The value of p for the for given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.
What is absolute value inequality?An absolute value inequality is an expression with absolute functions as well as inequality signs.
According to the given question.
We have an absolute value inequality |6p + 3| > 15
The above inequality can be written as
[tex]-15 < 6p+3 < 15[/tex]
⇒ [tex]-15-3 < 6p < 15-3[/tex]
⇒[tex]-18 < 6p < 12[/tex]
⇒[tex]\frac{-18}{6} < p < \frac{12}{6}[/tex]
⇒[tex]-3 < p < 2[/tex]
⇒ p ∈ (-3, 2)
Hence, the value of p for the given absolute value inequality |6p + 3|>15 lies in between - 3 and 2.
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Classify -2x4 - x3 + 8x2= 12 by degree.
Question 12 options:
cubic
quadratic
quartic
quintic
The solution is Option C.
The equation A = -2x⁴ - x³ + 8x² = 12 is a quartic equation as the degree of the equation is 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
-2x⁴ - x³ + 8x² = 12 be equation (1)
On simplifying the equation , we get
Adding 2x⁴ + x³ on both sides of the equation , we get
2x⁴ + x³ + 12 = 8x²
Subtracting 8x² on both sides of the equation , we get
2x⁴ + x³ - 8x² + 12 = 0 be equation (2)
Now , the highest degree of the variable x in the equation is x⁴ which is 4
Therefore , the equation is quartic
Hence , the equation is 2x⁴ + x³ - 8x² + 12 = 0
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65 in. =__ft.
A. 6 5/12 ft.
B. 12 ft.
C. 5 5/12 ft.
D. 780 ft
The coordinates of the vertices of ΔXYZ are (4, –1), (2, –4),
and (7, –4).
The coordinates of image ΔXʹYʹZʹ are (−4, −1), (−2, −4), and (−7, −4).
This transformation can be expressed as (x, y) ⟶ (−x, y).
Is the orientation of ΔXYZ the same as the orientation of ΔXʹYʹZʹ?
Why or why not?
Jeff left 13% tip at a restaurant where the bill was $29.62. How much did Jeff leave as a tip?
Final answer:
To calculate Jeff's tip, multiply 13% as a decimal (0.13) by the bill amount of $29.62, which equals a tip of $3.85.
Explanation:
To calculate how much Jeff left as a tip at the restaurant, we need to find 13% of his bill total, which was $29.62. To do this, convert the percentage to a decimal by dividing by 100 (which makes 13% become 0.13) and multiply that by the bill amount.
So, the calculation will be:
0.13 * $29.62
When you perform this calculation:
$3.85 (rounded to the nearest cent)
Jeff left a $3.85 tip at the restaurant.
At a car repair shop, the cost of repair depends on the time the mechanic works. Which of the following shows this idea in function notation?
Pleas show all work.
A. number of cars (time)
B. time(cost)
C. time(number of cars)
D. cost(time)
Jason works at least 5 hours but not more than 10. He earns $15.30 per hour. The function f (t) = 15.3t represents the money he earns for working t hours. What is the practical range? Show all your work.
1. Correctly determine the minimum and maximum money earned.
2. Correctly identify the practical range as inclusive or exclusive.
3. Correctly state the practical range.
1. The minimum number of hours is 5 hours, so the minimum money earned is:
minimum money = 15.30 * 5 = $76.50
The maximum number of hours is 10 hours, so the maximum money earned is:
maximum money = 15.30 * 10 = $153
2. Since the words “at least” and “not more than” are used, hence this is inclusive.
3. The practical range is:
$76.50 ≤ f(t) ≤ $153
Answer:
$76.50 ≤ f(t) ≤ $153
Step-by-step explanation:
Ivan has a piece of lumber 104 inches long. He is sawing it into 12-inch lengths to make fence posts. He says he can get about 9 fence posts out of the board.
what is the range of 34, 56, 13, 98, 75
Answer:
Range = 85
Step-by-step explanation:
The formula for range of a data set is
Range = Maximum value - Minimum value
The given data set is
34, 56, 13, 98, 75
In this data set we have,
Maximum value = 98
Minimum value = 13
The range of given data set is
Range = 98 - 13
Range = 85
Therefore, the range of the data is 85.
Please help I dont know what to do!!!
#1 x÷4=3.5÷28
#2 3/5 + 4/5x +7/10x + 1 1/2 = 5 3/5
Thank you so much guys!!!!!!!!
Which of the following is an equivalent statement?
CD overbar is similar to XY overbar
CD overbar is congruent to XY overbar
CD overbar equals XY overbar
CD overbar is an element of XY overbar
Answer:
3
Step-by-step explanation:
whats 603X4 estimate go math
the temperature on monday was -1.5°C. The temperature on Tuesday was 2.6°C less than the temperature on Monday.what was the temperature on Tuesday?
Alicia and Elena each earned $135 doing telephone surveys. Alicia did her surveys in 12 hours. It took Elena 75% as long to do her surveys. How much money did Elena earn per hour? A. $7 B. $11 C. $12 D. $15
Answer:
d 15
Easy. As that
Which point represents the fraction 3/6???
A
B
C
or
D
????
PLEASE HELP
The point that represents the fraction 3/6 is point B.
Explanation:The point that represents the fraction 3/6 is point B.
When we simplify the fraction 3/6, we obtain 1/2.
To represent a fraction on a number line, we divide the line segment between 0 and 1 into equal parts. Since the denominator is 2, we divide the segment into 2 equal parts. The numerator, 1, represents the number of parts we need to take from the line (starting from 0) to reach the fraction. Thus, we locate point B on the number line to represent the fraction 3/6.
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Shawn has been hired as a sales associate Horizon Mobile Phone Company. He has two salary options. He can either receive a fixed salary of $750.00 per week or a salary of $400.00 per week plus an 8% commission of his weekly sales. Which solution set among the options below represents the dollar amount of sales that he must generate each week in order for the option with commission to be the better choice?
Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get
x/3 >-1 graph and check solutions
[tex]\dfrac{x}{3} > -1\ \ \ \ |\cdot3\\\\x > -3\to x\in(-3;\ \infty)[/tex]
What is −412√+75√ in simplest radical form?
Step-by-step explanation: Given radical expression 4√12 + √75.
Let us simplify each of the radical separately first.
√12 = √(2×2×3) = 2√3
Therefore, 4√12 = 4 × 2√3 = 8√3.
√75 = √(3×5×5) = 5√3
Therefore 4√12 + √75 => 8√3 + 5√3.
Adding like radicals, we get
8√3 + 5√3 = 13√3.
Therefore, 4√12 + √75 = 13√3.A used electronics store pays $30 for each cell phone, spends $20 refurbishing the phone, and sells the refurbished phone to a customer for $115.
a. Write an expression in simplest form that represents the company's earnings (in dollars) from buying, processing, and selling cell phones. Use x to represent the number of cell phones they sell.
An expression is ([answer]) dollars.
in triangle abc,angle a=3x+1,angle b=4x-17,and angle c=5x-20.what type of triangle is angle abc
The sum of the three internal angles in a triangle is equal to 180 degrees.
a = 55°
b = 55°
c = 70°
The triangle abc is an acute isosceles triangle.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three internal angles is equal to 180 degrees.
We have,
Three angles of the triangle:
a = 3x + 1
b = 4x - 17
c = 5x - 20
The sum of the three angles of a triangle is 180 degrees.
a + b + c = 180
3x + 1 + 4x - 17 + 5x - 20 = 180
12x - -36 = 180
12x = 180 + 36
12x = 216
x = 216/12
x = 18
Now,
The angles are :
a = 3 x 18 + 1 = 54 + 1 = 55
b = 4 x 18 - 17 = 72 - 17 = 55
c = 5 x 18 - 20 = 90 - 20 = 70
We see that all their internal angles are acute angles.
This is an acute isosceles triangle.
Thus,
The triangle abc is an acute isosceles triangle.
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10 ways to divide 96 into equal groups
These are the ten ways to divide 96 into equal groups:
96 divided by 2 = 2 groups of 48
96 divided by 48 = 48 groups of 2
96 divided by 12 = 12 groups of 8
96 divided by 8 = 8 groups of 12
96 divided by 32 = 32 groups of 3
96 divided by 3 = 3 groups of 32
96 divided by 24 = 24 groups of 4
96 divided by 4 = 4 groups of 24
96 divided by 6 = 6 groups of 16
96 divided by 16 = 16 groups of 6
Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the first day and 5 1/2 miles on the second day. His parents donated $175. How much money did his parents pay for each mile
A cube has a volume of 216 cubic centimeters. What can be concluded about this cube?
volume = 216
side = cubic root(216)
the length of a side = 6 centimeters
A motorcross rider is in the air for 2.5 seconds. Your camera can take a picture very 0.125 second. Your friend's camera can take a picture every 0.15 second.
a. How many times faster is your camera than your friend's camera?
b. How many more pictures cna you take while the rider is in air?
PLZ HELP! IN DESPERATE NEED OF HELP! Thx! Remeber to SHOW ALL OF YOUR WORK! Thx so much! :)
the local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups this morning. How many batches of cookies did the barkey make?
divide total by amount needed for each batch
5.25 / 1.75 = 3
they made 3 batches of cookies
A water desalination plant can produce 2*10^6 gallons of water in one day. How many gallons can it produce in 79 days?
Write your answer in scientific notation.
The water desalination plant can produce 1.58 x 10^8 gallons of water in 79 days, expressed in scientific notation.
To calculate how many gallons of water a desalination plant can produce in 79 days, we will multiply the daily production capacity by the number of days. The plant's daily production capacity is given as 2 x 106 gallons. So, for 79 days, the calculation would be:
(2 x 106 gallons/day) x 79 days = 1.58 x 108 gallons
Expressed in scientific notation, the plant can produce 1.58 x 108 gallons of water in 79 days.
Write an expression that shows how to multiply 7 x 256 using the expanded form and the Distributive Property.
Which is bigger? 0.5 or 0.2
the soccer field at Mario's school has an area of 6,000 square meters. how can mario show the area as a whole number multiplied by a power of 10?
Answer: [tex]6\times10^3[/tex] square meters.
Step-by-step explanation:
Given : The soccer field at Mario's school has an area of 6,000 square meters.
Here, 6,000 can be written as [tex]6\times1,000[/tex]
And [tex]1000=10\times10\times10=10^3[/tex] [using exponents]
Then, 6,000 can be written in the form of a whole number multiplied by a power of 10 as [tex]6,000=6\times10^3[/tex]
Hence, Maria can show the area as [tex]6\times10^3[/tex] square meters. .