back of the book

Answer:

Salvo en cada library 4.33

Answer:

f(4) = -4

Step-by-step explanation:

f(x) = 4x - 20

Let x= 4

f(4) = 4*4 - 20

Multiply first

     = 16 -20

Then subtract

    = -4

Answer:

-4

Step-by-step explanation:

Hope it helps

Answer:

[tex] \sin( \alpha ) = \frac{4}{5} [/tex]

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

[tex]hyp = \sqrt{25} [/tex]

hyp = 5 units

[tex] \sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5} [/tex]

Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

[tex]sin60=\frac{200}x}[/tex] so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

[tex]sin45=\frac{200}{231+y}[/tex] so

[tex]y=\frac{200}{sin45}-231[/tex] and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

Answer:

1. e

2. c

3. d

4. a

5. b

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The minimum is the left side of the whisker = 0

The maximum is the right side of the whisker = 13

Range is max - min = 13-0 = 13

Median is the middle line in the box = 4

Interquartile range is the right side of the box - left side of the box = 6 - 1 = 5

Answer:

D

Step-by-step explanation:

Given that :

Mean = 14

Range = 7

Evaluating the options given :

A. $14, $14, $14, $14, $7, $7

For option A :

Mean = (14 + 14 + 14 + 14 + 7 + 7) = 70 / 6 = 11.66 (incorrect)

B. $14, $14, $14, $14, $14, $21

Mean = (14 + 14 + 14 + 14 + 14 + 21) = 91 / 6 = 15.17 (Incorrect)

C. $13, $13, $13, $15, $15, $15

Range = 15 - 13 = 2 ( Incorrect)

D. $13, $12, $15, $15, $11, $18

Range = (18 - 11) = 7

Mean = (13+12+(15*2)+11+18) / 6 = 84/6 = 14

Option D is Correct

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

79 inches

Answer:

3

Step-by-step explanation:

Answer:

The graph of the function  is attached below. Graph (b) is correct.

The function is

Explanation:

The given function is .

The graph of the function represents downward parabola as the function has negative sign.

Solve the function to obtain the zeroes.

The zeroes of the function are  and .

In graph 2 the zeros are  and .

The graph of the function  is attached below. Graph (b) is correct.

Graph (a) doesn’t represent the graph of the function.

Graph (b) represents the graph of the function.

Graph (c) doesn’t represent the graph of the function.

Graph (d) doesn’t represent the graph of the function

Step-by-step explanation:

Answer:

5 is the median

Step-by-step explanation:

The "median" is the "middle" of the set of numbers. Considering there are 13 total numbers, making it un-even, there can be an equal amount of numbers taken off of each side with a middle number remaining. That middle number will be your median..

Answer:

42

Step-by-step explanation:

The equation is, c/7 = 6

c/7= 6

By multi[lying both sides with seven,

c = 6*7

c = 42

Hope this helps you

Please mark as brainliest

Thank You

Answer:

maybe 90%?

Step-by-step explanation:

if im wrong im sorry

Answer:

90%

Step-by-step explanation:

[tex]\frac{18}{20} :\frac{y}{100}[/tex]

y × 20 = 18 × 100

20y = 1800

20y ÷ 20 = 1800 ÷ 20

y = 90