Answers
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is [tex]\frac{2x-y}{y^2+1}[/tex], so making the correct substitutions yields:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0[/tex]
So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:
[tex]\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}[/tex]
So, the answer for part (b) is -3/26.
Step-by-step explanation:
So we have the rational expression [tex]\frac{2x -y}{y^{2} +1}\\[/tex]. All we have to do is to just plug the given values for what x and y are.
Solution of a:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0[/tex]
Answer of a:[tex]0[/tex]
Solution of b:[tex]\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}[/tex]
Answer of b:[tex]-\frac{3}{26}\\[/tex]
Related Questions
Solve for x
I
(2x +1)° (5x +50°
Answers
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).
Answers
Answer:
y=12x-45
Step-by-step explanation:
First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.
Now we have:
y=12x+48
where the slope is 12.
Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.
Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)
Step 1 for this: y-3=12(x-4)
Step 2: we will distribute and solve for y so our answer is in slope intercept form.
Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45
Our answer is y=12x-45
Hope this helps!
9x + 3 = 6x - 12 + 3x
Answers
0=−15
Step-by-step explanation:
subtract 3 from both sides
9+3=9−12
9+3−3=9−12−3
simplify
9=9−15
subtract 9x from both sides
9=9−15
Simplify again and combine like terms and you should get 0=−15
9. If one inch represents 14 feet,
what dimensions would you use
to make a scale drawing of a
building 84 feet by 126 feet?
Answers
Answer:
the answer would be 6in. by 9in.
Step-by-step explanation:
you have to divide 84 by 14 and 126 by 14
calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s
Answers
Answer:
158400 meters
Step-by-step explanation:
multiply 3600 by 22 then multiply by 2
Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =
Answers
Answer:
25
Step-by-step explanation:
Answer:
it is 25 :)
Step-by-step explanation:
Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please
Answers
Answer:
-7
Step-by-step explanation:
[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]
Simply replace h(x) with 9 because it is given in the question that h(x)=9
Once the child in the sample problem reaches the bottom of the hill, she continues sliding along the flat, snow-covered ground until she comes to a stop. If her acceleration during this time is -.392m/s^2 how long does it take her to travel from the bottom of the hill to her stopping point
Answers
Sample problem is;
A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.
Answer:
t = 39.54 s
Step-by-step explanation:
We are told that her acceleration is now -0.392 m/s²
Thus; a = -0.392 m/s²
From the sample problem, we have;. Initial velocity = 0 m/s
Final velocity = 15.5 m/s
However, in this question, we want to find the time from the bottom of the hill to her stopping point.
This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s
To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;
v = u + at
making t the subject, we have;
t = (v - u)/a
t = (0 - 15.5)/(-0.392)
t = 39.54 s
HELP PLEASE IS FOR TODAY
20 points
•Segment A'B' is closer to point C than segment AB.
•Segment A"B'" is closer to point C than segment A'B'
•Segment A'B' is farther from point C than segment AB
•Segment A"B'" is farther from point C than segment AB.
•Segment A"B" is farther from point C than segment A'B'
Answers
Answer:
It's A. segment A"B" is closer to segment C than segment A"B".
Step-by-step explanation:
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answers
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
HELP ME PLEASE!!! this is the recipe.
Answers
Answer:
Ok... hmmmmm
So im going to assume that this is an adding fractions question so for a half batch it would be 1 1/4 + 2 2/4 which is 3 3/4 cups and for a double batch it would be 15 cups because 10 + 5 is 15.
The first blank probably is 3 3/4
The second blank probably is 15
<3 I already answered this on the other question but I want points so tysm.
I need help
Indicate the quadrant in which the point belongs.
(-18, -12)
Answers
Answer:
3rd quadrant is where the point is
Translate the equation into a verbal sentence 3y+8=32
Answers
Answer:
32 Is Eight More Than 3 Times A Number
Explanation:
32 Is Eight More Than: + 8 = 32
3 Times A Number: 3y
Put Everything Together: 3y + 8 = 32
Step-by-step explanation:
Hey there!
3y+8 = 32 --> The sum of thrice of a number and 8 is 32.
Reason:
When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.
Hope it helps...
If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?
Answers
Answer:
the correct answer is -2. I hope this helped
Find the perimeter of the rectangle with points A(-1,4), B(3,4), C(-1,-2), D(3,-2).
Answers
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20 POINTS AND BRAINLIEST
Two functions are shown.
What is the value of f(4) + g(3)?
f(x) = 64(0.5)*
g(x) = 20x + 12
Enter your response here:
Answers
Answer:
g(x) = 20x + 12
Step-by-step explanation:
can i plz have the brainleist
45 + 15(n − 1) for n = 6
Answers
Answer:
120
Step-by-step explanation:
45 + 15 (6 -1)
45 + 15 (5)
45 + 75
120
what Else would need to be congruent to show
Answers
Answer:
A
Step-by-step explanation:
Find the area of polygon ABCDE (shown below)
5
4
m
20
Answers
Answer:
The answer is 24
Step-by-step explanation:
help show work
42,44,46,48,50
assig 9
Answers
Answer: see below
Step-by-step explanation:
42) 11 < 3y + 2 < 20
-2 -2 -2
9 < 3y < 18
÷3 ÷3 ÷3
3 < y < 6
Graph: o----------o
3 6
44) 36 ≥ 1 - 5z > -21
-1 -1 -1
35 ≥ -5z > -22
÷ -5 ↓ ÷ -5 ↓ ÷ -5
7 ≤ z < 4.4
Graph: o------------ ·
4.4 7
46) 6b + 3 < 15 or 4b - 2 > 18
-3 -3 +2 +2
6b < 12 4b > 20
÷6 ÷6 ÷4 ÷4
b < 2 or b > 5
Graph: ←--------o o---------→
2 5
48) 8d < -64 and 5d > 25
÷8 ÷8 ÷5 ÷5
d < -8 and d > 5
there is no number that is both less than - 8 and greater than 5
No Solution
Graph: (empty)
50) 15x > 30 and 18x < -36
÷15 ÷15 ÷18 ÷18
x > 2 and x < -2
there is no number that is both less than - 2 and greater than 2
No Solution
Graph: (empty)
If mZ3 = 74°, find each measure.
Answers
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.
Answers
Answer
1- 61.95
2- 82.6
Step-by-step explanation:
V=πr2h divided by 3
is 42,260 a rational or irriational number
Answers
Answer:
rational
Step-by-step explanation:
it can be written as a ratio like 42260/1
brainliest?? please
Answer:
Rational
Step-by-step explanation:
This number is a whole, even number. It does not fit the criteria to be irrational because it can be written as a simple fraction
of two planes intersect is their intersection a point
Answers
8.
Which of the following is a negative
rational number that is not an integer?
А -pi
B -4.5
C -2
D 5 squared
Answers
It is not an integer because it’s a decimal, it’s a rational number, unlike pi, and it’s negative, so it the answer is 4.5
1/2 inch is equal to ____ /16 inch
a. 8
b. 2
c. 6
d. 4
Answers
Answer:
a. 8
Step-by-step explanation:
hope you find it helpful
ps: mark as brainliest
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.
Answers
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore the lengths of the triangle are:
[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
At Al's Pizza they have the Expo Pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. You order a pizza and get charged $29.25. Which equation represents the situation described?
A.29.25 = 17.50 +2.35x
B. 29.25 = 17.50x + 2.35
C. 2.35x = 29.25 + 17.50
D.17.50 +2.35 = 29.25x
Answers
Answer:
Compare and contrast the to main candidates
Step-by-step explanation:
Help
Solve for x:
(X+5)^1/2 = (5-2x)^1/4
Answers
Answer:
X = Negative 2 (-2)
You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer
Answers
Answer:
24
Step-by-step explanation:
Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.
So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .
So we have 24 different HiFi systems are available to purchase from this retailer