The range exist on all real values. This can be written as (-infty, infty)
Range of a functionThe range is the value of the dependent variable for which it exists. Given the following functions
f(x) = |x| + 9 and;
g(x) = -6
Determine the sum
(f+g)(x) = |x| + 9 + (-6)
(f+g)(x) = |x| + 9 -6
(f+g)(x) = |x| + 3
Determine the range of the function
The range exist on all real values. This can be written as (-infty, infty)
Learn more on range here: https://brainly.com/question/1466393
#SPJ1
any help is great find the missing length?
Answer:
3Step-by-step explanation:
Similar = proportional
solve with an equation
12 : 9 = 4 : x
x = 4 * 9 : 12
x = 3
Is 0.2775 a rational number
Answer:
yes it is
Step-by-step explanation:
It is a rational number, as it can be written as a fraction.
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
guys help just with part b for number 2!
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
What is the value of the underline digit?
119.65
Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10
Answer:
a) 13
b) 1/3
c) -2
d) 1
Step-by-step explanation:
This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:
For example:
f(x) = 3x + 7
f(2) = 3(2) + 7
f(2) = 6 + 7
f(2) = 13
________
f(-3) = 3x + 7
f(-3) = 3(-3) + 7
f(-3) = -9 + 7
f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.
f(-3) = -2
The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:
For example:
f(x) = 8
f(x) = 3x + 7
8 = 3x + 7
8 - 7 = 3x
1 = 3x
x = 1/3
f(x)= 10
f(x) = 3x + 7
10 = 3x + 7
10 - 7 = 3x
3 = 3x
3/3 = x
1 = x
I hope this helps!
chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down
Since it is said to be a hollow rectangular prism, she will fill it with sand to weigh it about (573 + 9/2) cubic inches.
What is the prism about?
Note that the volume is said to be:
V = L x B x H
316 in = 6 √2 x 2 √3
The answer is 573 while the other part of the prison is 9√2 cubic inches.
Therefore, option A is correct.
See full question below
Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it
down
6 √(2 in
316 in
2 √3 in
What is the volume of the bookend?
(Hint: The volume of a rectangular prism is the product of its length width and height.)
OA (573 + 9/2) cubic inches
B. 36/12 cubic inches
C 108 cubic inches
D. 216 cubic inches
Learn more about prism from
https://brainly.com/question/23963432
#SPJ1
4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
Learn more about slope on:
brainly.com/question/13657991
#SPJ1
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?
A beam measuring 2 meters can support 172 kilograms
How to determine the weight?The variation is a direct variation.
So, we have:
w = kl
Where k is the constant of variation.
When l = 5, w = 430.
This means that:
430 = 5k
Divide both sides by 5
k = 86
So, we have:
w = 86l
When l = 2, we have:
w = 86 * 2
Evaluate
w = 172
Hence, a beam measuring 2 meters can support 172 kilograms
Read more about variation at:
https://brainly.com/question/6499629
#SPJ1
Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
Learn more on variation here: https://brainly.com/question/6499629
#SPJ1
Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8, 9).
Step-by-step explanation:
Solution,Given,Coordinates of A and B are (2,3) and(8,9) respectively. Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)Midpoint of AB(m)=?Now,using midpoint formulam= {(x1+x2)/2 ,(y1+y2)/2}or m= {(2+8)/2,(3+9)/2}.°. m=(5,6)Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]
=(2+8/2);(3+9/2)
Midpoint= (5, 6)
Step-by-step explanation:
Find A and B if Cos(A - B) = (sqrt(3))/2 ; Sin(A + B) = 1
There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
5 blue, 4 red = 9 total
Probability (Blue, Blue) = 5/9 x 5/9 = 25/81 = 0.30864
Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753
Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173
Fraction answer = 41/81
Decimal answer = 0.506173 (round off as needed)
help me please i still struggle
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
Is y=2x-3 a funtion?
Answer:
yes
Step-by-step explanation:
Yes.
The graph of y = 2x - 2 is a straight line sloping up to the right.
It passes the vertical line test, so it is a function.
A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line
Answer:
If I am not mistaking it should be -7.5
Step-by-step explanation:
Answer:
b = -15/2
y = -3x -15/2
Step-by-step explanation:
The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.
__
intercepty = mx + b . . . . . . . equation of a line with slope m and y-intercept b
y -mx = b . . . . . . . . subtract mx from both sides
For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...
b = -3/2 -(-3)(-2) = -3/2 -6
b = -15/2 . . . . . the value of b for this line
__
equation of the lineThen the equation for the line is ...
y = mx +b
y = -3x -15/2
Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
Learn more about price on:
brainly.com/question/1153322
#SPJ1
I have a bag with 6 marbles numbered from 1 to 6. mathew has a bag with 12 marbles numbered from 1 to 12. matthew chooses one marble from his bag and i choose two from mine. in how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles equals the number on his?
Answer:
It would be 30.
Step-by-step explanation:
If we make a list of all the sums that we can get, we have:
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.
That gets us to 15x2 which is 30.
The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
I have a bag with 6 marbles numbered from 1 to 6.
Mathew has a bag with 12 marbles numbered from 1 to 12.
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways,
Since order matters, and we could do 2+1 instead of 1+2.
15 x 2 which is 30.
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ1
What is the scale factor for XYZ TO UVW?
Answer:
D. 2
Step-by-step explanation:
If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.
Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus
Answer:
the answer is 40
Step-by-step explanation:
A = 10 x 8 over 2 which is 40
I need help on this please
Answer:
-22
Step-by-step explanation:
each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative
hope this helped!