determine the domain of each of the real functions
f (x) =
[tex] \sqrt{x2 - 16} [/tex]
f(x) =
[tex] \sqrt{4 - x2} [/tex]
f(x) =
[tex] \frac{5}{ \sqrt{9 - x2} } [/tex]
4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15
Let's first find the mode of each data set.
Mode = the largest value - the smallest value.
A. 20 - 11 = 9
B. 31 - 5 = 26
C. 20 - 11 = 9
D. 15 - 6 = 9
B fails because its mode does not equal 9.
Let's find the mean of A, C, and D
The mean = the sum of all data values divided by the number of data values.
A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2
C. (11 + 11 + 14 + 19 + 20) / 5 = 15
D. (6 + 10 + 14 + 15 + 15) / 5 = 12
Options A and D fail because their mean does not equal 15.
Let's find the median and mode of option C
Median = the value which falls into the middle of our data set
11, 11, 14, 19, 20 = 14
Mode = the value which appears most often
In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.
how do I simplify the expression
-(10)-2
Answer:
First distribute the negative -(10)
it becomes a -10
them add the -10 and -2
and the answer in - 12 because a negative plus a negative equals a negative
Using this system of linear equations: show all of the steps to solve using substitution.
Answer:
(1,5)
Step-by-step explanation:
y=3x+2
x+2y = 11
Substitute the whole value of y to the second equation:
x+ 2 (3x +2)=11
Distribute 2
x+6x+4=11
Combine like terms:
7x=7
x=1
Plug in the x value to any equation:
y=3(1)+2
y=3+2
y=5
If g(x) = x2 + 12, what does f(8) equal?
48
76
66
28
Asap pls
AC
B is between the points A and C on
Write an equation using the information in
terms of x. Find x, AB, and BC.
AB = 8x + 5
BC = 5x - 9
AC = 74
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
Given,
B is between points A and C on AC.
AB = 8x + 5
BC = 5x - 9
AC = 74
We need to write an equation using the information in terms of x
We also need to find x, AB, and BC.
If there is a point between two points of a line, the sum of the two lines separated by the point is equal to the line given.
Example:
M______N____________O
Then,
MN + NC = MO
Find the equation that represents AC with point B between A and C.
We have,
A______B___________C
AB = 8x + 5
BC = 5x - 9
AC = 74
Now,
AC = AB + BC
74 = 8x + 5 + 5x - 9
74 = 13x - 4
13x - 4 - 74 = 0
Find x.
74 + 4 = 13x
78 = 13x
x = 78 / 13
x = 6
Find AB
AB = 8x + 5
= 8x6 + 5
= 48 + 5
= 53
Find BC
BC = 5x - 9
= 5x6 - 9
= 30 - 9
= 21
Thus,
The equation is given as: 13x - 4 - 74 = 0
The value of x is 6
AB = 53
BC = 21
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How do you find MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
What’s 6 (3x + 5) please
6(3x+5)
6*3x=18x
6*5=30
18x+30 is your answer! I hope this helped! :)
What is the length of side AB of the triangle
the length of sides AB of the triangle is sum of all sides..
Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
Answer:
P=9.0h
Step-by-step explanation:
Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h
The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.
Given,
Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
day = 1 2 3
Hours worked(h) = 5 4 6
Amount paid (p) = $42.50 $34 $51
The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
The slope of the data given,
m = 42.5/5
m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h
From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5
Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.
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Question is incomplete, correct question has added below.
Your cell phone plan costs $29.99 per month plus $0.17 for each text message you send or receive. You have at most $34 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? (with step by step solution).
Answer:34.00-29.99=4.01. 4.01÷0.17=
Step-by-step explanation:
YALL. I NEED HELP FOR SCIENCE
Answer:
i got dis the answer is 13
Step-by-step explanation:
so its going 31 to the right minus 8 so 23 to the right. for it to get to be 10 it would be 13
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km
What is the sum for the expression below? 234+114+312
Answer:
660
Step-by-step explanation:
If you studied “the world in spatial terms” as a geographer, what would you most likely focus on?
A.what natural environment are in an area
B.which culture and traditions are common
C.what to plan for the future
D.where things are located in relation to one another
Answer:
A.) What natural environments are in an area
Step-by-step explanation:
find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)
Answer:
[tex]y = mx + b[/tex]
[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]
PLEASE MARK AS BRAINLIEST
Calculate the sum and enter it, as a fraction in lowest terms, using the
slash (/) for the fraction bar. 4/15 + 7/9
Answer:
47/45 or 1 and 2/45
Step-by-step explanation:
47/45 or 1 2/45
4/15 +7/9
× 3/3. × 5/5
12/45 + 35/45
47/45
Which point represents the vertex of the marked angle?
Α. Α
B. E
C.C
D.B
Answer:
B. E
Step-by-step explanation:
The vertex is the middle of the angle.
I hope this helped!
WILL MARK YOU BRAINLIEST
Answer:
(-4, -0.5)
Step-by-step explanation:
According to the graph ,
[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]
Sorry for the bad handwriting
Workings are in the picture
I don’t understand this please help
Answer:
3rd option
Step-by-step explanation:
-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions
-10 ≥ -5x > -40 divide by 5
-2 ≥ -x > -8 now multiply by -1
2 ≤ x < 8
{(1, 3), (2,5), (-3, -4), (4, -3) (5,-1)} the above is
a function or not a function
the answer is it is function
Does anyone know how to do this?
At the aquarium there are 840 sharks and 630 lion fish, for a total of 1470 fish all together. What is the ratio of fish to sharks?
(Reduce your ratio to lowest terms, for example reduce 15:6 to 5:2
Answer:
7:4
Step-by-step explanation:
The number of sharks at the aquarium is 840
The number of lion fish is 630
The total number of fish is 1470
Therefore the ratio of fish to sharks can be calculated as follows
= 1470/840
= 7:4
Hence the ratio of fish to sharks is 7:4
What is the greatest common
factor of the following three
numbers?
12, 18,32
Answer:
2
Step-by-step explanation:
12:1,2,3,4,6,12
18:1,2,3,6,9,18
32:1,2,4,8,16,32
h.c.f = 2
3.409 x 10^-3 In scientific notation.
Answer:
Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.
0.003409
4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
If SLDG is an isosceles trapezoid, what is the value of x?
SD-x5
LG - 5x+21
O A. 26
O B. 23
O C. 13
O D. 18
O E. 24,5
O E Cannot be determined
Answer:
13
Step-by-step explanation:
Applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
What is an Isosceles Trapezoid?An isosceles trapezoid has two congruent legs and two diagonals that are congruent.
Given:
SD = 8x - 5LG = 6x + 21Thus:
SD = LG
Substitute
8x - 5 = 6x + 21
Combine like terms and find x
8x - 6x = 5 + 21
2x = 26
x = 26/2
x = 13
Thus, applying the definition of the diagonals of an isosceles trapezoid, the value of x is: C. 13.
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Convert 6 7/20
into a decimal
Answer:
6.35
Explanation:
7 divided by 20 is 0.35+6= 6.35
2x+8 + 3x+6 = 7x i need help fast
Answer:
x=7 Hope this helps :)
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+3x+6=7x
Step 1: Simplify both sides of the equation.
2x+8+3x+6=7x
(2x+3x)+(8+6)=7x(Combine Like Terms)
5x+14=7x
5x+14=7x
Step 2: Subtract 7x from both sides.
5x+14−7x=7x−7x
−2x+14=0
Step 3: Subtract 14 from both sides.
−2x+14−14=0−14
−2x=−14
Step 4: Divide both sides by -2.
−2x
−2
=
−14
−2
x=7
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 8 + 3x + 6 = 7x}[/tex]
Add the like terms : 2x and 6
[tex] \dashrightarrow{ \sf{5x + 8 + 6 = 7x}}[/tex]
Add the numbers : 8 and 6
[tex] \dashrightarrow{ \sf{5x + 14 = 7x}}[/tex]
Move 7x to left hand side and change it's sign
Similarly, move 14 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{5x - 7x = -14}}[/tex]
Subtract 7x from 5x
[tex] \dashrightarrow{ \sf{ - 2x = - 14}}[/tex]
Divide both sides by -2
[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{-14}{ - 2}}} [/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{x = 7}}}[/tex]
Hope I helped!
Best regards! :D
Evaluate R - Y for R = -2 and Y= -7
Answer:
5
Step-by-step explanation:
Replace variables with integers
(-2) - (-7)
Solve.
-2 - (-7) --> -2 + 7 --> 5