Answers
Answer:
-7.5x -12.5, x < -17.5x +2.5, x ≥ -1Step-by-step explanation:
The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:
|x| = -x . . . for x < 0
|x| = x . . . for x ≥ 0
for (x+1) < 0
y = -7.5(x +1) -5 = -7.5x -12.5
for (x+1) ≥ 0
y = 7.5(x +1) -5 = 7.5x +2.5
This means we can write the piecewise function as ...
[tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]
Related Questions
Multiply reciprocal of (-4/5) and 25/16 and add additive inverse of (-4/5) we get _____________
Answers
-5/4 x 25/16 = -125/64
The additive inverse of -4/5 is 4/5.
So -125/64 + 4/5 = -369/320
I hope this was right.
Which shapes have the greatest area?
(Select all that apply.)
Answers
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.
A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24
Answers
Answer:
B
Step-by-step explanation:
1+2+3+4+6+8+12+24=60
60/24=5/2
so,B is the answer
The sum of all the reciprocals of the factors of 24 is 5/2.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.
The reciprocals of all the factors of 24 are;
1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24
The sum of all the factors of 24:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
Take LCM of the fractions:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 60 / 24
Hence, the fraction:
1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24
= 5/2
Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.
To learn more about the fractions;
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Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answers
Answer: 109m^2
Step-by-step explanation:
(5)(8.4)/2 = 21 m^2
(4 ) (21) = 84 m^2
Base = 5^2 = 25 m^2
84 + 25 = 109 m^2
Help me
Pls its due soon and i have no clue how to do this
Answers
Question 10
Draw a 30-60-90 triangle template. Refer to the diagram below.
We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.
Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.
That allows tan(theta) = sqrt(3)/1 = opposite/adjacent
In other words, tan(60) = sqrt(3)/1
So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240
So tan(60) = tan(240) = sqrt(3)
Answers: 60 and 240======================================================
Question 11a
sin(theta) = -0.8
theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)
theta = -53.1301 or theta = 180 - (-53.1301)
theta = -53.1301 or theta = 233.1301
Add 360 to the first angle to find a coterminal angle counterpart.
-53.1301 + 360 = 306.8699
So the two approximate solutions are
theta = 306.8699 or theta = 233.1301
and those round to 306.9 and 233.1 respectively.
Answers: 233.1 and 306.9======================================================
Question 11b
cot(theta) = 1.8
tan(theta) = 1/(1.8)
theta = arctan( 1/(1.8) ) or theta = 180+arctan( 1/(1.8) )
theta = 29.0546 or theta = 180+29.0546
theta = 29.0546 or theta = 209.0546
theta = 29.1 or theta = 209.1
Answers: 29.1 and 209.1find the surface area of this cylinder??
Answers
Answer:
4
Step-by-step explanation:
A=ch
then,
2ft×2ft
4ft
Trousers are sold at $40. During a clearance sale, the trousers are sold for $30. What is the markdown rate?
A.20%
B.25%
C.30%
D.33%
Answers
Answer:
25%
Step-by-step explanation:
40-30=10
10/40*100
25%
Can someone please help me with this
Answers
Answer:
Step-by-step explanation:
Answered by Gauthmath
help I cant do this 1-(a-b)²
Answers
How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Answers
Answer:
0.62kg
Step-by-step explanation:
Let
x = 40/kg coffee
y = 11/kg coffee
two equations can be derived from the question
x + y = 12 equation 1
40x + 11y = 114 (9.5 x 12) equation 2
multiply equation 1 by 11
11x + 11y = 132 equation 3
subtract eqn 3 from eqn 2
29x = 18
divide both sides of the equation by 29
x = 0.62kg
Please help !!!!!!!!!!!
Answers
Answer:
98°+62°+6x = 180
160+6x = 180
6x = 180 - 160
6x = 20
x= 20/6
x= 3.33
therefor your answer is 3.33
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answers
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
Which of the following describes an air mass with the symbol CT? a. it is a cold air mass over an ocean c. it is a warm air mass over an ocean b. it is a warm air mass over a continent d. it is a cold air mass over a continent Please select the best answer from the choices provided
Answers
Answer:
B is correct_
9. Find the remainder when the polynomial: p(x) = x⁴ + 2x³- 3x² + x - 1 is divided by (x - 2)
pls it's urgent
Answers
Answer:
answer is 21..............
Explanation:
p(x) = x⁴ + 2x³- 3x² + x - 1
Factor of p(x)
x-2=0
x=2
Then by using synthetic division
CAN SOMEBODY PLEASE HELP ME
Answers
Answer: AS = 46
Step-by-step explanation:
Since we know that a circumcenter is equidistant from all three vertices, we know that segment BS is congruent to segment CS which is congruent to segment AS. By the definition of congruent segments, BS = AS. Since BS is 46, we know that AS will also be 46.
I NEEEDDDD HELPPPP ASAPPPP ITS URGENTTTT!!!
Answers
Answer:
(x-13)^2+(y+16)^2=12.56
Step-by-step explanation:
There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get
Answers
Answer:
94 marbles
Step-by-step explanation:
4512/48 = 94
Find the missing length of the following with midsegment drawn
Answers
Answer:
18
Step-by-step explanation:
RQ = (22+14)/2 = 36/2 = 18
Answer:
QR = 18
Step-by-step explanation:
The midsegment QR is half the sum of the parallel bases, that is
QR = [tex]\frac{JM+KL}{2}[/tex] = [tex]\frac{22+14}{2}[/tex] = [tex]\frac{36}{2}[/tex] = 18
Please solve fast. It's really easy!
Answers
Answer:
j = 10.1
Step-by-step explanation:
The difference between 9.5 and 11.3 is
11.3 - 9.5 = 1.8
This is split into 3 divisions, that is
1.8 ÷ 3 = 0.6
Then
j = 9.5 + 0.6 = 10.1
tìm nghiệm của đa thức 2x² + 5x
Answers
Answer:
this is this because of PTI
Step-by-step explanation:
pto explain it to me on Monday and Friday Saturday morning
Answer:
[tex]2x^2+5x[/tex]
[tex]=2xx+5x[/tex]
[tex]=x\left(2x+5\right)[/tex]
Hope it helps u
Also called regrouping this is when adding numbers results in more than two digits and one digit is placed in the colum to the left
Answers
Answer:
Carrying forward.
Step-by-step explanation:
When regrouping is done to add the numbers where results in a more than 2 digit and one digit is placed to left Colum is called as carrying forward. As regrouping refers to carrying the place values in order to perform operations like addition or subtraction.I don’t understand how to solve this
Answers
Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
An equation parallel to y = – 3x + 2 through (2,3)
Answers
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?
Answers
Answer:
-1/ 4
Step-by-step explanation:
y = 4x-3 has a slope of 4 because the equation is in slope intercept form
y = mx+b where the slope is m
Perpendicular lines have slopes that are negative reciprocals
-1/ 4 is the slope of a line that is perpendicular to y = 4x-3
Find the value of x.
Answers
Answer:
x=8
Step-by-step explanation:
(3x-8)/1=4x/2. 3x-8=2x, x=8
What is the approximate radius of a sphere with a volume of 34 cm3?
A. 6 cm
O O
B. 2 cm
C. 8 cm
D. 4 cm
SUBMIT
Answers
Answer:
the answer is B.
Step-by-step explanation:
it is not A is because if the radius is 6 then the volume will be 904.32
the answer is B.
because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B
after how many years will Rs 21000 give Rs 5040 as interest at 6% pa simple interest
Answers
Answer:
within 4 years it will give the required interest
Please hurry I will mark you brainliest
Answers
Answer:
the answer is 120
Step-by-step explanation:
a trapezoid should measure 360 when all sides are added together
180-125=55
65+55=120
360-120=240
240÷2=120
3. Arcadia, decides to offer two different options for payment.
Option 1
No admission fee
$15 admission fee
and
Option 2
$5 / game
$6/game
a. Write an equation to represent the total cost of a day spent gaming at Arcadia for Option 2.
the total cost of the day would be
Answers
Answer:
[tex]Total = 15 + 6 x[/tex]
Step-by-step explanation:
Given
Option 1
[tex]Admission = 0[/tex]
[tex]Rate = \$5/game[/tex]
Option 2
[tex]Admission = 15[/tex]
[tex]Rate = \$6/game[/tex]
Required
The total cost for option 2
This is calculated as:
[tex]Total = Admission + Rate * x[/tex]
Where:
[tex]x \to[/tex] games
So, we have:
[tex]Total = 15 + 6 * x[/tex]
[tex]Total = 15 + 6 x[/tex]
1/4 Luke's marbles are white,
3/8 are blue,
and the rest are 30 yellow marbles.
How many of the marbles are white?
Answers
Answer:
i dont know the total sum of marbles
Step-by-step explanation:
A fraction is written in the form of a numerator and a denominator
where the denominator is greater than the numerator.
1/4 of 80 is 20.
The number of white marbles is 20.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Total marbles = x
The number of white marbles = 1/4x
The number of blue marbles = 3/8x
The number of yellow marbles = 30
Total marbles.
x = (1/4)x + (3/8)x + 30
x - (1/4)x - (3/8)x = 30
(8x - 2x - 3x) / 8 = 30
3x/8 = 30
3x = 30 x 8
3x = 240
x = 80
The number of white marbles.
= (1/4)x
= (1/4) x 80
= 20 marbles.
Thus,
The number of white marbles is 20.
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