Answer:
90 hours
Step-by-step explanation:
{14, 4, -21} is the range of the function if the domain is {-2, 0, 5}
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
To find the range of the function, we need to plug each value in the domain into the given function and see what output (y-value) we get.
When x = -2:
y = -5(-2) + 4 = 14
When x = 0:
y = -5(0) + 4 = 4
When x = 5:
y = -5(5) + 4 = -21
So the range of the function is {14, 4, -21}.
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Is x = 7 a solution to the equation 3x - 4 = 15? No Yes
Answer:
no
Step-by-step explanation:
To determine if x = 7 is a solution.
Substitute x = 7 into the equation and if left side equals right side then it is a solution
3(7) - 4 = 21 - 4 = 17 ≠ 15
Then x = 7 is not a solution to the equation
No, x = 7 is not the solution of Equation 3x - 4 = 15
What is an Equation?An Equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that an Equation 3x - 4 = 15
Solving x = 7 we get,
3*7 - 4 = 21 - 4 = 17
17 ≠ 15
Hence, x = 7 is not a solution of the given Equation.
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Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?
A) $11,390
B) $112,250
C) $123,640
D) 227,800
Will give Brainliest please help!!!!!!!!!!!!!!
Answer:
4⁷
Step-by-step explanation:
Rule of exponents is:
aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾
4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷
Answer:
Step-by-step explanation:
If it's what i think it is, it's answer with letter ABecause main part if same, you just write it again and exhibitors get collected5+2= 7. I hope i helped you!Carlos has equal numbers of classical songs, country
songs, and pop songs loaded on his personal music player.
He has it set to play songs on a random shuffle. Suppose
Carlos is designing a simulation that could be used to
estimate the probability that the next three songs to play
are all country songs.
Which simulation design could Carlos use to estimate the probability?
Answer:
Step-by-step explanation:
A
The simulation design could Carlos use to estimate the probability is option D.
Option D is the correct answer.
We have,
In this simulation design:
Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.
He assigns the numbers 1, 2, and 3 to represent classical songs.
The numbers 4, 5, and 6 represent country songs.
The numbers 7, 8, 9, and 0 represent pop songs.
By generating random digits and observing their values,
Carlos can simulate the random shuffle of his music player.
He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.
These instances would correspond to the occurrence of three consecutive country songs.
Thus,
By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.
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Find the slope of the line through the points (4,5) and (-7,6)
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
i need help on this pls
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
What is the value of 4a ^2 when a = 3?
Answer:
36
Step-by-step explanation:
4×(3)²
4×9
36
Part I
What is the area of the side yard?
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
Dashboard
< Exit
Topics 1-8 Cumulative/Benchmark Assessment
00:00
Simplify the expression below:
3(7x) – 2(4 - x)
Answer:
23x - 8
Step-by-step explanation:
The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
Here, we have,
given that,
the expression is:
3(7x) – 2(4 - x)
now we have to simplify this expression.
so, we have,
3(7x) – 2(4 - x)
= 21x - 8 + 2x
adding the like terms we get,
=> 23x - 8
Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
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Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=
Answer:
smaller answer x=-9
larger answer x=1
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+14=23
[tex]x^{2}[/tex]+8x-9=0
D=64+36=100
[tex]x_{1} =\frac{-8+10}{2} =1[/tex]
[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]
so, smaller answer x=-9
larger answer x=1
Answer:
x = - 9, x = 1
Step-by-step explanation:
Given
x² + 8x + 14 = 23 ( subtract 23 from both sides )
x² + 8x - 9 = 0 ← in standard form
(x + 9)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9 ← smaller answer
x - 1 = 0 ⇒ x = 1 ← larger answer
find x / solve for x
Answer:
Step-by-step explanation:
Create and solve an equation of ratios:
5 x
--- = ----
4 8
Cross multiplying yields 4x = 40, or x = 10
Jackson can do 15 chin-ups in 60 seconds. At this rate, how many chin-ups can he do in 108 seconds?
Answer:
1620 I think. I'm not rlly sure but this seems,like the correct answer from my calculations.
Find the volume of the sphere.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest hundredth.
radius is 8
Answer:
volume = 682.67π units³ or 2143.58 units³
Step-by-step explanation:
volume = 4/3πr³
volume = 4/3π8³ = 4/3π(512)
volume = 682.67π
Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.
Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32
Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
x^(2)-4x-17=0
Please show work step by step
Step-by-step explanation:
It seems here that they are asking us to solve for x
to do this we first need to factor
Since we can't factor this using the normal method we can instead do this
x^2 -4x-17=0
add 4 to both sides as it is a perfect square
x^2 - 4x + 4 = 17 +4
(x-2)^2 = sqrt 21
x-2 = ± 4.58
x -2 = 4.58 x-2 = -4.58
x= 6.58 x=-2.58
Or just say x=2+√21 or x=2−√21
Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.
Year
1910
1920
1930
1940
1950
1960
1970
1980
1990
2000
Median Age
25.1
24.6
24.3
24.3
22.8
22.8
23.2
24.7
26.1
26.8
What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.
Answer:
its a on edg 2021
Step-by-step explanation:
The median age of a man at the time of his first marriage is, on the average, constant.
What is the average change rate?It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.
Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.
Determine the rate of change between 1950 and 1960.
The average rate of change = [f(a) - f(b)]/ [ a - b ]
The average rate of change is equal to (22.8 - 22.8) / 10 = 0.
As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.
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if i get 20 dollars per 5 minutes for 10 hours how many dollars will i make
Answer:
2400 dollars
Step-by-step explanation:
600 minutes in 10 hours
600/5 = 120
120*20 = 2400 dollars
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
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. If x = -4 and y = 2x – 1, then y equals what number?
Answer: y = -8x - 1
Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1
(please mark as brainliest) :D
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]
[tex]\large\textsf{y = 2(-4) - 1}[/tex]
[tex]\large\textsf{2(-4) = \bf -8}[/tex]
[tex]\large\textsf{-8 - 1}[/tex]
[tex]\large\textsf{= \bf -9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help please help no links
Answer:
dum bot answerd
Step-by-step explanation:
Which of the following expressions represents the distance between −3.9 and −4.7?
Choice a: ∣−4.7−3.9∣
Choice b: ∣−3.9−4.7∣
Choice c: none of the above
NEED NOW
(Absolute value)
Answer: Choice C: none of the above
Step-by-step explanation:
The distance between two numbers would be |(number 1) - (number 2)|
--------------------------------------------------------------
Given
Number 1=-3.9
Number 2=-4.7
|(number 1) - (number 2)|
=|(-3.9) - (-4.7)|
=|-3.9+4.7|
The choice is not available.
Therefore, it is none of the above.
Hope this helps!! :)
Please let me know if you have any questions
!!!!!Based on the data in the table above, how is the age distribution of Texas' population projected
to change in the future?!!!!!
Answer:
Step-by-step explanation:
What is the approximate area of the circle shown below?
O A. 49 cm2
O B. 191 cm2
O C. 96 cm2
O D. 24.5 cm
Answer:
B. 191 cm2
Step-by-step explanation:
have a nice day!!! :)
The area of the Circle is 191.03 cm².
Option B is correct.
What is Area of Circle?Geometric shape of a circle with a closed plane. A circle is a locus of a point that moves around a fixed point at a fixed distance away from the point.
The space occupied by a circle in a two-dimensional plane is defined as its area. Conversely, the area of a circle is the space occupied within the boundary/circumference of a circle.
The area of a circle is calculated as A = πr², where r is the radius of the circle.
Given:
r = radius = 7.8cm
π = 3.14
So, area of Circle
= πr²
Now, substitute the values we get
= 3.14 x 7.8 x 7.8
= 3.14 x 60.84
= 191.03 cm²
Thus, the Area of Circle is 191.03 cm².
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What is the circumference in centimeters of the circle 24cm
Answer:
75.36
Step-by-step explanation:
C= 2 pi r
c= d pi
c= 24*3.14
c= 75.36
PLEASE HELPPP ME!!!
complete the table.
do not put the link/site it gives me ur info and i can hack it lol.
Answer:
-28.5
-5
-11.8
-4.5
Step-by-step explanation:
From that data provided for Monday
Temperature at noon = temperature at midnight + the change in temperature
-32 + 20 = -12
Temperature on Tuesday's noon = -17.5 + (-11) = -28.5
Temperature on Friday's noon = -21.8 + 17.3 = -4.5
From that data provided for Monday
Temperature at midnight = temperature at noon - change in temperature
-12 - 20 = -32
Temperature on Wednesday's midnight = 10.5 - 15.5 = -5
From that data provided for Monday,
change in temperature = temperature at noon - temperature at midnight
-32 - (-12) = 20
Change in temperature on Thursday = -24 - (-12.2) = -11.8
If a basketball is bounced from a height of 15 feet, the function f(x)=15(.75)^x gives the height of the ball in feet of each bounce, where x is the bounce number. What will be the height of the 5th bounce? Round to the nearest tenth of a foot.
Answer:
3.5595feet
Step-by-step explanation:
Given the function f(x)=15(.75)^x which models the height of the ball in feet of each bounce, where x is the bounce number. The height after the 5th bounce will be gotten by substituting x = 5 into the function
f(x)=15(.75)^x
f(5)=15(.75)^5
f(5)=15(0.2373)
f(5)= 3.5595
Hence the height after the 5th bounce is 3.5595feet
Answer:the answer is 3.6 if you’re rounding to the nearest 10th of a foot
Step-by-step explanation:
.75 to the power of 5 times 15
ggsfgsrgr help please
Answer:
The answer is m=0.10L
Step-by-step explanation:
You just input the values in L in the equation to get M you just do process of elimination
Por recomendación médica, Marta sale a caminar en la mañana y en la noche. En la mañana recorre 1,2 km cada hora, mientras que en la noche recorre 1,5 km cada hora. Si en la mañana dedica 1,3 horas a caminar y en la noche 1,6 horas, ¿Cuántos kilómetros camina de lunes a viernes?
Answer:
19.8km recorre Marta
Step-by-step explanation:
Las horas que recorre Marta en la mañana de cada día son:
1.3 horas * (1.2km / h) = 1.56km en la mañana
Y en la Noche de cada día:
1.6 horas * (1.5km / h) = 2.4km en la noche
Esto significa que cada día recorren:
1.56km + 2.4km = 3.96km diarios.
De lunes a viernes (5 días) Marta recorre:
3.96km * 5 =
19.8km recorre Marta