Answer:
After factorizing the given polynomial we get 6x^2 (x+6)(x-2)
Step-by-step explanation:
Given Polynomial:
6x^4+24x^3−72x^2
We need to completely factorize the polynomial.
Consider,
6x^4+24x^3−72x^2
GCF = 6x^2, By taking it common out
= 6x^2 (x^2+4x-12)
= 6x^2 (x^2+6x-2x-12)
= 6x^2 (x(x+6)-2(x+6))
= 6x^2 (x+6)(x-2)
Therefore, After factorizing the given polynomial we get 6x² ( x + 6 ) ( x - 2 )
Please mark me Brainliest.
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x > 0 and y < 0
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Answer:
D. Quadrant IV
Step-by-step explanation:
Directed numbers are numbers with either a positive sign or a negative sign. These numbers can be located easily on the number line. Examples are: 2, 5, -1, -3, -7, 9 etc.
Given that: x > 0 and y < 0
For example, let us consider specific directed number for x and y. Let x = 5 and y = -2, so that; (5, -2). This point can be located in the fourth quadrant of a Cartesian plane.
Therefore considering a Cartesian plane, the quadrant in which (x, y) could be located is: Quadrant IV.
This is an example of
which type of drawing
in geometry?
A. A net
B. A perspective drawing
C. A 3 dimensional sketch
D. An orthographic drawing
Answer:
I'm going to go with B.
Step-by-step explanation:
but don't just take my answer bc I'm not 100% sure
The given figure is an example of an Orthographic drawing.
So the correct option is option D.
In Orthographic drawing, we represent several 2D views of an object to obtain a 2D object.
The most common views of Orthographic drawings are top, right, and front.
Though the figure mentioned in the question represents the top, right, and front part view and as per the definition of perspective drawing it is not flat, it cant be looked flat when opened which satisfies the definition of net so, the figure satisfies option 3.
Thus, the figure is an example of an Orthographic drawing.
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Question 1
Study the ordered pairs in the table. Move point D to the locations shown, and note mZDFB, mZCEA, AE, and BF
You can turn on the grid to find the locations more easily. Round angle measurements to the nearest degree,
Location of Dm DFB m.CEA BF AE
(12,2)
(11, 1)
(4,2)
(8,5)
Answer:
(12, 2) 85° 95° 2.72 units 3.29 units
(11, 1) 81° 99° 2.03 units 3.04 units
(4, 2) 90° 90° 3.62 units 3.62 units
(8, 5) 102° 78° 5.70 units 4.37 units
(9, 7) 109° 71° 6.93 units 4.82 units
Step-by-step explanation:
I was looking for an answer then decided to do it myself and these are the correct answers.
(12, 2)
85° 95° 2.72 units & 3.3 units
(11, 1)
81° 99° 2.03 units & 3.04 units
(4, 2)
90° 90° 3.62 units & 3.6 units
(8, 5)
102° 78° 5.70 units & 4.4 units
What is an ordered pair in math?An ordered pair is a composition of the x-coordinate and the y-coordinate, having two values written in a fixed order. Ordered pair helps to locate a point on the Cartesian plane.
What is a Cartesian plane?The cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of the x-axis & y-axis. The 2 axes intersect at the angle of 90degree to each other at the point called the origin.
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Challenge!
-47 -2.5 = -2.5 - 1.7m - 2.3m
Answer:
47/4 or 11.75 = m
Step-by-step explanation:
-47 -2.5 = -2.5 - 1.7m - 2.3m
Combine like terms
-49.5 = -2.5 -4m
Add 2.5 to each side
-49.5 +2.5 = -2.5+2.5 -4m
-47 = -4m
Divide each side by -4
-47/-4 = -4m/-4
47/4 = m
11.75 = m
how many ounces of water are equal to 3/4 cups of water
Answer:
6 ounces
Step-by-step explanation:
4 tablespoons 1/4 cup 2 fluid ounces
5 1/3 tablespoons 1/3 cup 2.7 fluid ounces
8 tablespoons 1/2 cup 4 fluid ounces
12 tablespoons 3/4 cup 6 fluid ounces
The solution is 6 fluid ounces
The value of 3/4 cups of water is given by the equation A = 6 fluid ounces
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 amount of water be represented as A
Let the number of cups of water be = 3/4 cups
Now ,
1/4 cups = 4 tablespoons = 2 fluid ounces
1/2 cups = 8 tablespoons = 4 fluid ounces
So , 3/4 = ( 1/2 ) + ( 1/4 )
And , Substituting the values in the equation , we get
3/4 cups = 12 tablespoons = 6 fluid ounces
Therefore , the value of A is 6 fluid ounces
Hence , the equation is A = 6 fluid ounces
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35 points answer quickly please. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers. (a) 2x+4(x-1)=2+4x (b) 25-x=15-(3x+10) (c) 4x=2x+2x+5(x-x)
Answer:
[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]
Step-by-step explanation:
2x+4(x-1)=2+4x
Expand brackets.
2x+4x-4=2+4x
Combine like terms.
6x-4=2+4x
Subtract 4x from both sides.
Add 4 to both sides.
2x=6
Divide both sides by 2.
x=3 (One solution)
25-x=15-(3x+10)
Distribute negative sign.
25-x=15-3x-10
25-x=-3x+5
Add x and -5 to both sides.
20=-2x
Divide both sides by -2.
-10=x (One solution)
4x=2x+2x+5(x-x)
Solve for brackets.
4x=2x+2x+5(0)
4x=2x+2x
Combine like terms.
4x=4x
Divide both sides by 4.
x=x
All real numbers are solutions. (All real numbers)
is 19/9 a rational or irrational number
Answer:
Rational.
Step-by-step explanation:
This is because
[tex]19 \div 9 = 2.1111111...[/tex]
Where the product is a recurring decimal and recurring /repeating decimals are rational.
Hope this helps... :-)
The modulus of (3 - 4i)^4 is _____.
5
20
81
625
Answer:
625
Step-by-step explanation:
The modulus of 3 - 4i is
[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus
| [tex](3-4i)^{4}[/tex] |
= [tex]5^{4}[/tex]
= 625
HELP PLEASE...Find the volume of this triangular prism. Enter only the numerical part of your answer in square units.
Answer:
240 m³
Step-by-step explanation:
Triangular base = 1/2bh=
1/2(5)(12)=30
30x8=240m³
(Volume is in cubic units, not square units, so I’m not sure why the question says that.)
in the
fallowing AB llcD the value is equal to
60
75
45
30
You worked 14 hours last week and earned $166 before taxes. Your job as a lifeguard
pays $13 an hour and your job as a cashier pays $11 an hour. How many hours did you
work at each job?
Answer: 6 hours as lifeguard 8 hours as cashier.
Step-by-step explanation: 6x13=78 11x8=88 78+88/166
The 7-digit numbers in a given area code have the form ABC-XXXX, where X, B, and C can be any digit 1-9 and A is
restricted to 0-9. There are two other restrictions:
• B and C cannot both equal 1 since these values are designated for other purposes such as 911 (emergency)
and 411 (information), and
• 555-0100 through 555-0199 are reserved for fictional uses such as in television shows or movies.
According to these conditions, how many 7-digit numbers are possible in a single area
code?
Answer:
The number of 7-digit numbers are possible in a single area code is 5248600
Step-by-step explanation:
The given parameters are;
The number of digits in the area code = 7
The possible digits for X, B and C are 1 - 9 = 9 digits
The number of possible digits for A is 0 - 9 = 10 digits
Exceptions
1) B and C cannot both =
2) 555-0100 through 555-0199 are reserved for television or movies
Therefore, we have, the number of 7 digits numbers without exceptions = 10×9⁶ = 5314410 numbers
The number of the exceptions are
Exception 1) 10 × 1 × 1 × 9 × 9 × 9 × 9 = 65610 numbers
Exception 2) 555-0100 through 555-0199 = 0199 - 0100 = 200 numbers
The number of possible numbers = 5314410 - 65610 - 200 = 5248600
The number of 7-digit numbers are possible in a single area code = 5248600.
Answer answer it it it Answer answer it it it
Answer: C
Step-by-step explanation:
6+3=9
9+3=2
Answer: A
Step-by-step explanation:
6+3=9
9+3=12
Simplify. Rewrite the expression in the form b^n. b^10/b^6
Answer:
The answer is b⁴Step-by-step explanation:
[tex] \frac{ {b}^{10} }{ {b}^{6} } [/tex]
Using the rules of indices
That's
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]
Since the bases are the same and are dividing we subtract the exponents
So we have
[tex] \frac{ {b}^{10} }{ {b}^{6} } = {b}^{10 - 6} [/tex]
We have the final answer as
b⁴Hope this helps you
Answer:
b⁴
Step-by-step explanation:
b¹⁰ / b⁶ = b¹⁰ ⁻⁶ = b⁴
Will mark as brainliest! Ishi walked a total of 2 1/2 miles on a treadmill. He walked at a constant rate of 4 miles per hour. Which expression shows how long, in minutes, Ishi walked on the treadmill? A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour B. 2.5 miles divided by 4 miles/ hour x 60 minutes / hour C. 2.5 miles x 60 minutes/ hour D. 2.5 miles x 4 miles/hour divided by 60 minutes/hour
Answer:
A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour
Step-by-step explanation:
Distance = 2 1/2 = 2.5 milesSpeed = 4 miles/hour = 4 miles / 60 minutesTime = ?Time = distance/speed:
2.5 miles ÷ 4 miles / 60 minutes =2.5 miles × 60 minutes / 4 miles =37.5 minutesCorrect answer choice is:
A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hourf(x) =x+2 g(x)=x-4 (fg)(x)
Answer:
x^2-2x-8
Step-by-step explanation:
FOIL the two together and get x^2 for the first, -4x outer, +2x inner, -8 last. Then combine like terms and get x^2-2x-8
Answer:
(fg)(x)) = x² - 2x -8
Step-by-step explanation:
f(x) = x + 2, g(x) = x - 4 (f*g)(x) = ?----------
(fg)(x) = (x-4)(x + 2) = x² - 4x + 2x - 8 = x² - 2x -8 (fg)(x)) = x² - 2x -8Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
Answer:
Exactly 3 3/8 bags of soil are needed for Pan to fill the flower pot
Step-by-step explanation:
Here in this question, we are concerned with calculating the number of bag of soils with a given volume each needed to fill a flower pot with soil.
What we simply need to do here is to divide the volume of the flower pot with the volume of the individual bag of soils;
Mathematically, that would be;
9 divided by 2 2/3
= 9 divided by 8/3
= 9 * 3/8 = 27/8 = 3 3/8 bag of soils
Can someone answer this as soon as possible please thank you so much
Answer: 40
Step-by-step explanation:
angle 1 and 2 are alternative interior angle which means they are equal
-------------------------------
angle 1= angle 2
2x+20=3x+10
x=10
------------------------------
angle 1=2x+20
=2(10)+20
=20+20
=40
Step-by-step explanation:
Hey there!!
Just do it in a simple way.
Use the properties of parallel lines, and find the value of x to find angke 1.
angle 1= angle 2 { alternate angles on parallel lines are equal }
[tex]2x + 20°= 3x + 10°[/tex]
or, 3x-2x = 20°-10°
x= 10°.
now,
angle 1= 2x+ 20°
=2×10°+20°
Therefore, the measure os angle 1 is 40°.
Hope it helps...
How are the rules for adding and subtracting negative numbers similar to adding and subtracting positive numbers? Justify your response with an example
Answer: the rules are
+(+) Two like signs become a positive sign
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign
−(+)
Step-by-step explanation:
Example: 3+(+2) = 3 + 2 = 5, 6−(−3) = 6 + 3 = 9, 7+(−2) = 7 − 2 = 5,8−(+2) = 8 − 2 = 6 hope this helps you :)
Move point B some more. As you move point B, the angle formed between and varies. If you want to make perpendicular to what do you need to do? Explain in terms of .
Answer:
To make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90°.
Step-by-step explanation:
Plato
If you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.
What are angles? What is a mathematical function, equation and expression?Angles : the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that as you move point B, the angle formed between AB and CD varies.
If you have to make AB perpendicular to CD, rotate AB clockwise, such that the point B moves in clockwise direction, until and unless both the lines intersect at 90 degrees.
Therefore, if you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.
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The sum of a number y and five is equal to seven.
Write algebraic expression
Answer:
The algebraic expression is:
a + 5 = 7
Step-by-step explanation:
The algebraic expression is:
a + 5 = 7
then:
a = 7-5
a = 2
and the number is:
2
When f(n) =2 what is the value of n
Answer:
2
Step-by-step explanation:
n = 2
A party of 20 people are getting into taxis. Each taxi holds the same number of passengers. If all the taxis fill up, how many people could be in each taxi? Give two possible answers.
Answer:
3
Step-by-step explanation:
es is making 141414 jars of honey peanut butter. He wants to use 454545 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of honey in each jar.
Answer:
i dont know this man if i did would help
Step-by-step explanation:
Suppose you have a pocketful of change. You have some pennies (p) and some quarters (q). One expression could be used to describe the total number of coins in your pocket: p + q. A second expression could be used to describe the amount of money (in dollars) in your pocket: 0.01p + 0.25q. Notice that each expression describes a different characteristic of the change in your pocket. Evaluate each expression for the situation where you have 6 quarters and 7 pennies in your pocket. Type the correct answer in each box. Use numerals instead of words. For the amount of money, do not enter a dollar symbol.
Answer:
13
1.57
Step-by-step explanation:
So we have two equations regarding the number of quarters q and the number of pennies p:
[tex]p+q[/tex]
Which represents the total amount of coins and
[tex]0.01p+0.25q[/tex]
Which represents the total amount of money in dollars.
So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for q and 7 in for p:
[tex]p+q\\(7)+(6)=13[/tex]
This tells us that we have 16 coins in total.
[tex]0.01(7)+0.25(6)\\=0.07+1.50\\=1.57[/tex]
This tells us that we have a total amount of $1.57.
Answer:
[tex]\Large \boxed {13} \\ \boxed{ 1.57}[/tex]
Step-by-step explanation:
Pennies ⇒ [tex]p[/tex]
Quarters ⇒ [tex]q[/tex]
First expression describes the total number of coins in the pocket ⇒ [tex]p+q[/tex]
Second expression describes the amount of money in dollars in the pocket ⇒ [tex]0.01p+0.25q[/tex]
There are 6 quarters and 7 pennies in the pocket.
First expression :
[tex]p+q \\ 7 + 6 = 13[/tex]
Second expression :
[tex]0.01p+0.25q \\ 0.01(7)+0.25(6) \\ 0.07+1.5 =1.57[/tex]
ind the value of the 60th term of the following sequence: 33, 28, 23, 18...
Answer:
-262
Step-by-step explanation:
Given sequence is: 33, 28, 23, 18...
First term a = 33
Common Difference d = 28 - 33 = - 5
To find: [tex] t_{60}[/tex]
By nth term of an AP.
[tex]t_n = a + (n - 1)d \\ t_{60} = 33 + (60- 1)( - 5) \\ t_{60} = 33 + 59( - 5) \\ t_{60} = 33 - 295\\ t_{60} = - 262\\ [/tex]
(2x+ 2) +(3 - 5x) 4.) (3x3 - 4x4) +(2x + 5x4)
Answer:
1. [tex] \boxed{ \bold{ \sf{ - 3x + 5}}}[/tex]
2. [tex] \boxed{ \bold{ \sf{ {x}^{4} + 3 {x}^{3} + 2x}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{(2x + 2) + (3 - 5x)}[/tex]
When there is a ( + ) in front of expression in parentheses , the expression remains the same.
⇒[tex] \sf{2x + 2 + 3 - 5x}[/tex]
Collect like terms
⇒[tex] \sf{ - 3x + 2 + 3}[/tex]
Add the numbers
⇒[tex] \sf{ - 3x + 5}[/tex]
2. [tex] \sf{( {3x}^{3} - 4 {x}^{4} ) + (2x + 5 {x}^{4}) }[/tex]
When there is a ( + ) in front of expression in parantheses , the expression remains the same
⇒[tex] \sf{3 {x}^{3} - 4 {x}^{4} + 2x + {5x}^{4} }[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{4} + 3 {x}^{3} + 2x}[/tex]
Hope I helped!
Best regards!!
Plz halp it’s due today>_<
Thank you
Answer:
Point B
Step-by-step explanation:
The square root of 11 is about 3.31. SO the most accurate point is B.
If sally study’s math 1.5 hours a day predict her math grade based on the scatter plot above
Answer:
Approximate marks sally get = 95%
Step-by-step explanation:
Given:
Sally's study time = 1.5 hour = 1.5 × 60 = 90 minute
Find:
Approximate marks sally get.
Computation:
Number of minute sally study = 1.5 × 60
Number of minute sally study = 90 minutes
Using graph,
Vertical line on 90 minutes shows 95% , we can say that the person who study 90 minutes per day get 95% marks
So,
Approximate marks sally get = 95%
Answer:95
Step-by-step explanation:
The least common multiple of two integers is 240, and the greatest common divisor is 24. Given that one of the integers is 48, what is the other integer?
Answer:
120
Step-by-step explanation:
The computation of the other integer is shown below:
The Factor of 48 is 2^4 × 3
Also the greatest common divisor is 24,
This results that the second number also contains the factors 2^3 and 3 but not a fourth 2.
Now when there is a division of 240 by 48 so the number comes is 5
Now the second number factors are 2^3 and 3 that represents that it is under the factors of 48 but the factor 5 would arise from the second number
So, the other number is 120
Answer:
120
Step-by-step explanation:
If you want the aops explanation:
The prime factorization of 48 is $2^4\cdot3$. Since the greatest common factor is 24, that means the other number also has the factors $2^3$ and 3 but not a fourth 2. When we divide 240 by 48, we get 5. The factors $2^3$ and 3 of the other number are covered by the factors of 48, but the factor 5 must come from the other number. So, the other number is $2^3\cdot3\cdot5=\boxed{120}$.