Replace the power with a product and then transform the product into a polynomial. (1-y)^2
Answer:
1-2y+y^2
Step-by-step explanation:
(1–y)^2
(1-y) * (1-y)
FOIL
first: 1*1 =1
outer: 1*-y = -y
inner: -y *1 = -y
last: -y*-y = y^2
Add together: 1+-y-y+y^2
Final answer1-2y+y^2
Credit:
wegnerkolmp2741o
He solved it earlier.
Task-1:
1. Which of the following are in proportion?
a) 21, 35, 24, 40 b) 75, 21, 18, 6
Answer:
1
Step-by-step explanation:
Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____.??
A. 2
B. 2 over 5
C. 5 over 2
Answer:
B. 2 Over 5
Step-by-step explanation:
The answer would be B because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.
Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.
The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.
Given expression is [tex]\sqrt{0.96}[/tex].
We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].
Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.
For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result.
Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Babylonian MethodStep 1:Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]
Step 2:Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]
Average the value of step 2) with that of step 1:
[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).
Now,
[tex]error= new\ guess-previous \ value[/tex]
[tex]error= 1.24-0.48\\error=0.76[/tex]
0.76 > 0.01.
As error > accuracy, we repeat this step again.
Step 3:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.24} =0.7741935484[/tex]
Average the above value with that of step 2:
[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]
[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]
0.2329032258 > 0.01.
As error > accuracy, we repeat this step again.
Step 4:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]
Average the above value with that of step 3:
[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]
0.0269308342 > 0.01.
As error > accuracy, we repeat the step again.
Step 5:Divide 0.96 by the previous result.
[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]
Average the above value with that of step 4:
[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]
0.000369973 < 0.01.
As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.
So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.
Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.
So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.
Hence the correct option is C. 0.98.
For more details on square root follow the link:
https://brainly.com/question/1527773
Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .
Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .
Answer:
it changes it by putting it into quadrant 2.
Step-by-step explanation:
(x,y) → (x,-y)
KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2
Preston is correct
If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.
(Hint: 58 is what percentage of 100?)
Answer:
58 out of 100 is
58/100
as a decmil that is
0.58
Hope That Helps!!!
I'm having trouble solving this:
Corry collects cube containers. She fills them with water and pours them into a rectangular prism. She was playing with them and discovered something interesting. She had three cube containers. One cube was 1 inch by 1 inch by 1 inch. A second cube was 2 inches by 2 inches by 2 inches and a third cube was 3 inches by 3inches by 3 inches.
She filled all three with water. Then Corry poured all three cubes into a rectangular prism filling it exactly! The rectangular prism has a square base with a side length (1+2+3 = 6) inches and the height is 1 inch.
Corry wonders whether she has found a pattern. Investigate using more cube containers to fill square base prisms with heights of 1 in. Describe any conjectures you discover.
Corry's conjecture is right, and the volume follows a pattern
The volume of a cube of side length l is:
[tex]V = l^3[/tex]
For the first cube of length 1 in, the volume is:
[tex]V = 1^3[/tex]
[tex]V = 1[/tex]
For the second cube of length 2 in, the volume is:
[tex]V = 2^3[/tex]
[tex]V = 8[/tex]
For the third cube of length 1 in, the volume is:
[tex]V = 3^3[/tex]
[tex]V = 27[/tex]
So, the total volume is:
[tex]Total =1 + 8 + 27[/tex]
[tex]Total =36[/tex]
The volume of a rectangular prism of base lengths 6 in and height 1 in is:
[tex]Volume = 6^2 \times 1[/tex]
[tex]Volume = 36[/tex]
Assume, he adds a cube of side length 4 in, the volume is:
[tex]V = 4^3[/tex]
[tex]V = 64[/tex]
The total volume would be:
[tex]V =36 + 64[/tex]
[tex]V =100[/tex]
The base length of the rectangular prism would be:
[tex]Length =1+2+3+4[/tex]
[tex]Length =10[/tex]
The volume of the rectangular prism would be:
[tex]Volume = 10^2 \times 1[/tex]
[tex]Volume = 100[/tex]
So, the pattern is:
Cubes Volumes
1, 2, 3 36
1, 2, 3,4 100
Corry's conjecture is right, and the volume follows a pattern
Read more about conjectures at:
https://brainly.com/question/4125198
Select all of the following that are ordered pairs of the given function.
ƒ(x) = 3 - 2x
(-2, -1)
(1, 0)
(2, -1)
(0, 3)
(-1, 5)
Answer:
(-2,-1)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Answer:Answer:
(-2,-1) (2,-1) (-1,5)
Step-by-step explanation:
f(x)=3 - 2x
y = 3 - 2x
if x = - 2
y =3 - 2(-2)
= -1
Required ordered pair is (-2,-1)
Step-by-step explanation:
All you need is on the photo
Please put these answer choices in oreder
Please don't answer random if you do that tou are gonna lose points
Answer: a
Step-by-step explanation:
(Statistics)Which of the following is NOT a characteristic of a least squares regression line?
Based on the information given, the option that's correct is E. All the above are characteristics.
It should be noted that when the least square regression line goes through all the points, the sum of squared residuals is 0.
Also, the least-squares regression line makes the sum of the squares of the residuals as small as possible and the slope is usually between -1 and 1. The smaller the residual sum of squares, the better the model fits the data.
Learn more about the least square regression on:
https://brainly.com/question/16975425
PLS HELP!! Ill mark brainliest!
Answer:
120 cm^3
Step-by-step explanation:
1. 9 times 5 =45
2. 45 divided by 3 = 15
3. 15 times 8 = 120
Solve please! :) The values of m n k respectively.
Answer:
1,6,2 and 5
Step-by-step explanation:
(2x/5)² . (1x⁴/4)^-1
=(2²x²/5²) . (4/x⁴)
=4x²/25 × 4/x⁴
= 16/25x²
25 POINTS! Plz help me!
Answer:
2nd option
Step-by-step explanation:
The standard form of an exponential function is
y = a[tex]b^{x}[/tex]
Use points on the graph to find a and b
Using (0, 5 ) , then
5 = a[tex]b^{0}[/tex] = a
Then
y = 5[tex]b^{x}[/tex]
Using (1, 2 )
2 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
[tex]\frac{2}{5}[/tex] = b
Thus
f(x) = 5[tex](\frac{2}{5}) ^{x}[/tex] ← equation of graph
can i get some help on this question?
Find the slope of the line going through the pair of points: (11, 7), (-9, 8)
20
O-20
0 - 20
O 20
Answer:
1/-20 or -0.05
Step-by-step explanation:
expand: -4(2x + 2) +3
Answer:
-8x-8+3
-8x-5
that is the answer for this question and I will send you the link to mp3 and
sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4
x=57
Step-by-step explanation:
x+x+2+x+4=177
3x+6=177
3x=177-6
3x=171
x=57
Therefore the three consecutive numbers are:
57;59;61
Determine algebraically if the function is even, odd or neither:f(x)=5x2+2x+1
This function is neither even nor odd.
We have
f(x) = 5x² + 2x + 1
f(-x) = 5 (-x)² + 2 (-x) + 1 = 5x² - 2x + 1
- f(x) = -5x² - 2x - 1
but neither f(-x) = f(x) nor f(-x) = -f(x).
If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)
Step-by-step explanation:
f(x) = 5^x + 2x and g(x)= 3x-6
(f + g) (x)
5^x + 2x + 3x-6
5^x + 5x -6
^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS
Part B (Taxi):
12 miles = 0.5 miles + (115×0.1) miles
Rate: $2.40 + (115×0.20)
= $25.40
Total cost (with tip): $25.40 + $2
= $27.40
20 miles = 0.5 miles + (195×0.1) miles
Rate: $2.40 + (195×0.20)
= $41.40
Total cost (with tip): $41.40 + $2
= $43.40
50 miles = 0.5 miles + (495×0.1) miles
Rate: $2.40 + (495×0.20)
= $101.40
Total cost (with tip): $101.40 + $2
= $103.40
Part B (Uber):
12 miles (rate) = $1 + ($1.05×12)
= $13.60
Total cost (with tip): $13.60 + $2
= $15.60
20 miles (rate) = $1 + ($1.05×20)
= $22
Total cost (with tip): $22 + $2
= $24
50 miles (rate) = $1 + ($1.05×50)
= $53.50
Total cost (with tip): $53.50 + $2
= $55.50
Part C
Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.
Hi! Can somebody please help me? I have been stuck on this question for too long now.
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.
The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)
Answer:
its 7
Step-by-step explanation:
IMPORTANT QUESTION: If i have 464 assignments to do, and want to get it done in 130 days how many assignments should I do a day?
Answer:
4 assignments per day.
Step-by-step explanation:
Since you have 464 assignments, and 130 days, then you can divide.464/130 = 3 37/65Since you have a fraction, you can round it to 4 assignments.Answer:
3 .
Step-by-step explanation:
464 / 130
it’s not exactly like this,
if Im wrong!
Use the graph to describe what transformation has taken place. List your answer below.
Please help! I'll give brainliest.
Answer:
Reflection over y-axis (-x,y)
Step-by-step explanation:
Reflection over y-axis (-x,y)
A (-2 , 4) , A'( 2,4)
you can check the rest.
PLEASE HELP QUESTION IN PICTURE
Answer:
y=4x+5
Step-by-step explanation:
pls add the polynomials and find degree 1. p(x) = 6x² – 7x + 2 q(x) = 6x³ – 7x +15 2.h(x) = 7x³ – 6x + 1 f(x) = 7x² + 17x – 9
First let us know about Polynomial –
The degree of a polynomial is defined as the highest power on a variable in a polynomial.Types of polynomials based on the degree–
[tex]\qquad[/tex] ☀️ Constant polynomial :-
A polynomial having 0 as its degree is known as a constant polynomial.Example : 6 (6x⁰ : degree of x : 0)
[tex]\qquad[/tex]☀️ Quadratic polynomial :-
A polynomial having 2 as its degree is known as a quadratic polynomial.Example : 3x² + 7x + 6 (3x² : degree of x : 2)
[tex]\qquad[/tex]☀️ Cubic polynomial :-
A polynomial having 3 as its degree is known as a cubic polynomial.Example : 5x³ + 3x² + 7x + 6 (5x³ : degree of x : 3)
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow (1) p(x) = 6x² – 7x + 2 + q(x) = 6x³ – 7x + 15}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² – 7x + 2 + (6x³ – 7x + 15)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 6x² + 6x² – 7x – 7x + 2 + 15[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow 6x³ + 6x² – 14x + 17}[/tex]
The degree of the polynomial is 3.[tex]\qquad[/tex][tex]\pink{\bf \longrightarrow (2) h(x) = 7x³ – 6x + 1 + f(x) = 7x² + 17x – 9}[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow 7x³ – 6x + 1 + (7x² + 17x – 9)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 7x³ + 7x² – 6x + 17x + 1 – 9[/tex]
[tex]\qquad[/tex][tex]\pink{\bf\longrightarrow 7x³ + 7x² + 11x – 8}[/tex]
The degree of the polynomial is 3.1) The degree of the polynomial is 3.
2) The degree of the polynomial is 3.
Does this graph represent a function? Why or why not
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Answer:
B. yes, it passes the vertical line test
Step-by-step explanation:
A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.
_____
A function maps any given x-value to only one y-value.
PLS HELP TY!!
Two functions, function A and function B, are shown below:
Function A
x y
7 14
8 16
9 18
Function B The first quadrant of a coordinate grid is shown from 0 to positive 8 on both axes at intervals of 1. The title is Function B. Only the even numbers are shown on the scale. A line is drawn by connecting the points on ordered pairs 1, 3 and 2, 6 and 3, 9.
Which statement best compares the rate of change of the two functions? (1 point) The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B. The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function B is greater than the rate of change of function A
x+y=15
- 2x+5y=-2
solve the system of equations
please answer i’ll name you brainliest
Answer:
x= 11 and y = 4
Step-by-step explanation:
(solving by elimination)
Multiply the first equation by 2 and multiply the second one by 1.
2(x+y= 15)
1(-2x+5y=-2)
is now
2x+2y=30
-2x+5y-2
add them together to eliminate x
7y=28
then solve for y
7y=28
[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]
y=4
---
Now you have y. put that back into the original equation for X
---
x+y=15
y= 4 so
x+4=15
x= 15-4
x=11
x=11, y=4
PLEASE HELP!!!!!!!!!!!!!
When is christmas 2021
Answer:
IN 15 days
Step-by-step explanation:
EASY
MARK AS BRAINLIEST
Answer:
in december 23-24
Step-by-step explanation:
i gueess