[tex]\\ \sf\longmapsto f(x-1)=2x+3[/tex]
Think about the value f(x-1) and f(-3).f(-3) can be written in the form of f(x-1) .How?
[tex]\\ \sf\Rrightarrow f(-3)=f(-2-1)[/tex]
As -3=-2-1Let's find x then
[tex]\\ \sf\Rrightarrow x-1=-3[/tex]
[tex]\\ \sf\Rrightarrow x=-3+1[/tex]
[tex]\\ \sf\Rrightarrow x=-2[/tex]
Now Substitute it in the function[tex]\\ \sf\longmapsto f(-2-1)=2(-2)+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-4+3[/tex]
[tex]\\ \sf\longmapsto f(-3)=-1[/tex]
Serious help needed what is the domain and range
Answer:
domain: all real numbersrange: -1 ≤ y ≤ 5 or -1 ≤ y < ∞Step-by-step explanation:
The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.
__
The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...
the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.
The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.
_____
Additional comment
The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
2+2×4 that is my question i need help
Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
Answer:
10
Step-by-step explanation:
so we need to use PEMDAS
2×4=8
8+2=10
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
HELP PLEASEEEE what is the range of 0,5,10,15,20,25
5
11
20
25
Answer:
25!
Step-by-step explanation:
Subtract the highest and lowest so its 25:)
Answer:
25
Step-by-step explanation:
Range is the largest number minus the lowest
3. Write the equation of the altitude from B for A(-7,-5) B(-5,5), C(2, 1).
Answer:
y -5 = -3/2(x +5)
Step-by-step explanation:
The altitude from B is perpendicular to segment AC. The slope of segment AC is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-5))/(2 -(-7)) = 6/9 = 2/3
The slope of the altitude line will be the opposite reciprocal of this, so is ...
-1/m = -1/(2/3) = -3/2
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = -3/2(x +5) . . . . . line with slope -3/2 through B(-5, 5)
_____
Additional comment
The equation can be put in other forms, as you may wish. Solving for y gives the slope-intercept form.
y = -3/2x -5/2 . . . . . slope-intercept form
3x +2y = -5 . . . . . . . standard form
What percent of 55 is 44?
The number 44 is 80% of the number 55.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the numbers are 55 and 44. The percentage will be calculated below,
55 x X% = 44
X% = ( 44 x 100 ) / 55
X% = 80%
Therefore, the number 44 is 80% of the number 55.
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PLEASE HELP WILL MARK BRAINEST!!!
they biked 220 kil
that is the answer
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answer:
see
Step-by-step explanation:
The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)
Answer: 4/3
Step-by-step explanation:
How do I do that I need desperat help pls
9 because 12 + is greater than/equal to 9+3
pls answer quickly
which of the following measurement is the smallest?
A) kilogram
B) Gram
C) centigram
D) milligram
Answer:
D, milligram.
Step-by-step explanation:
In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.
Answer:
Milligram I think
Step-by-step explanation:
I could be wrong however
Help please Pretty plz
Answer:1/10
Step-by-step explanation:
Start by multiplying 1/100 by 1/10
The answer will be 1/1000
Which pairs of figures are congruent? Which pairs are similar?
Answer: Look at the explanation
Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.
Congruent figures have the same shape and size.
Similar figures have the same shape but different size.
The 1st figure is not congruent but it is similar.
2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.
3rd figure is both, congruent and similar which are both triangles.
4th figure is neither. There is a circle and an elipse, which are both round but different shapes.
By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.
Hope this helps. Happy learning!
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
318+954
Step-by-step explanation:
divide 1272 by 2 to get what they would cost if they were the same amount then divide that by 2 to get 318 times that by 3 to get 954 and add 318 to get 1272
The required cost of the couch and coffee table is $848 and $424 respectively.
Given that,
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
let the cost of the coffee table be x,
Now the cost of the couch = 2x
According to the question,
2x + x = 1272
x = 424
now,
Cost of the couch = 424 [2] = 848
Thus, the required cost of the couch and coffee table is $848 and $424 respectively.
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determine which graph shows Y is a function of x PLEASE HELP ASAPPP
Answer: The Horizontal line at 5
Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.
Hope this helps!
Answer: C
Step-by-step explanation:
PLEASE ANSWER!!!!!!!!!! I'LL GIVE BRAIN !!!!!!!!!!!!!!!!!!!!!! A _______ is a ratio that compares two things with different units of measurement.
rate
coordinate
cross
unit
Answer:
RATE
Step-by-step explanation:
Answer:
A. Rate
Step-by-step explanation:
A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.
Hope this helps.
4) The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________
b) At what depth did they stop to look at the octopus? ______________________
a) Write an expression to describe the journey of the yellow submarine.
-> ((0 - 40) + 30) - 25
[] Sea level = 0
[] The descend 40 meters = -40
[] After examining the sea, they rose 30 meters = + 30
[] They dove 25 meters to look at an octopus = -25
b) At what depth did they stop to look at the octopus?
-> -35 meters
[] The started at 0 (0), descended 40 (-40), rose 30 (-10), and then sove 25 (-35) to see the octopus
[] Another way to think of this is to simplify our previous expression completely
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
I need answers to these questions
Answer is in the attached file...
the square roots of 8 and 2
Answer:
4.82842712475
Step-by-step explanation:
hope you get it
It is 4.82842712475
I used a calculator
PLS ANSWER URGENT
1. Larry writes a list of numbers that has average 14, median 21 and mode 11
(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?
(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?
Answer:
See step-by-step below!
Step-by-step explanation:
a) Moe's list:
Average=26
Median=33
Mode= 23
b) Curly's list
Average= 28
Median= 42
Mode= 22
A 7-pound bag of cat food costs $13.93. What is the unit price?
Answer:
$1.99 is the unit price
Step-by-step explanation:
13.93 divided by 7 determines the unit price
What is the measure of the angle in the polygon shown below?A.B.C.D.
C.130°
Answer:
Solution given:
no of sides(n)=6
now
total interior angle of polygon having 6 sides is
(n-2)*180=(6-2)*180=4*180=720°
we have
Sum of interior angle of polygon: 720°
130°+100°+130°+130°+100°+?=720°
590°+?=720°
?=720°-590°
?=130°
Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?
Answer:
57°
Step-by-step explanation:
Let's assume the measurement of the second angle is x.
so, following the problem
(2x + 9) + x = 180
2x + x = 3x
=> 3x + 9 = 180
=> 3x = 180 - 9
3x = 171
x = 171/3
x = 57°
57° is the smallest angle
plass help brainlist if possible compare 9/10 and 7/5
Answer:
9/10 < 7/5
Step-by-step explanation:
7/5 = 14/10
9/10 < 14/10
Answer:
7/5 is greater than 9/10
Step-by-step explanation:
7/5 = 14/10
helpppppppppppppppppppppp plzzzzzzzzzzzzzz
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
Find the area of a garden with a length of 3 1/2 yards and a width of 2 2/3 yards
Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
Find the product of (4z2 7z â€"" 8) and (â€""z 3). The product of (4z2 7z â€"" 8) and (â€""z 3) is â€""4z3 z2 z â€"" 24.
The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
We are to find the product of (4z^2+7x-8) and (-z+3)
Product = (4z^2+7z-8)(-z+3)
Using the distributive law:
[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]
Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
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