The rate of change is 1/2.
the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
What is the rate of change?
Here we have a simple linear function:
y = (1/2)*x + 3
Remember that for a general linear function we have:
y = a*x + b
Where a is the rate of change and b is the y-intercept.
Then comparing our function with the general one, we can see that the rate of change is 1/2.
Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.
And when x tends to negative infinity also does f(x).
Then the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
If you want to learn more about linear functions:
https://brainly.com/question/4025726
#SPJ1
I need help asap!!!! Thanks
Answer:
Your answer would be y= 1716-143x
Step-by-step explanation:
This is because you are starting with the initial price of $1716 and want to find out how many months (x) it will take to pay off the computer if he pays $143 per month.
Answer:
B y = 1716-143x
Step-by-step explanation:
cuz its right
10 is at most the quotient of 5 and a number n? What the number form
5,526,572,333 lottery tickets were sold last year. this year 4,223,526,869 lottery tickets were sold. about how many more tickets were sold last year than this year?
1303045464 more tickets were sold last year than this year.
According to the given question.
Number of lottery tickets were sold last year = 5,526,572,333
And, the total number of tickets sold this year = 4,223,526,869
To find the how many more tickets were sold last year than this year, we will subtract the number of of tickets sold this year from the number of lottery tickets were sold last year.
Therefore, the numebr of more tickets were sold last year
= 5,526,572,333 - 4,223,526,869
= 1303045464
Hence, 1303045464 more tickets were sold last year than this year.
Find out more information about subtraction here:
https://brainly.com/question/213283
#SPJ4
When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t), can be measured by the following piecewise defined function: S of t is equal to the piecewise function of 140 minus 6 times t if 0 is less than or equal to t is less than or equal to 4 and 116 if 4 is less than t is less than 8 and 96 plus 8 times t if 8 is less than or equal to t is less than or equal to 12 where t is the time, in hours, since taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 8 a.m., in which interval will their systolic pressure be lowest?
The interval where the systolic pressure will be lowest is from 12 PM to 2 PM.
What are the domain and ranges of a function ?
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
A function S(t) is defined for systolic pressure.
S(t) = { 140 - 6t , for 0 ≤ t ≤ 4 }
S(t) = { 116 , for 4 < t < 8 }
S(t) = {96 + 8t , for 8 ≤ t ≤ 12 }
Let's find the values of systolic pressure [tex]S(t)_{min}[/tex] for each cases.
When , 0 ≤ t ≤ 4
[tex]S(t)_{min}[/tex] = 140 - ( 6 × 4 )
[tex]S(t)_{min}[/tex] = 140 - 24
[tex]S(t)_{min}[/tex] = 116
When , 4 < t < 8
[tex]S(t)_{min}[/tex] = 116
When , 8 ≤ t ≤ 12
[tex]S(t)_{min}[/tex] = 96 + ( 8 × 8)
[tex]S(t)_{min}[/tex] = 96 + 64
[tex]S(t)_{min}[/tex] = 160
So , the lowest value of S(t) will be 116 for for 4 < t < 8 and interval will be from 12 PM to 2 PM.
Therefore , the interval where the systolic pressure will be lowest is from 12 PM to 2 PM.
Learn more about functions here ;
https://brainly.com/question/17959481
#SPJ1
(simple computation) the formula for computing the discriminant of a quadratic equation ax^2 bx c
discriminant = b * 2 - 4 * a * c the formula for computing the discriminant .
What is quadratic equation?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”quadratic equation ax^2 }+ bx+ c = 0
a = 3 b = 4 c = 5 discriminant = b * 2 - 4 * a * c print("discriminant is", discriminant)
Learn more about algebraic equation
brainly.com/question/953809
#SPJ4
11 1/2 + 9 1/4 =????????
This box is inch long, inch wide, and inch deep. What is the volume of the box?
inch³
My Progress
32
inch,
inch³
3
inch
1 inches
inch
23/10
inch³
Done →
From the given data
The length of the box is 32 inch
The breadth of the box is 3 inch
The deep of the box is 1 inch
We have to find the volume of the box
Formula of volume is
volume = length × breadth × height
volume = 32×3×1
volume = 96 inch³
The volume of the box is 96 inch³.
What is geometry?A field of mathematics known as geometry is described as "concerning the measurement, characteristics, and relationships of points, lines, angles, surfaces, and solids." Geometry is a branch of mathematics that focuses on points, lines, forms, and surfaces.
To know more about Geometry,
visit:https://brainly.in/question/886634
#SPJ9
How many significant figures does this number have?
0.00000004 g
4
8
7
1
The number of significant figures in the number is 1
How to determine the number of significant figures in the number?The number is given as
0.00000004
The zeros (0) in the number are not significant digits
So, we have:
0.00000004 ⇒ 4
The number 4 has 1 digit
Hence, the number of significant figures in the number is 1
Read more about significant figures at
https://brainly.com/question/24491627
#SPJ1
Eight college students recorded how many hours they exercised every week. Then they measured their pulse (heartbeats per minute) while they were resting.
-
What relationship does the graph show?
1.) A positive relationship: The more you exercise, the higher your resting pulse.
2.) A negative relationship: The more you exercise, the lower your resting pulse.
3.) There is no relationship: Exercise has no effect on your resting pulse.
10 / 243.16 pls help me
Answer: hope it helps!!
0.0411251850633
Desmos graphing calculator is very helpful for these types of problems...
Answer:
Step-by-step explanation:
Expand [tex]\frac{10}{243.16}[/tex]
by multiplying both numerator and the denominator by 100.
[tex]\frac{1000}{24316}[/tex]
Reduce the fraction
[tex]\frac{1000}{24316}[/tex]
to lowest terms by extracting and canceling out 4.
[tex]\frac{250}{6079}[/tex]
A class is making bags of candy for the school. They have 96 red candies, 72 blue candies, and 48 yellow candies What is the greatest number of bags they can make if each bag has the same contents?
Answer:
1 bag with all of them is the greatest bag im joking ofcourse
but
red
96
1. 96 cut
2. 48 cut
3. 32 cut
4. 24
6. 16
8. 12
blue
72
1. 72 cut
2 36 cut
3. 24
4. 18
6. 12
8. 9
yellow
48
1. 48 cut
2. 24
3 16
4. 12
6 8
Step-by-step explanation:
red
4. 24
blue
3. 24
yellow
2. 24
so 24 bags is the greatest number of bags
with
one bag having 4 red candies, 3 blue candies, and 2 yellow candies
h(x) = ³√x - 3 write the inverse given the function
The inverse of the function h(x) = ³√x - 3 is h⁻¹(x) = (x + 3)³.
What is termed as the inverse of the function?An inverse function is one that reverses the action of another function. A function g has become the inverse of a function f when and only when y=f(x) and x=g (y). In other words, using f and then g is equivalent to doing nothing. This can be written as g(f(x))=x in terms of the combination of f and g.The given function is-
h(x) = ³√x - 3
Put y = h(x);
h(x) = y = ³√x - 3
Make x the subject;
x = (y + 3)³
Replace x with h⁻¹(y) = (y + 3)³
Restate with x instead of y.
h⁻¹(x) = (x + 3)³
Thus, the inverse of the function h(x) = ³√x - 3 is h⁻¹(x) = (x + 3)³.
To know more about the inverse of the function, here
https://brainly.com/question/2873333
#SPJ9
Determine the y-intercept for the equation 3x + 2y = 12.
Group of answer choices
Step-by-step explanation:
Hope this helps with the problem
A bee flies at 15 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 16 minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 18 minutes. Whats the distance?
Answer:
The distance between hive and flower bed is 2250 feet
Step-by-step explanation:
What is:
2 + | -5 + 4 |
Answer: 2
Step-by-step explanation: 2 + 1 =3 and 3 - 5 is -2 so -2 + 4 would equal 2
Hope this helps : P
Please help giving brainliest
Answer:
(d) (-6, 0)
Step-by-step explanation:
Given graphed inequalities and a list of points, you want the point that is a "solution."
AssumptionsWe assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.
SolutionEach of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.
The point (-6, 0) is a solution.
__
Additional comment
We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.
The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"
A repair company's charge for repairing a certain type of copy machine fits the model where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)
It will take 138 minutes for the repair cost to reach $140
Although part of your question is missing, you might be referring to this full question: A repair company's charge for repairing a certain type of copy machine fits the model y = 47.38 +0.617x. Where y is the number of dollars charged and x is the number of minutes the repair person is on the job. how many minutes would it take for the cost of repair to reach $140? (round to the nearest minute.)
As per the question:
Number of dollars charged by the company = y dollars
Number of minutes the repair person is on the job = x minutes
The cost that needs to be achieved = 140 dollars
Equation:
y = 47.38 + 0.617x------(1)
For the cost of repair to reach $140, substituting $140 in y in equation (1)
140 = 47.38 + 0.617x
Solving further and finding the value of x
140 - 47.38 = 0.617x
92.62 = 0.617x
x = 138 minutes (rounded to the nearest minute)
So, it will take 138 minutes for the repair cost to reach $140
Learn more about algebra:
https://brainly.com/question/19245500
#SPJ4
Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
3.5 x 10 8
0.35 x 10 9
3.5 x 10 9
0.35 x 10 25
The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity written in scientific notation is 0.35 x 10^9. option B
Scientific notation(3.185 × 10^17) ÷ (9.1 × 10^8)
= (3.185 ÷ 9.1) × 10^(17-8)
= (0.35 × 10^9)
Therefore, the quantity (3.185 × 10^17) ÷ (9.1 × 10^8) written in scientific notation is (0.35 × 10^9).
Learn more about scientific notation:
https://brainly.com/question/27862246
#SPJ1
11. Twenty-four students in Jamal's class are wearing tennis shoes. There are
thirty students in his class. Jamal says that 70% of his class is wearing
tennis shoes. Is Jamal correct? Explain your reasoning.
Answer: Incorrect.
Step-by-step explanation: 24 out of 30 is 80.00%.
Step 1: We make the assumption that 30 is 100 % since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100 % = 30.
Step 4: In the same vein, x % = 24 .
Step 5: This gives us a pair of simple equations:
100 % = 30(1).
x % = 24(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100 % / x % = 30/24
Step 7: Taking the inverse (or reciprocal) of both sides yields
x/100 = 24/30
x = 80 %
Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
3(x-2)=4(x+1)=-22
The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,
⇒ x = 12
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given the function is,
3 (x - 2) - 4 (x + 1) = -22
Now, We can solve the expression as,
3 (x - 2) - 4 (x + 1) = -22
Use Multiplicative property;
3x - 6 - 4x - 4 = -22
Use addition and subtraction property,
- x - 10 = - 22
Use addition property and Add 22 both sides;
- x - 10 + 22 = - 22 + 22
- x + 12 = 0
Use subtraction property, Subtract 12 both sides;
- x + 12 - 12 = 0 - 12
- x = - 12
Multiply by -1 in both sides,
x = 12
Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,
⇒ x = 12
Learn more about the linear expression visit:
https://brainly.com/question/10839449
#SPJ1
i got this question on a test
1+7
a.blank
b.rabbit
c.blank
d.chicken
Answer:
d
Step-by-step explanation:
it's d because chicken has 7 letters and than +d which is 8 (the test might be hard )
[tex]\left[\begin{array}{ccc}1&&10\\2&&15\\3&&20\end{array}\right][/tex]Whats the verbal rule and the tenth term?
Answer:
أنا بصراحة لا أعرف
Step-by-step explanation:
أنا بصراحة لا أعرف
أنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرفأنا بصراحة لا أعرف
Evaluate. 7+2^2⋅6+2^3−6
A.31
B.33
C.68
D.I don't know.
Answer:
B.33
Step-by-step explanation:
Searched it up.
At a student government fundraiser, a notebook costs $5 and a t-shirt costs $11. If the total received for 70 items was $500, how many notebooks were sold"
O 20
O 25
O 45
O 50
Answer:
45
Step-by-step explanation:
t = number of t-shirts
n = number of notebooks
n + t = 70
5n + 11t = 500
n = 70 - t
5(70 - t) + 11t = 500
350 - 5t + 11t = 500
6t = 150
t = 25
n + t = 70
n + 25 = 70
n = 45
Answer: 45
Answer:
45
Step-by-step explanation:
Find the value of UV
X=15 I think
Answer:
UV = 12
Step-by-step explanation:
SV = ST + TU + UV ( substitute values )
4x - 29 = 13 + 6 + 2x - 18
4x - 29 = 1 + 2x ( subtract 2x from both sides )
2x - 29 = 1 ( add 29 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Then
UV = 2x - 18 = 2(15) - 18 = 30 - 18 = 12
show work needed with this question!
Answer:
The final value is 8750
Step-by-step explanation:
First step is to find the increase
3500 * 150%
3500 * 1.5
5250
Now we need to add the increase to the starting value
3500 + 5250
8750
The final value is 8750
2x-9=5x what is the value of x
The value of 'x' of the given equation 2x - 9 = 5x is -3.
What exactly is an equation?In its most basic form, an equation is a mathematical statement that proves two mathematical expressions seem to be equal.3x + 5 = 14 is an equation in which the expressions 3x + 5 and 14 are kept separate by an equal sign.
So,
2x - 9 = 5x2x - 5x = 9- 3x = 9x = -9/3x = -3/1x = -3Therefore, the value of x of the given equation is -3.
Know more about equations here:
brainly.com/question/2972832
#SPJ1
There are 4 triangles and 20 squares. What is the simplest ratio of triangles to total shapes?
Answer:
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
To simplify the ratio of 4:20, we find the greatest common divisor of 4 and 20, and then we divide 4 and 20 by the greatest common divisor. And your answer is for every 1 triangle there is 5 squares.
A triangle contains vertices A (-3, 2), B (1, 2), and C (-4,-2).
If AABC is rotated 90° counterclockwise around the origin, what are the coordinates of the transformed figure AA'B'C'?
The coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is A' (-2,-3) , B' (-2,1) , and C' (2,-4).
When the points are rotated 90° counterclockwise then the new coordinates will be transformed to
(x , y ) = (-y , x)
According to the question we have been the coordinates of the ΔABC which are :
A = (-3,2) , B = (1,2) and C = (-4,-2)
When the triangle is rotated 90° counterclockwise the new coordinates will become
A' = (-2,-3)
B' = (-2,1)
C' = (2,-4)
Hence the coordinates of the triangle A'B'C' which is rotated 90° counterclockwise is A' (-2,-3) , B' (-2,1) , and C' (2,-4).
Learn more about transformation here : https://brainly.com/question/1620969
#SPJ9
If 5²ˣ ⁻ ³=1 , then x=
A 0.4
B 0.6
C 1.5
D 1.6
E 2
Answer:
goooodddddd luccckk
the answer is 1.5