Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
A. 3/4=a/36
B.4/9=b/36
Answer:
A. = 27 B. = 16
Step-by-step explanation:
A. 36/4 = 9 3X9 = 27
B. 36/9 = 4 4X4 =16
Consider the following. x = e4t, y = t + 7
Eliminate the parameter to find a Cartesian equation of the curve.
Answer:
y = 7 +ln(x)/4
Step-by-step explanation:
Maybe your parameterized equation is ...
(x, y) = (e^(4t), t +7)
Using t = y-7, we can substitute for t in the expression for x:
x = e^(4(y -7))
ln(x) = 4(y -7)
ln(x) +28 = 4y
y = 7 +ln(x)/4
if you bought a stock last year for $59 and it risen 13% how much is the stock worth now
Answer:
$ [tex] \underline{ \underline { \sf{ \bold{66.67}}}}[/tex]Step-by-step explanation:
Price of stock bought = $ 59
% rise = 13%
Price of stock rise :
⇒[tex] \sf{13\% \: of \: 59}[/tex]
⇒[tex] \sf{ \frac{13}{100} \times 59}[/tex]
⇒$ [tex] \sf{7.67}[/tex]
New price is 13% more than $ 59
Hence, New price = $ 57 + $ 7.67
= $ 66.67
Hope I helped!
Best regards!!
Evaluate the expression when x= -3 X^2+8x-7
Solve the following:
2x – 7 > 9
a
3> 8
b
x > 1
C
3 < 8
d
x>-1
Answer: x > 8
2x - 7 > 9
2x > 9+7
2x > 16
2x / 2 > 16 / 2
x > 8
please fine me the solution
Answer:
16/3a^22b^2
I used a calculator to solve this
What is the value of 4 in the number 45?
Answer:
40
Step-by-step explanation:
The 4 in 45 is 40 because it is in the tens place, 4 times 10= 40. The 5 is 5 becasue it's in the ones place. :)
It's just place value:
Answer:
The first digit i.e. 4 is called the tens' place. Here, there are 4 tens. The last or right digit i.e. 5 is called the ones' place. Therefore, in the number 45 = 4 tens plus 5 ones = 40 + 5 = 45
logx+log(3x-5)=log2
Answer:
x=2
Step-by-step explanation:
Four different linear functions are represented below.
a) which function has the graph with the greatest slope?
b) which functions have graphs with y intercepts greater than 3?
c)which function has the graph with a y intercept closest to 0
Answer:
A) Function 4
B) Function 2
C) Function 3
Step-by-step explanation:
19. If the polynomial P(x) = 27x^3 + 9x^2 – 3x – 10 is divided by 3x – 2, the remainder will be
options:
A) 1
B) 2
C) 3
D) 0
Answer:
D) 0
Step-by-step explanation:
Remainder is zero as 10 is fully divisible by 2.
Proof:
27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^ 2 +9x+5)Correct choice is D) 0
Draw a square with side-length x. Write an expression that represents the perimeter.
Answer:
4x
Step-by-step explanation:
Length of square = x cm
Perimeter; p = 4 × length of square
p = 4x
Write the equation of a line with a slope of -2 and a y-intercept of 5
Answer:
y = - 2x + 5Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
Slope / m = - 2
y intercept / c = 5
Substitute the values into the general equation above
We have the final answer as
y = - 2x + 5Hope this helps you
if i bought a product for $74.83 and get a 10% refund how much do i get back?
the ratio of Encik Arif's mass to his sons mass is 3:2 . If his son's mass is 42 kg, find Encik Arif's mass.
Answer:
Encik Arif's mass is 63kgStep-by-step explanation:
Let Encik Arif's mass be x
the ratio of Encik Arif's mass to his son's mass is 3:2
That's
[tex] \frac{3}{2} [/tex]The son's mass is 42, so the ratio of Encik Arif's mass to his son's is
x : 42
That's
[tex] \frac{x}{42} [/tex]Now equate the two fractions
That's
[tex] \frac{3}{2} = \frac{x}{42} [/tex]Cross multiply
3(42) = 2x
126 = 2x
Divide both sides by 2
We have the final answer as
x = 63Hope this helps you
Two cities, Ashville and Boulder, are 2.5 inches
apart on a map. A third city, Wellspring, is
located exactly halfway between Ashville
and Boulder. If the map uses a scale of 0.5
inch = 15 miles, find the actual distance from
Wellspring to Boulder.
Answer:
The distance between W and B is 18.75 mi.
Step-by-step explanation:
2.5 inches converts to
2.5 in 15 mi
------------ * ---------- = 37.5 mi
1 1 in
Half of this distances places us at the midpoint between W and B:
37.5 mi
--------------- = 18.75 mi
2
Numbers 2-4 Will choose brainliest
Answer:
2. 9, 8+9
3. 17-8=9, 17, 8, 9
4. 13-7=6
Step-by-step explanation:
Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)Binomial (-x + 3) and trinomial (-2x2 + 5x + 6) are the factors of what polynomial? (Hint: 4 and 2 are factors of 8. Multiply.)
Answer:
2x^3-11x^2+9x+18
Step-by-step explanation:
By multiplying both the binomial and the trinomial given, we obtain a polynomial which contains both as factors. We notice as well that the given trinomial doesn't have 3 as a root (so there is no multiple root x = 3 in the product we obtain:
[tex](-x+3)\,(-2x^2+5x+6)=2\,x^3-5x^2-6x-6x^2+15x+18=2x^3-11x^2+9x+18[/tex]
Then, this new polynomial
[tex]2x^3-11x^2+9x+18[/tex]
has both given polynomials as factors.
What is the vertex for y=|x-3|-2
Answer:
The vertex is [3,0]
Step-by-step explanation:
y=a(x−h)2+k , where ( h,k ) is the vertex of the parabola. By comparing the two equations, we see that h=3 and k=0 . The vertex is at ( 3,0 ).
Answer:
The vertex is [3,0]
Step-by-step explanation:
y=a(x−h)2+k , where ( h,k ) is the vertex of the parabola. By comparing the two equations, we see that h=3 and k=0 . The vertex is at ( 3,0 ).
Tan45degree - 10cos60degree
Answer:
- 4
Step-by-step explanation:
Tan(45°) - 10 * cos (60°) = - 4
I need help with #66 and #68
Step-by-step explanation:
66. Δy = -3.4 Δx
Δy/Δx = -3.4
The slope of the line is -3.4. Slope-intercept equation of the line is:
y = -3.4x + b
Plug in the given point to find b:
2 = -3.4(4) + b
b = 15.6
Therefore, the equation is y = -3.4x + 15.6.
Use the equation to find the y coordinates.
[tex]\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right][/tex]
68. Repeat the same steps as 66.
Δy = -1.7 Δx
Δy/Δx = -1.7
The slope of the line is -1.7. Slope-intercept equation of the line is:
y = -1.7x + b
Plug in the given point to find b:
3 = -1.7(-7) + b
b = -8.9
Therefore, the equation is y = -1.7x − 8.9.
Use the equation to find the x or y coordinates.
[tex]\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right][/tex]
What the answer S4• s8 •s3
Answer:
s^15
Step-by-step explanation:
When multiplying exponents with the same base, add the exponents
Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!
Answer:(f/g)(x)=(1+2x)/(1-3x) where x<>0
Step-by-step explanation:
f(x)= 1/x+2= (1+2x)/x , x<>0
g(x)=1/x-3=(1-3x)/x , x<>0
=>f(x)/g(x)= (1+2x)/(1-3x) , x<>0
Which expression is the simplest form of...
Answer:
The answer is option A
Step-by-step explanation:
[tex]( {x}^{ - \frac{4}{7} } )^{7} [/tex]Using the rules of indices
That's
[tex]( { {a}^{x} })^{y} = {a}^{x \times y} [/tex]Simplify the expression
We have
[tex]( { {x}^{ - \frac{4}{7} } })^{7} = {x}^{ - \frac{4}{7} \times 7 } \\ = {x}^{ - 4} [/tex]Again using the rules of indices
That's
[tex] {x}^{ - y} = \frac{1}{ {x}^{y} } [/tex]The final answer is
[tex] \frac{1}{ {x}^{4} } [/tex]Hope this helps you
Given the diagram below, Hannah writes m 1+ m 4 = 180°, m 2 + m 5 = 180°, and m 3+ m 26 = 180°. Which of the following reasons allows her to write these sums?
Answer:
A. Definition of linear pair
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. Since angle on a straight line = 180°, angles of a linear pair sum up to 180°.
angles 1 and 4, angles 2 and 5, angles 3 and 6 are all linear pairs. Each pair = 180°.
Answer:
a
Step-by-step explanation:
a pex
(3+4i)+(8+2i) complex number in standard form
Answer:
(3 + 4i) + (8 + 2i) = 3 + 4i + 8 + 2i
(3 + 4i) + (8 + 2i) = (3 + 8) + (4i + 2i)
(3 + 4i) + (8 + 2i) = 11 + 6i
hope it helps if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
11 + 6i
Step-by-step explanation:
Well, by the looks of it, you're combining like terms. Just add numbers that have the same variable or jut add coefficients:
(3 + 4i) + (8 + 2i)
= 3 + 4i + 8 + 2i
= (3 + 8) + (4i + 2i)
= 11 + 6i
If y varies inversely with x and y=11 when x=3, find the equation that relates x and y.
Answer:
y = [tex]\frac{33}{x}[/tex]
Step-by-step explanation:
Use the inverse relationship equation, y = [tex]\frac{k}{x}[/tex]
Plug in what we know to solve for k:
11 = [tex]\frac{k}{3}[/tex]
33 = k
Plug 33 in as k to find the equation:
The equation will be y = [tex]\frac{33}{x}[/tex]
when the polynomial f(x)=2x^3+ax^2+b is divisible by (x+1) and that there is a remainder of 16 when it is divided by (x-3) find the values of a and b
Answer:
hjgyjgyjyjhhh
Step-by-step explanation:
ygjyjygyjjg
How many times larger than the number (1 − 8 /15 ) is the number (1.2 + 2/ 3 )?
Answer:
1- 8/15= 7/15 = 0.4(6)
1.2 + 2/3 = 28/15 = 1.8 (6)
You need a total of 60 pounds of two commodities costing $1.35 and $2.85 per pound.
A) Verify that the total cost is y = 1.35x + 2.85(60 - x), where x is the number of pounds of the less expensive commodity.
Let x be the number of pounds of the commodity costing $1.35 per pound. Because there are_____pounds total, the amount of the second commodity is______. The total cost, in dollars, is y = 1.35x + 2.85(60 - x).
B) Find the inverse function of the cost function.
What does each variable represent in the inverse function?
1) X represents the commodity costing $1.35 per pound and Y represents the commodity costing $2.85 per pound.
2) X represents pounds and Y represents cost.
3) X represents the commodity costing $2.85 per pound and Y represents the commodity costing $1.35 per pound.
4) X represents cost and Y represents pounds.
5) X represents the commodity costing $1.35 per pound and Y represents cost.
C) What is the domain of the inverse function?
Validate or explain your answer using the context of the problem.
1. The domain of the inverse function is equal to the range of the original function.
2. The domain of the inverse function is equal to the domain of the original function.
3. The domain of an inverse function is always R.
D) Determine the number of pounds of the less expensive commodity purchased when the total cost is $78.
Answer: provided in the explanation section
Step-by-step explanation:
We will take this problem step by step to ensure we have easy understanding of the problem at hand.
(a). taking x as the number of pounds of the commodity costing $1.35 per pound.
Also since we have 60 pounds as total
The amount of second commodity is 60 - x
then the total cost (in dollars) is
y = 1.35x + 2.85(60 - x)
(b). since we have that;
y = 1.35x + 2.85(60 - x)
solving for y gives
y = 1.35x + 171 - 2.85x
y = 171 - 1.5x
doing exchange of variables y and x we have;
x = 171 - 1.5y
where;
1.5y = 171 - x
y = 171 - x / 1.5
f(x) = y and y = f⁻¹(x)f⁻¹(x) = 2/3 [171 - x] ------------- (1)
Here x represents the cost and y represents the pounds
(c). Given that less commodity is purchased, the Cost will be at its lowest and will be 60 (1.35) = $81.
Also, if only the more expensive commodity is purchased, the Cost will be at its maximum and will be 60(2.85) = $171
Therefore the domain of inverse becomes [81,171]That is to say that the domain of inverse function is equal to the range of original function.
(d). plug in x = $78 in the inverse function
where y = 2/3 [171-78]
y = 2/3[93] = 2[31]
y = 62
The number of pounds of the less expensive commodity purchased when the total cost is $78 is given as
y = 62
cheeers i hope this solution was helpful
Solve -4r + 18= 6 I need this equation
Answer:
r = 3Step-by-step explanation:
[tex]-4r + 18= 6\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\-4r+18-18=6-18\\\\\mathrm{Simplify}\\\\-4r=-12\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\\\frac{-4r}{-4}=\frac{-12}{-4}\\\\\mathrm{Simplify}\\\\r=3[/tex]