Answer:
[tex]3(6b-1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]
Taking (2a-1) as common
[tex](18b+3)(2a-1)[/tex]
=> [tex]3(6b-1)(2a-1)[/tex]
Answer:
[tex]3(6b+1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab - 18b+6a-3[/tex]
Factor the two groups.
[tex]18b(2a-1)+3(2a-1)[/tex]
Take 2a - 1 common.
[tex](18b+3)(2a-1)[/tex]
Factor 18b + 3.
[tex]3(6b+1)(2a-1)[/tex]
please help!!!!!!!!!!!
Answer:
The x value of the point 1/4 the distance from point C to point D is -0.25
Step-by-step explanation:
The given information are;
The location of point C = (1, 2)
The location of point D = (-4, -2)
The point 1/4 from point C to point D is the point 3/4 from point D to point C
Which gives;
The coordinate at point D + 3/4× The difference between the coordinates of point C and point D
Which is (-4 + 3/4×(1 - (-4), - 2 + 3/4×(2 - (-2))
Which gives;
(-4 + 3.75, -2 + 3) and (-0.25, 1)
The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)
Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.
A square and a regular heptagon are coplanar and share a common side $\overline{AD}$, as shown. What is the degree measure of exterior angle $BAC$? Express your answer as a common fraction.
Answer:
[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]
Step-by-step explanation:
The interior angle of a regular heptagon = = 900/7° = 128.57°
Therefore, angle DAB = 128.57°
The interior angle of the square = 90°
Therefore, angle DAC = 90°
Therefore, we have
angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))
Angle BAC = 360° - angle DAB - angle DAC = 360° - 900/7° - 90° = 990/7°
Angle BAC = 141.43°
Expressing 141.43° as a common fraction gives;
[tex]141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}[/tex]
[tex]\angle BAC = 141\frac{3}{7} ^{\circ}[/tex]
The degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex]
Given, A square and a regular heptagon are coplanar as shown in below figure attached.
We have find the exterior angle of BAC.
We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,
[tex]\frac{180(n-2)}{n}[/tex] where n is the number of sides.
Since the heptagon has 7 no. of sides.
So regular heptagon's interior angle measures,
[tex]\frac{180(7-2)}{7}=128\frac{4}{7}[/tex]
Hence [tex]\angle A[/tex] will be[tex]128\frac{4}{7}[/tex] degrees.
We know that a square's interior angle is 90 degrees and a heptagon's interior angle is 128.57 degrees. We will subtract those from 360 degrees to find angle BAC.
[tex]\angle BAC = 360 - (\angle A + 90)\\[/tex]
[tex]\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ[/tex]
Hence the degree measure of exterior angle BAC is [tex]141\frac{3}{7}^\circ[/tex].
For more details on Exterior angle follow the link:
https://brainly.com/question/2125016
Solve and CHECK the following:
8−(5x−2)=6−2(3x+1)
Answer:
X=6/11
Step-by-step explanation:
8-(5x-2)=6-2(3x+1)
8-5x+2=6-6x-2
10-5x=4-6x
6=11x
x=6/11
Answer:
8-5x-2=6-6x+2
8-2-6-2=5x-6x
-10+8=-x
-2 =-x
x=2 ........×-1
x=2
What is the average length of a side in the shape made from the file datatest1.txt whose contents are shown below (just give to two decimal places)? -3,3 -4,-3 4,-2 6,5
Answer:
0.75
Step-by-step explanation:
The average length is given as the sum of all the lengths given divided by the number of lengths (frequency).
Mathematically:
Average = (Sum of lengths) / frequency
The lengths given are -3, 3, -4, -3, 4, -2, 6, 5. There are 8 lengths there.
The average is therefore:
Average = (-3 + 3 + (-4) + (-3) + 4 + (-2) + 6 + 5) / 8
Average = 0.75
Solve this problem n-6/-4=6
Answer:
N= 9/2
Step-by-step explanation:
Answer:
n = - 18Step-by-step explanation:
[tex] \frac{n - 6}{ - 4} = 6[/tex]
Cross multiply
We have
n - 6 = - 4 × 6
n - 6 = - 24
n = - 24 + 6
n = - 18Hope this helps you
Evaluate 3(4 - 2)2
A. 108
B. 36
C. 12
D. 100
Answer:
12
Step-by-step explanation:
3(4 - 2)^2
Parentheses first
3 ( 2) ^2
Then exponents
3 *4
Then multiply
12
Use multiplication to solve the proportion
w/4 = 42/24
Answer: w=5
Step-by-step explanation:
How can systems of linear equations with two variables be solved using algebraic methods?
Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form: Ax + By = C.
which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP
Answer:
Every pair where y is equal x multiplied by 2.5for exapmle: (2, 5) {5=2•2.5}
(8, 20) {20=8•2.5}
(-5, -12.5} {-12.5=-5•2.5}
Step-by-step explanation:
-3x + 5y = 2x + 3y-3y+3x -3y+3x
2y = 5x÷2 ÷2
y = 2.5xAnswer:
neither
Step-by-step explanation:
(a) Complete the statements below about the graphs of y = -x and y=x.
Compared to the graph of y=x, the graph of y=-x is Choose one
Compared to the graph of y=x, the graph of y = -x intersects the y-axis at Choose one
2
(b) Complete the statements below about the graphs of y=x+
and y=x.
3
2
Compared to the graph of y = x, the graph of y=x+ 5 is Choose one
2
Compared to the graph of y=x, the graph of y=x+
3
intersects the y-axis at Chonse one
a higher point
the same point.
a lower point
Х
?
Answer:
this. question is not clear please send clear question
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
We have the following two functions -
y = -x
AND
y = x
Refer to the graphs attached for both the functions -
y = - x and y = x
The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.
We can conclude that -
Graphs pass through the origin. (y = x) has a slope of +1 while (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.To solve more questions on straight line, visit the link below-
https://brainly.com/question/29030795
#SPJ2
The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?
Answer:
A.
Step-by-step explanation:
We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)
Then, replacing x by 3 on every option we get:
[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]
So, the answer is A. because g(x) is equal to 1
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100. Which two events are independent?
Answer:
hey! it's A and X on edge :)
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer:
(-15,3)
Step-by-step explanation:
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
Need help with this problem!
Answer:
1 Pound of Rock = .01 cubic feet
OR 100 pounds per cubic foot
A) Company needs 500,000 pounds of rock
Volume of Rock to be transported: = 500,000 * .01 =
5,000 cubic feet
B) Volume of each truck 12 * 9 * 8 = 864 cubic feet
C) Trucks needed for entire shipment:
= 5,000 / 864 = 5.78
So, we'll need 6 trucks.
Step-by-step explanation:
Plzzzzz Help I really need help
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
(1.5,-3) and (4.5,-3)
Step-by-step explanation:
Please help.. ty if you do
Answer:B
Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer
WILL MARK BRAINLIEST!!! PLZ HELP!!! Which graph best represents the function f(x) = (x + 1)(x − 1)(x − 4)? I think it's D, but im not sure
Answer:
D
Step-by-step explanation:
Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct
Answer:
[tex]\boxed{\mathrm{D}}[/tex]
Step-by-step explanation:
[tex]y= (x + 1)(x - 1)(x - 4)[/tex]
Let x = 0, find the y-intercept.
[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]
[tex]y= ( 1)(- 1)(- 4)[/tex]
[tex]y=4[/tex]
The function crosses the y-axis at 4.
The only graph that shows this is graph D.
On a coordinate plane, a line goes through (negative 4, negative 1) and (0, 1). Square a is around (negative 5, negative 2), square b is around (negative 1, 1), square c is around (1, 2), and square d is around (4, 4). The linear equation y = one-half x + 1 is represented by the graphed line. A second linear equation is represented by the data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 4. Column 2 is labeled y with entries 7, 6, 5, 4. In which square is the solution located?
Answer: D
Step-by-step explanation:
The solution of the two equations does not exist since they are parallel.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in x coordinates of two points.
Equation of a line in slope intercept form is y = mx + b, where m is the slope and b is y intercept.
Given linear equation of a line in slope intercept form as,
y = 1/2 x + 1
Here slope = 1/2 and y intercept = 1
y intercept is the y value of a point where it touches the y axis.
A second linear equation is to be found by using the values in the table.
Taking two points (2, 7) and (0, 6).
Slope = (6 - 7) / (0 - 2) = (-1) / (-2) = 1/2
Since the point (0, 6) is given, 6 is the y coordinate when the line touches the Y axis.
y intercept = 6
Equation of the second line is,
y = 1/2 x + 6
Since the slopes of two lines are equal, they are parallel.
There is no solution for two parallel lines.
Hence there is no solution for the linear equations given.
To learn more about Slope, click on the link :
https://brainly.com/question/19131126
#SPJ3
Andrew is putting reflective tape around the edge of a stop sign. The sign is a regular octagon, and each side is 11 inches long. How many inches of tape will Andrew need?
Answer:
88 inches
Step-by-step explanation:
We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.
Answer:
88 inches
Step-by-step explanation:
The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.
Helppppppppp I need answer❤️❤️❤️
Answer:
c. (3x^2-1)(x-7)
Step-by-step explanation:
=(3x^3-21x^2)+(-x+7)
=-(x-7)+3x^2(x-7)
=(3x^2-1)(x-7)
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
Round the following numbers to 1 significant figure:
a) 25 637
b) £2.51
c)9877 m
Answer:
b
Step-by-step explanation:
you need to round 2.51 to 3 because it was the correct answer
how many 4-digit numbers can be formed using only the digits 9, 8 and 7? :p
Answer: 81
Step-by-step explanation:
First digit and Second digit and Third digit and Fourth digit
3 choices x 3 choices x 3 choices x 3 choices = 81
Which is a correct first step in solving 5 – 2x < 8x – 3? 5 < 6x – 3 3x < 8x – 3 5 < 10x – 3 2 – 2x < 8x
Answer:
5 < 10x – 3
Step-by-step explanation:
The inequality is 5 - 2x < 8x - 3.
5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.
3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.
5 < 10x – 3 is correct because 8x + 2x = 10x.
2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.
Answer:
C on edg
Step-by-step explanation:
find the value of x 4x+15=7x+2=
Answer:
4x+15=7x+2
15_2=7x_4x
13=3x
13/3=x
4.33=x
Answer:
[tex]\boxed{x=\frac{13}{3} }[/tex]
Step-by-step explanation:
Subtract both sides by 15 and 7x.
Then, divide both sides by -3.
[tex]4x+15=7x+2\\4x-7x=2-15\\-3x=-13\\\displaystyle x=\frac{13}{3}[/tex]
The students at a High School earned money for an international animal rescue foundation. 82 seniors earned an average $26.75 per student, 74 juniors earned an average $12.25 per student, 96 sophomores earned an average $15.50 per student, and 99 freshmen earned an average $10.85 per student. What was the average collection for a student in this school?
A. $16.34
B. $16.13
C. $5.37
D. $16.63
Answer: B. $16.13
Step-by-step explanation:
Formula : Sum of n observations = Mean x n
Given, 82 seniors earned an average $26.75 per student, 74 juniors earned an average $12.25 per student, 96 sophomores earned an average $15.50 per student, and 99 freshmen earned an average $10.85 per student.
Total students = 82+74+96+99 =351
Sum of earnings of 82 seniors = $26.75 x 82= $2193.5
Sum of earnings of 74 juniors = $12.25 x 74 = $906.5
Sum of earnings of 96 sophomores = $15.50 x 96 = $1488
Sum of earnings of 99 freshmen = $10.85 x 99 = $1074.15
Total earnings = $2193.5 + $906.5+ $1488 +$1074.15
= $5662.15
Average collection = (Total earnings) ÷ (Total students )
= $5662.15÷ 351
≈ $16.13
Hence, the average collection for a student in this school = 16.31
So, the correct option is B.
what is the measure of arc angle EG
Answer:
80 = EG
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
40 = 1/2 EG
Multiply each side by 2
80 = EG
Answer:
80 deg
Step-by-step explanation:
Theorem:
The measure of an inscribed angle is half the measure of the intercepted arc.
m<EFG = (1/2)m(arc)EG
40 deg = (1/2)m(arc)EG
m(arc)EG = 2 * 40 deg
m(arc)EG = 80 deg
if the denominator of a fraction is multiplied by 2,the value of the fraction is
Answer:
Half of its original
Step-by-step explanation:
When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.
Examples:
In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2
In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.
Hope this helps
Good luck
Sorry for the bad Angle, anyways if anyone could help me out that be great, I would do the question myself if I'd know how to do it, have a nice day
Answer:
210 students
Step-by-step explanation:
The total number of students surveyed was
19+14+30+23+14 = 100
The fraction that picked Yosemite is 14/100
Multiply that fraction by the total number of students
1500* 14/100 = 210
Answer:
210 students
Step-by-step explanation:
vote me brainliest plz
Two cars leave an intersection. One car travels north: the other east. When the car traveling north had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?
Answer:
20 miles
Step-by-step explanation:
Given that :
When the car traveling north 'N' had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east
Let the distance moved by the east bound car be e,
therefore, distance between the cars when the northbound car had traveled a distance of 15 miles = e + 5
Using Pythagoras rule:
(Hypotenus)^2 = (adjacent)^2 + (Opposite)^2
(e+5)^2 = 15^2 + e^2
(e+5)(e+5) = 225 + e^2
e^2 + 5e + 5e + 25 = 225 + e^2
e^2 + 10e + 25 = 225 + e^2
e^2 - e^2 + 10e = 225 - 25
10e = 200
e = 200 / 10
e = 20 miles
Check attached picture for solution diagram