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Explanation:
I'm assuming you meant to type out
(y-2)^2 = y^2-6y+4
This equation is not true for all real numbers because the left hand side expands out like so
(y-2)^2
(y-2)(y-2)
x(y-2) .... let x = y-2
xy-2x
y(x)-2(x)
y(y-2)-2(y-2) ... replace x with y-2
y^2-2y-2y+4
y^2-4y+4
So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4
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Another approach is to pick some y value such as y = 2 to find that
(y-2)^2 = y^2-6y+4
(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2
0^2 = 2^2 - 6(2) + 4
0 = 4 - 6(2) + 4
0 = 4 - 12 + 4
0 = -4
We get a false statement. This is one counterexample showing the given equation is not true for all values of y.
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
There are two gardens, garden A and garden B are shown in the image below.
Determine if statement 3 and 4 are true or false and explain why the statements are true or false
Answer:
3- False, 4- TrueStep-by-step explanation:
Garden ARectangle with sides
Width ⇒ 2x - 3 feetLength ⇒ 5(2x - 3) = 10x - 15Perimeter is
2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36Garden BTriangle with sides
5x + 5, 4x + 2, 8x - 8Perimeter is
5x + 5 + 4x + 2 + 8x - 8 = 17x - 1Statement 3The difference in perimeters is the difference is fencing:
24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35Since it is different from 7x - 37 the statement is FALSE
Statement 4Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
So the perimeter is going to be:
24x - 36 + 20 = 24x - 16This statement is TRUE
Simplify the expression 7(3+2p+7).
Answer: 14p +70
Step-by-step explanation:
Answer:
84p
Step-by-step explanation:
3+2=5 +7=12x7+84
A half marathon is 13.1 miles long. Which equation could be used to determine the time, t, it takes to run a half marathon as a function of the average speed, s, of a runner?
Answer:
time(t)=distance(13.1)/speed (s)
hope this helps
MARK AS BRAINLIEST
MARK AS BRAINLIEST
Answer:
Time=distance/average speed
Step-by-step explanation:
Example:
Average speed: 13.1 miles per hour
Distance: 13.1 miles
Time: x
X= distance/speed
X= 13.1/13.1
X=1
Search for Speed/Time/Distance (Physics)
What is the value of v? Please provide an explanation, thanks!
Answer:
13
Step-by-step explanation:
(180-(11v+15)+9v-8+6v-9=180
4v+148=180
4v=52
v=52/4
=13°
which equation is perpendicular to the graph of 5x - 3y = 12
Answer:
y = -3/5x + c
Step-by-step explanation:
Re-arrange the initial equation so that the it becomes y =
To do this, you +3y on both sides to get 5x = 3y + 12
And then -12 on both sides to get 5x - 12 = 3y
Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4
The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5
Therefore your perpendicular line should be y = -3/5x + c
Because you didn't specify on what point they intersect, i can't find c for you.
please answer this friends
Answer: 6/9
Step-by-step explanation:
1) 2/3 + 3/4=5/7
2) 1/2+5/7=6/9
3) Did this help
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights are shown. Write a system of linear equations that represents this situation.
Complete Question:
You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.
The initial heights are shown.
Write a system of linear equations that represents this situation.
Answer:
[tex]s(x) = 8 + 4x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Step-by-step explanation:
Given
Spruce Tree (s):
[tex]Initial\ Height = 8[/tex]
[tex]Growth = 4[/tex] (yearly)
Hemlock Tree (h):
[tex]Initial\ Height = 14[/tex]
[tex]Growth = 6[/tex] (yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
[tex]Equation = Initial\ Height + Growth * x[/tex]
For Spruce Tree (s):
[tex]s(x) = 8 + 4 * x[/tex]
[tex]s(x) = 8 + 4x[/tex]
For Hemlock Tree (h):
[tex]h(x) = 14 + 6 * x[/tex]
[tex]h(x) = 14 + 6x[/tex]
Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]
pls help i give brainliest
37a + 45b +1 3c + 26d + 27
which one is the term?
i literally have no idea but hope you don't mind if i get your points!?
590 ÷ 5 with the remainder of what
Answer:
118 r0
Step-by-step explanation:
590/5=118
there is no remainder
hope this helps :3
if it did pls mark brainliest
What is 36 x 36
A. 1296
B. 1256
C. 1298
D. 1301
Answer:
A.1296
Step-by-step explanation:
Answer:
A. 1296
Step-by-step explanation:
36 x 36 = 1296
I put it into a calculator..
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour?
Answer:
The amount of water leaking per hour is 3/4 of the bucket volume
Step-by-step explanation:
The given parameters are;
The volume of water in the bucket = 3/10 of the bucket volume
The time duration of the leak = 2/5 hour
Therefore;
The leak rate = Volume/Time
The amount of water leaking per hour = (3/10 of the bucket volume)/(2/5 hour)
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume/hour.
The amount of water leaking per hour is [tex]\frac{3}{4}[/tex] of the bucket volume.
Given ;
The volume of water in the bucket = [tex]\frac{3}{10}[/tex] of the bucket volume
The time duration of the leak = [tex]\frac{2}{5}[/tex] hour
Therefore;
The leak rate = [tex]\frac{volume }{time}[/tex]
The amount of water leaking per hour = ( [tex]\frac{3}{10}[/tex] 0f the bucket volume)/([tex]\frac{2}{5}[/tex] hour)
= ( [tex]\frac{3}{10} . \frac{5}{2}[/tex] ) volume per hour
The leak rate = The amount of water leaking per hour = 3/4 of the bucket volume per hour.
For more details about volume and rate change click the link given below.
https://brainly.com/question/15184412
10.9 as a fraction or mixed number
please help fast i have no clue what this is meaning
ILL MARK U BRAINLIEST
Answer:
A function is a relation that is either
one-to-one, meaning each output only has one inputmany-to-one meaning some outputs can have more that one input, but all inputs only have one outputSo, That pic is cramped, don't even know what functions are being referenced but
from the a, b, c, d relation
It is not a function because some inputs have more that one output, which fails our man-to-one ruleFrom the equations
-3x = 15 is not a function, because it only has one input but more than one output breaking rule 12y=10 is a function because every input x has only one output y, it is many-to-one3x-0.25y=3 is a function, it is one to oneFrom the graph
the line is a function, since it is many-to-oneFrom the points
the x coordinate is the input, not points (2,6) and (2,3) have the same input for two outputs, breaking rule 2, that each input should have only one output. So the points are not a functionPls I need help !!!!!!!!!
Answer:
b=100 and c=100
Step-by-step explanation:
Because 100 is across a no value which is also 100 because they are the same and the b and c sides too so they both are 100
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[tex]100° + b = 180°[/tex]
Because they make straight line.
Also ;
[tex]100° + c = 180°[/tex]
Thus :
[tex]b = c[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]100° + b = 180°[/tex]
Subtract sides 100°
[tex] - 100° + 100° + b = 180° - 100° \\ [/tex]
[tex]b = 80°[/tex]
So ,
[tex]b = c = 80°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
pls help.............
Answer:
its c i think
Step-by-step explanation:
flip it around to where the right angles are in the same spot
A 15 W electric shaver is used for 3 minutes. How much energy does it use?
I need help with this prob
PLS HELP!!! FIRST GETS BRAINLIEST!
Which ordered pairs make both inequalities true? Check all that apply.
(−5, 5)
(0, 3)
(0, −2)
(1, 1)
(3, −4)
Answer:
(0,-2) and (1,1)
Step-by-step explanation:
The solution points at the intersection of what is above the orange line and belothe blue line.
(-5, 5) is only in the orange zone so X
(0,3) is on the blue line that is doted so X
(0,-2) is on the orange line that is solid so ✅
(1,1) is in the orange and blue so ✅
(3,-4) is in the blue zone only so X
Answer:
hoi
Step-by-step explanation:
Find the slope of the following graph 1) 0 2) No slope 3) 1
Answer:
it is 0
Step-by-step explanation:
hope it helps <3
Using the slope concept, it is found that this graph has a slope of 0.
Given two points (x,y) on a linear graph, the slope is given by the change in y divided by the change in x, that is:
[tex]m = \frac{\Delta_y}{\Delta_x}[/tex]
In this question, two of the points are: (1, 1.5) and (2, 1.5). Then, the slope is:
[tex]m = \frac{\Delta_y}{\Delta_x} = \frac{1.5 - 1.5}{2 - 1} = \frac{0}{1} = 0[/tex]
This graph has a slope of 0.
A similar problem is given at https://brainly.com/question/5029023
Graph the linear equation y = 2
Answer: Please look at the steps to see the answers.
Step-by-step explanation:
The line y= 2 has a slope of 0 meaning that for any input of x the results will always be 2.
This means the the graph will be a horizontal line through the point, (0,2)
You can also use this table to graph it;
x y
0 2
1 2
2 2
3 2
4 2
5 2
6 2
-1 2
-2 2.
Glenn’s teacher asked him to use the absolute value of −7 in an equation.What number should he use?
Answer:
7
Step-by-step explanation:
opposite value of -7 is 7
Plz help! (picture below) Will mark brainliest or correct one!
You mean like graph? Yeah.
Write in Function form
[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]
So (y-3/x-6)=2 does represent "line"
[tex]\frac{y-6}{x-4}=5[/tex]
multiply x-4 all side.
[tex]y-6=5(x-4)[/tex]
Notice how the equation is similar to "Tangent" so it's clearly a line.
About reasoning, No idea how to explain but this might help...
Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)
And when you simplify in Function Form, you'll get an exact linear function "[tex]y=mx+b[/tex]"
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -9 2 -13 3 -17 4 -21
Answer:
3
Step-by-step explanation:
The linear function or equation in the slope-intercept form will be y = -4x - 5.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
The linear function is given as,
y = mx + c
Here, m is the slope while c is the y-intercept.
Slope m = (-13 + 9)/(2 - 1)
m = -4
Put m = -4, (1,-9)
-9 = -4(1) + c
c = -5
y = -4x - 5
Hence "The linear function or equation in the slope-intercept form will be y = -4x - 5".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)
Answer:
y = 1/4 x - 31/4
Step-by-step explanation:
Slope (m) = 1/4
Point A (-1, -8)
y = mx + b
-8 = 1/4 (-1) + b
-8 + 1/4 = b
b = -32/4 + 1/4
b = -31/4
y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in
y = 1/4 x + - 31/4
y = 1/4 x - 31/4
Find the Value of x if the perimeter of the figure below is equal to it's area.
Answer:
2x + 5 = 3
Step-by-step explanation:
2x + 5 = x = -2 + 5
x = 3
pls help!!!!!!!!!!!!
Answer:
The answer on the right bottom
Step-by-step explanation:
3/4 × 1/2 = 3/8
None of them have 3 shaded but the right bottom
Therefore that'd be your answer
Answer:
bottom right
Step-by-step explanation:
In order to know the answer, you have to find the product of [tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex].
Multiply both numerators and denominators in order to get the answer.
[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] (this is the lowest term already)
If you check among the choices, it is only the bottom right choice that shows correct shading of the fraction. The diagram divides the right side into 4 equal parts. If you divide the left side into 4 equal parts like this, you'll surely get 8 equal parts of the total diagram. This represents the denominator, 8. The shaded portion represents the numerator, 3.
Distribute the expression. 2(8^2−5+11)
Answer:140
Step-by-step explanation:
Answer:multiply the 2 to the # in the () then boom done
Step-by-step explanation:
Find the are of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer.
x = 3in
The area of the square is ___ square inches. The area is the square and the length of its side (are/are not) directly proportional quantities.
Answer:
9 in and are not
Step-by-step explanation:
Answer:9 are not
Step-by-step explanation:big brain
Elvira ran 15 miles in 3 hours. Which function could determine the number of miles Elvira ran? A) y = 4x B)y=5x C) y = 2x
Answer:
B, hope it helps :D
Step-by-step explanation: