The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0

Answer:

C

Step-by-step explanation:

The value 500 represent the option C. The amount of money for Julian's initial deposit.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that, Julian opened a college savings account.

The amount of money in his account can be calculated using the function,

C(t) = 500 (1.03)^t.

Here t is the time in years since the initial deposit.

When t = 0,

C(0) = 500 (1.03)^0

       = 500 × 1    (since any number x⁰ = 1)

       = 500

So the deposit at t = 0 means the initial deposit.

So 500 is the initial deposit.

Hence 500 represents the initial deposit amount.

Learn more about Exponential Functions here :

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Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.

Answer:

24

Step-by-step explanation:

Answer:

6q+4q²

Step-by-step explanation:

3q+3q+4q²

All you have to do is combine like terms(CLT)

3q+3q=6q

You can't combine 6q and 4q².

The end result is 6q+4q².

-hope it helps

Answer:

2q(2q+3)

Step-by-step explanation:

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

Answer:

8%???????????????????????

I will show you how calculate the Percent Change from 24 to 32.

Basically, we are trying to find the change from 24 to 32 in terms of percent. We do this in three steps:

1) Find the difference between 24 and 32 as a number.

2) Divide the result from Step 1 by the starting number 24.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

The three steps above can be made into a formula. So, to find the percent change from 24 to 32, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 24, and Y is the ending number 32 that it changed to. When we enter these numbers into the formula, we get:

((32-24)/24)*100 = 33.33%

So, the answer to the question "What is the Percent Change from 24 to 32?" is:

33.33%

Note: All percent answers are rounded to the nearest two decimals if necessary.

-ㄚㄩ尺丨

Answer:

b<11=board is shorter then

b>11=more then 11 books

b<12=fewer then 12

b>12=taller then 12

Hope This Helps!!!

Answer:

sex

Step-by-step explanation:

69

Answer:

Ali= x + 5

Aunt= 4x

Answer:

y=2x+10

Step-by-step explanation:

the picture has the answer

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

Answer:

87

Step-by-step explanation:

sorry if im wrong

Answer:

A

Step-by-step explanation:

81 - 1 1/5x [tex]\leq[/tex] 55

Subtract 81 from  both sides

- 1 1/5x [tex]\leq[/tex] -26

Turn - 1 1/5 into the improper fraction -6/5

-6/5x [tex]\leq[/tex] -26

Divide by sides by -6/5 by multiplying by the reciprocal. This also changes the direction of the sign.

x [tex]\geq[/tex] 65/3

x [tex]\geq[/tex] 21 2/3

Answer: point E

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

1 1/8 mile

Step-by-step explanation:

when it says altogether most of the time you're supposed to add.

When you add fractions you need to have both denominator (number below the line) be the same. and sense 1/2 and 4/8 are equal we will replace it.

you add the numerators (top numbers) and keep the denominator (bottom number)

[tex]\frac{4}{8} + \frac{5}{8} = \frac{9}{8} =1\frac{1}{8}[/tex]

Sense the numerator is bigger you subtract the bottom number from the top number and put a 1 in front of the fraction.

Answer: 2.718

Step-by-step explanation:

You don’t need the star there but it is Euchre’s number when you look it up it is 2.718

Step-by-step explanation:

the volume of a prism is

length × width × height

so, for the small prism we have

5 × 4 × height = 100 in³

height = 100/20 = 5 in

for the large prism we have

5 × 4 × height = 200 in³

height = 200/20 = 10 in

the larger prism is 10/5=2 times taller than the small prism.

Answer:

1

Step-by-step explanation:

2-5=x-4

subtract the common factors

-3 = x-4

add 4 to both sides so get x by itself

1 = x

Answer:

C. 1.2x

Step-by-step explanation:

He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:

[tex]1x+0.2x\\1.2x[/tex]

You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.

[tex]10\times1.2=12[/tex]

Answer:

Formula?

Step-by-step explanation:

Triangle = Area = 1/2bh

circle = Area = pi x r^2

Hope it helps

Answer:

x=1

Step-by-step explanation:

y=mx+b

5--2/1-1

7/0

Answer:

1. 6 x 16 = 96

2. 10 + 4 x 22 = 10 + 88 = 98

3. 7 x 23 = 161

Step-by-step explanation:

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

Answer:

15 3/4 = (15*4 + 3)/4 = 63/4

5*(63/4) = 78.74 OR 78 3/4

The  change in the total number of bushels is 78 3/4 bushels.

The population model is most sufficient for 2005 because 2005 is the closest to 2000

The population function is given as:

[tex]P(x) = 10550(1.1)^x[/tex]

From the question, we understand that the population model is for years after 2000.

This means that the model cannot be used for the year 1950; because 1950 is before 2000.

The model can be used for years 2005, 2025 and 2050.

However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time

Read more about population functions at:

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Answer:

B!

Step-by-step explanation:

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

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every 60 minutes

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

Answer:

1800 stanley steamer

Step-by-step explanation: