Answers
Answer:
Step-by-step explanation:
g(x) = 3f(-2x)
= 3*([-2x)² + (-2x) - 2)
= 3 (4x² - 2x - 2)
= 3 * (4x² - 4x +2x - 2) {Rewrite the middle term}
= 3 *[ 4x(x - 1) + 2(x - 1)]
= 3* [ (x -1) *(4x + 2)]
= 3(x - 1)(4x + 2)
x - 1 = 0 ; 4x + 2 = 0
x = 1 ; 4x = -2
x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]
Roots: x = 1 , (-1/2)
Related Questions
Your skateboard ramp is 2 3/8 feet high. Your friend's skateboard is 2 2/5 feet high. which skateboard is higher?
Answers
Answer:
2-3/8 = 2.375
2-2/5 = 2.4
2.4 - 2.375 = 0.025
Your friend's skateboard ramp is 0.025 foot higher
than your skateboard ramp is.
That's about 1.1% higher . . . 0.3 inch, or about 7.62 milometers.
The second on a watch is 14mm long. What area does it sweep through in 30 seconds
Answers
Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
======================================================
Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answers
Answer:4.2 cups
Step-by-step explanation:
Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest
Answer:
4.2 cups
Step-by-step explanation:
I am in the assiment and i just got it right on the assiment
PLEASE ANSWER QUICKLY ASAP
Answers
Answer:
67°
Step-by-step explanation:
● cos<PQR = adjacent/hypotenus
● cos<PQR = 5/13
● cos< PQR = 0.384
Using a calculator:
● cos^-1(0.384) = 67°
● <PQR = 67°
Which statement describes the graph of x = 4
Answers
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
Consider the equation x2+4x+9=0 in standard form. Which equation shows the coefficients a, b, and c correctly substituted into the quadratic formula? Please show all steps to get to the answer, please!!
Answers
Answer:
x = -2+i√5 and -2i-√5Step-by-step explanation:
The general form of a quadratic equation is ax²+bx+c = 0
Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;
ax² = x²
a = 1
bx = 4x
b = 4
c = 9
The quadratic formula is given as x = -b±√(b²-4ac)/2a
Substituting the constant;
x = -4±√(4²-4(1)(9))/2(1)
x = -4 ±√(16-36)/2
x = -4±√-20/2
x = -4±(√-1*√20)/2
Note that √-1 = i
x = -4±(i√4*5)/2
x = (-4±i2√5)/2
x = -4/2±i2√5/2
x = -2±i√5
The solution to the quadratic equation are -2+i√5 and -2i-√5
Which number line represents the solution to the inequality 125x + 200 > 1,200?
9
A Att
-10
-8 -6
-4
--2
0
2
4
6
8
10
B
-10
-8
-6
-4
-2
0
2
4
+ ++
6 8 10
с
AHHH
-10 -8 -6
-4
-2
o
2
4
6
8
10
D
-10
-8
-6
-4
-2 0
2
4
6
8
10
Answers
Answer:
see below
Step-by-step explanation:
25x + 200 > 1,200
Subtract 200 from each side
25x + 200-200 > 1,200-200
25x> 1000
Divide by 25
25x/25 >1000/25
x>40
Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?
Answers
Answer:
48 different ways
Step-by-step explanation:
To solve this question, we use the Fundamental Counting Principle technique.
Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.
If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z
For the above question, we have 3 events
Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)
Event 2: 3 subjects ( Math, Reading, And Science)
Event 3 : 4 tutors.
Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:
= 4 × 3 × 4
= 48 different ways
find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen
*sorry its chemistry*
Answers
Answer:
Empirical formula= COOH
Step-by-step explanation:
Molecular mass of the elements
Carbon= 12
Oxygen= 16
Hydrogen= 1
We divide the elements each with their molecular formula
Carbon= 2.4/12
Carbon= 0.2
Oxygen= 6.4/16
Oxygen= 0.4
Hydrogen= 0.2/1
Hydrogen= 0.2
Now we divide with the smallest result which is 0.2
Carbon= 0.2/0.2
Carbon = 1
Oxygen= 0.4/0.2
Oxygen= 2
Hydrogen= 0.2/0.2
Hydrogen= 1
So we have
Carbon 1, oxygen 2, hydrogen 1
Empirical formula= COOH
plz help asap i only have limited time i will give brainliest
Answers
Answer:
The answer is none.
Step-by-step explanation:
BecauseSide of the square is greater than breadth of rectangle. Answer: How can this be possible? Side of any square cannot be more than breadth of rectangle unless and until the square is bigger than the rectangle.Side of the square can be greater than length of triangle: Answer: Not at all possible. How can the length of a square be greater than the length of a rectangle? then the square would no longer have the same sides. And as i said before, squares cant be long unless and until they are bigger than the rectangle.Hope this helps....
Have a nice day!!!!
those are not the powers question from transformation of product and sum trigonometry
prove that : cos3A+cos5A+cos7A+cos15A= 4cos4Acos5Acos6A
Answers
Answer:
see explanation
Step-by-step explanation:
Using the sum to product identity
cosx + cosy = 2cos([tex]\frac{x+y}{2}[/tex] )cos( [tex]\frac{x-y}{2}[/tex] )
Consider left side
(cos5A +cos3A) + (cos15A + cos7A)
= 2cos([tex]\frac{5A+3A}{2}[/tex] )cos([tex]\frac{5A-3A}{2}[/tex] ) + 2cos( [tex]\frac{15A+7A}{2}[/tex]) cos( [tex]\frac{15A-7A}{2}[/tex] )
= 2cos([tex]\frac{8A}{2}[/tex]) cos([tex]\frac{2A}{2}[/tex]) + 2cos([tex]\frac{22A}{2}[/tex] )cos([tex]\frac{8A}{2}[/tex] )
= 2cos4AcosA + 2cos11A cos4A ← factor out 2cos4A from both terms
= 2cos4A( cos11A + cosA) ← repeat the process
= 2cos4A( 2cos([tex]\frac{11A+A}{2}[/tex] )cos([tex]\frac{11A-A}{2}[/tex] )
= 2cos4A(2cos([tex]\frac{12A}{2}[/tex])cos([tex]\frac{10A}{2}[/tex] )
= 2cos4A(2cos6A cos5A)
= 4cos4Acos5Acos6A
= right side , thus verified
3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B
Answers
Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]
If the question is to solve for B: B= 15x+1-3xA+A
Step-by-step explanation:
A: Move terms to the left.
B: Simplify both sides.
Answer:
a=8x^2+3x+1-b/3x-1 -x^2; xdoes not equal 1/3
Step-by-step explanation:
hope this helps
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answers
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
Answers
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Is this correct??? Will give Brainlyist
Answers
...................................................
Answers
Answer:
11.21157846 =x
Step-by-step explanation:
We know log b (a) = c can be written as b^c =a
log 3 (x) = 2.2
3^2.2 = x
11.21157846 =x
Answer:
[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]
Step-by-step explanation:
[tex]\large \sf log_3 (x)=2.2[/tex]
Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:
[tex]\large \sf log_b(y)=x[/tex]
[tex]\large{\sf y=b^x}[/tex]
Apply the relationship.
[tex]\large \sf log_3 (x)=2.2[/tex]
[tex]\large \sf x=3^{2.2}[/tex]
[tex]\large \sf x=11.21157845...[/tex]
[tex]\large \sf x \approx 11.21[/tex]
Which models show 60%? Check all that apply.
Answers
Answer:
OPTION A AND B.
AS OPTION A IS 3/5=6/10=60%
Option C=60/100=60%
Answer:
the first and the last option
Step-by-step explanation:
In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%
3/5 = 0.6
0.6 = 60%
*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*
in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%
5/10 = 1/2 = 0.5 = 50%
in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%
6/10 = 0.6 = 60%
hope this helps! if you have any questions, let me know!
Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?
pls explain, thanks!!!!
Answers
C.P. = $95000
S.P. = $280000
a. Profit
= S.P. - C.P.
= $280000 - $95000
= $185000
b. Let the profit% of C.P. be x.
(x/100) × $95000 = $185000
=> x/100 = $185000/$95000
=> x/100 = 37/19
=> x = (37/19) × 100
=> x = 3700/19
=> x = 194 14/19
So, profit percent of buying price is 194 14/19%.
c. Let the profit% of S.P. be x.
(x/100) × $280000 = $185000
=> x/100 = $185000/$280000
=> x/100 = 37/56
=> x = (37/56) × 100
=> x = 3700/56
=> x = 925/14
=> x = 16 1/14
So, profit percent of selling price is 16 1/14%.
d. Buying price percentage profit sounds better as far as Ella is concerned.
Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)
Answers
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )
Pls answer this urgently
Answers
Answer:
The pic there has a step by step explanation
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
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If this helped you, could you maybe give brainliest..?
❀*May*❀
An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population increases by 10%, how many ants will be in the colony 5 days later? *
Answers
Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.
Acrobat Ant
Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.
Answer:
81
Step-by-step explanation:
Start: 50
After 1 day: 50 * 1.1
After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2
After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3
...
After 5 days: 50 * 1.1^5 = 80.53
Answer: 81
Two families go to a shake shack. The Johnsons order four fires and six cheeseburgers for $52. The Liauttads order three fries and two cheeseburgers and pay $24. How much is a cheeseburger?
Show work please! :)
Answers
4 fries + 6 cheeseburgers = $52
3 fries + 2 cheeseburgers = $24
9 fries + 6 cheeseburgers = $24×3
= $72
$72-$52=$20
5 fries = $20
1 fries = $20÷5
= $4
1 cheeseburger = [$24 - (3×$4)]÷2
= $6
A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle?
Answers
Answer:
Perimeter = 32 meters
Step-by-step explanation:
1 meter = 1m = 100 cm = 100 centimeters
400cm = 400/100 = 4 meters
Rectangle Perimeter = 2(legth + width)
= 2(12 + 4)
= 2*16
= 32 meters
Your mom asks you to transfer the rice in the pantry from the plastic sack it comes in to a rectangular storage container. The first container is 4 inches wide, 4 inches deep, and 12 inches high. The second container is 5 inches wide, 5 inches deep, and 8 inches high. Calculate the volume of both containers. Which container will hold more rice?
Answers
Answer:76
Step-by-step explanation:
something amazing
Hello if anyone is able to answer this please do I am not sure how to figure out the answer to this?????
Question-80% as a fraction
Answers
Answer:
[tex]\frac{80}{100}[/tex]
Step-by-step explanation:
All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
Answers
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Find the gradient, picture below
Answers
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
which answer is right?
Answers
Answer:
i think A
Step-by-step explanation:
i believe
Help please with my geometry
Answers
Because RS + ST=RT
So basically x+3x=5x-4
4x=5x-4
-4x -4x
-1x=-4
x=4
how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wa The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
Answers
Answer:
y = 5x
Step-by-step explanation:
The revenue (y) is 5 dollars for each car washed. The number of cars washed is x, so the revenue equation is ...
y = 5x
_____
Additional comment
At the end of the exercise of writing revenue and cost and profit equations, you will find that the break-even number of cars is the ratio of fixed cost (start-up cost in this case) to the profit contribution of each car (per-car charge in this case). That is, it will take 75/5 = 15 cars to break even. Each additional car will contribute a positive profit.
Answer:
Equation INCLUDING the setup cost: y = 5x - 75
Equation EXCLUDING the setup cost: y = 5x
Step-by-step explanation:
It spent a total of $75 to set up the car wash.
It is charging $5 per car.
y = amount collected in $
x = number of cars washed
=> We can make an equation INCLUDING the setup cost and EXCLUDING the setup cost.
=> INCLUDING the setup cost.
=> y = 5x - 75
=> I subtracted 75 from 5x because they spent a total of $75 to set up the car wash.
=> I wrote 5x because they get $5 for each car so if they wash 10 cars they get 5 * 10 = $50.
An EXAMPLE from the above equation:
y = 5x -75
=> y = 5*14 - 75
=> y = 70 - 75
=> y = -5
=> This means that if they wash 14 cars, they still have a debt of 5 dollars.
An equation EXCLUDING the setup cost will look like:
=> y = 5x
I wrote this because, they didn't spend any money so they will get 5 dollars per car. How many cars they wash, the answer will be 'number of cars x 5'.
An EXAMPLE from the above equation is:
=> y = 5x
=> y = 5 * 14
=> y = $70
=> This means that if they wash 14 cars, they get $70.