Write the domain and range of the function as an inequality
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
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Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
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The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *
Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
Give the place of the digit 1 in 296,518.4
296,518,417
Answer:
296,518.4 the one is in the tenths place sunce it's after the decimal
296,518,417 the first 1 in 518 is in the tenths place but the 2nd .. 1 is in the tens place bc no decimal
PLEASE HELP!!! I WILL GIVE BRAINLIST!
Answer:
Ok
Step-by-step explanation:
What’s the question
14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enjoy playing baseball?
Answer:
124
Step-by-step explanation:
14 -22=8
8= the number of students that didn't like playing baseball
Somehow 8 = 800%
if you subtract 800%-308 it gives you -124
124 students don't like playing baseball
Can someone help me create a slope story???
Answer:
I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.
Step-by-step explanation:
y axs = elavation
x axs = time
Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(
Matthew is going on a trip to Hawaii and takes a limo to the airport. The driver says it will cost $20 plus 12 cents a mile. Matthew lives 50 miles from the airport. please hurry to answer
Answer:
$26
Step-by-step explanation:
Step one:
given data
cost of limo=$20
cost per mile= 12cent to dollar = $0.12
Step two:
let the total cost be y
and the number of mile be x
the model for the situation is
y=mx+c
Step three:
given x=50mile
y=0.12(50)+20
y=6+20
y=26
$26
Matthew will spend $26 to get to the hospital
C= 0.41 + 0.26(m-1) solve for m
Answer:
m=(c-0.15)/0.26
Step-by-step explanation:
c=0.41+0.26m-0.26
0.26m=c-0.15
m=(c-0.15)/0.26
Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick
Answer:
[tex]y=2x-1[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The question provides both the slope m=2 and the y-intercept b=-1.
Thus, substituting:
[tex]\boxed{y=2x-1}[/tex]
two in 1 more points
Answer:
Your photo wont show up
Step-by-step explanation:
Answer:
Hello
1. B. 2.35 * 10^11
2. A. 3 * 10^-2
tia has 53 balloons equally among 4 kids how many balloons will be left over
Answer:
There will be 1 balloon left over.
Step-by-step explanation:
Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.
Answer:
1Step-by-step explanation:
Because 4 times 13 = 52
4 times 13.25 = 53
Each kid will get 13, but
in return, you will get 1 of your balloon's left.
Hope this helps! <3
How do you solve 26 = 18v Equation
Answer:
v = 1.444
Step-by-step explanation:
v = 26/18
v = 1.444
Answer:
26 = 18v
=> 26 / 18 = v (By the law of transposition)
=> 13/9 = v
=> 1.44444 repeating = v (After solving)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.
Write an equation of the graph in slope-intercept form.
A. y=-100/3x+450
B. y=100/3x-450
C. y=450x+100/3
Answer:
omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs
Step-by-step explanation:
Answer:
Option A. y=-100/3x+450 is correct.
Step-by-step explanation:
In the diagram below, m
Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
To learn more about triangles click :
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PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY
Answer:
(-0,1)
Really sorry if it's wrong! Have a good day!!
What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?
Answer:
y=5x+6
Step-by-step explanation:
The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (2, 16).
And, The parallel line is,
⇒ y = 5x + 8
Now,
Since, The equation of line passes through the point (2, 16).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 5x + 8
m = dy/dx = 5
m = 5
Thus, The equation of line with slope 5 is,
⇒ y - 16 = 5 (x - 2)
⇒ y - 16 = 5x - 10
⇒ y = 5x - 10 + 16
⇒ y = 5x + 6
Therefore, The equation of line passes through the point (2, 16) will be;
⇒ y = 5x + 6
Learn more about the equation of line visit:
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I really need the answers or im dead
Answer:
graph it and all of the #s will be negitive
Step-by-step explanation:
Answer:
W: (1, 4)
X: (4, 4)
Y: (6, 2)
Z: (5, 1)
Step-by-step explanation:
Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)
J: (-4, 1) ⇒ W: (1, 4)
K: (-4, 4) ⇒X: (4, 4)
L: (-2, 6) ⇒ Y: (6, 2)
M: (-1, 5) ⇒ Z: (5, 1)
25 grams of crackers for $5.00
How much per gram of crackers?
Answer:
$0.50
Step-by-step explanation:
Answer:
0.20
Step-by-step explanation:
5.00 divided by 25
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
HELP PLS (picture below)
C
Because it will equal 5,260 but all the other are bigger
What is the area of a circle with a diameter of 8 cm?
256 cm^2
64 cm^2
8 cm^2
16 cm^2
Is this a function or no
Answer: Yes it is a function
Step-by-step explanation:
Answer:
YES
Step-by-step explanation:
5x+2y=10
Solve for y
Answer: y=(-5x/2)+5
Step-by-step explanation:
There is no clear cut explanation for this. y cannot directly equal a number. Let me show you.
Subtract 5x from both sides.
5x-5x+2y=10-5x
2y=-5x+10
Then to get to y to being by itself, divide by 2 on both sides
(2y/2)=(-5x+10)/2
y=(-5x+10)/2----> or -5x/2 + 10/2
y=(-5x/2)+5
10 is 6% of what
number?
Answer:
60
Step-by-step explanation:
10 × 6 is 60. if it asks the % of a number, you multiply the number by %
Answer:
60
Step-by-step explanation:
hope this helps
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
If a student is on the basketball team, then he has practice after school. If there is practice after school, then the student needs to find a ride home other than the bus. Jamal is on the basketball team.
A. Jamal does not have practice after school.
B. Jamal needs to find a ride home other than the bus.
C. Jamal can ride the bus home.
D. no conclusion
Answer:
B. Jamal needs to find a ride home other than the bus.
Step-by-step explanation:
This conclusion can be made from the prompt.
Hope this helps!
Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me
Answer: 498,173.26.
Step-by-step explanation:
Place value of the 9 in 329,513 = 9,000
9 is 10 times the value of the 9 in 329,513.
Then, place value of 9 in required number = 10x 9,000 = 90,000
from options only 95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)
Also, 2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.
place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]
i.e. place value of 2 in required number 2 tenths
which is in 498,173.26 [place value of 6 is [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]
Hence, th required number is 498,173.26.
Tell whether the equation has one, zero, infinitely many solutions.
3 ( y-2) = 3y - 6
infinitely many solutions
Step-by-step explanation:Hi there !
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 | + 6
3y = 3y
true ∀ y ∈ R
Good luck !
Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20
Answer:
3:4 and 15:20
Step-by-step explanation:
The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!