Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass m
that moves in an acceleration a is equal to m . a
An object whose mass in 80 grams has an acceleration of 20 meters per seconds square.
What calculation will give us the sum of the forces that act on the object, in Newtons (which are
kg.m/s2)?
Choose 1 answer.
A 80 . 20
B 80 . 1000 . 20
C 80/1000 . 20
D 80/602. 20
Answer: 80/1000 • 20
Answer:
Screenshots attached! Hope it helps :)
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
There are four points on a line: A, B, C and D, so that AB=1, BC=2, CD=4. Find the length of segment AD .Consider all possibilities and draw a picture for each one of them.
Answer:
The answer is 7
Length of all the the three segments is equal to the length of the line segment AD
How do I determine if -3x+y =8 is a function?
You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.
what are the four different ways to solve a quadratic equation? When would you prefer to use each method?
Answer:
4
Step-by-step explanation:
factoring , using square roots , completing the square and the quadratic formular
Answer:
See below.
Step-by-step explanation:
The four main ways to solve a quadratic equation are:
1) Factoring, 2) Completing the Square, 3) Graphing, and 4) Quadratic Formula.
Each method has it's own pros and cons.
1) Factoring. You should factor when the given equation is easily factor-able or already factored. For instance:
[tex]0=x^2-4x-12\\0=(x+7)(x-1)[/tex]
These problems are easily factored so factoring is preferred here. However, factoring will not always work.
2) Completing the Square. You complete the square if you are able to complete the perfect square trinomial with only integers. For instance:
[tex]x^2-2x-7=0\\(x^2-2x+1)-7-1=0\\(x-2)^2-8=0[/tex]
However, you wound't use completing the square if:
[tex]x^2-3x+2=0\\(x^2-3x+9/4)+2-9/4=0[/tex]
The perfect square trinomial includes fractions so you would use alternative methods here (and factoring works here!).
Despite the complexity of completing the square, if done correctly, it works every time. However, sometimes, it can be time-consuming.
3) Graphing. Graphing (if on paper) is time-consuming. You would only use graphing when you only need an approximation. Unless directed to, you probably won't need to use graphing.
However, if you have a graphing calculator, graphing the equation can allow you to check your answer. So, graphing won't get you precise answer, but it will allow you to check your answer is necessary.
4) Quadratic Formula. Use the quadratic formula if the equation isn't factor-able and completing the square is too tedious. For instance:
[tex]4.1x^2-3x-7=0\\[/tex]
This doesn't seem factor-able and completing the square will take a while. Graphing won't get the exact answer, so the quadratic formula is the only avenue left.
The quadratic method, like completing the square, will always work.
Only con is that you need to memorize the formula.
Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.
Answer:
[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)
Step-by-step explanation:
i did the math
1. What is the ratio of the sides? 2. Using Complete sentences, explain how you could verify that these two triangles are indeed similar.
Answer:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Step-by-step explanation:
1) 10/15=2/3
2) You would have to make certain that they have the same three interior angles.
Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.
Use addition to solve the linear system of equations. 2x + y = 5 3x + 2y = 4 (6,7) (-6,-7) (6,-7) (-7,6)
Answer:
Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:
Step-by-step explanation:
The Solution for the linear equation is ( 6, -7)
What is Linear Equation?First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.
Given:
2x + y = 5.......................(1)
and, 3x + 2y = 4....................(2)
Multiply the equation (1) by 2 we get
4x + 2y = 10 ....................(3)
Solving Equation (2) and (3), we get
3x + 2y = 4
4x + 2y = 10
- - -
_____________
-x = -6
x= 6
and, y= 5- 2x = 5-2(6) = -7
Hence, the solution is (6, -7)
Learn more about linear equation here:
https://brainly.com/question/11897796
#SPJ2
Tom bought 20 boxes of flowers. Each box cost him £6. Each box contains 15 flowers. 3/5 He sells of the total number of flowers for 70p each. He then sells the remaining at 50p each. Work out the total profit Tom makes.
330
20 * 6 equals 120 that is the cost price
and 3/5 of the 15 flowers is 9 which was sold for 7
and the remaining that is 15 - 9 that's 6 sold for 50 each
now times it by 70 * 9 equals 630 50 * 6 equals 300 so 630 - 300 equals to 330 that is the profit
I hope this helps
Answer:
66
Step-by-step explanation:
The money he spent:
20 x 6 = 120
=> The number of flowers he bought:
=> 15 x 20 = 300
3/5 of 300 = 900/5 = 180
So, he sold 180 flowers for 70cents.
=> 180 x 70 = 12600 cents
=> 126 dollars
The remaining for 50 cents
=> 2/5 x 300 = 600 / 5 = 120
So, he sold 120 flowers for 50 cents
=> 120 x 50 = 6000 cents
=> 60 dollars
He got a total of 60 + 126 = 186 dollars.
He spent 120 dollars in the starting to buy the flowers.
=> 186 - 120
=> 66 dollars
So, he gets a profit of 66 dollars.
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 665 milliliters of the drug, how many milliliters of compound B are needed?
375 milliliters of compound B
The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?
0 3C = n
Use the data in the table to give an equation to represent the proportional relation
ship.
X Y
0.5 7
1. 14
1.5 21
2 28
y = 14x
y = 7x
7y = x
21y = x
Answer:
[tex]\huge \boxed{y=14x}}[/tex]
Step-by-step explanation:
x=0.5, y=7
x=1, y=14
x=1.5, y=21
x= 2, y=28
Let’s take the first equation.
y = 14x
y = 14(0.5) = 7
When x is 0.5, y is 7.
y = 14(1) = 14
When x is 1, y is 14.
y = 14(1.5) = 21
When x is 1.5, y is 21.
y = 14(2) = 28
When x is 2, y is 28.
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
Raj and Carlos are reading. Carlos reads a chapter in 444 minutes, which is 333 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?
Answer:
777 minutes
Step-by-step explanation:
Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj
444+ 333 = 777
4. EF is the median of trapezoid ABCD.
B
X +12
с
E
4x-18
F
3x-4
A
Part I: Solve for x. Show your work. (4 points)
Answer:
x = 11
BC = 23
AD = 29
EF = 26
Step-by-step explanation:
Given:
Trapezoid ABCD, having,
median = EF = 4x - 18
base BC = x + 12
base AD = 3x - 4
Required:
Part I: value of x
Part II: Length of BC, AD, and EF.
Solution:
Part I: Value of X
The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.
Therefore, EF = ½(BC + AD)
4x - 18 = ½((x + 12) + (3x - 4)
4x - 18 = ½(x + 12 + 3x - 4)
4x - 18 = ½(x + 3x +12 - 4)
4x - 18 = ½(4x + 8)
Multiply 2 by both sides
2(4x - 18) = 4x + 8
8x - 36 = 4x + 8
Add 36 to both sides
8x - 36 + 36 = 4x + 8 + 36
8x = 4x + 44
Subtract 4x from both sides
8x - 4x = 4x + 44 - 4x
4x = 44
Divide both sides by 4
x = 11
Part II:
BC = x + 12 = 11 + 12 = 23
AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29
EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26
Find the value of a. A. 52 B. 26 C. 104 D. 93.5
Answer:
Option (A)
Step-by-step explanation:
To find the value of 'a' we will use the tangent-chord theorem,
"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"
Angle 'a' is formed between the chord and the tangent.
Measure of the intercepted arc = (2 × 52)°
Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]
a = 52°
Therefore, Option (A) will be the correct option.
Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28
The right question is:
[tex]\frac{1}{2}x - 3y = 9[/tex]
[tex]5x + y = 28[/tex]
Answer:
[tex]x = 6[/tex]
[tex]y = -2[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}x - 3y = 9[/tex]
[tex]5x + y = 28[/tex]
Required
Solve for x and y
Make y the subject of formula in the second equation
[tex]y = 28 - 5x[/tex]
Substitute [tex]y = 28 - 5x[/tex] in the first equation
[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]
Open the bracket
[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]
[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]
Collect Like Terms
[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]
[tex]\frac{x}{2} + 15x = 9+ 84[/tex]
[tex]\frac{x+30x}{2} = 93[/tex]
[tex]\frac{31x}{2} = 93[/tex]
Multiply both sides by 2
[tex]2 * \frac{31x}{2} = 93 * 2[/tex]
[tex]31x = 186[/tex]
Divide both sides by 31
[tex]\frac{31x}{31} = \frac{186}{31}[/tex]
[tex]x = \frac{186}{31}[/tex]
[tex]x = 6[/tex]
Recall that [tex]y = 28 - 5x[/tex]
So;
[tex]y = 28 - 5 * 6[/tex]
[tex]y = 28 - 30[/tex]
[tex]y = -2[/tex]
Hence;
[tex]x = 6[/tex] and [tex]y = -2[/tex]
What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?
Answer:
We are talking about Complex numbers.
Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have
[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]
A complex number is a number of the form [tex]a+bi[/tex]
as [tex]i^2=-1[/tex]
3. The ratio of boys to girls in the 9th grade is 7 to 8. There are 304 girls. How many boys are there?
266 boys
243 boys
303 boys
347 boys
Find the surface area and volume of the following figures.
White figure Area = 128[tex]\pi[/tex]
White surface area = appro. 301
Yellow area = 320[tex]\pi[/tex]
Yellow Surface area = approx. 653
Area found with = 2πrh+2πr2
Surface Area found with = 2πrh+2πr2
You need to memorize them for tests
Hope that helped!!! k
Question 9 of 10
Which of the following are exterior angles? Check all that apply.
O A. 24
O B. _3
O c. 7
O D. 25
O E. 2.
O F. 26
Answer:
[tex]\boxed{\sf A, \ B \ and \ E}[/tex]
Step-by-step explanation:
[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]
Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter
Answer:
15 cm
Step-by-step explanation:
The area of an equilateral triangle is:
[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.
We can find the value of a (the length) by:
[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]
[tex]a^2 = 25[/tex]
a = 5, so the side length of this triangle is 5 cm.
The perimeter of an equilateral triangle will be 3 times the length.
[tex]3\cdot5=15[/tex]
Hope this helped!
$12,800 at 12% for 3 years find the total amount ?
Answer:
so first you do
12800*.12 which is 1536
so $1536 for 1 year
for 3 years multiply it by 3
1536*3=
$4608
so 4608+12800 =
17408 is totall
Mark brainliest
Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
A-Slider for Shape A
B-Slider for Shape B
Answer:
the answer would be shape b
Answer:
B
Step-by-step explanation:
write the formula used to find length when the breadth height and volume are known........breadth when the length height and volume are known............ height when the breadth length and volume are known ..............Please answer this as fast as possible my homework is due tommorow
Answer: L = V/bh
b= V/Lh and h= V/Lb
Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is
Volume = Length × breadth × height
The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.
When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.
attachment help asap ill mark brainliest
Answer:
1 is not even and it is a factor of 8
Answer:
1
Step-by-step explanation:
Factors of 8
1,2,4,8
1 is an odd number
This proves that Alice is wrong :(
Hope this helps....
Have a GOOD DAY !!!
Pls mark my ans as brainliest If u mark my ans as brainliest u will get 3 extra pointsCan you solve this???
BAE + HEG = 180°
124 + 2x+6 = 180°
2x+6 = 56
x = 50/2
x = 25°
Reason:
Given
HEG = EAD since they are corresponding angles
EAD + EAB = 180° since they are supplementary angles.
xx
What is the area of the regular hexagon shown below?
Answer:
Area = 2127.1 cm^2 (to the tenth)
Step-by-step explanation:
We may be missing the length of a side at the top of the picture.
However, we are given "a", so the sides of a regular hexagon can be calculated.
The side of a regular hexagon given "a" is
s = 2a/sqrt(3) = 28.61
Perimeter of hexagon
= 6s
Area of hexagon
= a*perimeter/2
= a*6s/2
= 3as
= 3a*2a/sqrt(3)
=2sqrt(3)a^2
= 2*sqrt(3)*24.78^2
= 2127.1 cm^2 (to the tenth)
