How do I do this? It's a modulus question.

How Do I Do This? It's A Modulus Question.

Answers

Answer 1
1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2

2)

Do the same
X= -5/2
X= 7/2




Related Questions

Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5

Answers

Answer:

-35

Step-by-step explanation:

5(4)(-5) + -2(4)(-5) + (-5)²

= -100 + 40 + 25

= -35

Answer: -35

Step-by-step explanation:

5(4)(-5)+(-2)(4)(-5)+(-5)^2

-100+40+25

-35

The height of a door is 1.8 feet longer than it's with its front area is 1496.9 ft.² find the width and height of the door

Answers

The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]

Let

[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]

From the question

[tex]A=w\times h=1496.9\\h=w+1.8[/tex]

We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.

Eliminate the height;

[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]

substitute the value of the front area into the equation and solve for the width

[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]

the width can only take positive value. Now, to get the height

[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]

the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.

Another example can be found in the link: https://brainly.com/question/18625465

Lim ( 3x + 4tan2x)/x
X--》0

Answers

Answer:

where are you from me

Step-by-step explanation:

:philipines

btw ty sayo

Slove the followings.


1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?​

Answers

2. The number of adults who live in the house is 3 (1,200/400).

3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: https://brainly.com/question/14954924

The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing angle measure?

Answers

Answer:

32

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

PLZ HELP MATH QUESTION! LOOK AT THE PICTURE BELOW!I I WILL GIVE BRAINILEST TO CORRECT FAST ANSWER!

Answers

Answer:

x<2

Step-by-step explanation:

You're answer is wrong because the circle on the number line is not closed. If it was closed, it would be x ≤ 2 , but because it is open, it would be just be x<2

please help, theres a picture

Answers

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

The line is on -3 and -1 so I think the answer is -1/3 .

Help me out Ik you love Algebra as much as I do

Answers

Answer:

                                 pop

                                             yes                   no             total

country            yes                  11                      38              49

                        no                       43                     8                51

                         total                54                     46               100

Hope you understand this haha

The answer is in the file. Hope it helps.

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?

Answers

Answer:

6

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

An office administrator earns $16 an hour, and she works 48 hours a week.
What is her weekly wage?

Answers

Answer:

768

Step-by-step explanation:

16x48= 768

Answer:

768

Step-by-step explanation:

you multiply 16 times 48 to find the weekly wage

can someone help me with this i’ll give you 25 points

Answers

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

what is 5y² if y= -1​

Answers

Answer:

5

Step-by-step explanation:

Input all of the numbers and solve:

5×-1×-1

Start by solving -1*-1=1

5*1=5

Answer:

the answer for this question is 5

Solve the equation
37.86+x=53.15

A. 15.29
B. 16.39
C. 90.91
D. 90.01

Answers

Answer:

X = 53.15-37.86

X = 15.29

option A

40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students were surveyed ?

Answers

Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:

375 x 2 = 750

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (5, 4) and (-7,-8).

Answers

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope of line segment

[tex] = \frac{4 - ( - 8)}{5 - ( - 7)} [/tex]

[tex] = \frac{4 + 8}{5 + 7} [/tex]

[tex] = \frac{12}{12} [/tex]

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

[tex]\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}[/tex]

Midpoint of line segment

[tex] = ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )[/tex]

[tex] = ( \frac{ - 2}{2} , \frac{ - 4}{2} )[/tex]

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

what is the value of x in x(a+b)=b(c-x)​

Answers

Answer:

x = [tex]\frac{bc}{a+2b}[/tex]

Step-by-step explanation:

x(a + b) = b(c - x) ← distribute parenthesis on both sides

ax + bx = bc - bx ( add bx to both sides )

ax + 2bx = bc ← factor out x from each term on the left side

x(a + 2b) = bc ← divide both sides by (a + 2b)

x = [tex]\frac{bc}{a+2b}[/tex]

Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2

Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5

Answers

Answer:

DB

Step-by-step explanation:

You may find this easier if you distribute the minus sign first.

1)

2a^2 -3ab +5b^2 -a^2 +2ab -3b^2

  = (2 -1)a^2 +(-3+2)ab +(5 -3)b^2

  = a^2 -ab +2b^2 . . . . . matches choice D

__

2)

6x -3 -2x +2

  = (6 -2)x +(-3 +2)

  = 4x -1 . . . . . matches choice B

3. Write an equation in slope-intercept form for the line with a slope of 5/4 and a
y-intercept of 2.

Answers

Answer:

y = [tex]\frac{5}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{4}[/tex] and c = 2 , then

y = [tex]\frac{5}{4}[/tex] x + 2 ← equation of line

solve the system using substitution 4x+3y=23 x-5=0

Answers

Answer:

y=1, x=5

Step-by-step explanation:

Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5

Now we have a value for x, so plug x into the original equation,

4(5)+3y=23,

20+3y=23

Subtract both sides by 20

20-20+3y=23-20

3y=3

dvide both sides by 3

y=1

use the value for x we got earlier

y=1, x=5

Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she
receives an hourly rate of 14 times her regular hourly rate. If she regularly works 40 hours per week with no
overtime, what is her regular weekly pay?

$882

$2.94

$588

$294

Answers

Answer:

I’m pretty sure it’s 588

Step-by-step explanation:

14.70 * 40 = 588

−4 1/2÷(−2 2/3) i need help

Answers

Answer:

[tex]1\frac{11}{16}[/tex]

Step-by-step explanation:

Convert mixed numbers into improper fractions.

= [tex]\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}[/tex]

= [tex]\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}[/tex]

= [tex]\frac{\frac{9}{2}}{\frac{8}{3}}[/tex]

= [tex]\frac{9\cdot \:3}{2\cdot \:8}[/tex]

= [tex]\frac{27}{2\cdot \:8}[/tex]

= [tex]\frac{27}{16}[/tex]

Convert improper fraction into mixed number.

= [tex]1\frac{11}{16}[/tex]

the answer would be 1 11
-
16

HELP PLEASE I REALLY NEED IT

Answers

Answer:

18

Step-by-step explanation:

1/2 bh

1/2 (6)(6) multiply

1/2 (36) divide

18

Which of the following satisfy x ≥ 4.1? Select all that apply.
x = 4
x = 3.5
x = 4.5
x = 4.1​

Answers

Answer:

x = 4.5

x = 4.1

Step-by-step explanation:

State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  f) Not possible

Step-by-step explanation:

The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.

9⁴ means _________ is multiplied by itself four times (30 points)​

Answers

Answer:

9

Step-by-step explanation:

This is an example of an exponent. 9^4 means 9 is raised to itself 4 times.

If we break it down, it will look like: 9x9x9x9, which is 6561.

9⁴ =》9 multiplied by itself four times.

9⁴ = 9 × 9 × 9 × 9

9⁴ = 6561

_____

Hope it helps ⚜

MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.

b. How much cleaner is in the tank when the cleaning begins?

C. After how many minutes is the tank empty?

Answers

Answer:

a. Write an equation that represents the amount of cleaner in the tank after x minutes

y= -4x + 128

b. How much cleaner is in the tank when the cleaning begins?

128

c. After how many minutes is the tank empty?

The tank is empty in 32 minutes

Evaluate: 3cos 80° cosec 10° + 2 sin 59° sec 31°
correct answer will be marked as Brainliest.​

Answers

Given that

3 cos 80° cosec 10° + 2 sin 59° sec 31°

⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°

We know that

sin (90° - A) = cos A

cos (90°-A) = sin A

⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°

⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)

⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)

⇛3 (1) + 2(1)

⇛3+2

⇛5

Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.

also read similar questions: (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^

https://brainly.com/question/87846?referrer

Answer:

5

Step-by-step explanation:

you can rewrite this as

3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)

=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)

reduce with sin(10*) to get

3+2cos(31*) x 1/cos(31*)

cross out the cos 31* on both sides to leave you with

3+2

5

A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?

Answers

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?

Answers

Answer:

85%

Step-by-step explanation:

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%

Given: (DE) is a midsegment of ∆ABC. Show all work.
Find the value of x and y.
What is the length of (AC)?

Answers

Answer:

Step-by-step explanation:

As they are similar triangles

24/AB = 24/2AD = 12/AD = (x + 2)/AD

12 = x + 2

x = 10

(y + 6) + (x - 3) / 24 = (y + 6)/(x + 2)

(y + 6) + (10 - 3) / 24 = (y + 6)/(10 + 2)

             (y + 13) / 24 = (y + 6)/12

                 12(y + 13) = 24(y + 6)

                12y + 156 = 24y + 144

                          12y = 12

                             y = 1

AC = (y + 6) + (x - 3)

AC = (1 + 6) + (10 - 3)

AC = 14

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