Can someone help me out with this?

Can Someone Help Me Out With This?

Answers

Answer 1

Answer:

-7.5x -12.5, x < -17.5x +2.5, x ≥ -1

Step-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

find the surface area of this cylinder??​

Answers

Answer:

4

Step-by-step explanation:

A=ch

then,

2ft×2ft

4ft

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

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

CT means continental tropical. meaning warm land. so the answer is B :) and this should be in the science section not math btw! good luck

Answer:

B is correct_

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

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.

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 value of x.

Answers

Answer:

x=8

Step-by-step explanation:

(3x-8)/1=4x/2. 3x-8=2x, x=8

Can someone please help me with this

Answers

Answer:

Step-by-step explanation:

Answered by Gauthmath

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

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

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]

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 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 209.1

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

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

Multiply reciprocal of (-4/5) and 25/16 and add additive inverse of (-4/5) we get _____________

Answers

The reciprocal of -4/5 is -5/4.

-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.

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.

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.

Learn more about fractions here:

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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

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

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

I NEEEDDDD HELPPPP ASAPPPP ITS URGENTTTT!!!

Answers

Answer:

(x-13)^2+(y+16)^2=12.56

Step-by-step explanation:

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

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

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%

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.

help I cant do this 1-(a-b)²​

Answers

The answer is (1-a+b) x (1+a-b)

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

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

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