Answers
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
Related Questions
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answers
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
Please can someone answer this question quickly please
Thanks
Answers
Answer:
C. 5/7
Step-by-step explanation:
Answer:
It is C.5/7
Step-by-step explanation:
Hope this helped have an amazing day!
start with x, subtract y, multiply by a, then add z
Answers
Find the values or a and b
Answers
Answer:
a=33 ( vertically opposite angles)
a+90=b( sum of opposite interior angle is equal exterior angle)
33+90 = b
b=123
30pts PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER
The distance of a golf ball from the hole can be represented by the right side of a parabola
with vertex (-1,8). The ball reaches the hole 1 second after it is hit, at time 0.
What is the equation of the parabola, in vertex form, that represents the ball's distance
from the hole, y, at time x?
Answers
Let's suppose that the hole is at y = 0m, where x is the time variable.
we know that:
The vertex is (-1s, 8m).
(i suppose x in seconds and y in meters)
At x = 1s, the ball reaches the hole, so we also have the point:
(1s, 0m).
Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:
x = -b/2a,
then we have:
-1 = -b/2a.
Then we have tree equations:
8m = a*(-1s)^2 + b*-1s + c
0m = a*(1s)^2 + b*1s + c
-1s = -b/2a.
First we should isolate one variable in the third equation, and then replace it in one of the other two:
1s*2a = b.
So we can replace b in the first two equations bi 1s*2a.
8m = a*1s^2 - 1s*2a*1s + c
0m = a*1s^2 + 1s*2a*1s + c
We can simplify both equations and get:
8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.
0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.
Easily we can isolate c in the second equation and then replace it into the first equation:
c = -a*3s^2
The first equation becomes:
8m = -a*1s^2 - a*3s^2 = -a*4s^2
a = 8m/-4s^2 = -2m/s^2.
Now with a, we can find the values of c and b.
c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.
b = 1s*2a = 1s*(-2m/s^2) = -2m/s.
Then the equation is:
y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m
What is the solution to this inequality?
42.06 = 21.33 + 3x
Answers
Answer:
x = 6.91 hope this helps pls lmk
You have a goal to save $250. You have saved $160? What percent of your goal have you reached?
Answers
How do I do this please help me
Answers
Answer: I think it might be (0,8)
Step-by-step explanation:
PLEASE ANSWER THIS! THANKS! :D
Answers
Answer:
38 euros
Step-by-step explanation:
ok, so,
you know that
£3 is equal to 4 euros
this means that 0.75 pound is equal to 1 euro
28.50/0.75=38
do 38 times 1, which means that it is 38 euros
please mark me as brainliest!!!<3
For homework, a teacher instructs her students to choose a county in their state for a social
studies project. Since they live in a small state, repeats are allowed.
Are these two events dependent or independent?
Answers
Answer:
they are dependent
Step-by-step explanation:
PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
$6.87
Step-by-step explanation:
The cost of 0.6 pounds of blueberries is ...
(0.6 lb)($3.98/lb) = $2.39
The cost of 1.8 pounds of clementines is ...
(1.8 lb)($2.49/lb) = $4.48
Then the total cost of the purchase is ...
$2.39 +$4.48 = $6.87
The combined cost is $6.87.
A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft
Answers
Answer:
x=15
Step-by-step explanation:
Can u help me please
Answers
I'll help
The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;
2x + 5y= 57
The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;
x+10y=51.
So the expressions will be;
2x+5y=57
x+10y=51
That's Option C
SOME ONE HELP PLS Jenny has finished 15 of the 20 lessons in her piano book. Liam has finished the same percent of lessons from his piano book. His book contains 40 lessons. How many lessons has Liam finished?
Answers
Answer:
30
Step-by-step explanation:
15/20 is 75%
75% of 40 is 30
Can anyone help with this please?
Answers
Answer:
A
Step-by-step explanation:
There were 4983 students going on the field trip. Each bus could hold 60 students. How many buses did they need to transport all of the students?
Answers
Answer:
eighty four 84 84 84 84 84
Answer:
84
Step-by-step explanation:
last one i need help with
Answers
Answer: 10 sq units
Step-by-step explanation:
3 + 4.5 + 0.5 + 2 = 10 sq units
luz drives at an average speed of 60 miles per hour.
She has driven for 2 hours and has traveled a distance of 120 miles.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles.
Answers
Answer:
The answer is y = 60x, there is no y-intercept as she has started at zero.
Step-by-step explanation:
Hope this helps!
Answer:
i got the first one wrong(not 4)
the second is (2,120)
and the last y-120=60(x-2)
Step-by-step explanation:
pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can
Answers
Answer:
Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.
Step-by-step explanation:
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answers
2(-1) + 2 = 2
-2 + 2 = 2
0 = 2, false
(-1,2) is not a solution
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
help me and ill give brainly
Answers
Hope this helps
Answer:
(-inf, 5)
Step-by-step explanation:
just the previous answer, in anothe r form
HELP ILL GIVE BRAINLIEST
An angle measures 158º more than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answers
Answer: 158 and 28
Step-by-step explanation:
Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
Answers
Answer:
x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
What is the value of K?
k=
8
m
o
k
N
M
what is the answer to this ? :)
Answers
Answer:
k is 2, l=2√5, m=8√5
Step-by-step explanation:
Triangle MNO is half size of the triangle LON
Can someone tell me what the slope is ?
Answers
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
answers for both boxes please :)
Answers
Answer:
4,9
Step-by-step explanation:
since y = x+5, substitute the second equation into the first
then the first equation becomes x+5=2x+1
solve and you get x=4
substitute x for 4 in the second equation and you get y = 9
if this answer was correct, please mark this as brainliest! thanks
A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When constructed,
medians DG and EH intersect at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (-0.7, 2.5)
B. (-1, 1)
C. (-0.7, 2.3)
D. (-2, 3.5)
Answers
Given:
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).
To find:
The intersection point of medians DG and EH.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is
[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]
[tex]Centroid=\left(-0.666...,2.333\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(-0.7,2.3\right)[/tex]
Therefore, the correct option is C.
For her science project, Sylvia collected flowers and measured their length. The line plot displays the lengths of the flowers. If
the flowers were laid end to end, what is the total length of all the flowers?
Length of Flowers
Number
of Flowers
OA. 5 feet
OB. 5 feet
OC. 54 feet
OD. 58 feet
Answers
Answer:
5 3/4
Step-by-step explanation:
I have this problem too and in the same website too. It told us the total length of all of the flowers, so we add 1/8 + 1/4 + 3/8 + 3/8 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 5/8 + 3/4 + 7/8 and it was equal to 5 3/4
Answer: the answer is 5 3/4
Step-by-step explanation: i took the quiz
Which two numbers multiply to 20 and add to 9
Answers
Answer: 5x4=20
And 5+4=9
Step-by-step explanation:
The required two numbers are 4 and 5.
What is equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
We need to find two number such that if multiply then we get 20 and add to get 9.
Let 'a' and 'b' be two numbers.
According to given conditions,
a × b = 20 .........................(i)
a + b =9 .......................(ii)
So, from given conditions we have two equations (i) and (ii).
From equation (ii) we have,
a = 9 - b ...............(iii)
Substitute above value of 'a' in equation (i),
⇒ (9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
Now we solve this quadratic equation to find b.
⇒ b² - 9b + 20 = 0
⇒ b² - 5b - 4b + 20 = 0
⇒ (b - 5) (b - 4) = 0
⇒ b = 5 or b = 4
Find the value of 'a' from equation (iii)
When b = 5
⇒ a = 9 - 5
⇒ a = 4
When b = 4
⇒ a = 9 - 4
⇒ a = 5
Therefore, the required two numbers are 4 and 5.
Learn more about equation here:
https://brainly.com/question/13170101
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