on a piece of paper, graph f(x)= x if x<1
Answers
Answer:
see below
Step-by-step explanation:
The function is only defined for x < 1, and is undefined for x=1 or more. Thus the graph stops at x=1, with an open circle indicating the function is not defined there.
Answer:
The required graph is shown in figure 1.
Step-by-step explanation:
Consider the provided function f(x)=x if x<1
Here the sign of inequality is x<1.
That means the value of x can be anything less then 1.
Note the sign "<" indicates that the value x is strictly less than 1 also it is not equal to 1.
For x=1 the function is not defined.
For the inequity "<" and ">" we use an open dot or open circle which shows that the value is not included.
Now draw the table and substitute some value of x as shown.
Substitute x=0 in the provided equation.
f(x)=0
For x=0 the value of f(x) is also 0.
Substitute x=-1
f(x)=-1
For x=-1 the value of f(x) is also -1.
Substitute x=-2
f(x)=-2
For x=-2 the value of f(x) is also -2.
The required table is shown below:
x 0 -1 -2
f(x) 0 -1 -2
Now plot the above points and join them.
The required graph is shown in figure 1.
Related Questions
MARKING BRAINLEST HELP ASAP :))))))) SHOW WORK !!
The rectangle shown has a length of 3x+1 and a width of 2x. Show your work. (3 points)
Find the perimeter.
Find the area.
Find the perimeter and area if x=5.
Answers
Answer:
perimeter = 10x + 2
area = 6x^2 + 2x
perimeter = 52
area = 160
Step-by-step explanation:
perimeter = 2 * length + 2 * width
perimeter = 2(3x + 1) + 2(2x)
perimeter = 6x + 2 + 4x
perimeter = 10x + 2
area = length * width
area = (3x + 1)(2x)
area = (2x)(3x + 1)
area = 6x^2 + 2x
For x = 5:
perimeter = 10x + 2 = 10(5) + 2 = 50 + 2 = 52
area = 6x^2 + 2x = 6(5^2) + 2(5) = 6(25) + 10 = 150 + 10 = 160
What is the volume of the right rectangular prism?
Answers
Answer:
240
Step-by-step explanation:
V=width height length = 10 · 3 · 8 = 240
Hope this helped, have a wonderful day man!
The answer is 240cm^3
Will give 30 points
What is the area of the irregular figure below?
36
48
144
288
Answers
Answer:
36
Step-by-step explanation:
This figure is a trapeoid.
Turning the figure sideways,
A = 1/2 (b1+b2) *h where b1 and b2 are the top and bottom and h is the height
b1 and b2 are the top and bottom so b1 =6 and b2=12 and h is the height so h = 4
A = 1/2 (6+12)*4
A = 1/2 (18)*4
= 9*4
= 36 in^2
The area of the irregular figure is 36 sq. in.
Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,
To find the area of the given figure, we will break the figure into two regular figures,
a) Triangle [base = 4 in and height = 12-6 = 6 in]
b) Parallelogram [base = 4 in and height = 6 in]
Area of a triangle = 1/2 × base × height
Area of a parallelogram = base × height
Therefore,
Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6
= 24 + 12
= 36
Hence the area of the given figure is 36 in².
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Method of Transportation Percent of Students
Bike 3%
Bus 90%
Car 4%
Walk 3%
A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?
Answers
No. Because she only asked the people who was walking to school
Carl is shipping a cardboard box that is a rectangular prism. The net of Carl's box is shown. 4 inches 6 inches H-10 inches What is the area of cardboard, in square inches, required for Carl's box?
Answers
Surface area: 2 × w × l + 2 × l × h + 2 × h × w
Answer:
156 in. squared
Step-by-step explanation:
Select the three sums equivalent to 13/
8.
Answers
Answer:
1.625
Step-by-step explanation:
hurry please answer fast - which expression best estimates 6 3/4 + 1 2/3? a. 7 divided by 2 b. 6 divided by 1 c. 8 divided by 3 d. 3 divided by 2
Answers
Answer:
1863254
Step-by-step explanation:
Answer:
balls
joe
mama
Step-by-step explanation:
After applying the composition / to the point (–5, 3), in which quadrant does the image lie?
A.
I
B.
II
C.
III
D.
IV
Answers
Answer:
B II
Step-by-step explanation:
Answer:quad 1
Step-by-step explanation:
-90 is clockwise and 90 is counter like whatttttttt
what is blank - 9 =19
Answers
Answer:
28
Step-by-step explanation:
19+9=28 and 28-9=19
Hope This Helps! Have A Nice Day!!
28 I think not positive
Find the value of a4 for this geometric series (I’ll add you on discord if you solve my guy and guyetts)
Answers
Answer:
The value of a4 is 6
Step-by-step explanation:
* Lets revise the rule of the geometric series
- There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric series:
- a1 = a , a2 = ar , a3 = ar2 , a4 = ar3 , a5 = ar4
- an = ar^n-1, where a is the first term , r is the constant ratio
between each two consecutive terms and n is the position
of the number in the series
* Now lets solve the problem
- The rule of the series is 2/9 (3)^n - 1
∴ a = 2/9 and r = 3
- To find a4 put n = 4
∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6
∴ The series is 2/9 , 2/3 , 2 , 6 , ........
* The value of a4 is 6
Answer:
r
Step-by-step explanation:
The length of a rectangular garden is represented by 3X -4 and the width is represented by 2X -5. Which of the following represents the total area of the garden
Answers
Answer:
6x^2 - 23x + 20
Step-by-step explanation:
Next time, please share all of the possible answer choices.
Here, A = (3x - 4)(2x - 5) = 6x^2 - 15x - 8x + 20, or
6x^2 - 23x + 20
5x - 2y = 3
-5x + 4y = 9
Answers
The answer is (3,6) x=3 y=6
Answer:
x = 3 / y = 6
Step-by-step explanation:
5x - 2y = 3
-5x + 4y = 9
----------------- (combine the equations)
2y = 12
isolate the variable
y = 6
next, use one of the original equations and substitute in for y to solve for x
5x - 2(6) = 3
multiply
5x - 12 = 3
isolate the variable
5x = 15
divide each side by 5
x = 3
!!!!HELP ASAP ITS EASY IM JUST STUPID!!!!
What is the area of the following trapezoid?
280 mm2
420 mm2
140 mm2
210 mm2
Answers
The area of a trapezoid is [tex]\frac{a+b}{2} h[/tex] so substitute the values.
[tex]\frac{14 + 28}{2} 10[/tex] → [tex]\frac{42}{2} 10[/tex] → 21 * 10 → 210mm²
Hope this helps!!
The area of the following trapezoid is 210mm².
How to calculate the area of a trapezoid?The area of a trapezoid can be calculated if the length of its parallel sides and the perpendicular distance (height) between them is given. The formula for the area of a trapezoid is expressed as,
Area = {(a + b) × h} / 2
Where a and b are the parallel sides and h is the height in the figure below.
In the given question we have, a = 14 mm , b = 28 mm and h = 10 mm.
So, by using the formula for finding the area of a trapezoid,
Area = {(14 + 28) × 10} / 2
= {42 × 10 } / 2
= 420 / 2
= 210
The unit of the area is mm².
Therefore, the area of the following trapezoid is 210 mm².
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X2 = 12 16 48 Help!!!!!
Answers
Answer:
The answer is 48 NOT 12
Step-by-step explanation:
Answer:
Option (2)
Step-by-step explanation:
By using theorem of intersecting secant and tangent at a point outside a circle.
PB × PA = (PQ)²
Since, PB = 2 units
PA = (PB + AB)
= (2 + 6)
= 8 units
PQ = x units
Therefore, by substituting these values,
2 × 8 = x²
[tex]x^{2} = 16[/tex]
Therefore, Option (2) will be the correct option.
The exponential function, f(x) = 2^x, undergoes two transformations to g(x) = 1/3 x 2^x - 7. how does the graph change? select all that apply. A. It is vertically compressed. B. It is vertically stretched. C. It is shifted right. D. It is shifted down E. It is lipped over the x-axis.
Answers
Answer:
A and D
Step-by-step explanation:
Since a (1/3) is less than 1, it is vertically compressed. The -7 is outside of the parenthesis so it is shifting down.
Answer:
options A and D are the correct options.
Step-by-step explanation:
The parent exponential function is f(x) = 2ˣ
Now this function undergoes two transformations to form g(x) = [tex]\frac{1}{3}(2^{x})-7[/tex]
When parent function f(x) = 2ˣ is multiplied by [tex]\frac{1}{3}[/tex], this means f(x) has been compressed vertically because [tex]\frac{1}{3}[/tex] < 1.
Now we subtract 7 from the new function [tex]\frac{1}{3}[/tex] [tex](2^{x})[/tex], that means we are shifting this function 7 units downwards on y-axis.
Therefore, options A and D are the correct options.
Which answer choices represents an expression
Answers
Answer:
A
Step-by-step explanation:
Madison's expression equals 8z and so does the answer.
Answer:
Answer: A
Step-by-step explanation:
This is an example of the associative property of multiplication. The general way it is written is (a*b)*c = a*(b*c) It means that the order of multiplication does not matter.
The one that looks like that for your question is
(z*2)(4) = z * (2 * 4)
Both give an answer of 8z
A
which of the following equations was used to graph the line shown B).y=x÷2 D).y=x+2
Answers
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
So it seems you were able to eliminate a and c. Good job. :)
y= x/2 is the same as y= 1/2 * x + 0 (this is now in the form y= mx +b.)
y= x+ 2 is already in (y=mx+b) form, with m being 1.
now what you can do is look at the individual parts of these equations.
the b is the y intercept. So when x is 0, y is b. in the y= 1/2 x + 0 equation, we know when x= 0, y= 0.
for the y=x + 2, we know that when x= 0, y= 2. Since this is not a point on the line shown, we know that it is not correct. Therefore, your answer would be y= 1/2 x, or y= x/2.
You could also find this using slope, but the y- intercept (b) was simpler to explain and find. :)
Let f(x) = 1/x and g(x) = x^2 + 4x. What
two numbers are not in the domain of fºg?
Answers
Answer:
0 and -4
Step-by-step explanation:
We have been given the following functions;
f(x) = 1/x
g(x) = x^2 + 4x
The first step would be to evaluate the composite function fºg.
fºg = f[g(x)]. We substitute g(x) in place of x in f(x)
fºg = [tex]\frac{1}{g(x)}=\frac{1}{x^{2}+4x}[/tex]
This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.
We solve for x;
[tex]x^{2}+4x=0\\\\x(x+4)=0\\x=0\\x=-4[/tex]
Therefore, the two numbers that are not in the domain of fºg are 0 and -4
For this case we have the following equations:
[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2 + 4x[/tex]
We must find (f_ {o} g) (x):
By definition of composition of functions we have to:
[tex](f_ {o} g) (x) = f (g (x))[/tex]
So:
[tex](f_ {o} g) (x) = \frac {1} {x ^ 2 + 4x}[/tex]
We must find the domain of [tex]f (g (x)).[/tex] The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
[tex]x ^ 2 + 4x = 0\\x (x + 4) = 0[/tex]
So, the roots are:
[tex]x_ {1} = 0\\x_ {2} = - 4[/tex]
The domain is given by all real numbers except 0 and -4
Answer:
x other than 0 and -4
What are the slope and y-intercept of the linear equation below y=2\3x - 1
Answers
Answer:
2/3 is the slope and
-1 is the y intercept
Step-by-step explanation:
y = 2/3 x -1
This is in the form y = mx+b where m is the slope and b is the y intercept
2/3 is the slope and
-1 is the y intercept
Answer:
2/3 slope, -1 y intercept.
Step-by-step explanation:
Equations in y=mx+b forms follow these rule- y is the dependent variable, and x is the independent variable; m is the slope and b is the y intercept.
This means that the m, or slope is 2/3, and the y intercept is -1.
PLEASE HELP JUST NEED TO PASS THIS GEOMETRY TO BE DONE
What are possible coordinates of point F if ΔDEF is congruent to ΔABC?
(–1,4)
(4,–1)
(0,–1)
(–1,0)
Answers
(–1,4)
Step-by-step explanation:Shapes are congruent if you can turn one into the other by moving, rotating or flipping. We can use this symbol [tex]\cong[/tex] to show that two things are congruent. Two triangles are congruent if and only if all the corresponding legs are congruent. The only point that makes the corresponding legs to be congruent is [tex](-1,4)[/tex]. Why? because we can match these two triangles by flipping the red one two times and moving it into the blue one.
Answer:
(–1,4)
Step-by-step explanation:
If sin theta =0.3090, what is the approximate value of csc theta
Answers
Answer:
If sine theta = .3090 then arc sine theta =
18 degrees
Then we look up csc 18 degrees which = 3.2361
Step-by-step explanation:
Answer:
cscΘ ≈ 3.2362
Step-by-step explanation:
Using the trigonometric identity
• cscx = [tex]\frac{1}{sinx}[/tex] , then
cscΘ = [tex]\frac{1}{0.3090}[/tex] ≈ 3.2362
Which has a greater volume; two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm or one family size can of soup, which has a diameter of 10 cm and a heigh if 12 can? Explain and give your calculations.
Answers
Answer:
The two regular cans of soup has a greater volume than the family size can of soup
Step-by-step explanation:
step 1
Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm
The volume is equal to
[tex]V=2[\pi r^{2} h][/tex]
we have
[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter
[tex]h=10\ cm[/tex]
substitute
[tex]V=2[\pi (4)^{2} (10)][/tex]
[tex]V=320\pi\ cm^{3}[/tex]
step 2
Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter
[tex]h=12\ cm[/tex]
substitute
[tex]V=\pi (5)^{2} (12)[/tex]
[tex]V=300\pi\ cm^{3}[/tex]
therefore
Compare the volumes
[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]
The two regular cans of soup has a greater volume than the family size can of soup
The two-way table below describes
Answers
Answer:there is not answer we need more info
Step-by-step explanation:
in the rectangular pyramid below , the length ,i , is 27cm , the width , w , is 30 2/3cm , and the height , h , is 9cm. What is the volume of the pyramid ?
Answers
Answer:
A. 2,484
Step-by-step explanation:
27×30 2/3× 9= 7,452
7,452÷3= 2,484
Volume of rectangular pyramid is 2,484.27 cm³
Given that;Length of pyramid = 27 cm
Width of pyramid = [tex]30\frac{2}{3}[/tex] cm = 30.67 cm
Height of pyramid = 9 cm
Find:Volume of rectangular pyramid = [(l)(w)(h)] / 3
Volume of rectangular pyramid = [(27)(30.67)(9)] / 3
Volume of rectangular pyramid = [7,452.81] / 3
Volume of rectangular pyramid = 2,484.27 cm³
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please help ill give brainliest
Answers
Answer:
42
Step-by-step explanation:
Answer:
42 people chose Turkey
Step-by-step explanation:
Create a proportion:
22/28 = 33/x
Cross multiply:
28(33)/22 = x
42= x
A person invests 9000 dollars in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14000 dollars?
Answers
Answer:
[tex]7.4\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]
substitute in the formula above
[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]
[tex](14/9)=(1.005)^{12t}[/tex]
Apply log both sides
[tex]log(14/9)=(12t)log(1.005)[/tex]
[tex]t=log(14/9)/[(12)log(1.005)][/tex]
[tex]t=7.4\ years[/tex]
philip ask julie to pick a number at random from 1 to 100, and then asks shelly to do the same. what is the probability that both will select 49? show your work
Answers
Answer:
[tex]\frac{1}{10000}[/tex]
Step-by-step explanation:
In probability, "AND" means Multiplication
"OR" means addition
There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).
Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.
[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]
Can y’all try to solve some of these for me?
Answers
Answer:
The 3rd problem on mondays answer is 2:1
The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.
The 5th problem on monday is 41
The 6th problem on monday is 13,12,11
Can't read the whole problem for the 7th question on monday
the 8th problem on monday is 55 and 8/15
That is the answers for monday hope this helps
Step-by-step explanation:
The players height is standard deviation above the mean?
Answers
Answer:
Step-by-step explanation:
Z score is the number of standard devations above the mean.
For example if z=1, the data value is 1 st. dev. above the mean.
So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.
You need to guess on a multiple-choice question that has four options.
What are the odds that you choose the correct answer?
Answers
Answer:
Its a 25% chance you choose the correct answer
Also 1/4 odds
1/4 (or 25%)
There are four possible outcomes, so the denominator of the fraction is 4.
There is only one correct answer, so the numerator of the fraction is 1.
This means the probability is 1/4, or 25%.