Answer:
[tex]\frac{y^2x^3*12}{10}[/tex]
Step-by-step explanation:
Simplify: (9x^3+2x^2-5x+4)-(5x^3-7x+4) SHOW YOUR WORK please
Answer:
4x³+2x²+2x
Step-by-step explanation:
9x³-5x³+2x²-5x+7x+4-4
4x³+2x²+2x
The simplified expression for (9x³ + 2x² - 5x + 4)- (5x³ -7x + 4) is
2x( 2x² + x + 1).
We have the Expression,
(9x³ + 2x² - 5x + 4)- (5x³ -7x + 4)
Now, simplifying the expression we get
(9x³ + 2x² - 5x + 4)- (5x³ -7x + 4)
= 9x³- 5x³ +2x² -5x + 7x + 4 - 4
= 4x³ + 2x² + 2x
= 2x( 2x² + x + 1)
Thus, the simplified expression is 2x( 2x² + x + 1).
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Hakeem played a game on the spinner
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Write a completely simplified rational expression that represents the exchange rate Salma will receive in dollars per euro. Explain how you came up with your expression.
The exchange rate that She will receive is an algebraic expression
The exchange rate that Salma will receive in dollars per euro is [tex]\frac{12x - 9}{4x -6}[/tex]
How to determine the exchange rateThe amount of dollars with Salma is given as:
[tex]Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}[/tex]
The amount of Euro she can buy is:
[tex]Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]
Let the exchange rate be r.
So, we have:
[tex]Dollar * \frac 1r = Euro[/tex]
The equation becomes
[tex]\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]
Factorize the expressions
[tex]\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}[/tex]
Cancel out the common factors
[tex]\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}[/tex]
Make r the subject
[tex]\frac 1r = \frac{2(2x -3)}{3(4x - 3)}[/tex]
Expand
[tex]\frac 1r = \frac{4x -6}{12x - 9}[/tex]
Make r the subject
[tex]r = \frac{12x - 9}{4x -6}[/tex]
Hence, the exchange rate is [tex]\frac{12x - 9}{4x -6}[/tex]
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explanation please and thank you hurry please
Answer:
you have to add the circumference of the circle C≈131.95 to the two 100m sides of the rectangle
Step-by-step explanation:
Find the solutions to x2 = 24.
O A. x = 6/4
O B. x = 14 16
O C. *= +62
D. X = +2.16
Answer:
b.× = 14 16
Step-by-step explanation:
#stay safe
hope it helps
This hyperbola is centered at the origin. Find its equation.
Step-by-step explanation:
Use these equations.
Equation of a Hyperbola, centered at orgin
[tex] \frac{ {x}^{2} }{ {a}^{2} } - \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
where a is the major axis
B is the minor axis.
Since a and X are first, the x axis is the major.
This also means the x axis contains the vertices and foci as well.
The equation of vertices when x is major axis is
[tex](x ±a)[/tex]
Since the vertices are (±1,0), and the orgin is (0,0). The length of a is 1.
So a=1.
The equation of foci is
[tex](x±c)[/tex]
Where c is formed by
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
We know that c is 2 since the distance from the foci and center is 2. A is 1, so let find b.
[tex] {2}^{2} = {1}^{2} + {b}^{2} [/tex]
[tex]4 = 1 + {b}^{2} [/tex]
[tex]3 = {b}^{2} [/tex]
[tex] \sqrt{3} = {b}[/tex]
So our equation is
[tex] \frac{ {x}^{2} }{1 {}^{2} } - \frac{ {y}^{2} }{ (\sqrt{3}) {}^{2} } = 1[/tex]
[tex] \frac{ {x}^{2} }{1} - \frac{ {y}^{2} }{3} = 1[/tex]
Find the area of the figure. Use 3.14 for x, and round your answer to the nearest tenth.
Rectangle with a semicircle cut out of one end
4.0 height
8.0 length
A.28.3
B.13.8
C.27.6
D.25.7
Answer:
D. 25.7 sq.ft
Step-by-step explanation:
Area of the Figure = Area of Rectangle - Area of Semi Circle
Area of Rectangle = LW = 8*4 = 32 sq.ft
Area of Semicircle = 0.5*π*r² = 0.5*3.14*2² = 6.28 sq.ft
Area of the Figure = 32-6.28 = 25.72 ≈25.7
SOMEONE PLEASE ANSWER THIS I NEED HELP REALLY BADLY
Answer:
x=-1
Step-by-step explanation:
2x-5=-5x+2
7x=-7
x=-1
BRAINLIEST?
Graph the line whose y-intercept is 9 and whose x-intercept is -2.
Answer:
y = 4.5x + 9, graphing done below.
Solving steps:
( -2 , 0 ), ( 0, 9)
slope:
[tex]\sf \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \frac{9-0}{0+2}[/tex]
[tex]\sf 4.5[/tex]
equation:
y - 9 = 4.5 ( x - 0 )
y = 4.5x + 9
note: point -2 on x axis and 9 on y axis, and keep the ruler on those two points and draw a straight linear line, ta-daa you are done.
You purchase a car for $36,000. Five years later, the car is worth $28,500.
a. By how much is the car decreasing in value per year? (3 points)
Hint: Find the slope
Find the equation that would give the worth of the car for any given year. (4 points)
*y = mx +b
Answer:
36,000-28,500
=7,500 decrease per year
Can somebody help me
Answer:
a) yes
b) yes
c) yes
d) no
e) no
Consider the line y=−4x+2.
Find the equation of the line that is perpendicular to this line and passes through the point , (−3,5).
Find the equation of the line that is parallel to this line and passes through the point , (−3, 5).
equation of perpendicular line:
equation of parallel line:
Answer and step by step esplanation:
The perpendicular line has the slope opposite and inverse, in our case [tex]-4 \rightarrow +\frac14[/tex]
Line passing through the point will have then equation - using the point-slope form [tex]y-y_0=m(x-x_0)[/tex]
[tex]y-5=\frac14 (x-(-5))\\y-5=\frac14(x+5)[/tex]
The parallel line will have the same slope as the given line, in our case -4. Again with the point-slope equation:
[tex]y-5=-4(x-(-5)\\y-5=-4(x+5)[/tex]
Answer:
Perpendicular: y = 1/4x + 5 3/4
Parallel: y = -4x - 7
Step-by-step explanation:
Hello!
A perpendicular line would have a negative reciprocal slope, meaning you flip the sign of the slope, and the numerator and denominator.
Perpendicular LineGiven our equation: y = -4x + 2, we can find the perpendicular slope by finding the negative reciprocal:
-44 -> negative1/4 -> reciprocal (4/1 -> 1/4)So the perpendicular slope is 1/4.
We can now solve for the y-intercept by plugging in the x and y-value of the point into the equation y = 1/4x + b:
y = 1/4x + b; (-3,5)5 = 1/4(-3) + b5 = -3/4 + bb = 5 3/4.The y-intercept is 5 3/4, so the equation of the line would be y = 1/4x + 5 3/4.
_____________________
Parallel LineParallel lines have the same slope. So we can use -4 as our slope, and plug in the points to find the y-intercept.
y = -4x + b; (-3,5)5 = -4(-3) + b5 = 12 + b-7 = bSo the equation of the parallel line would be y = -4x - 7.
1 point A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 13.2°. If a point on the ocean floor is 75 meters directly below the ship, how many meters is it from that point on the ocean floor to the wreck? Round to the nearest tenth.
Check the picture below.
Make sure your calculator is in Degree mode.
The number of meters from that point on the ocean floor to the wreck is 319.83 meters.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Tan 13.2° = 75 / x
x = 75/tan 13.2°
x = 75/0.2345
x = 319.829 meters
x = 319.83 meters
Thus,
The distance from the point to the wreck is 319.83 meters.
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Sam started his homework at 5:20. If his homework took him 1 hour and 35 minutes, is it true that he finished his homework at 6:40?
A
true
B
false
Answer:
False
Step-by-step explanation:
5:20 + 1:35 is 6:55, not 6:40/
Convert: 8 quarts = _____ pints
2 pints
4 pints
16 pints
32 pints
Answer:
C. 16 pints
Step-by-step explanation:
1 quart equals to 2 pints
Answer:
answer is 2 pints
Step-by-step explanation:
2 x 4 is 8
pls help me find the awnser
Answer:
36
Step-by-step explanation:
2(4)^2 + 3(4) - 8
Use PEMDAS
2(16) + 3(4) - 8
32+12-8
=36
you have a credit card that has a balance of $3589.90 if you have a good credit rating how much must you pay at the end of the month to get the balance to acceptable debt ratio percentage?
Answer:
$1107.55
Step-by-step explanation:
3,589.90 x .0590/12 = $17.653,589.90 + 17.65 =3,607.553,607.55 - 2,500 = $1,107.55
**Find all x - coordinates on the curve y = 2x ^ 3 - 3x ^ 2 - 12x + 20 where the tangent line is parallel to the x-axis.
Answer:
openup 1 em We want to find the points on the curve y=2x^3-3x^2-12x+20y where the tangent line is parallel to the xx-axis, which means that the slope=0
help guys plsss i don't know this one ;( plsss i will wait
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
there are 4 cans of soup and 1 of them is tomato
you have a 1 out of 4 chance of picking tomato soup
Below is the graph of a trigonometric function. It has a maximum point at
(1/4pi,-2.2)
and a minimum
point at
(3/4pi,-8.5) what is the amplitude
Step-by-step explanation:
Amplitude is the distance between the center line of the function and the top or bottom of the function.
The amplitude is half the distance between the max and the min, so
Amplitude = 1/2(max - min)
Amplitude = 1/2(-2.2 -(-8.5))
So amplitude = 1/2(6.3)
= 3.15
how many solutions does "-4x" + 10 y = 6 2x - 5y = 8
Answer:
Infinitely many
Step-by-step explanation:
There are many solutions because 0=0.
Consider the line y=5x-4
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
slope of perpendicular line= -⅕
slope of parallel line= 5
Step-by-step explanation:
y= 5x -4
The equation is in the slope-intercept form, thus the slope is the coefficient of x.
Slope of given equation= 5
The product of the slopes of perpendicular lines is -1.
Let the slope of the perpendicular line be m.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Thus, the slope of the perpendicular line is -⅕.
Parallel lines have the same gradient.
Slope of parallel line= 5
What is slope-intercept form?
y= mx +c, where m is the slope and c is the y-interceptIn this form, the coefficient of y is 1, while all the other terms and constant is on the right hand side of the equationMultiply: (x + 3) (x + 7) Simplify and write your answer in Standard Form.
Answer:
[tex](x + 3)(x + 7) \\ (x)(x) + (x)(7) + (3)(x) + (3)(7) \\ = {x}^{2} + 7x + 3x + 21 \\ = {x}^{2} + 10x + 21[/tex]
If f(x) = 5x + 6 and g(x) = x + 5, what is (fºg)(31)?
2^3 + 4m divided by 2 when m = 1.5
PLS HELP ME RN!!!
Answer:
14
Step-by-step explanation:
2^3 is 8. 8+4(1.5) is 8+6 is 14.
Answer:
Answer is 7 after simplifying and solving.Step-by-step explanation:
Equation that we have been provided with :
[tex]\boxed{ \tt {\dfrac{2 {}^{3} \: + \: 4m}{2}\: }} \: \red\bigstar[/tex]And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.
[tex]: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }[/tex]
[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }[/tex]
[tex] : \longmapsto \: \sf{\dfrac{14}{2}\: }[/tex]
[tex]: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}[/tex]
[tex]: \longmapsto \: \red{\bf{7}}[/tex]
Variables y and x have a proportional relationship, where y = 18 when x = 2.
What is the value of x when y = 36?
Enter your answer in the box.
x=
Answer:
x = 4
Step-by-step explanation:
If y = 36, that means the original y = 18 was multiplied by 2. So, we have to multiply x = 2 by 2 as well.
2 * 2 = 4, so x = 4
The quadrilateral shown is a rhombus. What is angle 4?
A; 28
B; 32
C; 58
D; 90
help choose if you do i will give branlest to right answer
EGA and AGB aka the fourth option
Step-by-step explanation:
EGA and AGB create a 180 degree angle together
It takes 56 pounds of seed to completely plant an 8-acre field. How many acres can be planted per pound of seed?
Answer:
About 0.14 acres
Step-by-step explanation:
56 lb = 8 acres
1 lb = x
We can cross multiply:
(8 acres)(1 lb) = (56 lb)(x)
Solving for x:
x = 8 ÷ 56 ≈ 0.14 acres
Q. A room measure 3m 55cm by 2m 25 cm. What is the perimeter of the room?
Ans. Given L=3m,55cm
B=2m,25cm
Perimeter = 2(l+b)
=2 (3m,55cm + 2m, 25cm)
3m 55cm
2m 25cm +
_____________
5m 80cm
______________
2×(5cm,80) 5×2=10 , 80×2=160
So 10m 160cm
but the answer is 11m 60 cm why and how to convert?
Answer:
100cm = 1m
Thus, one more step should be added to your working to arrive at the final answer:
Perimeter
= 10m 160cm
= 11m 60cm
This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.
Alternative working:
Convert all the units to cm first.
[tex]\boxed{1 \: m= 100 \: cm}[/tex]
Length
= 5m 55cm
= 300cm +55cm
= 355cm
Breadth
= 2m 25cm
= 200cm +25cm
= 225cm
Perimeter
= 2(length +breadth)
= 2(355 cm +225 cm)
= 2(580 cm)
= 1160 cm
= 11m 60cm
From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.
However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.