What are the values for q that will make the equation true |4q+12|=4

Answers

Answer 1

Hi there! Solving the absolute value equation is like solving a quadratic equation.

[tex] \large{ |x| = a \longrightarrow x = \pm a}[/tex]

[tex] \large{ |x| = \begin{cases} x \: \: \: (x \geqslant 0) \\ - x \: \: \: (x < 0) \end{cases}}[/tex]

From the absolute equation:

[tex] \large{ |4q + 12| = 4}[/tex]

Cancel the absolute symbol and write plus-minus of 4.

[tex] \large{4q + 12 = \pm 4}[/tex]

Solve the equation for q-term.

[tex] \large{4q = \begin{cases} 4 - 12 \\ - 4 - 12 \end{cases}} \\ \large{4q = \begin{cases} - 8 \\ - 16 \end{cases}} \\ \large{q = \begin{cases} - \frac{8}{4} \\ - \frac{16}{4} \end{cases}} \\ \large{q = \begin{cases} - 2 \\ - 4 \end{cases}}[/tex]

Hence, the value of q are -2,-4

Answer

q = -2,-4


Related Questions

Suppose that the number of minutes that you need to wait for a bus is uniformly distributed on the interval [0, 15]. If you take the bus seven times, what is the probability that your longest wait is less than 12 minutes

Answers

Answer:

0.2097 = 20.97% probability that your longest wait is less than 12 minutes

Step-by-step explanation:

To solve this question, we need to understand the uniform and the binomial distribution.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a single bus having a waiting time of less than 12 times:

Uniformly distributed on the interval [0, 15] means that [tex]a = 0, b = 15[/tex]

[tex]P(X < 12) = \frac{12 - 0}{15 - 0} = 0.8[/tex]

What is the probability that your longest wait is less than 12 minutes?

This is the probability that all 7 buses have waiting time less than 12 minutes, which is [tex]P(X = 7)[/tex] when [tex]n = 7[/tex], with [tex]p = 0.8[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{7,7}.(0.8)^{7}.(0.2)^{0} = 0.2097[/tex]

0.2097 = 20.97% probability that your longest wait is less than 12 minutes

How many additional books does Tony get each month?

Answers

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.

What is the result of this calculation?

help really need the answer

Answers

Answer:

2/3 x + 20/21

Step-by-step explanation:

What is the area of this square?
A= 12
B= 48
C= 72
D= 144

No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

Answer: D) 144 square cm

========================================================

Explanation:

A square has all four sides that are the same length. So all four sides are 12 cm

area = side*side = 12*12 = 144 cm^2

Or you could say

area = (side)^2 = (12)^2 = 144 cm^2

Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.

---------

Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.

B

If you do 4x12 you will end up with 48

Please help *THIS IS ON PERSONAL FINANCIAL LITERACY "​

Answers

Answer:

I think the answer is $56,600

Step-by-step explanation:

I'm pretty sure you're just going to add $63,000+$8,400+$2,900+$1,1000. Then when you get a total of $75,400 and then I think you are going to subtract $15,400 from $75,400, you should get $60,000 then subtract $3,400 and you get $56,600.

Cindy runs 13 blocks to the park and 13 blocks back home every day. If she does this 4 days, how many blocks will she run?

Answers

Answer:

I believe the answer is 104

Step-by-step explanation:

13+13=26 thats 1 day so 26×4=104

PLEASE ANSWER THIS ASAP IM ALWAYS SO GRATEFULL!!

Answers

Answer:

P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12

Step-by-step explanation:

The Unit Circle

What is the domain of a sine function?

a. positive numbers
b. All real numbers
c. negative numbers
d. positive numbers including zero

Please select the best answer from the choices provided

Answers

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

PLEASE HELP I DONT KNOW

Answers

Answer:

28π is the circumference

Step-by-step explanation:

Pls I need help I’m begging u pls I need help

Answers

Answer:

Step-by-step explanation:

Triangle  area adds up to 180.

65 + 65 + 50 = 180

x=65

A dog is fed 3 1/2 cups of food. A puppy is fed 3/5 of that. How much is the puppy fed?

Answers

Answer:

9 puppies can be fed.

Step-by-step explanation:

Given that:

A dog is fed 312 cups of food. A puppy is fed 35 of that.

To Find:

How much is the puppy fed?

Let us assume:

x puppies can be fed.

Finding the number of puppy:

Puppy : Food = Puppy : Food

⟶ 35 : 1 = 312 : x

⟶ 35/1 = 312/x

Cross multiplication.

⟶ 35x = 312

⟶ x = 312/35

⟶ x = 9 (approx.)

Hence,

9 puppies can be fed.

Name the coeficient in
the expression below.
-10x + 8

Answers

the answer i think is -10

PLEASE HELP!!!!!!!!!!!

Answers

Answer:

I think it's 18

Step-by-step explanation:

because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5

then I divided the 27 by 1.5 to get the area of the small one which was 18.

I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Alok conducted a survey and
found that about 60% of his
classmates have a pet. If
there are 300 students at the
school, how many would he
expect to have a pet?

Answers

180 students have a pet

Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds

Answers

Answer:

B

Step-by-step explanation:

i know this already from another

ANSWER: B
Explanation: The dude above me

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

The lengths on the figure are not drawn accurately.

Answers

9514 1404 393

Answer:

  FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

_____

(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

  GE² = EH² + HG²

  13² = EH² + 5²

  EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

  FE² = EH² +HF²

  20² = 144 + HF²

  400 -144 = HF² = 256

  HF = √256 = 16

The length of side FH is 16 units.

What is the least common multiple of 2, 6, and 12?

Answers

Answer:

The LCM of 2,6,12 2 , 6 , 12 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 .

Step-by-step explanation:

On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?

Answers

Answer:

4 to 1

Step-by-step explanation:

The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.

Write an equation that represents a parallel line to y=1/2x + 4

Answers

Answer:

1/2

Step-by-step explanation:

what is the square route of 6,897?

Answers

Answer: 11 square root 57

Step-by-step explanation:

Answer:

The Square root of 6,897 is 83.04 the alternate form is 11√57

P.S If you feel this answer is satisfactory would you mark it brainiest.

Find the surface area of the rectangular prism. Use your purple formula sheet.

Answers

Answer:

328 square cm

Step-by-step explanation:

Just search up "calculate the area of a rectangular prism"

and use the online calculator.

Note:

Pls brainliest(if possible)

Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im running low on points!! :')

Answers

Answer:

[tex]56.52 {in}^{3} [/tex]

Step-by-step explanation:

Given,

Diameter of the bowl = 6 in

Radius of the bowl = 6 ÷ 2 = 3 in.

Height of the bowl = 2 in.

Therefore,

Volume of the bowl to hold water ,

[tex] = \pi {r}^{2} h[/tex]

[tex] = 3.14 \times 3in \times 3in \times 2in[/tex]

[tex] = 56.52 {in}^{3} (ans)[/tex]

write 20 words with meaning​

Answers

Answer:

20 words with meaning

Step-by-step explanation:

Which is the correct simplification of the inequality below? 2(w + 4) > 3w - 7​

Answers

Answer:

w < 15

Step-by-step explanation:

2(w+4) > 3w - 7

2w + 8 > 3x - 7

3w-2w = w

w - 7 < 8

w < 15

Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.

Answers

Answer:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

[tex]x + 5y = 50[/tex]

Placing in the standard format:

[tex]5y = -x + 50[/tex]

[tex]y = -\frac{x}{5} + 10[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Slope of the perpendicular lines:

[tex]-\frac{m}{5} = -1[/tex]

[tex]m = 5[/tex]

So

[tex]y = 5x + b[/tex]

Attributing two values to b:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Can you help me with Math

Answers

Answer:

42+106=x

148=x

Step-by-step explanation:

answer would be x= 148 i think

Suppose Bank One offers a certificate of deposit that pays $5,000 in four years for exchange for $4,000 today. What interest rate is Bank One offering?"

Answers

Answer:

Bank One is offering a simple interest rate of 6.25% per annum.

Step-by-step explanation:

Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:

(5000 - 4000) / 4 = X

1000/4 = X

250 = X

4000 = 100

250 = X

250 x 100/4000 = X

25000/4000 = X

6.25 = X

Therefore, Bank One is offering a simple interest rate of 6.25% per annum.

A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?

Answers

Answer:

.070

Step-by-step explanation:

Answer:

0.94

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

I WILL GIVE 90 POINTS!!!! PLEASE EEEEXXXXPPPLLLAAAIIIIIIIIIIIIINNNNNNN!!!!!!!!!!!!!!!!!
Moby rolls two dice. what is the probability that the sum of the numbers on the dice will be 8?
A. 1/36
B. 3/36
C. 5/36
D. 8/36

Answers

Answer:

C) 5/36

Step-by-step explanation:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Answer:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Step-by-step explanation:

A different triangle is graphed on the coordinate plane. Two of its vertices are located at (−10,3) and (0,−20) . The third vertex is located at (2,y) , where y is a positive value. The area of the triangle is 158 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, determine the value of y .
PLEASE I NEED HELP I'M NOT REALLY GOOD WITH MATH

Answers

Answer:

Step-by-step explanation:

sorry i tried my best i think its like a 30

Answer: The answer is 30


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