3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)


f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16

Answer:

120 minutes

Step-by-step explanation:

find the LCM

first find the GCF using prime factorization

15=3*5 12=2*2*3 10=2*5

GCF is 5 and 2 respectively

remove from each and multiply

3*2*2*2*5=120

Answer:

X= - 6/20

Step-by-step explanation:

Find the lcm in both sides,,,

Do a cross multiple of the sides,

Answer:

a)300 quarts per hour

b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters

Step-by-step explanation:

a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour

b)1 quart is .946liters

using that conversion we get that 5 quarts is ≈4.73 litera

Answer:

4:30

Explanation:

Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30

Answer:

4

Step-by-step explanation:

It is a positive number meanwhile -4 in negative.

Answer:

[tex]10 + (n - 1) 8[/tex]

Step-by-step explanation:

All arithmetic sequence can be written as:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.

[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]

Now replace the knowns terms in the general form:

[tex]a_{n} = 10 + (n - 1)8[/tex]

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between any two consecutive terms in an arithmetic sequence is constant.

In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.

Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.

Therefore, the nth term of the sequence can be expressed as:

a + (n-1)d

where d is a common difference, which is 8 in this case.

So, the simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

where a is the first term of the sequence and n is the position of the term in the sequence.

Thus,

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Answer:

the answer is 10/9.

Step-by-step explanation:

Please give BRANIEST and 5 stars if correct!

Answer:

ten ninths

Step-by-step explanation:

"one third plus seven ninths" can be rewritten symbolically as

1/3 + 7/9 and we note that the LCD is 9.  Thus,

1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

Answer:

if $15.98----> 2kg

$x --------> 7kg

cross multiply

$x= (15.98 x 7)/2

x = $55.93

Answer:

ΔOGD≅ ΔPRC

Step-by-step explanation:

Answer: No

Step-by-step explanation:

you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.

Answer:

-0.25 is greater than -0.75

Step-by-step explanation:

usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.

Answer:

What is the question?

Step-by-step explanation:

Answer:

[tex]6.56\times10^{-7}[/tex]

Step-by-step explanation:

[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation

[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]

Then isolating [tex]x[/tex] you have

[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]

Answer:

add the like terms then look for a gcf to take out atleast for this one

so -9+7= -2

-5x + 1x = -4x

and -2y

we can take -2 out of all those

so our answer is -2(2x+y+1

Answer:

There is no Question or no images...

Step-by-step explanation:

Answer:

0.5 hours

$130 = 1h

$90 = 30m/1h

Answer:  No

Step-by-step explanation:

The question is whether 3(4x+2) could ever equal 6(2x+2).  So let's set them equal to each other and find if there is a value of x, the days, where they are equal.

3(4x+2) = 6(2x+2)

12x + 6 = 12x+2

6 = 12??  No

They will bnever be at the same height.  They are growing at the same rate (12x) but starting at different heights (6 and 12)

Answer:

Bone Mass, Density and Bone Weight

"Bone weight is about 15 percent of your body weight, but determining bone weight is complicated and it does not give us useful information. It is much more important to know about bone density, which is the best way to measure bone mass and bone health," says Dr. Ford.

Step-by-step explanation:

Hope its helps you

Answer:

Step-by-step explanation:

18%*59.2=10.656

=====================================================

Work Shown:

The first four terms are: -4, 14, -22, 50

The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

Answer:-108

Step-by-step explanation:

you need to put them in order from least to greatest 4, 36, -12, -108

Answer:

The selling price of one striped lanyard

Answer:

Below.

Step-by-step explanation:

1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.

In the same way there are 7 * 4 = 28 grapefruit.

Total pieces of fruit = 12 + 28

= 40.

Answer:

The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.

ok for the first one says

f(x)= 2 which is our Y, now we see when y is 2 our x = 1

f(x)=0 so when y= 0 , x = 2

f(1) = 2

Answer:

Each angle measures 45° with diagonals

Step-by-step explanation:

Answer:

-1.63

Step-by-step explanation:

Plug in the values listed into the equation

([388/1386] - 0.30) / √(0.30[1-0.30)/1386

-0.02006/0.01231

-1.63