ANSWER
[tex]\frac{5 - x}{x + 2}[/tex]
EXPLANATION
We want to simplify the rational expression:
[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )[/tex]
We split the middle term to obtain:
[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )[/tex]
We now factor to obtain;
[tex]( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )[/tex]
[tex]( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )[/tex]
Or
[tex]( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )[/tex]
We cancel the common factors to get;
[tex]\frac{ - (x - 5)}{x + 2}[/tex]
[tex] = \frac{5 - x}{x + 2}[/tex]
What is the Cost of $700 tablet computer that is on sale at 15% off of the local sales tax rate is 4%?
Answer:
$618.80
Step-by-step explanation:
If the tablet is on sale for 15% off, you pay 85% of the original price.
85% of $700 is
700(0.85) = $595
You pay 4% sales tax on $595, which is
$595(0.04) = $23.80
The total cost you pay is $595 + $23.80 = $618.80
What is the scale factor of the dilation?
1/3
2/3
3/2 3/1
The scale factor is 1/3
The correct answer is 1/3
:))
The scale factor of the given dilation is 1/3
What is scale factor ?
To change the size of a figure without changing the figure's shape, we use a exact number or factor which is called scale factor.
Dilated figure = Original figure × Scale factor
What is the required scale factor ?
In the diagram,
Co-ordinate of the point V in original triangle is (3, - 6)
Co-ordinate of the point V' in dilated triangle is (1, -2)
We know that, if we multiply scale factor to the original co-ordinate then we get dilated co-ordinate.
Here, if we multiply 1/3 to the original co-ordinate V(3, - 6) then we get the dilated co-ordinate V' (3/3, -6/3) , i.e. V'(1, -2)
So, the scale factor is 1/3.
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La altura de un trapecio isósceles es de 4 cm, la suma de las medidas de las bases es de 14 cm y los lados oblicuos miden 5 cm. Averigua las medidas de las bases del trapecio.
Por favor, necesito ayuda.
write an equation that can be used to find the total commission, C, Harlan will earn for the cost, s, of the shoes that he sold..
Answer:
See below. An example is C = 0.2s.
Step-by-step explanation:
You can write an expression to represent any situation. Harlan makes a commission which is usually a percentage of the price. For example, if Harlan earns 20% on each purchase then when he sells a $100 he earns $20 of commission. For any price or cost on shoes s, this would be 0.2s. His commission C = 0.2s.
I don't know how to do this, help please.
Answer:
1000 units wide, 300 units is the height
Step-by-step explan
you do 500-(-500) for the wideness, 1000 and for height, 0-(-300) is 300
For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and diameter of the circle? c) graph.
Answer:
a) center (2, -3)b) radius r = 3c) in the attachmentStep-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have:
[tex](x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2[/tex]
a) center (2, -3)
b) radius r = 3
c) in the attachment
The answers are:
a) The point (2, -3).b) The radius is 3 units, and the diameter is 6 units.c) The graph can be seen below.What is the equation of a circle?
The equation of a circle centered in the point (a, b) of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Then for the equation:
(x-2)^2+(y+3)^2 = 9 = 3^2
We can see that:
a) The center is the point (2, -3)
b) The radius is R = 3, and the diameter is twice the radius, so it is equal to 6.
c) The graph can be seen below:
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I need this one done too! Really need help, big brain fart.
6x2+1<
6x2<-1
=×2<=-1/6 B is the answer
Answer:
6x2+1<
6x2<-1
=×2<=-1/6
Step-by-step explanation:
B is the answer
A water dispenser has a capacity of 20,000 milliliters. What is its capacity in liters?
Be sure to include the correct unit in your answer.
Answer:
20
Step-by-step explanation:
So to get 20 all you had todo was multiply 20,000 by 0.001, because milliliters converted into liters is 1 milliliter= 0.001 liters.
Answer:
20 Liters
Step-by-step explanation:
One way to look at it is that there are 1000 mL in one L. But I think a better way in general for unti conversions is to do it like this.
20000 ml * [tex]\frac{1L}{1000 mL}[/tex] Where you can just cancel out the units. Hopefully it made sense. If you were converting from L to ml you would use [tex]\frac{1000 mL}{1 L}[/tex]
Write and Y varies directly as x. y 20 when x graph the direct variation function.
Answer:
y = 5x
Step-by-step explanation:
20 = 5(4)
20 = 20
Since they directly vary, this is a linear equation, and the slope is 5.
y = mx + b
y = 5x + b
20 = 20 + b
b = 0
So the equation is
y = 5x
Luana wants to buy a pedometer. The pedometer originally sold for $64.50. It is now on sale for off. Luana also uses a coupon to get an additional 40% off the discounted price. What is the final price of the pedometer?
$28.38
$34.83
$58.05
$42.57
Answer:
The final price is $34.83
Step-by-step explanation:
we know that
1) The original price is $64.50
2) Is now on sale for 1/10 off
so
the new price is
$64.50(1-0.10)=$58.05
3) Get an additional 40%
$58.05(1-0.40)=$34.83
What is 6Σ n=1 [4(-5)^n-1] equal to?
Answer:
-10416.
Step-by-step explanation:
This is a Geometric Series with first term 4 and common ratio -5.
Sum of 6 terms = a1 . (r^6 - 1 )/ ( r - 1)
= 4 *( (-5)^6 - 1) / (-5-1)
= -10416 (answer).
Answer:
-10416
Step-by-step explanation:
please answer quick!
A phone booth is 3 ft. by 4 ft. by 7 ft. What is the amount of space inside the phone booth?
Answer:
84
Step-by-step explanation:
3 times 4= 12
12 times 7= 84
Which term gives the horizontal length of one cycle of a periodic function
Answer:
Period, but I have to add more characters so it'll let me post this answer.
Period gives the horizontal length of one cycle of a periodic function as 2π.
Given that,
To determine which term gives the horizontal length of one cycle of a periodic function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the periodic function 1 period is consist of 2π on the horizontal axis, so, the period represents the horizontal length of the periodic function.
Thus, Period gives the horizontal length of one cycle of a periodic function as 2π.
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Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is____. The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is ____. Humans shed approximately ____ times more particles of skin in five hours than in five minutes.
Answer:
for 5 hours: b is 6
for 5 minutes: b is 4
60 times more skin in 5 hours than 5 minutes
Step-by-step explanation:
I think it should be written as a x 10^b, so I'm going to answer it that way.
3 x 10^6 = 5 times 10^6
10^6 = 1,000,000, so we have 3 x 1,000,000 = 3,000, 000
5 x 10^4 = 5 times 10^4
10^4 = 10,000, so we have 5 x 10,000 = 50, 000
For part 3, divide 3 million by 50 thousand to find the scalar multiple
3,000,000/50,000 = 300/5 = 60
Answer:
The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is 6.
The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is 4.
Humans shed approximately 60 times more particles of skin in five hours than in five minutes.
Step-by-step explanation:
In scientific notation, a number can be written in the form, a × 10b, where a is a number that must be greater than or equal to 1, but less than 10, and b is any integer.
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
Next, write the approximate number of particles of skin a human can shed in five minutes in scientific notation. This number is fifty thousand which can be written in the form a × 10b, where a is 5 and b is 4.
Then, divide the approximate number of particles a human can shed in five hours by the approximate number of particles a human can shed in five minutes to find out how many times more skin is shed in five hours than in 5 minutes.
Therefore, humans shed approximately 60 times more particles of skin in five hours than in five minutes.
Have a good day.A computer is programmed to accept a number, add 4 to it, and then multiply the sum by 5. Ifx represents the number first fed into the machine, and the result of the first run is then fed back into the computer, what will the result of the second run be?
Answer:
=[{(x+4)*5} + 4] * 5
Step-by-step explanation:
If x is input
Adding 4
=x+4
then multiplying by 5
=(x+4)*5
Giving the result of first run in second will give
=[{(x+4)*5} + 4] * 5
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length? A. 12 inches B. 15 inches C. 21 inches D. 40 inches
Answer: 15 Inches
Step-by-step explanation:Remember that the Perimeter of a rectangle is the distance around it.
So,
Perimeter = Length + Width + Length + Width
or
P = 2L + 2W
If P=42 inches and W = 6 inches,
42 = 2L + 2(6)
42 = 2L + 12
30 = 2L [subtract 12 from both sides]
15 = L [divide both sides by 2]
The length (L) is 15 inches.
The length (L) is 15 inches. so the correct option is B.
What is perimeter?Its the sum of length of the sides used to made the given figure.
It is given that the Perimeter of a rectangle is the distance around it.
Given that the perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches then we need to find the length.
So,
The Perimeter = Length + Width + Length + Width
Let the length of the rectangle = l
the width of the rectangle = w
or P = 2L + 2W
If P=42 inches and W = 6 inches,
42 = 2L + 2(6)
42 = 2L + 12
30 = 2L
L = 15
Hence, The length (L) is 15 inches.
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It takes 20 minutes for 5 people to paint 5 walls how many minutes does it take 9 people to paint 9 walls
5×4 is 20. So I figure 9×4 is 36. 36 minutea
Answer: 20 minutes
Step-by-step explanation:
Imagine that each person is assigned one wall, and all 5 people begin painting at the same time.
Since everyone will finish painting their assigned wall after 20 minutes, it takes one person 20 minutes to paint one wall.
If we have 9 people and 9 walls, we can again assign one wall to each person.
Everyone will take 20 minutes to paint their assigned wall.
In other words, it takes 20 minutes for 9 people to paint 9 walls.
ise is shown in this scale drawing. The height of the horse in the drawing is 4.5 inches
The scale that maps the drawing to the actual horse is 1 inch to 1.5 feet.
Scale Drawing of a Horse
4.5 in
Using the scale given, enter the actual height of the horse, in feet.
6.75 feet is the actual height of the horse
What is the actual distance between Saugerties and Kingston? scale: 1 inch=2.5 miles 4 in
Answer:
The distance between Saugerties and Kingston is 10 miles.
Step-by-step explanation:
4*2.5 = 10.
Write the quadratic equation whose coefficient with x2 equal to 1 and roots are:
1/2√3 and 2√3
Answer:
[tex]x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]
Step-by-step explanation:
we know that
The quadratic equation is equal to
[tex](1)(x-\frac{\sqrt{3}}{2})(x-2\sqrt{3})\\ \\=x^{2} -2\sqrt{3}x-\frac{\sqrt{3}}{2}x+3\\ \\=x^{2}-\frac{5\sqrt{3}}{2}x+3[/tex]
I ASK SO MUCH OF YOUR HELP, PLEASE. Let x + y = 11 and x^2 + y^2 = 325. What is the value of x^3 + y^3? PLEASE EXPLAIN, TOO.
Answer:
x³+y³=4697
Step-by-step explanation:
x+y=11
y=11-x
325=x²+y²
=x²+(11-x)(11-x)
=x²+121-11x-11x+x²
325=2x²-22x+121
0=2x²-22x-204
=(2x+12)(x-17)
0=2x+12 or 0=x-17
-12=2x 17=x
-6=x
y=11-x
y=17 or -6
(-6,17) or (17,-6)
=x³+y³
=(-6)³+(17)³
=4697
Which vertex in EFGH corresponds with the vertex B in ABCD?
HELP PLZ!!
Answer:
F
Step-by-step explanation:
Each vertex of ABCD corresponds to the vertex of EFGH in the same position.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex A corresponds to vertex E.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex B corresponds to vertex F.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex C corresponds to vertex G.
Parallelogram ABCD is similar to parallelogram EFGH.
Vertex D corresponds to vertex H.
Will mark brainliest.
3x+2.4 >_ 3.0
Answer X >_0.2
Answer:
x < -1.8
Step-by-step explanation:
First, subtract 2.4 from each side, you will get 3x > -5.4
Second, divide by 3 on both sides, this will make the > turn into <.
Finally you will end up with x < -1.8.
Mark brainliest plz!
Answer:
The answer to 3x+2.4 > 3.0 is x > 0.2
Step-by-step explanation:
Evaluate the equation. -8x = -90
Answer:
[tex]\large\boxed{x=\dfrac{45}{4}=11\dfrac{1}{4}}[/tex]
Step-by-step explanation:
[tex]-8x=-90\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{-90}{-8}\\\\x=\dfrac{90}{8}\\\\x=\dfrac{90:2}{8:2}\\\\x=\dfrac{45}{4}\to x=11\dfrac{1}{4}[/tex]
Plz help !! Needed to graduate
Please help me need before Monday
Answer:
D 13
Step-by-step explanation:
(b^4)^4 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^c^d = a^ (c*d)
b^(4*4) b^5 * b^x
-------------- = ----------------
b^2 b^4
b^16 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^ c * a^d = a^ (c+d)
b^16 b^(5+x)
-------------- = ----------------
b^2 b^4
We know that a^c / a^d = a^ (c-d)
b^(16-2) = b^(5+x-4)
b^14 = b^(1+x)
Since the base is the same, the exponent must be the same
14=1+x
Subtract 1 from each side
14-1 = 1+x-1
13 =x
Solve the problem. six times Tim’s age is 54. His sisters age times three is also 54. How old are Tim an his sister Amy?
Tim is 9 years old, and Amy is 18 years old. We found this by dividing 54 by 6 and 3 respectively, based on the given equations 6T = 54 and 3A = 54.
Explanation:To solve the problem involving Tim and his sister Amy's ages, we need to set up equations based on the information given. The problem states that six times Tim's age is 54 and that three times Amy's age is also 54.
Let's let T represent Tim's age and A represent Amy's age. We can set up the following two equations based on the problem:
6T = 543A = 54To find Tim's age, we divide both sides of the first equation by 6:
T = 54 / 6
T = 9
So, Tim is 9 years old.
To find Amy's age, we divide both sides of the second equation by 3:
A = 54 / 3
A = 18
So, Amy is 18 years old.
which point is a solution to the inequality shown in this graph
Answer:
(1, 5)
Step-by-step explanation:
You need a point in the shaded region that is not on the line of the graph.
The points can't be on the line because the line is a dotted line, which means there is either a < or > sign in the inequality, so the solutions are strictly less than or greater than the values on the line.
Points A and B are on line so they aren't solutions.
Point (5, -5) is below the line, so that isn't a solution for this equation either
Point (1, 5) is in the shaded region, so it's a solution
Coterminal angle help
Answer: 320
Step-by-step explanation:
Coterminal means it is in the same place on the Unit Circle but with one or more rotations clockwise or counterclockwise.
Note: one rotation is 360°
-760 + 360 = -400
-400 + 360 = -40
-40 + 360 = 320
320 is between 0 and 360 so this is the angle we are looking for!
Find the exact circumference of a circle with the given radius. miles C = ¼x miles x miles 2x miles
The correct option is B.
The exact circumference of a circle with radius X/2 miles is Xπ miles.
To find the circumference of a circle, we use the formula: Circumference (C) = 2πr, where r is the radius of the circle. Given that the radius is X/2 miles, we substitute this value into the formula:
C = 2π × (X/2)
= Xπ miles
Therefore, the exact circumference of the circle with radius X/2 miles is Xπ miles.
The correct answer is B) xπ miles.
In summary, to find the circumference, we simply multiply the radius (X/2) by 2π, which gives us Xπ miles. This answer aligns with option B) xπ miles.
The complete question is here:
Find the exact circumference of a circle with the given radius.
X/2 miles
C = _____
A) ¼xπ miles
B) xπ miles
C) 2xπ miles