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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.
Jenny got a haircut before school started. The stylist cut 0.36 inch off Jenny's hair. Which fraction and percent are equivalent to the amount of Jenny's hair the stylist cut off?
Answer:
The fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.
The percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.
Step-by-step explanation:
From the question, the stylist cut 0.36 inch off Jenny's hair.
To determine what fraction is equivalent to the amount of Jenny's hair the stylist cut off, we will express 0.36 inch as a fraction.
[tex]0.36 = \frac{36}{100}[/tex]
Then, we will reduce [tex]\frac{36}{100}[/tex] to a fraction in its lowest term
[tex]\frac{36}{100} = \frac{9}{25}[/tex]
Hence, the fraction equivalent to the amount of Jenny's hair the stylist cut off is [tex]\frac{9}{25}[/tex] inch.
For the percentage equivalent to the amount of Jenny's hair the stylist cut off, we will express [tex]\frac{9}{25}[/tex] as a percentage. That is
[tex]\frac{9}{25} \times 100[/tex]%
= 36%
Hence, the percentage equivalent to the amount of Jenny's hair the stylist cut off is 36% inch.
Which expression is equivalent to 11 - (-3 5/8)?
Answer:
11 - (-3 5/8)
= 11 + 3 5/8 ( 2 negative signs become positive)
answer is B.11 + 3 5/8
Step-by-step explanation:
Answer:
The answer is 11 + 3 5/8
Step-by-step explanation:
I did it on khan
Your gym membership costs $30 to join and $25 per month. Which equation gives the total costs y, for a membership that lasts x months?
Answer:
y=$25x+30
Step-by-step explanation:
This is the correct answer. The reason is that the equation is y=mx + b. b is like y-intercept, and that answer would be $30. $25x is correct because the question says per month, and when you see that it means ¨x¨.
what proofs should i use for all these steps?
Answer:
1, 2, 5, 12, 13
Step-by-step explanation:
∠1 = 90 is given, which is a right angle
∠3 = 90 as well because ∠1 and ∠3 are vertically opposite
∠3 = ∠8, because ∠1 and ∠8 are same side exterior angles, which are the same
Therefore ∠3 must be congruent to ∠8
WILL MARK BRAINLIEST!!
1. Find 7% sales tax on a $48 purchase.
2. Find 6.5% sales tax on a $25 purchase.
3. You markup a $25 tool by 45%. What is the new price?
4. You markup a $40 watch by 75%. What is the new price?
5. You discount a $120 TV by 44%. What is the new price?
6. You discount a $65 coat by 25%. What is the new price?
PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.
what do you need to add to 2 4/7 to make 4
answer=0.58
Step-by-step explanation:
24/7= 3.42 ,so you subtract this from 4 to get 0.58
Which function has a greater rate of change?
Function A:
x 1.5 2.5 3.5 4.5 5.5
y –5 0 5 10 15
Function B:
y = –4.5x + 15
Function A has a rate change of BLANK and Function B has a rate change of BLANK so Function BLANK has a greater rate of change
Answer:
5; -4.5; Function AStep-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5Rate of change of function B is:
-4.5 as the slope is the rate of changeComparing the values:
5 > - 4.5Function A has a greater rate of change
Answer:
Answer:
5; -4.5; Function A
Step-by-step explanation:
Rate of change for function A is:
(15 - 10)/(5.5 - 4.5) = 5/1 = 5
Rate of change of function B is:
-4.5 as the slope is the rate of change
Comparing the values:
5 > - 4.5
Function A has a greater rate of change
can someone just fill this in for me and not tell me how to do it
Answer:
-4, 5, 14, 23, 32
Step-by-step explanation:
Funny, I learning this right now. What??? You expected an explanation? Nope.
Answer:
y values going left to right : -4, 5, 14, 23, 32
Step-by-step explanation:
I graphed it. i'll give you the link to desmos. It'll help you
i need help plz its due in 30 minutes
Answer:
is 2/3 times - 13/12=- 5/12 times
Step-by-step explanation:
Can Someone Help please
The lengths of the two legs of a right triangle are 2 root 3 and 5 what is the hypotenuse? Leave the answer in simplified radical form.
Answer:
√37Step-by-step explanation:
As per Pythagorean theorem:
c = √a² + b²Substituting values
c = √ (2√3)²+5² = √12 + 25 = √37I WILL GIVE BARINLEST WHO HELP ME
3
Answer:
What's the question
Step-by-step explanation:
???
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will give brainliest
Answer:
14.7
Step-by-step explanation:
Plz help me with this question 10 points (I added a photo)
Answer:
Pretty sure its B
Step-by-step explanation:
which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)
Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
Find out more information about trigonometric expression here
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help will give brainly and pts.
Which expression is the same as 5÷3 5 ÷ 3 ?
What is the value of the expression 2.8*10^7/1.4*10^3
PLZ HELP I DONT UNDERSTAND (show steps)
Answer:
a= −b/x
Step-by-step explanation:
Let's solve for a.
ax2+bx=0
Step 1: Add -bx to both sides.
ax2+bx+−bx=0+−bx
ax2=−bx
Step 2: Divide both sides by x^2.
ax2x2=−bxx2
a=−bx
Answer:
Step-by-step explanation:
perfect sqaure formula (u+w)²=u²+2uw+w²
ax²+bx+c=0 divide by a
[tex]x^{2} +\frac{bx}{a} + \frac{c}{a} =0[/tex] so u=1, 2uw=2*1*w= b/a, so w=b/2a
[tex](x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0[/tex] now that we formed the perfect sqare solve
[tex](x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0[/tex] but we can factor a negative in front of the fraction
[tex](x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0[/tex] now isolate the 2 terms and squareroot both sides
[tex]\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }[/tex] and you will be left with
[tex]x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }[/tex] subtract b/2a from both sides
x= [tex]\frac{-b+ - \sqrt{b^{2}-4ac } }{2a}[/tex]
Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?
Answer:
$31.63 per hour
Step-by-step explanation:
$31.63 per hour
40 hour weeks × 52 weeks = 2080 hours
65,788/2080= 31.63
hope this helped,brainliest?
If 7 + 5 i is a zero of a polynomial function P(x) with real coefficient, then which is also a zero for P(x)
Answer:
ppap
Step-by-step explanation:
fhfhhffhff my name is denish paudyal
Answer:
7 - 5i
Step-by-step explanation:
complex zeros occur as conjugate pairs , thus if 7 + 5i is a zero, then
7 - 5i is also a zero
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C. What was the final temperature on Sunday?
Given :
The temperature of a place was 32⁰C on Friday. On Saturday it rose by 4⁰C, then rainfall on Sunday caused the temperature to fall by 7⁰C.
To Find :
The final temperature on Sunday.
Solution :
Temperature on Saturday = initial temperature + 4⁰C
= 32⁰C + 4⁰C
= 36⁰C.
Temperature on Sunday = temperature on Saturday - 7⁰C
= 36⁰C - 7⁰C
= 29⁰C
Therefore, final temperature on Sunday is 29⁰C.
Hence, this is the required solution.
What is absolute value
The opposite of smth on a number line.
Answer:
Absolute value is the distance of a number from zero
Step-by-step explanation:
for example 5 is 5 from zero -1000 is 1000 from zero absolute value will always be positive
HELP ME RIGHT NOW!!!
1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.
Answer:
linear is when the graph shows a straight line
Answer:
linear is when the graph shows a straight line
Step-by-step explanation:
Solve the equation.
Hint: Rewrite the equation!!!
16 = - 4(y + 3)
Answer:
Step-by-step explanation:
16 = - 4y - 12
Bringing like terms on one side
16 + 12 = - 4y
28 = - 4y
28/-4 = y
-7 = y
What is the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)
Answer:
2 3 0 -4 8
+ 6 12 16
3 6 8 24
A：3x^3+6x^2+8x+24/x-2
Answer:
(3x^4-4x^2+8x-1)÷(x-2)
evaluate 68 x 71 mentally.
Answer:
4828 = 68 x 71
Step-by-step explanation:
how I looking at it all I did was multiply
Answer:
4828
Step-by-step explanation:
68x71=4828
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.
This system of equations models the number of books.
x + y = 26
x – y = 12
Elliot added the two equations and the result was 2x = 38.
Solve the equation. How many fiction books does Elliot have?
fiction books
How many nonfiction books does Elliot have?
nonfiction books
Answer:
fiction= 19 books
non-fiction= 7 books
Step-by-step explanation:
hope this helps :)
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Susan won $2000 and invested it into an account with an annual interest rate of 3.2%. If her investment were compounded monthly, which expression best represents the value of her investment after t years
Answer:
FV= PV*(1+i)^t
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Interest rate (i)= 3.2% = 0.032
Number of periods= t
To calculate the future value (FV) of the investment, we need to use the following formula:
FV= PV*(1+i)^t
For example, Susan invests for 4 years:
FV= 2,000*(1.032^4)
FV= $2,268.55
The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]
Calculation of the expression:Since
Susan won $2000 and invested it into an account with an annual interest rate of 3.2%.
Here Number of periods= t
Therefore we can conclude that The expression best represents the value of her investment after t years is [tex]FV= PV\times (1+i)^t[/tex]
Learn more about an account here:https://brainly.com/question/3096424
