y = x square - 4x + 6
PLEASE HELP ME!!
Find the domain, in interval notation too.
I sadly do not have an answer to this problem but, have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)
Step-by-step explanation:
Example (graph found below):
The domain of a function f(x) is the set of values of x for which f(x) has a defined value.
In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.
The slant asymptote does not affect the domain, but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.
Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.
Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).
Answer: the domain is all the real numbers different from 0.
NOTE:
If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.
In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.
Answer:
[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]
Step-by-step explanation:
This function is rational function that's meaning that is of the form:
[tex]\frac{1}{x}[/tex]
So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).
In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.
solve for X in the figure below
[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]
[tex]\\ \sf\longmapsto 4x+102=180[/tex]
[tex]\\ \sf\longmapsto 4x=78[/tex]
[tex]\\ \sf\longmapsto x=19.7[/tex]
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
Visit: https://brainly.com/question/17967521
Find the measures of the interior angles of the triangle.
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry
Answer:
5x-22<9<x
Step-by-step explanation:
5 times x = 5x
subtract 22 = 5x-22
less then = 5x-22<
9 more then x = 5x-22<9<x
If the scale is
2
inches
=
4
feet, what are the actual side lengths of the garden?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)
please, show your work!
Thank you!
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with
nines facts?
Answer:
So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.
help help help help pls
Answer:
hope this helps
Step-by-step explanation:
a. 1/4 as a power of 2 = root 4 v/2
b.
Radium-226 mass decays to 1/4 of it mass every 6400 years
64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr
now its current mass is 16gr
16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr
again, its current mass after 12800 years is 4gr
4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr
why 4600 3 times? = 4600+4600+4600 = 19200 years
the remaining mass after 19200 years is 1gr
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
what's 10+10+309765+45
Hey there!
10 + 10 + 309,765 + 45
= 20 + 309,765 + 45
= 309,785 + 45
= 309,830
Therefore, your answer is: 309,830
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
10 + 10 + 309,765 + 45 = ...
= 10 + 309,775 + 45
= 309,785 + 45
= 309,830
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
Find the range of the following group of numbers: 1, -8, -10, 11, 19
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
don't give unwanted ans to get the points
well explained ans needed !!
spammers and plagiarism = reported
thx !!
[tex]\pink{Answer}[/tex]
The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]
[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]
[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]
[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]
[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]
hence , angles of the triangle are 40 , 60 and 80
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
Answer:-40° , 60° and 80°
Explanation:-We know that sum of all the angles of a triangle adds to 180° .
Let the angles be 2x , 3x and 4x
Now,
=> 2x + 3x + 4x = 180°
=> 9x = 180°
=> x = 180/9
=> x = 20°
(The value of x is 20)
2x = 2 × 20 = 40°3x = 3 × 20 = 60°4x = 4 × 20 = 80°HELP!!!! need help with this due tonight pls someone
Answer:
the photos isn't clear!
What is (16x+9)+(−9x−5) ?
Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks
Answer:
114
Step-by-step explanation:
3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
Ellie hikes 1/2 of a mile every 10 minutes. How far does she hike in 1 hour?
Answer choices:
3
5
4
6
Answer:
3miles
Step-by-step explanation:
10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles
Answer:
Step-by-step explanation:
There are various ways in which we can solve this problem.
If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.
Alternatively: "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach. Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."
what is energy!
____________
Answer:
the strength and vitality required for sustained physical or mental activity is called energy..STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE
We as we see this question is quite simple
first we find the vocabulary which is in simple text slang and convert it formally to english...
Next we find that this question makes no sense so g'day
PLEASE HELP ME I'LL GIVE YOU BRAINLIEST
Answer:
1. The measure of a right angle is greater than the measure of an acute angle.
2. Given
3. Perpendicular lines form right angles.
4. If two angles of a right triangle...
(Please thank and rate if my answer helped!!!!)
Step-by-step explanation:
Find the constant of proportionality and write an equation for the following proportional relationship.
You drove 330 miles in 6 hours.
Use d to represent the distance you drove and t to represent the time
Answer:
NoShutterStock gives the correct value: 55 miles/hr (mph)
I'll only add that distance, d, is the product of time, t, and speed, s.
(Distance, d) = (Time, t x) (Speed, s)
d = ts
330 miles = (6 hours)*(s)
s = 330 miles/6 hours, or 55 mph
Step-by-step explanation:
The constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
What is proportionality?Two quantities are said to be in direct proportion (or directly proportional), if one is a constant multiple of the other, i.e. y is said to be directly proportional to x if y = kx where k is a constant.
Given that, find the constant of proportionality and write an equation for the following proportional relationship.
"You drove 330 miles in 6 hours."
Here, the constant of proportionality =
330/6 = 55 miles per hour
The equation for the proportional relationship =
y = 55x
Where, y is total distance and x is hour of travelling.
Hence, the constant of proportionality and the equation for the proportional relationship are 55 miles per hour and y = 55x respectively.
Learn more about proportionality, click;
https://brainly.com/question/29126727
#SPJ2
two and twenty-seven hundredths
Actual number
[tex]\\ \sf\longmapsto 202700[/tex]
Number in words=two hundred and two thousands and seven hundreds
a square lot has a side of 8 5/8 meters,what is the area of the lot?
The annual snowfall in city A is 45.8 inches. This is 14.2 inches more than 4 times the snowfall in city B. Find the annual snowfall for city B.
Answer: 7.9inches
Step-by-step explanation:
45.8-14.2=31.6
31.6/4=7.9
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
B
Step-by-step explanation:
If we consider a point on the line (x, y ) then the corresponding point on the inverse, the other line will be (y, x )
A function and its inverse are reflections in the line y = x
Consider the point (1, 5 ) on the red line, the corresponding point on the blue line will be (5, 1 )
This is the case in graph B
The graph showing a function and its inverse is the graph D.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The graph of a function and its inverse are symmetric with respect with the line y = x.
On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.
You will see this is true only for choice D.
Hence, the correct graph is D
Learn more about graphs, click;
https://brainly.com/question/17267403
#SPJ7
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 3%. How much money did Edward earn in interest?
Answer:
$900
Step-by-step explanation:
3% of 6,000 is 180
so, he earns $180 per annum
5 YEARS LATER
he has been earning $180 every year, so,
180+ 180+ 180+ 180+ 180, or 180*5
$900
Hope this helps!
Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.
Number 24. unit {uh plz help with this part if u can }
Answer:
6.25 is the exact number, but you should round it to 6
Step-by-step explanation:
150/24=6.25.
It also equals 6 if you round it.