Mathematics Middle School

|1 - 4x| > 7

A. {x|x < -1.5 ∪ x > 1.5}
B. {x|x < -1.5 ∪ x > 2}
C. {x|-1.5 < x < 2}

Answers

Answer 1
[tex]|1-4x| > 7\iff1-4x > 7\ \vee\ 1-4x < -7\ \ \ |-1\\\\-4x > 6\ \vee\ -4x < -8\ \ \ |:(-4)\\\\x < -1.5\ \vee\ x > 2\\\\Answer:\boxed{B.\ \{x:x < -1.5\ \cup\ x > 2\}}[/tex]

Related Questions

how would you solve x^2 -6x +7=0 to complete the square and solve the quadratic equation?

Answers

Final answer:

The solution to the quadratic equation x² - 6x + 7 = 0 is found by modifying the equation to the form (x - h)² = k, adding 9 to each side, and then taking the square root of each side to solve for x, resulting in x = 3 ± √2.

Explanation:

To complete the square and solve the quadratic equation x² - 6x + 7 = 0, we need to perform a few steps.

First, we need to modify the equation to the form (x - h)² = k by manipulating the x² - 6x part of the equation. By taking half of the coefficient of x (which is -6) and squaring it, we will get 9. Adding 9 to both sides of the equation will give us (x - 3)² = 2. Finally, to solve for x, we take the square root of each side, resulting in x - 3 = ±√2. Solving for x, we find that the solutions of the quadratic equation are x = 3 ± √2.

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the stem and leaf plot below shows the number of points scored in each basketball game a team played during a season in how many games were more than 40 points scored?
|Stem | Leaf|
| 6 | 1 6 7|
| 5 |2 2 8|
| 4 |4 5 8 9|
| 3 |0 2 6 6 6|
| 2 | 0 8 |

A. 4
B. 6
C. 7
D. 10

Answers

The correct answer is D) 10.

Counting the number of leaves that have stems of at least 4, there are 10.
Answer is D 10 my good sir

how many times greater is one hour than one minutes

Answers

I believe it is 60 times greater
Sorry If I’m wrong

A container of 8 metal beams weighed one fourth of a ton. If every beam weighed the same amount, how heavy was each?

Answers

The correct answer for this question is 500 pounds

A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?

It is a line connecting a series of points.
It is a line drawn only in the first quadrant.
It is a series of points that cannot be connected by a straight line.
It is a series of points that fall in a straight line but are unconnected.

Answers

The correct answer is the last choice.

When the data is discrete, it is separate. That means that the values are not connected.

And since it is proportional, it is also is a straight line.

Answer:

It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

please help and hurry

it’s not the one i picked

Answers

using the Pythargorean theoem

a^2 + b^2 = c^2

2^2 + 2^2 = c^2

4 + 4 = c^2
8 = c^2
c = sqrt(8)
 the answer would be D

a^2+b^2=c^2
2^2+2^2=c^2
4+4=c^2
8+c^2
put 8 through the square root so the answer would be D

24 3/8 inches

- 12 3/4 inches

= ?

Correct gets brainliest

Answers

24 3/8 inches - 12 3/4 inches equals 11.625 inches or 11 5/8 inches.

Find the unknown. 1,025 = ( × 9) + 17

Answers

[tex]\left(\boxed{|}\ \times\ 9\right)+17=1,025\ \ \ \ |-17\\\\\boxed{|}\ \times\ 9=1,008\ \ \ \ |:9\\\\\boxed{|}=112\\\\Answer:112[/tex]

i needs help ........ .

Answers

first lets add the 2 distances on the map:

3 3/4 + 5 1/4 = 9 inches  ( 3/4 + 1/4 = 1, 3+5 = 8, 8+1 = 9 )

1/2 inch on the map = 4 miles
 
there are 2  1/2 inches to 1 inch so 4 miles x 2 = 8 miles to 1 inch

so now multiply 9 inches x 8 miles = 72 total miles

Which word best describes 8(2x +4)

Answers

Final answer:

The word that best describes 8(2x + 4) is multiplication. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Simplifying further, 8(2x + 4) becomes 16x + 32.

Explanation:

The word that best describes 8(2x + 4) is multiplication. In this expression, the number 8 is being multiplied by the expression 2x + 4. When we multiply a number by an expression, we distribute the multiplication to each term in the expression. Therefore, the expression becomes 8 * 2x + 8 * 4.

Simplifying further, we get 16x + 32. So, the word that best describes 8(2x + 4) is multiplication.

An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him

Answers

The artist 56 hours to complete 8 pictures for the art show.

Question: An artist was able to draw one seventh of a picture every hour. If he needed to paint 8 pictures for an art show, how many hours would it take him?
To find out how many hours it would take the artist to paint 8 pictures, we can use the information given.
The artist can draw one seventh of a picture every hour. This means that in one hour, the artist can complete 1/7 of apicture.
To find out how many hours it would take to complete one picture, we can divide 1 by 1/7.
1 ÷ 1/7 = 7/1
So, it would take the artist 7 hours to complete one picture.
Since the artist needs to paint 8 pictures, we can multiply 7 hours by 8.
7 hours × 8 = 56 hours
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You spin the spinner and flip a coin find the probability of the compound event only number 3 and 4

Answers

3. 4/7 because you put favorable over possible favorable meaning what could happen and possible meaning how many things you are testing

4. 5/7 because it says NOT spinning a 5 which is 4 plus flipping tails is 5 and your possible outcome would would be the same as number 3.

Which system of equation can represent the equation?

Answers

Answer:

         log(x+3)
y₁ =  --------------
            log(4)

         log(2 + x)
y₂ = ----------------
             log(2)

Explanation:

1) Here you must use the property named change of base of the logarithm.

That rule is:

[tex]log_{a}b= \frac{log_c{b}}{log_ca} [/tex]

2) Changing to base 10 that is:

[tex]log_{b}a= \frac{loga}{logb} [/tex]

3) Using it with the given equation, you get:

[tex]log_4(x+3)= \frac{log_(x+3)}{log(4)} log_2(2+x)= \frac{log(2+x)}{log(2)}[/tex]

4) Now, to set your system you can make the left side of the equation equal to y₁ and the right side equal to y₂

         log(x+3)
y₁ =  -------------
           log(4)

         log(2 + x)
y₂ = ---------------
            log(2)

And that is your system which is the first choice of the list.

Answer:

A on edge 2021

Step-by-step explanation:

the larger of two numbers is 1 more than 3 times the smaller. the diffrence is between 8 time the smaller and 2 tmies the larger is 10 find the numbers

Answers

Let the two numbers be x and y, with y being larger than x.
Then y=3x+1.
Also, 8x-2y= 10.

The first equation has already been solved for y.  Substitute 3x+1 for y in the second equation:

8x-2(3x+1)=10, or 8x - 6x - 2 = 10,  or  2x  = 12 and x = 6.

If x = 6, then by the first equation y must be 3(6)+1, or 19.

The numbers are 6 and 19.

What is the surface area of this triangular prism rounded to the nearest tenth? A) 63.3 cm2 B) 75.6 cm2 C) 85.7 cm2 D) 97.2 cm2


Answers

The answer is C) 85.7 cm.

Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones can Simon by for his friends?

Answers

20 quarters = $5.00
12 dimes = $1.20
Total Money = $6.20

Simon can by 6 ice cream cones for his friends.
First you should add up the coins. 25x20=$5.00 and 12x10=$1.20 500+120=$6.20. So, simon can buy 6 snow cones

what is the sum of the polynomials
(-x^2+9)+(-3x^2-11x+4).
• -4x^2-2x+4
• -4x^2-11x+13
• 2x^2+20x+4
• 2x^2+11x+5

Answers

The first step for solving this expression is to remove the first set of parenthesis.
-x² + 9 + (-3x² - 11x + 4)
Now,, remember that when there is a "+"sign in front of the parenthesis,, then the parenthesis in the expression remains the same. This means that all you need to do for the second side of the expression is remove the parenthesis.
-x² + 9 + -3x² - 11x + 4
Collect the like terms that have an exponent of two.
-4x² + 9 - 11x + 4
Add the regular numbers together.
-4x² + 13 - 11x
Lastly,, use the commutative property to reorder the terms and get your final answer.
-4x² - 11x + 13
Since we cannot simplify this expression down any further,, our final answer is going to be -4x² - 11x + 13 or option B.
Let me know if you have any further questions.
:)

The sum of the given polynomials is -4x²-11x+13. Therefore, option B is the correct answer.

What is addition of algebraic expression?

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

Given that, (-x²+9)+(-3x²-11x+4).

Here, -x²+9-3x²-11x+4

= (-x²-3x²)-11x+9+4

= -4x²-11x+13

Therefore, option B is the correct answer.

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Write y=(-5/8)x+3 in standard form using integers

Answers

The standard form: Ax + By = C

[tex]\left(-\dfrac{5}{8}\right)x+3=y\ \ \ |-y\\\\-\dfrac{5}{8}x-y+3=0\ \ \ |\cdot(-1)\\\\\dfrac{5}{8}x+y-3=0\ \ \ \ |+3\\\\\dfrac{5}{8}x+y=3\ \ \ \ |\cdot8\\\\5x+8y=24[/tex]

the sum of 2 consecutive even integers is 234, what is the larger integer

Answers

x= smaller integer
x+2= larger integer

Add the integers

x + (x + 2)= 234
2x + 2= 234
subtract 2 from both sides

2x= 232
divide both sides by 2

x= 116 smaller integer

x+2= 118 larger integer


CHECK:
116 + 118= 234
234= 234


ANSWER: The larger consecutive even integer is 118.

Hope this helps! :)
Let one of the numbers be x.
The other number will be x + 2.

Sum of the 2 numbers is 234.
x + x + 2 = 234
2x + 2 = 234
2x + 232
x = 116

One number = 116
Other number = 116 + 2 = 118

Answer: Larger number = 118

LAST QUESTION HELP A GIRL OUT

Answers

Using the given points, you can write the equation as ...
[tex]y=7.5\left(\dfrac{16.875}{7.5}\right)^{\frac{x-1}{3-1}}=7.5\cdot (2.25^{\frac{1}{2}})^{x-1}\\=7.5\cdot 1.5^{x-1}=7.5\cdot 1.5^{-1}\cdot 1.5^{x}\\y=5\times 1.5^{x}[/tex]

Please help. I’ll give brainliest

Answers

the correct answer is 4/15

Answer:

4/15

Step-by-step explanation:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28 (there are 7)

19: There is 1

Total: 7+1=8

8/30=4/15

The following table shows the data collected from four random samples of 50 students from a small middle school regarding their reading preferences

Based on the results in the table, what type of reading is preferred by the majority of students in the samples? (1 point)
A. Novels
B. Short Stories
C. Classics
D. Comic Book

Answers

I am pretty sure it is A. Novels

Answer:

A. Novels Hope this helps!

Step-by-step explanation:

The weather report says there is an 85% chance it will be very hot tomorrow. Should you get ready to use the air conditioner? Explain.

Answers

Yes because the probability rate is high.

Based on the 85% chance of very hot weather, it is reasonable to prepare to use the air conditioner. Weather forecasts with high probabilities can guide us in making practical preparation decisions for comfort and safety.

The weather report indicates there is an 85% chance that it will be very hot tomorrow. Given this high probability, it would be reasonable for you to prepare to use the air conditioner. Decisions based on weather forecasts often involve considering the likelihood of different outcomes and planning accordingly.

Weather is the atmospheric conditions at a particular place over a short period of time, and preparing for it helps us manage daily activities and comfort levels. When the probability of a specific weather event, such as extreme heat, is high, it is generally wise to prepare for that scenario. By planning to use the air conditioner, you can ensure you're able to maintain a comfortable environment during the hot weather.

Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?

Answers

Well, it really depends but it could be 9 rolls of quarters, 5 rolls of quarters and 8 rolls of dimes, 4 rolls of quarters and 10 rolls of dimes, 3 rolls of quarters and 12 rolls of dimes, etc.

Answer:

Justin got 7 rolls of quarters and 4 rolls of dimes.

Step-by-step explanation:

Let the roll of quarters be x

Let the rolls of dimes be y

As total money received is $90, the equation becomes;

[tex]10x+5y=90[/tex]    .....(1)

And he got 11 roll of coins, so equation becomes;

[tex]x+y=11[/tex] or [tex]x=11-y[/tex]    .... (2)

Substituting the value of x from (2) in (1)

[tex]10(11-y)+5y=90[/tex]

[tex]=> 110-10y+5y=90[/tex]

[tex]=> -5y=-110+90[/tex]

[tex]=> -5y=-20[/tex]

So, y = 4

As [tex]x=11-y[/tex]

So, [tex]x=11-4[/tex]

x = 7

Hence, Justin got 7 rolls of quarters and 4 rolls of dimes.

Means-to-MAD question. Pretty easy.

Answers

MAD means "multiply, add, divide" so maybe this helps

Answer:

Multiply ,Add , divide

Step-by-step explanation:

Julie has two formal events to go to--one for her work and one for her partner's work. She has six formal dresses--two blue ones, one black, one red, and two white. Since the same people will not be at the two events she is okay wearing the same dress. She finds the probabilty that she wears a blue and a red dress as p(blue and red) = 2 6 · 1 6 . What do you know about the two events

Answers

The two events are independent.

Since she is not concerned with wearing the same dress more than once, we are essentially selecting the dresses with replacement.  The probability further shows this; there are 2 blue dresses out of 6, and 1 red dress out of 6.  Since we use 2/6(1/6) for the probability, this means the dress was selected with replacement, so they are independent.

Answer:

The two events are independent.

She used the multiplication rule to calculate the probability. Since she is okay wearing the same dress to the two events they are independent.

Step-by-step explanation:

To the nearest tenth, find the approximate distance between points A and C. Graph with coordinates A negative 4, negative 4. B negative 2, 5. C 2, 1. D 2, negative 4.

A. 3.3 units
B. 7.8 units
C. 5.2 units
D. 3.6 units

PLEASE HELP!!!!!

Answers

we have that
A(-4,-4) B(-2,5)  C(2,1)  D(2,-4)

step  1
find the distance AC with the formula 
d=√[(y2-y1)²+(x2-x1)²]------> dAC=√[(1+4)²+(2+4)²]----> dAC=√61 units
dAC=√61-----> dAC=7.8 units

the answer is
the option
B. 7.8 units

Please help me with these. You'll be respected forever. I really need help with these.

a) please write 5.(6) % as a common fraction or a mixed number. The (6) is repeated.

b) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. Which is more expensive and by how much?

c) Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much. How much will Jim pay for 3 lbs of peanuts and 6 lbs of walnuts?

d) Write “four hundred dollars and seventy two cents”... as a fraction (and then reduce).

I will give brainliest if correct. Thanks.

Answers

17/30, The peanuts by a dollar per pound (peanuts cost $3, walnuts cost $2), $21, 40072/100 (and I'm not sure how you would reduce it) Good luck!

Answer:

b) Peanuts, $1 per lb

c) $21

Step-by-step explanation:

b)

Peanuts= 12*2=$24

Walnuts= 6*2=$12

1 lb of peanut= 3 lb

1 lb of walnut= 2 lb

24 is greater than 12

3-2=1

$1 greater per lb

c)

1 lb of peanut= 3 lb

1 lb of walnut= 2 lb

3*3=9

2*6=12

9+12= $21

Sorry I only figured out b and c :(

11499 round to the nearest thousand

Answers

you forgot to put the decimal in there so i could round it 

The answer would be 11000.

Sam intends to roll a six sided cube 100 times. What is the probability model he can use to predict whether or not each roll will give a result that is not a prime number?

Answers

It’s 0.5 probability chance because it is still the same cube being used for the probability of it landing on a prime number

The outcomes of rolling fair six sided die is [tex] \{1,2,3,4,5,6\} [/tex]. The prime numbers in the above outcomes are [tex] \{2,3,5\} [/tex]. The probability of not rolling a prime number is [tex] p=\frac{3}{6}= 0.5 [/tex].

Each trial is independent.

In the given experiment of 100 trials, the binomial probability model can be used to predict the number of occurrence of non-prime numbers (X). The probability mass function is

[tex] P(X=x)=C(100,x)p^x(1-p)^{100-x},x=0,1,2,3,...,100 [/tex]. Since [tex] p=0.5,1-p=0.5 [/tex]

[tex] P(X=x)=C(100,x)0.5^x(0.5)^{100-x},x=0,1,2,3,...,100 \\
P(X=x)=C(100,x)(0.5)^{100},x=0,1,2,3,...,100 [/tex]

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