Answers
Answer:
Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]
Step-by-step explanation:
We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.
The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.
Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".
Related Questions
Solve for X please and thank you
Answers
Answer:
x = 48
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is
2(2 + x) = 10² = 100 ( divide both sides by 2 )
2 + x = 50 ( subtract 2 from both sides )
x = 48
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
Answers
h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Composite functions
Given the following fnctions
[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]
The composite function g(f(x)) is expressed as:
[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Learn more on composite function here: https://brainly.com/question/10687170
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answers
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332
Answers
Answer:
b)252 is the answer
Step-by-step explanation:
x\42=6
x=6*42
x=252
Solve for the variable. 1) 8 - X-X=-16
plsss help me explain me slow
Answers
Answers: x = 12
Explain:
Collect the terms
8-2x= -16
Move the constant to the right-hand side and change its sign
-2x= -16-8
Calculate the difference
-2x= -24
Divide both sides of the equation by 2
X= 12
Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?
Answers
Answer:
2/9.
Step-by-step explanation:
There are 2 multiples of 4 in the 9 cards, 4 itself and 8.
So the required Probability is 2/9.
Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.
Answers
Answer:
6,174
Step-by-step explanation:
in total we have 20,160 rand.
3/10 of that is = 6048.
6048 rand is euros.
we now have a remaining 14,112 rand.
the rest of the rands is split up into 9:5:2
to find out how much one part equals we add 9, 5 and 2 together.
9 + 5 + 2 = 16.
We then divide the remaining 14,112 rand by 16 to find out one part.
14,112 / 16 = 882.
1 part = 882.
(dollars) 9 parts = 882 x 9 = 7,938 rand
(rupees) 5 parts = 882 x 5 = 4,410 rand
(francs) 2 parts = 882 x 2 = 1,764 rand
to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.
7, 938 - 1,764 = 6,174
Pieter changed 6,174 more rands into dollars than francs.
Hope this helped :)
Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.
Answers
33 + 55 = __ (3+5)
Help me with this
Answers
Answer:
11 I think and hi how are u ::):):):):):):):):):):):):):
find the volume of this figure:
Answers
you select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of
times you will pick a red marble?
8 marble in total and 4 are green, 3 blue, and 1 red hope it help the problem :)
Answers
Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?
Answers
Answer:
$26.32
Step-by-step explanation:
0.94x28 = 26.32
(Meeting character limit)
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
Answers
Answer:
A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft
how to find the circumcenter of a triangle with given vertices
Answers
Answer:
What is the formula of area of Circumcircle?
Image result
We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.
Step-by-step explanation:
what is the probability
Answers
not yellow = 5/6
NEED HELP LIKE, NOW!! 100 POINTS!!!
You can solve any equation in the form a(x + b) = c without writing out both steps of the two-step solution process.
a. Isolate the variable x, so that it has a coefficient of 1.
b. Use your answer to solve 4(x - 7) = 20.
Answers
Answer:
ax+ab-c=0, 12
Step-by-step explanation:
If x=1, then 4(x-7)=20
4x-28=20
add 28 on both sides
48/4=x
x=12
Answer:
this is my answer
Step-by-step explanation:
4(x-7)=20. divide both sides
x-7=5 move the constant to the right
x=5+7. calculate
so the answer is x=12
I hope it helps
IF YOU KNOW IT ANSWER IT!!!! I ONLY HAVE 4 MINUTES
Answers
Answer:
A, the first one.
Step-by-step explanation:
Please rate 5 stars and add thanks. Goodluck on the rest
Therefore, Option A is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
у
6
What is the sequence of transformations that maps A ABC to
A A'B'C'?
B
5
4
3
Select from the drop-down menus to correctly identify each step
A
2
А
1
C
Step 1: Choose...
-6-5-4-3-2-13
1 2 3
4 5 6 7 8
A
Step 2: Choose...
-2
-3
<
-5
8
-6
Answers
The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
The vertices of triangle ABC are given as:
[tex]A = (1,9)[/tex]
[tex]B = (3,12)[/tex]
[tex]C =(4,4)[/tex]
The vertices of triangle A"B"C" are given as:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Start by reflecting the coordinates of triangle ABC across the x-axis.
The rule of this transformation is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' =(1,-9)[/tex]
[tex]B' =(3,-12)[/tex]
[tex]C' =(4,-4)[/tex]
Next, shift triangle A'B'C' 2 units right and 6 units up
The rule of this transformation is:
[tex](x,y) \to (x+2,y+6)[/tex]
So, we have:
[tex]A" = (3,-3)[/tex]
[tex]B" = (5,-6)[/tex]
[tex]C" =(6,2)[/tex]
Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units
Read more about transformation at:
https://brainly.com/question/1448141
HURRY QUICK!!
Evaluate the following expression when x = -4 and y = 4.
Answers
Answer: Should be A
Step-by-step explanation:
Not 100% sure but I'm pretty sure it's A
Answer:
A
Step-by-step explanation:
You need to insert the values into the equations
1) [tex]\frac{x^{6} -x}{4y}[/tex]
[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]
Then open the brackets
[tex]\frac{4096 -(-4)}{16}[/tex]
Open the brackets again not forgetting that 2 - equal a positive
[tex]\frac{4100}{16}[/tex]
Simplify
[tex]\frac{1025}{4}[/tex]
Solve the following compound inequality. Graph the solutions. x <2 and x> -1 Solve the compound inequality. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solutions are enter your response here. (Simplify your answer. Type an inequality or a compound inequality.) B. The solutions are all real numbers. C. There is no solution.
please help :(
Answers
cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta
Answers
Answer:
tan teta =cos teta is the answer
i really need help... factor by the simplest form 46xy^5
Answers
Since 46 can not be factor out, there is only one x which stay there, and is 5 so the two pairs of y will be canceled and one y left.
In a bar graph space between rectangles is always
Answers
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.
How i can answer this question
Answers
Answer:
6x
Step-by-step explanation:
7x-x = x ( 7-1) = 6x
Answer:
6 x
Step-by-step explanation:
Subtract x from 7 x .
How onto add, subtract, multiply, and divide decimals
Answers
Answer:
Hope this helps. x
Please help me with this!!! I will mark brainlist!!!
Answers
Answer: The value of Angle F = 47
Step-by-step explanation:
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answers
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $24. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answers
Answer: the answer is $9,600
Step-by-step explanation:
option A = 40(24) = option B = x (.1) where x is her gross sales
40(24) = x(.1)
40(24)/.1 = x = sales = $9600
Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
a. How much is the down payment
b. What is the total amount of the monthly payments?
c. What is the total cost of the plan?
d. What is the finance charge?
Answers
Down Payment=15% of $1455
a.Down Payment=(15/100)*1444=$218.25
b.Total amount of the monthly payment=$80.78*18=$1454.04
c.Total cost of the plan=$1454.04+$218.25=$1672.29
d.Finance charge=$1672.29-$1455=$217.29
The down payment will be $218.25, the total amount of the monthly payments is $1454.04.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Shania bought a $1,455 drum set on an installment plan.
The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each
Down Payment = (15/100)x1444
= $218.25
The total amount of the monthly payment = $80.78x18
= $1454.04
Total cost of the plan = $1454.04 + $218.25
= $1672.29
Finance charge = $1672.29 - $1455
= $217.29
Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Write the inequality represented by the graph below
Answers
Answer:
y≥3x-1
Step-by-step explanation:
i did the thing
and y≥the mx+b
m=slope
b=y intercept
the symbol determines which way the shaded part faces
pls mark brainliest
Answer:
the guy up there is correct
Step-by-step explanation:
i tried the answer and it was correct