Solve each equation.

1) | 2x - 4 | = 10

2) -5 | -4x + 4 | - 7 = -67

Show all work please :D

Answers

Answer 1

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]


Related Questions

Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33

Answers

Step-by-step explanation:

The first inequality has solution

 4p > -8 . . . . . . subtract 1

 p > -2 . . . . . . . divide by 4

This is graphed as an open dot at -2, with shading to the right.

Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:

 a number line with open circles at negative 2 and 5 with shading in between

hope that help mark me brinilylist

please help me!

ty :D

Answers

Answer:

x =  3,0 y = 0, -4

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, 12x - 9y = 36or, 12(0) - 9y = 36or, -9y = 36or, y = 36 ÷ -9 = -4(x, y) = (0, -4)Now, let y be 0.Then, 12x - 9y = 36or, 12x - 9(0) = 36or, 12x = 36or, x = 3(x, y) = (3, 0)So, x-intercepts are 0 and 3 and y-intercepts are -4 and 0.

Answer:

x - intercept (0, 3)

y - intercept (-4, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0

Answers

Answer:

real and equal roots

Step-by-step explanation:

because at end of calculation,0=0

The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.

Answers

The name which is given to the setting in the option profile which  automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:

Vulnerability Detection

Based on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.

As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.

Therefore, the correct answer is Vulnerability Detection

Read more about vulnerabilities here:

https://brainly.com/question/18088367

Could somebody please help with this math?

Answers

Answer:

87

Step-by-step explanation:

the slope is very easy you can solve it in easy way all you have to do is give me your phone

2x/5=9/15 what does x equal

Answers

Answer:

2x/5=9/15

2x=9/3

x=1.5

2,38 x 5,6 + 9,52 hljkjkk

Answers

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

i need help please!!!!

Answers

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

PLEASE HELP ASAP WITH#4

Answers

Answer:
B.

Explanation:

Can somebody please help me

Answers

Answer:

b is 62 a is 118 c is 59 I have to get 20 characters

WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4

Answers

Answer:

a = 6

b = 3/4

Step-by-step explanation:

They both need to have the same slope.

The slope in the first equation is 6

That means that the second equation must have a = 6

They both need to have the same y intercept

The second equation has a y intercept of 3/4

Therefore b in the first equation, must be 3/4

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?​

Answers

Answer: only has one solution

Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

what is the tangent ratio of angle x°​

Answers

Answer:

tan x = 3/4

Step-by-step explanation:

The hypotenuse of the triangle is 10 ft.

For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.

tan A = opp/adj

tan x = 6 ft / 8 ft

tan x = 3/4

Tan=opposite/adjacent. Opposite=6, adjacent=8. Tan=6/8. We can divide both terms by 2 to simplify to tan=3/4

What did the wall say to the bookcase 4. 2 puzzle time answers.

Answers

Answer:

meet you at the corner

Step-by-step explanation:

Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?

Answers

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

7 rides is the answer.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.

May I please receive help?

Answers

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

Definition:

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

Solution

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.

Answers

What is the question I can’t answer if there is no question?

How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process

Answers

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

10x1+2x60/10

Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?

Answers

Answer:

2

Step-by-step explanation:

Divide 120ml into the ratio 3:7

Answers

Answer:

Step-by-step explanation:

sum of ratio=3+7=10

total=120 ml

first part=3/10×120=36 ml

second part=7/10×120=84 ml

identify the coefficient in the term 7x^2y^3

Answers

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

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(WILL GIVE BRAINLIEST)


The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y

Answers

Answer:

y=3/4x-5.5 this should be your answer

Step-by-step explanation:

sorry of im wrong

have a wonderfull day!

ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Answers

Answer:

20.

Step-by-step explanation:

We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:

4/10=x/50.

Cross-multiplying, we have 200 = 10x, and x = 20.

20
100/40=40%
100/50=2
40/2=20

Which pairs of angles are alternate interior angles? Select all that apply.

A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8

PLEASE HURRY!!

Answers

B ??? i’m not sure bout this

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

HELP PLEASE!!!!!!!!!

Answers

Answer:

-1/4

Step-by-step explanation:

please mark brainliest

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.

Answers

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648

(-4+2)•(-5+3)/-3 please help

Answers

Answer:

-4/3

Step-by-step explanation:

(-4 + 2) • (-5 + 3)/-3

=> -2 • (-2)/-3

=> -2 • 2/3

=> -4/3

Therefore, -4/3 is your answer.

Hoped this helped.

Answer:

The answer is -4/3.

Step-by-step explanation:

(-4+2) = -2

x (-5+3) = -2

-2 x -2 = 4.

=-4/3

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