please factor and find the zeros of each relation (18 marks)
C. y = 30x^2 + 44x +16
D. y = 10x^2 + 60x + 80
Answer:
[tex]C. \ \frac{-2}{3} , \ \frac{-4}{5}\\\\D. \ -2, \ -4[/tex]
Step-by-step explanation:
C.
[tex]30x^2 + 44x +16 = 0\\\\2(15x^2 + 22 + 8) = 0\\\\2(15x^2 + 12x + 10x + 8) = 0\\\\2(3x(5x + 4)+2(5x + 4))=0\\\\2((3x + 2)(5x + 4)) = 0\\\\Zeroes : 3x + 2 = 0 => x = \frac{-2}{3}\\[/tex]
[tex]5x+ 4 = 0 => x = \frac{-4}{5}[/tex]
D.
[tex]10x^2 + 60x +80 = 0\\\\10(x^2 + 6x + 8)= 0\\\\10(x^2 + 4x + 2x + 8)=0\\\\10(x(x+4)+2(x+4))=0\\\\10((x+2)(x+4))=0\\\\Zeroes : x + 2 = 0 =>x = -2[/tex]
[tex]x + 4 = 0 => x= -4[/tex]
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
how do i factor this problem?
Two stores carry a similar stereo for the same original price and $573. Store A offers a 25% discount and the Store B sells the stereo for $446.94. Which store gives the bigger percent discount
Answer:
Razz
May 30, 2O21
100 - 16 = 84
.84*573 = 481.32
which is more than 458.40
The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?
Answer:
15
Step-by-step explanation:
The length of BC=20cm I think
a cylindrical pipe made of metal 3 m long is 3 cm if the internal radius of the pipe is 10 cm what is the volume of metal used in making the pipe
Answer:
857.766cm^3
Step-by-step explanation:
Given data
Lenght = 3m
Internal radius r = 3m
External radius R= 10m
Volume of pipe= πr^2h
Volume of metal= External - Internal
Volume= πR^2h-πr^2h
Volume= πh(R^2-r^2)
Volume= 3.142*3(10^2-3^2)
Volume= 3.142*3(100-9)
Volume= 9.426*(91)
Volume= 857.766cm^3
Hence the volume of the metal is 857.766cm^3
HELP ME ASAP PLS !!!
Answer:
64 degree
Step-by-step explanation:
The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.
Here Angle BAC = 90 degree (as the angle between the tangent and normal)
Angle BAC = 26 degree,
The sum of all the angles in a triangle is 180 degree,
So,
angle BAC + angle ABC + angle ACB = 180 degree
26 degree + angle ABC + 90 degree = 180 degree
angle ABC = 64 degree
The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?
Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.
Define combinations?
In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.
To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.
Multiplying the number of choices at each step, we get:
2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.
Therefore, there are 3 possible dinner combinations for Leila.
To learn more about subset from the given link :
https://brainly.com/question/23454979
#SPJ1
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
please help!!! due soon :)))) (look at my other questions too)
I ligit dont understad
Plz help asap!!
And explanation will get brainlyst
Find the equasion for the following parabola
Vertex (4,3)
Directrix x (6)
4
3
6
Answer:
(y - 3 )² = 8 ( x - 4 )
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
The equation of parabola is
( y - k )² = - 4 ( P) ( x - h )
Now p = 4 - x = 4 - 6 = - 2
And given value of ( k , h) = ( 4 , 3)
Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )
Or, ( y - 3 )² = 8 ( x - 4 )
Hence The equation of parabola with directrix x = 6 And
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 ) Answer
The answer is (y - 3 )² = 8 ( x - 4 ).
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
What is the equation of a parabola?The equation of a parabola is :
⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]
Now p = 4 - x = 4 - 6 = - 2,
And given value of ( k , h) = ( 4 , 3)
Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]
Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]
Hence, The equation of a parabola with directrix x = 6 and
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 )
Learn more about the equation of a parabola here: brainly.com/question/4061870
#SPJ2
Can I get a good explanation on SAS Triangle Congruence? (35 points)
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.
For example - In the attached picture,
KL = XY∠KLM = ∠XYZLM = YZTherefore, ΔKLM ≅ ΔXYZ
(By SAS criteria)
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
I need help thank you!
(7x + 14)
(15x - 4)
Answer:
(7x + 14)° = 84°
(15x - 4)° = 146°
Step-by-step explanation:
62° + (7x + 14)° = (15x - 4)°
62° +7x + 14 = 15x - 4
15x - 7x = 62 + 14 + 4
8x = 80
x = 10
Therefore, exterior angle (15x - 4)° = 146°
interior angle (7x + 14)° = 84°
3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
Answer:
I think it's 4
Step-by-step explanation:
Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d
Which function describes the sequence 4, 12, 36, 108, ... for n = 1, 2, 3, 4...?
a) f(n) = 2" + 1
b) f(n) = 3n
c f(n) = (n − 1)2 + 3
d) f(n) = 4.3"-1
Answer:
d) f(n) = 4 . 3^(n-1)
______________
The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 birdhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?
Answer:
24
Step-by-step explanation:
if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27
Answer:
24 birdhouses
Step-by-step explanation:
This is a proportional relationship. y = kx, where k is the constant of proportionality. We can determine k as follows:
4 birdhouses = k(1 1/2 hours), which leads to:
4 birdhouses
------------------------- = 8/3 birdhouses/hr
3/2 hours
In 9 hours, Ben can make (8/3)(9) birdhouses: 24 birdhouses
China consumes 4 x 10^9 tons of coal, while japan about 2 x 10^8 tons of coal. Approximately how many times the amount of that japan consumed did china consumed
Answer:
20 times
Step-by-step explanation:
This is calculated as:
The number of coal China consumes ÷ The number of coal Japan consumes
The number of coal China consumes =4 × 10⁹
The number of coal Japan consumes
= 2 × 10⁸
4 × 10⁹/2 × 10⁸
= 20 times
if r = 9 in., what are the volumes for the cone, cylinder, and sphere?
I NEED HELP WITH THIS IT'S DUE TOMORROW!!
Step-by-step explanation:
the volume of :
cone = ⅓π.r².r= ⅓π.r³
cylinder = π.r²r= π.r³
Sphere = 4/3 π.r³
for r = 9 in =>
the volume of:
14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³
15. cylinder = π.9³ = 729π in³
16. Sphere = 4/3 π.9³ = 972π in³
17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =
1 : 3 : 4
I WILL GIVE BRAINLIEST IF ANSWER CORRECT
Solve the following inequality: 3 < x/2 + 1 *
Answer: x>9
Step-by-step explanation:
3 < x/2+1
switch sides: x/2+1 > 3
Multiply sides by 3: 3x/2+1 > 3*3
Simplify: x>9
Which set of shapes could be used to form a net for a square pyramid?
1 square and 4 triangles
2 squares and 4 triangles
1 square and 4 rectangles
2 squares and 4 rectangles
Answer:
1 square and 4 triangles
Step-by-step explanation:
Answer:
The answer is (A) or 1 square and 4 triangles .
Step-by-step explanation:
Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .
What is the solution to the equation below?
Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
============= ========
(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
help meeee please thuis is due at 2
Answer:
the answer is 20
Step-by-step explanation:
because if you add all of it you get 20
Write a direct proportion equation
that shows the price (y) for any
number of posters (x) that are $2.50
each.
A. y = kx
B. 2.50x = y
C. $2.50 = yx
D. 2.50y = x
Find the exact value of sin 2pi/3
Answer:
2 x 3.14 = 6.28
6.28 divided by 3 = 2.093 around 2.1
4d multiply 7d exponent is 4
1. Find the slope of the line that goes through the points (2, 5) and (6, 7)
Answer:
[tex]\displaystyle m = \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (2, 5)
Point (6, 7)
Step 2: Find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{7-5}{6-2}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{4}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]What is the slope of the line on the graph below?
Options:
A.-1/2
B.1/2
C.1
D.2
Answer:
2
Step-by-step explanation:
Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32
The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.
Answer:
6 cm
Step-by-step explanation:
Given :
base is 9cm, Height is 4cm, and Length is 12cm.
Volume of triangular prism :
V = 1/2 * base * height * length
V = 1/2 * 9 * 4 * 12
V = 9 * 2 * 12
V = 216 cm³
Volume of a cube = a³
Where , a = side length
If 216cm³ is melted to form a cube
Then ;
a = 216^1/3
a = 6 cm