Answer:
y = -108/5
Step-by-step explanation:
An inverse variation is xy = k where k is a constant
xy =k
6*-18 = k
-108 = k
xy = -108
Let x = 5
5y = -108
Divide by 5
y = -108/5
______
#LetsStudy
someone please help me
9514 1404 393
Answer:
f(x) +g(x) = 4x^2 +3
f(x) -g(x) = 4x^2 -6x +1
f(x)·g(x) = 12x^3 -5x^2 +3x +2
Step-by-step explanation:
Substitute for f(x) and g(x) and simplify.
(a) f(x) +g(x) = (4x^2 -3x +2) +(3x +1)
f(x) +g(x) = 4x^2 +3
__
(b) f(x) -g(x) = (4x^2 -3x +2) -(3x +1)
f(x) -g(x) = 4x^2 -6x +1
__
(c) f(x)·g(x) = (4x^2 -3x +2)(3x +1)
= (4x^2 -3x +2)(3x) +(4x^2 -3x +2)(1) . . . use the distributive property
= 12x^3 -9x^2 +6x +4x^2 -3x +2
f(x)·g(x) = 12x^3 -5x^2 +3x +2
Answer:
a.) f( x ) + g( x ) = 4 x² + 3
b.) f( x ) - g ( x ) = 4x² -6x + 3
c.)f ( x ) . g ( x ) = 12x³ - 5x² + 3x + 2
Step-by-step explanation:
Given :- f ( x) = 4x² - 3x + 2 and g(x)= 3x +1
Substitute the values of f(x) and g(x) and simplify all .
a.) f( x ) + g( x )
( 4x² - 3x + 2 ) + ( 3x + 1 )
4 x² - 3x + 2 + 3 x + 1
collect like terms
4x² - 3 x + 3 x + 2 + 1
4 x² + 3
b.) f ( x ) - g ( x )
( 4x² - 3x + 2 ) - ( 3x + 1 )
4x² - 3x + 2 - 3x - 1
collect like terms
4x² - 3 x - 3x + 2 - 1
4x² -6x + 1
c.) f ( x ) . g ( x )
( 4x² - 3x + 2 ) × ( 3x + 1 )
Use the Distributive property
3 x(4x² - 3x + 2 ) × 1 ( 4x² - 3x + 2 )
Remove the parantheses multiply
12x³ - 9x² + 6x + 4x² - 3x + 2
Collect like terms
12 x³- 9x ² + 4x² + 6x - 3x + 2
12x³ - 5x² + 3x + 2
Using the properties of equality to solve the equation -3x - 9 = -21, you would
add 9 and then divide by -3
add 9 and then multiply by -3
subtract 9 and then divide by -3
subtract 9 and then multiply by -3 ?
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
3) Given that lines a and b are parallel, and lines o and t are parallel, find the point
value of x.
S
c
o
7x+50
5x + 11
t
Ox3
O x = 13.6
O x = 26
Answer:
X = 3°
Step-by-step explanation:
Since O and T are parallel you can use alternating lines
7x + 5° = 5x + 11° (alt. angles, O||T)
Move the 5x and the 5°
7x - 5x = 11° - 5°
2x = 6°
Divide both sides by 2
x = 3°
This is assuming 11 is an angle
Please help me with this im pretty confused
Answer:
11
Step-by-step explanation:
sqrt(121)
What number times itself gives 121
11*11 = 121
-11 * -11 = 121
Answer:
the square root of 121 is 11
which is the second option
A book store offers a sale on a new book. The sale is "buy two of the books and get the third book free." Tommy pays $26 for three of the books. What is the average amount of money that Tommy saved on each of his three books due to the sale? Round to the nearest cent.
Answer:
Salvo en cada library 4.33
Find the area of the figure below.
A. 288.62
B. 266.22
C. 186.66
D. 236.6
Answer:
A
Step-by-step explanation:
hope this helps
First one: 54 < -9c solve for c
Second one: 49> -7a solve for a
QUESTION 6 · 1 POINT
It takes George 16 minutes to sew one pillowcase. If he sews 6 pillowcases, how many minutes will
he have spent sewing? Do not include any units in your answer.
Answer: The answer is 96 minutes (or 1 hr 36 minutes)
Step-by-step explanation:
Since it takes George 16 minutes to sew one pillowcase, it would take him 96 minutes/1 hr 36 minutes to sew 6 pillowcases (16x6 or 16+16+16+16+16+16/6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6)
A person incurs 5% loss by selling a laptop for $1140.At what price should the laptop be sold at to earn 5% profit
Answer:
$1256.85
Step-by-step explanation:
1140 (1.05) = $1197 cost
$1197* 1.05 = 5% profit
4^3 x4^5
A.16^8
B.16x15
C.4^15
D.4^8
the answer is in the picture
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
What is the area of the circle?
Answer:
Step-by-step explanation
radius=diameter/2
=16/2
=8 ft
area of circle=πr^2
=π*8^2
=π64 ft^2
Answer:
The area of the circle is 64π^2
Explanation:
the diameter is 16, so you divided it by 2 to get the radius, which is 8. The equation that is used to solve for area of circle is A = πr^2. So the equation that I used was A = π8^2.
Which set best represents the positive integers?
O A. {1, 2, 3, 4, ...)
OB. {0, 1, 2, 3, 4, ...)
O C. {..., -4, -3, -2, -1}
D. {..., -3, -2,-1, 0, 1, 2, 3, ...)-
Answer:
A
Step-by-step explanation:
The positive integers are numbers that start at 1 and go on towards the right: are natural numbers 1,2,3,4,5,6,7,...
For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?
Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
What is the value of z?
A.35 B.25 C.70 D.140
Answer:A
Step-by-step explanation:
Answer:
D is the correct answer or that question
the difference of place values of the digit 3 in 53,230
Ashima has a Cumulative or Recurring Deposit Account in a bank for 5 years at 9% p.A. At the time of maturity, she gets 51,607.50. Find the monthly instalment.
Answer:
Monthly deposit= $684.23
Step-by-step explanation:
Giving the following information:
Number of periods= 5*12= 60 months
Interest rate= (0.09/12)= 0.0075
Future value= $51,607.5
To calculate the monthly deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (51,607.5*0.0075) / [(1.0075^60) - 1]
A= $684.23
Find the value of cos
I rounded to the nearest hundredth, if necessary.
Answer:
cos I= 3/5
Step-by-step explanation:
Differentiate with respect to t
Assume x = x(t)
Assume y = y(t)
Assume z = z(t)
x^2 - y^3 + z^4 = 1
Answer:
[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]
Step-by-step explanation:
We want to differentiate the equation:
[tex]x^2-y^3+z^4=1[/tex]
With respect to t, where x, y, and z are functions of t.
So:
[tex]\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right][/tex]
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
[tex]\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0[/tex]
May someone solve and give explanation
Answer:
x = 15.7945
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 33°
Opposite Leg = x
Hypotenuse = 29
Step 2: Find Angle
Substitute in variables [sine]: sin33° = x/29[Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = xRewrite: x = 29sin33°Evaluate: x = 15.7945Use the distributive property and combine like terms to write an equivalent expression: 5(3x + 2) - 8(x +1)
Answer:
7x + 8
Step-by-step explanation:
15x + 10 - 8x + 8
combine like terms
7x + 8
The function g(x) is defined by the equation g(x) = -3x² + x - 1.
Which is the value of g(1)?
Answer:
-3
Step-by-step explanation:
g(1) = -3x² + x - 1
= -3([tex]1^{2}[/tex]) + 1 -1
= -3(1) + 1 - 1
= -3 +1 -1
g(1) = -3
Just put the 1 everywhere you see an x.
Solve
Determine whether each expression represents the statement divide the sum 15 and 6 by the difference of 10 and 3.
Answer:
[tex]\frac{15+6}{10-3}[/tex]
Step-by-step explanation:
Sum of 15 and 6 = 15 + 6
Difference of 10 and 3 = 10 - 3
So, the expression is
[tex]\frac {15 + 6}{10-3}[/tex]
This is the required expression.
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
12
C
D
X
B
20
A. 20
B. 12.1
C. 7.2
D. 8
Answer:
[tex]\text{C. }7.2[/tex]
Step-by-step explanation:
In the figure, all three triangles are similar. By definition, the corresponding sides of similar polygons must be in a constant proportion. Therefore, we can set up the following proportion to solve for [tex]x[/tex] by dividing corresponding sides:
[tex]\frac{x}{12}=\frac{12}{20},\\20x=144,\\x=\frac{144}{20}=\boxed{\text{C. }7.2}[/tex]
Answer:
x = 7.2
Step-by-step explanation:
Look I did the math, okay?
Find the area of the circle with a circumference of
30
π
. Use 3.14 for
π
. Round to the nearest hundredth.
Area in in decimal form: ______
Options:
Answer:
706.50 mm^2
Step-by-step explanation:
The formula to find the circumference is 2πr (r : radius)
if the circumference is 30π the the radius is = 15
to find the area we use the following formula :
π*r^2
r = 15 and π is given as 3.14
(3.14)*15^2 = 706.50 mm^2
The diagram shows a sector OAPB of a circle, centre O.
AB is a chord of the circle.
OA = OB = 5.4 cm.
Angle AOB = 72°
Calculate the area of the shaded segment APB.
Give your answer correct to 3 significant figures.
Answer:
4.44 cm²
Step-by-step explanation:
If the diagram attached below is required to complete the question,
Applying,
Area of the shaded segment(A) = Area of the sector- area of the triangle
A = (πr²∅/360)-(r²sin∅/)2................ Equation 1
Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie
From the question,
Given: r = 5.4 cm, ∅ = 72°
Constant: π = 3.14
Substitute these values into equation 1
A = (3.14×5.4²×72/360)-(5.4²/2×sin72)
A = 18.31-13.87
A = 4.44 cm²
Ill mark you brainlist plz help if you put something random I will report you! I
Answer:
4
Because the second number (y) is 4 on the grid. It rises to 4.
The temperature inside the freezer is −10°C and the temperature of the room is 32°C. How much higher is the temperature of the room than the temperature inside the freezer?
Answer:
42°C
Step-by-step explanation:
32-(-10) =
32 + 10 = 42
Minus a negative makes a positive
plzz add an explanation for it too
Answer:
A $0.02
Step-by-step explanation:
Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.