Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
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Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4
Answer:
-6
Step-by-step explanation:
substitute x=-2
f(-2)=(-2)-4=-6
Answer:
- 6
Step-by-step explanation:
f(x) = x - 4
f( - 2) = - 2 - 4 = - 6
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
guys answer fastyyytytttttt
Answer:
1/4
Step-by-step explanation:
there are 2 footballers
and 8 other sports
therefore, 2/8 or 1/4
Jane's dance recital started at 1:17 PM. It ended at 5:34 PM. How long did the recital last?
Answer:
the recital lasted 4 hours and 17 minutes
Answer:
4 hours 17 minutes
Step-by-step explanation:
5.34-1.17
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
due soon!!!
find the value of x
Answer:
30 degrees
Step-by-step explanation:
see the opposite side. it is the same thing but upside-down.
(remember straight line is 180 degrees)
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
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The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
Simplify each expression
-4 + 7 (1-3m)
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
Which expression is equivalent to (1.009 1/12) 12t?
A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls
Answer:
8 rooms
Step-by-step explanation:
6 ÷ 3/4 which equals 6 x 4/3 = 8
Answer:
8 rooms
Step-by-step explanation:
6 / (3/4) = 8
Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.
Answer:
C is correct
Step-by-step explanation:
I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
what is the soultons from least to greatest (x+6)(-x+1)=0
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
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What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
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A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
Solve -17 = for x. x =
Answer:
-17
Step-by-step explanation:
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
What is the coordinate of the focus
for the following parabola:
(x - 1)2 = 12(y + 2)
A. (1, -2)
B. (0, 12)
C. (12,0)
D. (1, 1)
Answer:
I want to say B or D please tell me if I'm right lol
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
57.18
Step-by-step explanation:
C = 2πr
C = 2(π)(9.1)
C = 57.18
.
=2×22/7×12
=75.42in
And
d=18.2cm
[tex]c = \pi \: d[/tex]
= 22/7×18.2
=57.2cm
Plz help.
Thank u soooooo muchhh
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12=100+0.3x
-100 -100 subtract 100 both side
-88=0.3x divide -88 into 0.3
x=-293.3
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).