Answers
Answer:
B. [tex]y= \left \{ {{x^{2}+4,\,x< 2 } \atop {-x+4,\,x \ge 2}} \right.[/tex]
Step-by-step explanation:
The piecewise function consists in two functions:
(i) A vertical parabola directed in the +x direction and centered at [tex]V(x,y) = (0, 4)[/tex] for all [tex]x \in (-\infty, 2)[/tex]. That is:
[tex]y = x^{2}+4[/tex], [tex]x < 2[/tex]
(ii) A line with negative slope for all [tex]x \in [2, +\infty)[/tex].
[tex]y = -x+4[/tex], [tex]x \ge 2[/tex]
The correct answer is B.
Related Questions
The sets of ordered pairs below represent relations.
1. (0,0), (1,1), (2,2), (3,3), (4,4)
2. (1,2), (2,1), (1,3), (0,1), (3,1)
3. (0,2), (1,2), (2,4), (3,4), (3,6)
4. (1,6,), (2,6), (3,6), (4,6), (5,6)
Which of these sets are also functions?
1 only
1 and 4
2 and 3
2,3, and 4
Answers
Answer:
2,3, and 4
because it shows y ≠ x which is not the case for 1
The required sets that also function are 1 and 4. Option B is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
1.
(0,0), (1,1), (2,2), (3,3), (4,4)
Above ordered pairs represent the following function,
f(x) = x
Similarly,
ordered pair given in 2 and 3 would not form the function,
While the ordered pair gave in 4 forms a function of f(x) = 0
Thus, the required sets that is also function are 1 and 4. Option B is correct.
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Is the scale factor k=1.5 an enlargement, a reduction or an isometry?"
A. Enlargement
B. Reduction
C. Isometry
Answers
Answer:
Step-by-step explanation:
Amory ate
1/4
of a box of cereal. Blaine
ate 2/9
of the same box. What fraction of
the box of cereal did they eat together?
Answers
Answer:
they ate 17/36 of the box together
Step-by-step explanation:
plz someone help ASAP! thanks
Answers
Answer:
B
Step-by-step explanation:
Because at least means not less than 50 or equal to 50
Since he wrote 18 pages then you have to add.
what is the volume of the rectangular prism?
Answers
Answer:
3[tex]\frac{3}{4}[/tex] cm³Step-by-step explanation:
Work out
2/5
of 60
Pls work this out. It’s urgent!
Answers
firsty remember OF= MULTIPLY
NOW we can calculate this easily
here the equation is given
2/5×60. u can solve this in given ways below….…..
1……….
u can simply divided 60 by 5. which is equal to 12. and now the equation remain 2×12 . & it's equal to 24. which is our answer.
2……….
u can write 2/5 in decimals by dividing this . so 2/5 is equal to 0.4
and now u r left with 0.4×60
so after multiplying it comes 24.0
and that is equal to 24. (because after decimal zeros has no value)
3……….
and u also can multiply 2 by 60 . it occurs 120 then devide it by 5 . the answer comes 24.
Proving triangle similarity given QR PT and QPR STR prove PQR TSR
Answers
The triangles are right triangles, then we can apply Pytagoras´ theorem.
Solution is:
The triangles are similar
From the attached picture, and from parameterization concepts
RS = μ × RQ 0 < μ < 1
From Δ PRQ sinα = RQ/PR PQ = h₁ ( hypothenuse in Δ PRQ)
From Δ RST sinα = RS/ST ST = h₂ ( hypothenuse in Δ RST)
Then RQ/h₁ = RS/h₂
or RQ × h₂ = RS × h₁ ⇒ h₂ = (RS/RQ) × h₁ ⇒ h₂ = μ × h₁
Then both hypothenuse are proportional, it follows both triangles are similar
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What is the solution to this equation?
Answers
Answer:
x = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4x - 6 = 10x - 3 ( subtract 10x from both sides )
- 6x - 6 = - 3 ( add 6 to both sides )
- 6x = 3 ( divide both sides by - 6 )
x = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex]
Kimberly and Emily went to lunch at
their favorite restaurant. Kimberly has a
$5 off coupon to use for her purchase of
$30. Emily has a 10% off coupon to use
for her purchase of $25. What is the
difference between the total amount
Kimberly and Emily will pay individually?
Answers
Emily will pay $22.50 because 25•.90=22.5
25-22.5=2.5
the difference is $2.50
how to solve a problem like 5x-1-9x=6x-4
Answers
Answer: -10x=-3
Step-by-step explanation:
Answer:
3/10
Step-by-step explanation:
First you have to start by combining like terms. On the left side of the equations we can combine the like terms 5x and -9x to get -4x
Now the equation is -4x-1=6x-4 Now solve for x
Add 4x to both sides -1=10x-4
Add 4 to both sides 3=10x
Divide both sides by 10 x=3/10
HELP I NEED HELP ASAP
Answers
Answer:
Step-by-step explanation:
b
HELP IT NOT FORM IT FOR MY LITTLE SIS IM TO LAZY PLEASE HELP!!!!
1. 1/2 x 2/3
2.1/2 x 2/3 x3/4
3. 1/5 x 1/2 x 7/8
4. 1/8 x 4/7
5. 2/3 x 1/6
6. 2/5 x 1/4
7. 7/54 x 9/49
caculate
1. [tex](2/3)x^{2}[/tex])
2. [tex]1 1/2x^{2}[/tex]
Answers
2. 1/4
3. 7/80
4. 4/15
5. 2/18
6. 2/20
7. 63/2,646
A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
Answers
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
1-yes rhombus
2-no rhombus
3-yes rhombus
Can someone help me with this ???
Answers
Y=-3/1 +2
Y-Intercept at (0,2)
1. The 1st number in an Ordered Pair is called the:
O x-coordinate
O y-coordinate
O origin
Answers
Answer:
x-coordinate my dude. the 2nd one is the y.
Step-by-step explanation:
Please mark brainliest!!!
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answers
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)
2. Which is the correct set up for the quadratic formula to solve the equation below: *
(2 Points)
= 2x2 + 10x + 8
8(x)
O
x =
-10 + 102 -4(2)(8)
2(2)
x =
-10 /10--4(2)(8)
2.
O x=
10 / 102 -4(2)(8)
2(2)
x =
-10 +102 +4(2)(8)
2(2)
Answers
-10 +102 +4(2)(8) vsvshbdnndbsbbhdhhd
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answers
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
HELP I NEED HELP ASAP
Answers
Answer:
A
Step-by-step explanation:
Process of elimination shows that the most reasonable answer is A.
7/2x + 1/2x = 10 + 9/2x
Answers
Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]
Which inequality is true
Pls answer
Answers
Answer:
d
Step-by-step explanation:
A cell phone costs 120 dollars. The price reduced 30% for a sale. How much is the savings
Answers
Answer:
You save 36 dollars.
Step-by-step explanation:
30% of 120 is 36.
You spend $84
Find the x-intercept and y-intercept
from the following linear equation:
- 7x + 4y = 56
x-intercept ([?],[ ])
y-intercept ([?],[ ])
Answers
y= 7/4x + 14
1. Use the points in the diagram to name the figure.
C
D
is is 8 IA
DC
Answers
Answer:
its the last one maybe
DC
please help me i will brainliest i swear
Answers
Answer:
B
Step-by-step explanation:
In 3y+1, the 3 is the coefficient
In the diagram if AE = AB, find the area shaded.
Answers
Answer:
Area shaded = 60 [tex]cm^{2}[/tex].
Step-by-step explanation:
From the given diagram,
Area shaded = Area of the trapezoid EBCD
Given that: AE = [tex]\frac{1}{3}[/tex]AB
= [tex]\frac{1}{3}[/tex] x 12 (∵ AB = CD = 12 cm)
= 4 cm
AE = 4 cm,
Thus,
EB = (12 - 4) cm
= 8 cm
EB = 8 cm
Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD
= [tex]\frac{1}{2}[/tex] (8 + 12) x 6
= (20) x 3
= 60
Area shaded = 60 [tex]cm^{2}[/tex]
Can someone plz help:(
Answers
Answer:
60 degress
Step-by-step explanation:
1. Find out the angel of each side. 360 divded by 6 = 60
2. Get the answer of 60
Select all equations that have graphs with the same y-intercept.
y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
Answers
y=5x-8
y=2x-8
y=1/3x-8
the y intercept is the b in y=mx+b and all of these have -8 as the y int
The equations that have graphs with the same y-intercept are:
y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.
Let's compare the equations and their constant terms:
y = 3x - 8 (Constant term: -8)
y = 3x - 9 (Constant term: -9)
y = 3x + 8 (Constant term: 8)
y = 5x - 8 (Constant term: -8)
y = 2x - 8 (Constant term: -8)
y = (1/3)x - 8 (Constant term: -8)
From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.
Therefore, the equations that have graphs with the same y-intercept are:
y = 3x - 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8
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Find the difference 0.2 - 0.05 =
Answers
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
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