Find the rate of change in the graph

Answer:

vertex: (-2, -3)

Step-by-step explanation:

y = x2 + 4x                 + 1  

y = x2 + 4x + 22          + 1 - 22  

y = (x + 2)2 + 1 - 4  

y = (x + 2)2 - 3            in y = (x - h)2 + k, (h, k) is the vertex.  

Answer:

y = (x - 2)² - 3

Step-by-step explanation:

Given

y = x² - 4x + 1

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 1

   = (x - 2)² - 3

Answer:

468

Step-by-step explanation:

and this is how you spell answers

The value of 78 × 6 is 468

Multiplication is the process of calculating the product of two or more numbers. The result of multiplication is called product.

If a × b = c , this means that a and b are the factors and c is the product.

For example if each student has 5 apples and there are 100 students in the camp, the total number of apples in the camp is

100 × 5 = 500 mangoes.

Similarly, 78 × 6

= 70 × 6 + 8 × 6

= 420 + 48

= 468

Therefore the product of 78 and 6 is 468

learn more about multiplication is

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Answer:

2x - 1

Step-by-step explanation:

2x−1+2−2

=2x+−1+2+−2

Combine Like Terms:

=2x+−1+2+−2

=(2x)+(−1+2+−2)

=2x+−1

Answer:

Step-by-step explanation:

We need to add -1 to each side of this to get rid of the -1 in the equation.

2x - 1 + 2 = 2

2x + 1 = 2

We need to subtract 1 from each side.

2x = 1

x = 0.5

Checking:

2(0.5) - 1 + 2 = 2

1 - 1 = 0 + 2 = 2 (Checks out)

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Answer:

n=-3

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

Answer:

1/20 is 5%

Step-by-step explanation:

1/20 = 5%

20/20 = 100%

100 ÷ 20 = 5%

1/20 x 100 = 0.05 x 100 = 5%

Step-by-step explanation:

[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]

Answer:

mean:15

median:14

mode:13

range: 8

Answer:

1 and 4/5 mile or 1.8 miles

Step-by-step explanation:

You would multiply 3/5 by 3 because in 1/3 day she can walk 3/5 miles, you want to find out how much she can walk in a day! Hope this helps! If you liked this answer, a brainliest would much be appreciated!

Answer:

9/5 i believe ( or 1 4/5 )

Step-by-step explanation:

multiply 3/5 by 3, since 1/3 is only a part of the day

( im sorry if this is wrong :( )

Answer:

It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.

Step-by-step explanation:

Please correct me if I am wrong.

Answer:

Slope of dotted lines: 1

Slope of reflection line:​ -1

Step-by-step explanation:

For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.

For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.

Answer:

$11.75

Step-by-step explanation:

In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75

Answer:

Simon started High school in the year 2012.

One usually starts highs school when is 14 years old.

So we can assume that Simon was born 14 years before 2012:

2012 - 14 = 1998

Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.

Then Simon's parents should have met before 1998.

Then the inequality that we have:

x < 1998.

And Simon was born when his father was 25 years old.

Then in 1998, Simon's father was 25 years old.

Meaning that he was born around:

1998 - 25 = 1973.

This means that Simon's parents met in-between the years 1973 and 1998.

1973 < x < 1998

Answer: 10^4 · 4^5

Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.

(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5

Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

Answer:

Stefan should rent a phone accessory store

Step-by-step explanation:

The given information are;

The total of the estimated income and expenses are given as follows;

Sales

Type [tex]{}[/tex]                      Amount  [tex]{}[/tex]                      Frequency

Sales [tex]{}[/tex]                      $ 950 [tex]{}[/tex]                          Each week

Services [tex]{}[/tex]                 $2,875 [tex]{}[/tex]                        Each month

Rent  [tex]{}[/tex]                     -$4,500 [tex]{}[/tex]                        Each month

Travel  [tex]{}[/tex]                   -$7.50 [tex]{}[/tex]                          Each day

Merchandise [tex]{}[/tex]         -$1,650 [tex]{}[/tex]                         Each month

Therefore;

Total sale = 4×950 = $3,800

Total services = $2,875

Total income =  $3,800 + $2,875 = $6,675

Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375

Total profit = Total income - Total expenses = $6,675 - $6,375 = $300

Therefore, the net profit = $300.

Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

Answer

42.66

Step-by-step explanation:

each foot is 5.33 so 5.33 x 8 is 42.66

Answer:

( -1 , 0.5)

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

the intirior angles equals 180 so ttthe outside have to equal 360

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

[tex]\hat y =1.7 +1.48t[/tex]

Weight of the kitten after 10 weeks

[tex]\hat y =1.7 +1.48\times 10[/tex]

[tex]\hat y =16.5[/tex] pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Answer:

300 dollars

Step-by-step explanation:

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The cost to carpet a rectangular floor is $300.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

Learn more: brainly.com/question/17429689

Answer:

5,200

Step-by-step explanation:

Answer:

5,000

Step-by-step explanation:  Think back to your elementary days: how did you learn to round numbers? Chances are, your teacher taught the class how to round up or down from the number 5. In other words, if the last number is below five, you might round it down, and if it’s above, it gets rounded up.  

In fact, there are a whole plethora of rounding rhymes that can easily be found on the internet. Complete a quick Google search, and you might find something like, “5 and above, give it a shove! 4 and below, let it go!”. While these sayings might seem like a great solution to help kids quickly learn to solve problems, how do children know what place value they are rounding to?  

kids with scores

Before the current Common Core or individual state standards were established, mathematics was often taught by encouraging students to memorize facts and learn tricks to complete problems. Rounding is no exception, as many educators have encouraged kids to use rhymes like those described above. Needless to say, it doesn’t teach a child the underlying concept itself.  

Below we’ll explore exactly why teaching math tricks don’t work, even if it helps students to arrive at a correct answer. Then, keep reading to discover 7 of the best ways to teach rounding numbers.  

Why Getting Answers Correct is Not Enough

As mentioned above, teaching kids tricks or “hacks” to complete math problems can sometimes be helpful, it doesn’t help your child understand the mathematical concept behind the skill. For kids, teaching them to think about the number 5 and round up or down can help them arrive at the right answer, but they aren’t thinking about place value when they use the trick. So, if children are completing a rounding activity, they don’t know if they should round to the nearest ten or hundred. In fact, they might not know why they’re rounding up or down at all!  

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

Answer:

3_5/6 hours

Step-by-step explanation:

2_ 1/3 = 2_ 4/12

1_3/4 = 1_6/12

2_4/12 + 1_6/12 = 3_10/12

3_10/12 = 3_5/6

Answer: 0, 50

Step-by-step explanation: (h=0), 0=2t+100

2t=100

t=50

hopefully this helps

Answer:

Ben

Step-by-step explanation:

25 goodies = 20 minutes

27 goodies = 24 minutes

Let's use ratio, divide both of them by their minute

25/20 = 20/20

27/24 = 24/24

1.25 goodies = 1 minute

1.12 goodies = 1 minute

1.25 is bigger than 1.12.

Answer:Ben

Step-by-step explanation: