Which of the following functions is graphed below?
15
10
5
o
.
0
6
2
8
N
-4
- 8 -6
ch
O A. y-
fP-2.x <1
1x2 +4.21
- 2x21
B. y -
PR-2x > 1
O C. y -
OD. 1-2x51
1.4.> 1
Answers
Answer:
B
Step-by-step explanation:
B
The functions which are graphed below are 1-2x51 1.4.> 1, the correct option is D.
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We are given that;
The graph of the function
Now,
Let’s apply these steps to your question. The given piecewise function has three pieces:
f (x) = {−2x, x < −1 −|x|, −1 ≤ x ≤ 1 2−x2, x > 1 f ( x) = { − 2 x , x < − 1 − | x | , − 1 ≤ x ≤ 1 2 − x 2 , x > 1
The first piece is a linear function with slope -2 and y-intercept 0. It is defined for all values of x less than -1. To graph this piece, we can use two points: (-2,4) and (-1,-2). We use an open circle at (-1,-2) because this point is not included in this interval.
The third piece is a quadratic function with vertex at (0,2). It is defined for all values of x greater than 1. To graph this piece, we can use three points: (0.5, 3/4), (1,0), and (2,-2). We use an open circle at (0.5,3/4) because this point is not included in this interval.
The final graph looks like this:
To find which option matches the given graph, we can compare their equations with the given pieces.
Option A has f(x) = -|x| when -∞ < x < ∞. This does not match any of the pieces.
Option B has f(x) = -|x| when -∞ < x ≤ -3 or -3 < x ≤ ∞. This does not match any of the pieces.
Option C has f(x) = -|x| when -∞ < x ≤ ∞. This matches only one of the pieces.
Option D has f(x) = {−2x,x<−12−x,x≥−12 f(x)=−2xx<−12−xx≥−12 . This matches none of the pieces.
Therefore, by the given graph the answer will be 1-2x51 =1.4.> 1
Learn more about finding the solution graphically here:
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Related Questions
Pls help ahahahhahaha
Answers
Step-by-step explanation:
x=30° { ins angle inscribed angle Standing on arc are equal }
hope it helps
stay safe healthy and happy...Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree
PLEASE HELP ME
Answers
Answer:
<S= 88degrees
<Q = <R = 46degrees
Step-by-step explanation:
Since the base angles of the isosceles triangle are equal hence;
<Q = <R
5x - 14 = 4x -2
5x - 4x = -2 +1 4
x = -2 + 14
x = 12
Since <Q = 5x - 14
<Q = 5(12) - 14
<Q = 60 - 14
<Q = 46degrees
Also <Q = <R = 46degrees
Similarly; <S + <Q + <R =180
<S +46 + 46 = 180
<+92 = 180
<S = 180 - 92
<S= 88degrees
Can someone help me? It's urgent and thank you!
Answers
Answer:
15.2%
Step-by-step explanation:
There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.
You multiply these 2 values together.
5/12 * 4/11 = 20/132 = 0.1515
This is about 15.2%
Answer:
option b : 15.2 %
Step-by-step explanation:
5 Red , 4 Blue, 3 Yellow
Total balls = 12
[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]
If it costs $16.50 to bowl twice with a shoe rental and $28.50 to bowl 4 times with a shoe rental how much does the shoes cost
Answers
Answer:
Shoe rent is $4.5
Step-by-step explanation:
Let the shoe rent is "x" which will remain the same irrespective of the number of bowling and "y" is bowling.
thus, x + 2y = 16.50
Rewrite, x = 16.50 - 2y
When bowling is 4 time then:
x + 4y = 28.50
Rewrite, x = 28.50 - 4y
Now solve both equations for the value of "y".
Thus, 16.50 - 2y = 28.50-4y
-2y + 4y = 28.50 - 16.50
2y = 12
y = 6
Insert y = 6 in the x - 2y = 16.50
x = 16.50 - 2y
x = 16.50 - 2 (6)
x = $4.5
Shoe rent is $4.5
Simplify
(2m^4)^4*-n^5
this is the last questions but I'm confused
Answers
Answer:
-16m^16 n^5
Step-by-step explanation:
(2m^4)^4*-n^5
= 2^4*m^16*(-n^5)
= 16 m^16 * (-n^5)
= -16m^16 n^5
hopefully this will help
Remember the rule
(a^m)^n=a^mnevaluate 9!/6!3!
plz helppp:)))
Answers
Answer:
84 :-)
Step-by-step explanation:
Find the value of x
Does anybody know this?
Answers
Answer:
x = 45 °
Step-by-step explanation:
We know that the sum of all angles if right angle triangle is 180 °.
90 ° + x + x = 180°
90 ° + 2 x = 180 ° ...( combine like terms)
2 x = 180 ° - 90 °.. ( subtract 90° from 180° )
2 x = 90°
x = 90° /2 ....( divide by 2 )
x = 45 °
Please help its due at 11 am
Answers
Answer:
maximum
Step-by-step explanation:
This graph has a maximum because the parabola faces downwards. If the parabola faced upwards, then the graph would be minimum.
Hope this helps
Answer:
Maximum so sorry if Wong
solve the equation:
[tex]4 \sqrt{3 - \frac{1}{x} } - \sqrt{ \frac{x}{3x - 1} } = 3[/tex]
Are the solutions of the equation solutions of
[tex] \frac{(1 - 2x)^{2} \times (x^{2} - 9) }{ -{x}^{2} - x + 6} \geqslant 0[/tex]
?
Answers
Answer:
Step-by-step explanation:
[tex]4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\[/tex]
[tex]\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}[/tex]
when a=-1/4
[tex]\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\[/tex]
[tex]\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}[/tex]
[tex]\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x<2\\so~ solution~ is~ (-\infty,-3)U(-3,2)U[3,\infty)[/tex]
case 2.
both numerator and denominator are negative.
[tex]x-3\leq 0\\x\leq 3\\-x+2\leq 0\\-x\leq -2\\x\geq 2\\solution~is~(-\infty,-3)U(-3,3]U[2,\infty)[/tex]
Which of the following is acceptable justifications to use in geometry when justifying statements about segments and
angles?
A Theorems, Defintions, Postulates, Conjectures
B. Patterns, Defintions, Conjectures, Assumptions
C. Theorems, Defintions, Assumptions, Properties
D. Theorems, Defintions, Postulates, Properties
Please select the best answer from the choices provided
ОВ
оооо
ОС
Answers
Answer:
D.
Theorems, Defintions, Postulates, Properties
Step-by-step explanation:
A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.
Answers
Answer:
C. 24%
Step-by-step explanation:
hope it works
Answer:
39%
Step-by-step explanation:
Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...
Hint: Write a formula to help you. 1st term + common difference(desired term - 1)
Answers
Answer:
a₁₅ = 71
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 - 1 = 5 , then
a₁₅ = 1 + (14 × 5) = 1 + 70 = 71
Step-by-step explanation:
hear is your answer in attachment
Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP
Answers
Answer: b
Step-by-step explanation:
becuz now brainliest
The transformation of a function may involve any change. The correct option is A.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,
h(x) = f(x) + 1
The function is shifted up by 1 unit.
Hence, the transformation of the function is correctly described in the first option.
Learn more about Transforming functions:
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there are 15 tickets in a box each bearing one of the a number from 1 to 15 one ticket is drawn at random from the box find the probability of event that the ticket drawn shows an even number and shows a number which is multiple of 5
Answers
Answer:
(i) no. of favourable out comes =7 i.e. {2,4,6,8,10,12,14}
∴ P=
15
7
(ii) no. of favourable outcomes =3 i.e {5,10,15}
∴ P=
15
3
=
5
1
Step-by-step explanation:
thats my answer thank you
HELP FAST LOL HAHAHAH
Answers
Answer:
184
Step-by-step explanation:
First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.
3y+x=5, x-3y=12, y=3x-2, 6y-2x=7 which two of these are parallel??
Answers
Answer:
X-3Y=12 and 6Y-2X=7
Step-by-step explanation:
Step 1: Write all the equations in the form y=mx+c, where m represents the gradient.
Step 2: Find the equations with same value of m, ie., same gradient.
NB: Same gradient means that the lines are parallel.
Answer:
if you want to find which lines are parallel you must look at the slopes
Step-by-step explanation:
and you for this you must alone x
1) 3y=-x+5 slope is -⅓
2)3y=x-12 slope is ⅓
3)y=3x-2. slope is 3
4)6y=2x-7 slope is 2/6=⅓.
Finally the answer is 2 and 4 is parallel
A rectangle has a length of 2x+7 and a width of 3x+8.
Write and simplify an expression for the perimeter of that rectangle
Answers
Answer:
2(2x+7)=4x+14
2(3x+8)=6x+16
4x+14+6x+16
4x+6x+14+16
The answer is:
10x+30
Help Please... 15 points :)
Answers
Answer:
√100 = 10, √36 = 6, √225 = 15
Step-by-step explanation:
100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.
[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]
[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]
[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Terrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.
Answers
Answer:
$280
Step-by-step explanation:
Please find attached the image of the tent
cost of the tent = cost per square inch x total surface area of a triangular prism
total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)
Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²
1000 x 2 = 2000
Perimeter = 50 + 50 + 50 = 150
150 x 80 = 12,000
total surface area = 12,000 + 2000 = 14,000
Total cost = 14,000 x 0.02 = $280
1, 2, 5, 9, Rule i-
what is the rule
Answers
Answer:
it is an infinite rule guiding it
which following algebraic statements are true
Answers
Answer:
All of them are true.
Step-by-step explanation:
x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.
For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.
For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.
This means that all of the statements are true.
What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?
Answers
Answer:
(-2, -2)
Step-by-step explanation:
To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.
-8/4=-2
Answer:
It would be (-2, -2)
Solve the following system by using substitution.
4x+2y=18
y=x+3
Answers
PLEASE HELP ME, Am given 60 points!! NO CAP
What is the ratio of the length of JK to the length of MN?
Answers
help please, kind of confused
Answers
Answer:
Step-by-step explanation:
Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and likewise with the last 2 terms:
[tex](2d^4+6d^3)-(18d^2-54d)[/tex] and factor out what's common in each set of parenthesis:
[tex]2d^3(d+3)-18d(d+3)[/tex]. Now you can what's common is the (d + 3), so factor that out now:
[tex](d+3)(2d^3-18d)[/tex] BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):
[tex](d+3)2d(d^2-9)[/tex] BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:
[tex](d+3)2d(d+3)(d-3)[/tex]. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):
[tex]2d(d+3)^2(d-3)[/tex] is the completely factored and simplified answer, choice 3)
Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?
48o
56o
93o
101o
Answers
Answer:
C) 93o
Step-by-step explanation:
Trust the process
edge 2021
Answer:
Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D
Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?
Answers
Answer: 7$
Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7
GUYS MY THIRD TIME ASKING FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}
Answers
10a
5b
5n
There are 55 students
There are 50/55 that play a string or brass that’s 10/11 or about 90%
Answer:
35=10+5+5
35=20+p
35-20=p
p=15
Find the product mentally.
(r - s)^2
A) r^2 - 2 rs + s^2
B) r^2 - rs + s^2
C) 2 r^2 - rs - s^2
Answers
Step-by-step explanation:
A is the answer to the question
A) r^2 - 2rs+s^2
...............................
Fill in the blank: 7(4x + 7) = 28x +_
_
Answers
Answer:
49
Step-by-step explanation:
7(4x + 7)
=7*4x + 7*7
=28x +49
Answer:
28x + 49
Step-by-step explanation:
7(4x + 7) = 28x +
28x + 49
