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
Answers
Answer:
See below
Step-by-step explanation:
A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).
B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).
Related Questions
16. If a triangle has two side lengths of 8 inches and 23 inches, describe the possible lengths for the third
side?
Answers
Answer:
24
Step-by-step explanation:
What's the area of a triangle and circle?
Answers
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
how do i do this?? i really need help !!
Answers
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.
there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same time?
Answers
=====================================================
Explanation:
Let's find the LCM of 4 and 5, which are the first two items of the list.
multiples of 4 are: 4,8,12,16,20,24,...multiples of 5 are: 5,10,15,20,25,...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
multiples of 20 are: 20,40,60,80,...multiples of 12 are: 12,24,36,48,60,72,...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).
Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt
Answers
Answer:
Ali= x + 5
Aunt= 4x
Darla ran 1/2 mile. Laura ran 5/8 mile. How many miles did they run altogether?
Answers
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.
What is the percent increase of 24 to 32?
Answers
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
What is 100 x (81 + 283) - 67 x 4
Answers
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
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answers
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
a computer artist created a rectangular image measuring 55 125 scale factor of 2.5 what are the dimensions of the dilated image? quick!!
Answers
Answer:
sex
Step-by-step explanation:
69
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
Answers
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:
https://brainly.com/question/15680851
Answer:
B!
Step-by-step explanation:
Need helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
y=2x+10
Step-by-step explanation:
the picture has the answer
Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)
Answers
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.
Help please and thank you.
Answers
Answer:
b
Step-by-step explanation:
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answers
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.
3a-1 over 8=a+9 over 4
Answers
Answer:
1800 stanley steamer
Step-by-step explanation:
can i have some help :
Answers
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!!!
simplify 3q+3q+4q²
Explanation and working out please
Answers
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:
Write an equation for a line if m
3 and it passes through the point (1, -5).
Answers
y - -5 = 3 (x-1)
if 2-5 = -4 then x =
please answer
Answers
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
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, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?
a
The amount of money in Julian's account after one year
b
The amount of interest Julian will earn each year
c
The amount of money for Julian's initial deposit
d
The maximum amount of money Julian can earn in his account
Answers
Answer:
C
Step-by-step explanation:
The value 500 represent the option C. The amount of money for Julian's initial deposit.
What is Function?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 :
https://brainly.com/question/12277569
#SPJ7
Solve this inequality for x.
Answers
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
What is the value of X?
37 x X = 222
Answers
Answer:
87
Step-by-step explanation:
sorry if im wrong
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answers
Answer: point E
Step-by-step explanation:
Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2
Answers
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]
1. 6(12+4)
2. 10+4(2+20)
3. 7(4+19)
Answers
Answer:
1. 6 x 16 = 96
2. 10 + 4 x 22 = 10 + 88 = 98
3. 7 x 23 = 161
Step-by-step explanation:
Solve the system of equations.
4х – 3y = 12
3х + 6у = 42
Answers
mark me brianliest if i was correct!
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.
write the equation of the line given the two points. (1,-2) and (1,5)
Answers
Answer:
x=1
Step-by-step explanation:
y=mx+b
5--2/1-1
7/0
.can you help please
Answers
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
A small rectangular prism has a length of 5 inches, a width of 4 inches, and a volume of 100 cubic inches. A large rectangular prism also has a length of 5 inches and a width of 4 inches, but its volume is 200 cubic inches.
How much taller is the large prism than the small prism?
Answers
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.