Answers
Answer:
Numerator :
[tex]8x^2 - 10x + 3 = 8x^2 -6x -4x + 3[/tex]
[tex]= 2x(4x -3)-1(4x -3) \\= (2x-1)(4x-3)[/tex]
Denominator :
[tex]6x^2 + 3x -3 = 6x^2 +6x -3x - 3[/tex]
[tex]=6x(x+1)-3(x+1)\\=(6x-3)(x+1)\\=3(2x-1)(x+1)[/tex]
[tex]\frac{8x^2-10x+3}{6x^2+3x -3} = \frac{(2x-1)(4x-3)}{3(2x-1)(x+1)} = \frac{(4x-3)}{3(x+1)}[/tex]
Related Questions
Find the slope of the line.
(-2, 1)
)
(2, 1)
3-2-1
Answers
Answer:
(0-2)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero
Using the formula
m = (y2-y1)/(x2-x1)
= (1-1)/(2 - -2)
= 0/(2+2)
= 0/4
help me out a little
Answers
I graphed the equations and the ordered pairs and (1,5) is the only point that fell on both of the shaded areas.
hope this helps !!
When the sun is at a certain angle in the sky, a 50 foot building will cast a 20 foot shadow. What is the length of the shadow in feet cast by a 20 foot pole at the same time?
Answers
Answer:
Prepara a bar graph. (Mention the scale)
Potato= 25 per kg
Tomato= 40 per kg
Cauliflower= 10 per kg
Chilli= 15 per kg
Lemon= 30 per kg
Answer:
8 ft
Step-by-step explanation:
The height of the building/pole and shadow of each are in proportion.
let x be the length of shadow of the pole, then
[tex]\frac{50}{20}[/tex] = [tex]\frac{20}{x}[/tex] ( cross- multiply )
50x = 400 ( divide both sides by 50 )
x = 8
The shadow cast by the pole is 8 ft
How to graph y= 2x -2
Answers
Answer:
start at the y coordinate -2 then go up 2 and right 1
Step-by-step explanation:
Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. 25 point question btw
Answers
Answer:
79 degrees
Step-by-step explanation:
79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees
Answer:
[tex]79^{\circ}[/tex]
Step-by-step explanation:
From vertical angles, [tex]m\angle a=79^{\circ}[/tex]
From corresponding angles, [tex]m\angle b=m\angle a[/tex]
Therefore, we have [tex]m\angle b=m\angle a=\boxed{79^{\circ}}[/tex]
Please help out I can’t really love this
Answers
========================================================
Explanation:
When we divide two fractions like this, we flip the second fraction and multiply like so...
[tex]\frac{5}{7} \div \frac{8}{9}\\\\\frac{5}{7} \times \frac{9}{8}\\\\\frac{5 \times 9}{7 \times 8}\\\\\frac{45}{56}\\\\[/tex]
which points us to choice B as the answer.
The fraction 45/56 cannot be reduced further because 45 and 56 do not have any factors in common other than 1.
Answer:
45/56
Step-by-step explanation:
5/7 ÷ 8/9
Copy dot flip
5/7 * 9/8
5*9 =45
7*8 = 56
45/56
Samar gets Rs 150 as pocket money per month. On his 15th birthday, his father increased it by 20%. How much more money will he get every month now? A
Answers
Answer:
180
Step-by-step explanation:
150/100*20=30 +150=180
John needs 6 cups of ice cream to make 4 servings of milkshake. How many servings can John make using 3 gallons of ice cream?
Answers
Answer:
24
Step-by-step explanation:
-------- 24 --------
Hope that helps
Find the area of the composite figure.
Answers
Answer:
Area of composite figure = 623.25 cm²
Step-by-step explanation:
Given:
Equal side of triangle = 39 cm
Diameter of semi-circle = 30 cm
Base of triangle = 30 cm
Find;
Area of composite figure
Computation:
Radius of triangle = 30 / 2
Radius of triangle = 15 cm
Height of triangle = √39² - 15²
Height of triangle = √1,521 - 225
Height of triangle = 36 cm
Area of composite figure = Area of semi-circle + Area of triangle
Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]
Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]
Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]
Area of composite figure = [706.5 / 2] + [270]
Area of composite figure = 353.25 + 270
Area of composite figure = 623.25 cm²
which answer is it to dis question?
Answers
Answer:
Step-by-step explanation:
(A) is the right
PLEASE ANSWER QUICK. I AM SO CONFUSED. HELP.
Answers
Answer:
Slope: 2
This is because it is going up two blocks within one block space.
Feel free to mark it as branliest :D
gradient = 2
Rise over Run = 5 / 2.5 = 2
Triangle XY Z has vertices X = (5, -1), Y = (1, 4), and Z=
(-8,0). Triangle X'Y'Z' is formed when triangle XYZ is
reflected over the y-axis. What are the coordinates of
triangle X'Y'Z'?
Answers
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
X (5, - 1 ) → X' (- 5, - 1 )
Y (1, 4 ) → Y' (- 1, 4 )
Z (- 8, 0 ) → Z' (8, 0 )
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks
Answers
y = 248 - 2x
good luck :))))
if x+y=12 and xy=27 . find x^3+y^3
pls help with steps
Answers
Answer:
Step-by-step explanation:
use formula
x^3+y^3=(x+y)^3-3*x*y(x+y)
=12^3-3*27(12)
=1728-972
=756
Answer:
x^3 + y^3 = 756
Step-by-step explanation:
Given that, x+y=12 and xy=27
We know that,
[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]
∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]
[tex]=> 1728 = x^3 + y^3 + 972[/tex]
[tex]x^3 + y^3 = 1728 - 972[/tex]
[tex]==> x^3 + y^3 = 756[/tex]
What is the radius of this circle of the circumference is 18pi cm?
Answers
Answer:
r=9cm
Step-by-step explanation:
C= 2pi r = 18 pi so
2r =18 so r = 18/2=9
Answer:
[tex]r=9[/tex]
Step-by-step explanation:
The equation to find the circumference of a circle when given the radius is the following,
[tex]C=r(\pi)(r)[/tex]
There (C) represents the circumference, (r) represents the radius, and ([tex]\pi[/tex]) represents the irrational numbers (3.1415...)
Substitute in the given values and backsolve for the radius,
[tex]18(\pi)=2(\pi)(r)[/tex]
Inverse operations,
[tex]18(\pi)=2(\pi)(r)[/tex]
[tex]9=r[/tex]
I need help I’ll give brainlist answer.
Answers
Answer:
All beside D
Step-by-step explanation:
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answers
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
Please help me thanks :))
Answers
Answer:
What do you need help with?
The number of apple slices placed in 5 different pies is listed below. 94, 90, 82, 94, 85 What is the difference between the mean and the mode of these numbers?
Answers
Answer:
Mode: 94
Mean: 89
Difference between them: 5
Step-by-step explanation:
A part of the city of New Orleans is 6 feet below sea level. We can use "-6 feet" to describe its
elevation, and "|-6 feet" to describe its vertical distance from sea level. In the context of
elevation, what would each of the following numbers describe?
a.
25 feet
b.
125 feet
I
C.
-8 feet
d.
1-80 feet
The elevation of a city is different from sea level by 10 feet. Name the two elevations that the
Answers
Answer:
[-8]
Step-by-step explanation:
An absolute value of |x| {modulus of x} is the value of a real number x. The option A and C represents elevation, while B and D represents vertical distance from sea level.
What is an Absolute Value?An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.
Given that you can use "-6 feet" to describe its elevation, and "|-6 feet|" to describe its vertical distance from sea level. Therefore, each of the number will describe the following things.
A. 25 feet → 25 feet above sea level
B. |25| feet → 25 feet from sea level
C. -8 feet → 8 feet below sea level
D. |-8| feet → 8 feet from sea level
Hence, The option A and C represents elevation, while B and D represents vertical distance from sea level.
Learn more about Absolute value here:
https://brainly.com/question/1301718
#SPJ2
The volume of a cylinder measures 2,797.74 in. The radius of the cylinder is 9 in. Determine the height.
Answers
Answer:
11 inches
Step-by-step explanation:
V(cylinder) = πr²·h
2797.74 = 81π·h
h = 2797.74 ÷ 81π
h ≈11
If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs?
Answers
Answer:
6558.75
Step-by-step explanation:
total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot
8.25 x 7.95 = 65.5875
65.5875 x 100 = 6558.75
How do I solve this?
Answers
Answer:
25
Step-by-step explanation:
C = √a^2+b^2
√7^2+24^2
√49+576
√625
C=25
Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, find x and AB
X=
AB=
Answers
Answer:
x = 3
AB = 16
Step-by-step explanation:
Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, the AM = MB
AB = 2AM
5x+1 = 2(8)
5x + 1 = 16
x = 16 - 1
5x = 15
x = 15/5
x = 3
Hence the value of x is 3
Since AB = 5x+1
AB = 5(3) + 1
AB = 15 + 1
AB = 16
What is the circumference of a circle with a radius of 34 meters?
(Use 27
as an estimate for a.)
A. 7 meters
O
B. 11 meters
C. 22 meters
D. 44 meters
Answers
Answer:
2 x 3.14 x 3 1/2
(make each a fraction)
2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.
The sound of a jet engine of a skyhawk jetfighter is 70000 times louder than the sound of a lawnmower if the lawnmower has the loudness of 88db then what is the loudness of the jet engine rounded to the 1DP
Answers
Answer: 6,160,000 db
Step-by-step explanation:
The sound of a jet engine is 70,000 times louder than that of a lawn mower.
Since we know the sound of a lawnmower, we can multiply that by 70,000 to find the sound of a jet engine:
= Sound of lawnmower * 70,000
= 88 * 70,000
= 6,160,000 db
A) En cada caja hay 5 caramelos. Si tengo 8 cajas ¿cuántos caramelos tengo? b) Romina tiene 9 pelotas y Lidia 4 veces más que ella. ¿Cuántas pelotas tiene Lidia?
Answers
Answer:
a) 40 caramelos
b) 13 bolas
Step-by-step explanation:
A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?
1 caja = 5 caramelos
8 cajas = x
Multiplicar cruzada
x × 1 caja = 8 cajas × 5 caramelos
x = 8 cajas × 5 caramelos / 1 caja
x = 40 caramelos
b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?
Romina = 9 bolas
Lidia = 4 bolas más que ella
Lidia = 9 bolas + 4 bolas
= 13 bolas
48% as its simplest fraction
Answers
Answer:
12/25
Step-by-step explanation:
Percent means out of 100
48% means 48/100
Divide top and bottom by 4
12/25
48/4=12 and 100/4=25, so 12/25.
A square pyramid with a height of 7 inches has a volume of 47.25 cubic inches. Find the side length of the square base.
The side length is inches.
Answers
Answer:
4.5 inches
Step-by-step explanation:
volume= 1/3 (base area) × height
47.25= 1/3 ( base area) × 7
20.25 = base area
now since the base is a square we can evaluate base area = length²
20.25= length²
length = 4.5 inches
Exercice 6 (3 points). Résoudre le problème suivant :
On partage 9 800 euros entre 3 personnes. La première reçoit 240 euros de moins que la
seconde
et la part du troisième est égale aux trois quarts de la somme des parts des deux autres.
Calculer la part de chaque personne.
Answers
Answer:
P 2.680 S 2.920 T 4.200
Step-by-step explanation:
S = seconde
Premiere = S-240
Troisieme = 3/4( 2S -240)
S + S-240 + 3/4(2S-240) = 9800
Multiplie tout par 4 pour eliminer la fraction
4S + 4S -960 + 6S - 720 = 39200
14 S = 40.880
S = 2.920
P = 2.920-240 = 2.680
T =3/4(5.600) = 4.200
2.920 + 2.680 + 4.200 = 9.800