Answer:
3
Step-by-step explanation:
+2
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
learn more about expression here
brainly.com/question/34132400
#SPJ2
The right prism shown has a surface area of 414 in.² what is the value of X in inches
Answer:
4 in
Step-by-step explanation:
area right : Ar = 5x
area left : Al = 11x
area top : At = 5x
area bottom : Ab = 13x
area front : Afr = rectangle 13×11 minus area triangle
triangle (right-angled) : (11-5)×(13-5)/2 = 24 in²
Afr = 13×11 - 24 = 119 in²
area back = area front = 119 in²
sloped area : As = 10x
all individual shapes in the surface of the object are rectangles except the 2 areas in the front and in the back, where we had to calculate the complete rectangle and then subtract the cut off triangle area.
so, in total we have
414 = 5x+11x+5x+13x+119+119+10x = 44x + 238
176 = 44x
x = 4 in
Find the missing segment in the image below
June has a bakery. Her rent is $750 a month. Over a month, she sells 50 cakes, 120 cupcakes and 250 dozen cookies. This costs her
$2.000. Her sales total $2,600. What is her total cost?
$1,500
$150
$2,600
$2,000
$2,750
Answer:
$2,750
Step-by-step explanation:
Total spending = Rent + Cost
= $750 + $2000
= $2750
Help please!!!!! I don't really get this, help asap.
Answer:
7 boxes
Step-by-step explanation:
We can use ratios to solve
12 bars 42 bars
---------- = ---------------
2 boxes x boxes
Using cross products
12x = 2 *42
12x = 84
Divide by 12
12x/12 = 84/12
x = 7
what is the value of 3 3/8+1/2 ÷ 4/5 × 2
Answer:
ans: 37/ 32
Step-by-step explanation:
(33/8 + 1/2 ) / ( 4/5 ×2)
= { ( 33 + 4) / 8} / ( 8 / 2)
= 37/ (4×8)
= 37 / 32
The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this information to find f (x).
[CLO-3] f '(x) = 9 x 2 + 4 x - 4; (0, -7)
Answer:
Step-by-step explanation:
Integrating each term with respect to x, we get:
x^3 x^2
f(x) = 9--------- + 4------- - 4x + C
3 2
We are told that if x = 0, f(x) = -7, and so C must equal - 7.
The solution is
x^3 x^2
f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7
3 2
Potential customers arrive at a full-service, one-pump gas station at a Poisson rate of20 cars per hour. However, customers will only enter the station for gas if there are no more than two cars (including the one currently being attended to) at the pump. Suppose that the amount of time required to service a car is exponentially distributed with a mean of five minutes.
Required:
a. What fraction of the attendant’s time will be spent servicing cars?
b. What fraction of potential customers are lost?
Answer:
a) 19/20
b) 1/20
Step-by-step explanation:
a) calculate the fraction of the attendants time will be spent servicing cars
l / L > 0 = Ц / [ Ц - λ ] = 20 --- ( 1 )
Ц (service ) = 15 hour
∴ λ ( arrival rate ) = 14.25
P = λ / Ц = 14.25 / 15 = 0.95 = 19/20
b) Fraction of potential customers lost
Ls = P / ( 1 - P )
where ; P = 19/20
Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 ) = 19
hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20
rrect answer.
Which of the following represents a function?
OA
{(-1,-11), (0,-7), (1,-3), (-1,5), (2,0)}
OB.
4
-1
6
0
У
4
.
X
-4
1
-2
In a math class, 9 pupils receive a grade of 90. If 18% of the class got 90, how many pupils are there in a class?
Answer:
Let the total number of pupil be x.
Given that,
Number of pupils that received a grade of 90=9
Percentage of pupil that receive a grade of 90=18%
So,
18% of x=9
18x/100=9
x=50
Hence, there are 50 pupils in the class.
heyyy I need this done in 30 min please someone helppp
Answer:
1979
91%
Step-by-step explanation:
Given the relation :
P = (318t + 6792) / (1.19t + 107.36)
P = % of household with PC
t = years since 2000
1.) We need to find t, when P = 85%
P = 0.85
0.85 = (318t + 6792) / (1.19t + 107.36)
0.85(1.19t + 107.36) = (318t + 6792)
1.0115t + 91.256 = 318t + 6792
Collect like terms :
1.0115t - 318t = 6792 - 91.256
−316.9885t = 6700.744
t = 6700.744 / - 316.9885
t = - 21.138760
t = - 21 years
2000 - 21 years = 1979
Percentage who had computer in 2014
t = 2014 - 2000 = 14
P = (318(14) + 6792) / (1.19(14)+ 107.36)
P = (4452 + 6792) / (16.66 + 107.36)
P = 11244 / 124.02
P = 90.6627
P = approximately 91%
In June, Joey sold 70% of her products in market fairs, and she
sold the rest of her products via her website. She sold 12 products
less in market fairs than on her website.
What was the total number of products that Joey sold?
Step-by-step explanation:
I hope this explains everything.
you can ask for further explanation
What is the classification for this polynomial?
10
Click on the correct answer.
monomial
binomial
trinomial
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Answer:
The time it will take is 13 hours
Step-by-step explanation:
From the given statement, we can generate the following inverse proportion relationship between t and s
t ∝ 1/s
[tex]t = \frac{k}{s} \\\\where;\\\\k \ is \ constant\\\\k = t_1s_1 = t_2s_2 \\\\t_2 = \frac{t_1s_1}{s_2} \\\\t_2 = \frac{12 \times 52}{48} \\\\t_2 = 13 \ hours[/tex]
The time it will take is 13 hours
Will Mark Brainlest. (find the domain of following relation for the given range) step by step
Step-by-step explanation:
I suppose you mean find the range for the following domain. Because when
g(x) is given the value of X
we are trying to solve the output value which is range.
If you want to solve for the domain, the question should give
g(x) = y
and provide the value of y.
X³+X²-X-2
Substitute
X=(-1)
-1+1-(-1)-2
= -1
g(-1)= -1
Substitute
X=(2)
8+4-2-2
=8
g(2)= 8
Substitute
X=(1)
1+1-1-2
=-1
g(1)= -1
g(2)+g(1)
=8-1
=7
Elysia has 2 apples she gives 1 to her friend so how many does she have?
Answer:
One Apple.
Step-by-step explanation:
This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1
One apple.
Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, Elysia has 2 apples she gives 1 to her friend,
To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,
Number of apples Elysia left with = 2-1 = 1
Hence, Elysia will have one apple.
Learn more about subtraction, click;
https://brainly.com/question/2346316
#SPJ2
Graph the line with y-intercept-2 and slope -3/5 .
Answer:
MATH
Dior H. asked • 01/13/21
graph the line with the slope 1/2 and y-intercept -2
i need help badly i am crying because its hard
Follow 1
Add comment
More
1 Expert Answer
By:
Raymond B. answered • 01/14/21
TUTOR 5 (1)
Math, microeconomics or criminal justice
ABOUT THIS TUTOR ›
y=mx + b is the standard slope intercept form for a line
m=1/2, b =-2
y=(1/2)x -2. y-intercept is -2 or the point (0,-2)
x intercept is found by setting y=0 and solving for x
0=(1/2)x - 2
(1/2)x = 2
x = 4 = the x intercept or (4,0)
plot the 2 intercepts (0,-2) and (4,0)
(4,0) is on the x axis, 4 units to the right of the origin (0,0)
(0,-2) is on the y axis, 2 units below the origin
once you plot those two points, draw a straight line connecting them. That's the graph of the line
Experience shows that few students hand in their statistics exams early; most prefer to hand them in near the end of the test period. This means the time taken by students to write exams is positively skewed.
a. True
b. False
Answer:
False
Step-by-step explanation: 6 28 13 50
skewing to the right of a sysmetrical distribution is a negative skew
Please help me with math problems!
20 points for all questions plz
Answer:
Step-by-step explanation:
[tex]Circumference = 2 \pi r[/tex]
1) r = 11 feet
Circumference = 69.1 ft
2) r = 7yd
Circumference = 43.98 = 44 yd
3) r = 6.3 m
Circumference = 39.6
4) r = 11.8 ft
Circumference = 74. 1 ft
5) r = 2 km
Circumference = 12.6 km
6) r = 9 mi
Circumference = 56.6 mi
7) r = 6 ft
Circumference = 37. 7ft
8) r = 8. 4 ft
Circumference = 52.8 ft
[tex]Circumference = 2 \pi r = \pi \times 2r = \pi \times d \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ diameter, d = 2r \ ][/tex]
11) d = 4m
Circumference = 12.6 m
12) d = 22 mi
Circumference = 69.1 mi
13) d = 5m
Circumference = 15.7 m
14) d = 8yd
Circumference = 25.1 yd
15) d = 16.8 m
Circumference = 52.8 m
16) d = 6cm
Circumference = 18.9 cm
17) d = 14 in
Circumference = 43.98 = 44 in
18) d = 16km
Circumference = 50. 3 km
Answer:
1) 69.1
2) 44
3) 39.6
4) 74.1
5) 12.6
6) 56.5
7) 37.7
8) 52.8
11) 12.6
12) 69.1
13) 15.7
14) 25.1
15) 52.8
16) 18.8
17) 44
18) 50.3
This was a lot but I'm pretty sure all are right
Which of the following represents the graph of f(x) = 4X – 2?
Answer:
The bottom one.
Step-by-step explanation:
Farmer Jane would like to show a net profit of $1,000 per month. She is growing tomatoes and sells them for $3 per pound. Her variable costs per pound are $1, and she has $700 in fixed cost. How many pounds does she need to sell?
Answer:
850
Step-by-step explanation:
Each pound of tomatoes costs one dollar to produce, and sells for three dollars. That's a net profit of 2 dollars per pound of tomatoes.
We need a profit of 1000 dollars, and to pay the 700 dollars in operating costs, for a total of 1700 dollars needed.
So 1700 dollars divided by 2 dollars per pound of tomatoes comes out to 850 pounds of tomatoes.
TIME REMAINING
54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55
Answer:
[tex]y = 0.42x+55[/tex]
Step-by-step explanation:
Given
Let:
[tex]x \to miles[/tex]
[tex]y \to amount[/tex]
[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'
[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl
Required
The equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]
[tex]m = \frac{29.82}{71}[/tex]
[tex]m = 0.42[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.42(x - 138) + 112.96[/tex]
[tex]y = 0.42x - 57.96 + 112.96[/tex]
[tex]y = 0.42x+55[/tex]
please help with this question
Answer:
The answer to your question is given below.
Step-by-step explanation:
From the question given above, the following data were obtained:
x + 2 ≥ 2
x + 4 ≤ 3
The solutions to the equation can be obtained as follow:
x + 2 ≥ 2
Collect like terms
x ≥ 2 – 2
x ≥ 0
0 ≤ x
x + 4 ≤ 3
Collect like terms
x ≤ 3 – 4
x ≤ –1
Combining both answers, we have
0 ≤ x ≤ –1
Expressing the solution in internal notation, we have:
0 ≤ x ≤ –1
[0, –1]
On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.
Answer:
im doing the same one, i believe it is D
Step-by-step explanation:
Answer:
a- yes because corresponding sides are parallel and have lengths in the ration 4/3
Step-by-step explanation:
just did the test
I do not know this and I need help fast this is a timed test
if 6 is added to three quarters number of a certain number the result is 42 find the original number
Answer:
48
Step-by-step explanation:
6 + x×3/4 = 42
24 + 3x = 168
3x = 144
x = 48
There are 49 non-fiction books on my shelf. The remaining 75% of
books are novels. How many books are on my shelf?
Step-by-step explanation:
the answer is in the above image
What is the reflection across y=x and y=-x. Just the general definition of what it means.
Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Reflection in the y -axis:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).
It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.
First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).
More information for you..
https://youtu.be/TPU5IyCUGuA
https://youtu.be/JHQtA6R7fYc
https://youtu.be/LR6f23gY3qk
[tex]\color{yellow}{}[/tex]
2097152 in exponential form
Answer:
do you mean scientific notation ?
2.097152 x [tex]10^{6}[/tex]
Step-by-step explanation:
Trthhhhjvbbjjjjj
Ghhhhhjjjbn
Answer:
????????????????????????????????