Answer:
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
Step-by-step explanation:
The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.
__
[tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]
The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
_____
Additional comment
The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.
ANOTHER 1 HELP ME OUTT
Answer:
the last one
Step-by-step explanation:
(clustered around 1 and 3)
Answer:
The data are clustered from 1 to 3, so most teams won 1 to 3 games.
Step-by-step explanation:
There is only 1 dot at 8 and more near 1-3
An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?
a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars
A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.
What is a survey?A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.
This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.
Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.
A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.
To know more about the survey follow
https://brainly.com/question/18273502
#SPJ7
Question 5 of 10
Factor the polynomial: x(3x + 5) - 4(3x + 5)
A. -4x(3x + 5)
B. (3x + 5)(x + 4)
C. 4x(3x + 5)
D. (3x + 5)(x-4)
HURRY PLEASE
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Take (3x + 5) common in there :
[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]
[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]
So, choice D is correct
Solve the system of equations.
5x−4y=−10
y=2x−5
Answer:
x = 10
y = 15
Step-by-step explanation:
5x − 4y = −10 ⇒ ( 1 )
y = 2x − 5 ⇒ ( 2 )
Let us find the value of x.
For that, we can replace y with ( 2x - 5 ).
Let us take equation 1.
5x − 4y = −10
5x - 4 ( 2x − 5 ) = -10
5x - 8x + 20 = -10
-3x = -20 - 10
-3x = - 30
Divide both sides by ( -3 ).
x = 10
And now let us find the value of y.
Let us take equation 2.
y = 2x − 5
y = 2 × 10 - 5
y = 20 - 5
y = 15
Answer:
X=10
Step-by-step explanation:
5x-4y=-10.....1
y=2x-5......2
sub 2 into 1
5x-4(2x-5)=-10
5x-8x+20=-10
5x-8x=-10-20
-3x=-30
x=10
sub x=10 into 2
y=2(10)-5
y=20-5
y=15
Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat this process 300 times, how many times would you expect the two cubes to add to exactly 7? ASAP
Answer:
50 times.
Step-by-step explanation:
When the 2 number cubes are rolled once:
The possible outcomes for a total of 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
= 6 outcomes.
The total of all possible outcomes = 6 * 6 = 36.
So Prob( total of 7 in one throw of teh 2 cubes) = 6/36 = 1/6.
For 300 throws you would expect the total of 7 to occur
1/6 * 300 = 50.
Answer:
Step-by-step explanation:
50 IS THE ANSWEr
At an intersection in Normal, Illinois, there were 90 vehicle accidents with 168,199 vehicles passing through the intersection. Determine the accident rate per 1000 vehicles.
What is the vertex for this function?
y=2x^2−12x+16
(-2, 12)
(-2, 3)
(-12, 36)
(3, -2)
Answer:
Step-by-step explanation:
hello :
y=2x²−12x+16
y = 2(x²-6x+9-9)+16
y = 2(x-3)²-18+16
y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)
Can someone help me do these i don't understand them?
Answer:
they are extension in computer
Solve for an angle in right triangles. Round answer to the nearest hundredth
Answer:
A = 44.42°
Step-by-step explanation:
SohCohToa
Soh = sin(theta)= opp/hyp
Coh = cos(theta)= adj/hyp
Toa = tan(theta)= opp/adj
Coh = cos(theta)= adj/hyp
cos(A)= adj/hyp
cos(A)= 5/7
A = cos^-1(5/7)
A ≈ 44.4153086
A = 44.42°
help i need help i mark branliest
Answer:
48°
Step-by-step explanation:
Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.
Answer:
The measure of angle 7 is 48 degrees
Step-by-step explanation:
Angle 5 and 7 are opposite angles. Opposite angles are congruent.
a bank offers a savings account with a yearly simple interest rate of 2 percent. suppose you deposit 550 into savings account. how much simple interest will you earn in 4 years? in 4 years and 6 months.
I WILL GIVE YOU 30 IF YOU JUST HELP ME PLEASE?
Answer:
In 4 years you will get 44 and in 4 years and 6 months you will get 49.5
Step-by-step explanation:
550*0.02= 11 (yearly interest)
11*4 years= 44
11/12months=0.917
0.917*6 months= 5.5
44+5.5=49.5 (4 years and 6 months interest)
Expand the logarithmic expression log3(2xy3z5). Question 9 options: A) 2(log3x + 3log3y + 5log3z) B) log32x + log3y3 + log3z5 C) log32 + log3x + 3log3y − 5log3z D) log32 + log3x + 3log3y + 5log3z
Answer: D
Step-by-step explanation:
[tex]\log _{3}\left(2 x y^{3} z^{5}\right) \\ =\log _{3} 2+\log _{3} x+\log _{3} y^{3}+\log _{3} z^{5}[/tex]
[tex]\left(\because \log _{c}(a \cdot b)=\log _{c} a+\log _{c} b\right)[/tex]
[tex]=\log _{3} 2+\log _{3} x+3 \log _{3} y+5 \log _{3}z \rightarrow \left(\because \log _{c} a^{b}=b \log _{c} a\right)[/tex]
Therefore, Option D is the correct answer
compute the probability of tossing a six-sided die and getting a number less than 3
Answer:
We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.
Out of those 6 sides, they want to find out if we can roll a number less than 3.
First, let's find how many numbers there are on this die that are less than 3.
1 and 2, so there are 2 sides that contain numbers less than 3 on this die.
So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.
1/3 probability.
Convert this into a percent if you'd want:-
1/3 · 100
= 33.333... which can be rounded to a 33% probability.
10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?
Answer: -6
Step-by-step explanation:
The graph of g is the graph of f translated left 6 units.
Help my 9 year old sister please
Answer:
He multiplied 28 by 7 instead of dividing it.
28 times 7 equals 196.
Step-by-step explanation:
I hope this helps! Have a lovely day!!! :)
The Diameter of the medal is 6cm , thickness is 0,035cm determine the radius of the medal
Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.
Answer:
6.7kg - 2.6kg = 4.1kg
Step-by-step explanation:
6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.
this is k 12 help,
please!!! for (100 points)
Answer:
14 m²
area of sqaure pyramid: a² + 2(a)(l)
a = side of the base l = slant heightarea:
(2)² + 2(2)(2.5)14 m²A drug prescription of 45 pills costs $427. 95. If each pill contains 3 mg of medication, what is the cost per milligrams?
Total milligrams
45(3)135mgCOST PER MG:-
TOTAL COST/total Mg427.95/1353.17$/pillsAnswer:
$3.17
Step-by-step explanation:
1 pill = 3 mg
⇒ 45 pills = 45 × 3 = 135 mg
45 pills = $427.95
⇒ 135 mg = $427.95
⇒ 1 mg = $427.95 ÷ 135 = $3.17
find the possible value of x
Given:
FigureTo find:
Possible values of xSolving:
Using triangle inequality theorem.
[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]
Range = difference < x < Sum
[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]
[tex]\large \tt \implies3 < x < 15[/tex]
_____________________________________Find the quotient and the remainder of
64−133+32+3−12
-------------------------------
−2
Answer:
Below
Step-by-step explanation:
64-133+32+3-12= -46
-46/2= -23
There is no remainder
in a deck of 52 how many card combinations are greater then 16?
need pic pls so I can answer your questions
PLS help me with this picture
Answer:
Collinear points: points that lie on the same straight line or in a single line
Coplanar points: three or more points which lie in the same plane
12. Point collinear with points E and G = C. Point Y
13. Point coplanar with points A, D and H = A. Point E
14. Point coplanar with points A, C and G = A. Point E
15. Point collinear with points B and D = B. Point X
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— ANSWER12. Point collinear with points E and G = C. Point Y13. Point coplanar with points A, D and H = A. Point E14. Point coplanar with points A, C and G = A. Point E15. Point collinear with points B and D = B. Point X•— EXPLANATIONCollinear points — Collinear points are points that lie on the same line.
Coplanar points — Any three points in space that lie on the same plane are called coplanar points.
[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]
(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =
Answer: (51ab^2)/(20c)
STEP
1
:
Equation at the end of step 1
((17•(a3))•(b2)) ((18•(b4))•(c3))
————————————————•————————————————
((15•(b3))•(c2)) ((23a2•b)•c2)
STEP
2
:
Equation at the end of step
2
:
((17•(a3))•(b2)) ((2•32b4)•c3)
————————————————•—————————————
((15•(b3))•(c2)) 23a2bc2
STEP
3
:
(2•32b4c3)
Simplify ——————————
23a2bc2
Dividing exponential expressions :
3.1 b4 divided by b1 = b(4 - 1) = b3
Dividing exponential expressions :
3.2 c3 divided by c2 = c(3 - 2) = c1 = c
Dividing exponents:
3.3 21 divided by 23 = 2(1 - 3) = 2(-2) = 1/22
Equation at the end of step
3
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((15•(b3))•(c2)) 4a2
STEP
4
:
Equation at the end of step
4
:
((17•(a3))•(b2)) 9b3c
————————————————•————
((3•5b3)•c2) 4a2
STEP
5
:
Equation at the end of step
5
:
(17a3 • b2) 9b3c
——————————— • ————
(3•5b3c2) 4a2
STEP
6
:
17a3b2
Simplify —————————
(3•5b3c2)
Dividing exponential expressions :
6.1 b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b
Equation at the end of step
6
:
17a3 9b3c
————— • ————
15bc2 4a2
STEP
7
:
Dividing exponential expressions :
7.1 a3 divided by a2 = a(3 - 2) = a1 = a
Dividing exponential expressions :
7.2 b3 divided by b1 = b(3 - 1) = b2
Dividing exponential expressions :
7.3 c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c
Final result :
51ab2
—————
20c
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
For which values of x is the expression undefined x-8/x-5
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
Consider this graph of a standard normal curve.
What percentage of data is represented by the shaded area?
Enter your answer as a number, like this: 42%
At a concession stand, seven hot dog(s) and four hamburger(s) cost $21:25, four hot dog(s) and seven hamburger(s) cost $22.75 Find the cost of one hot dog and the cost of one hamburger
Step-by-step explanation:
If 4 hamburger = $21.25
1 hamburger = x
Cross multiply
4 x x = $21.25 x 1
4x = $21.25
Devide both side with the coefficient of x
4x/4 = $21.25/4
X = $5.3125
Therefore 1 hamburger cost $5.31
If 4 hotdogs = $22.75
1 hotdog = y
Cross multiply
4 x y = $22.75 x 1
4y = $22.75
Devide both sides with the coefficient of y
4y/4 = $22.75/4
Y = $5.6875
Therefore one hotdog cost $5.69
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
7 hot dogs + 4 hamburgers = $21.504 hot dogs + 7 hamburgers = $22.75Let's set some variables.
hot dogs = xhamburgers = ySo, our equations are :
7x + 4y = 21.504x + 7y = 22.75Mulitply equation #1 by 7 and equation #2 by 4.
49x + 28y = 150.50 (Equation 3)16x + 28y = 91.00 (Equation 4)Subtract equation 4 from equation 3.
49x - 16x + 28y - 28y = 150.5 - 9125x = 59.5x = $2.38 [cost of one hot dog]Substitute value of x in equation 4.
16(2.38) + 28y = 9138.08 + 28y = 9128y = 52.92y = $1.89 [cost of one hamburger]PLS HELP NO LINKS!!!!!!!! 30 POINTS
Answer:
I'm sure it's the second one
Answer:
second answer is correct
Help me please :(( ......
Answer:
1. Last years middle school and highschool softball teams.
2. I can't see the last option
3. Every girl at the local middle school.
4. A group of students at a college.
5. Survey the students selected blindly put of a box containing every students names.
Step-by-step explanation:
I hope these are correct. comment the last option for #2.