Solve (y–3)2 – 32 = 0, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click "No solution."
y = 0
Х
Answer:
[tex] \sqrt{32} + 3[/tex]
[tex] - \sqrt{32} + 3[/tex]
Step-by-step explanation:
Use foil method
[tex](y - 3) {}^{2} [/tex]
[tex](y - 3)( y - 3)[/tex]
First multiply y and y
[tex]y \times y = {y}^{2} [/tex]
Next Multiply Outer term y and -3.
[tex]y \times - 3 = - 3y[/tex]
After that ), Multily inner tern -3 and y
[tex] - 3 \times y = - 3y[/tex]
Finally multiply -3 and -3 and you get 9.
Then combine all
[tex] {y}^{2} - 6y + 9 - 32 [/tex]
[tex] {y}^{2} - 6y - 23[/tex]
Now I'm going to complete the square. First get only the y value on the left side so we first set this equal to zero then move add 23 on both sides.
[tex] {y}^{2} - 6y - 23 = 0[/tex]
Add 23
[tex]y {}^{2} - 6y = 23[/tex]
Apply formula
[tex] (\frac{b}{2} ) {}^{2} [/tex]
where b is the coefficient.
plug it in
[tex]( \frac{ - 6}{2}) {}^{2} [/tex]
Which is -3 squared which equal 9.
Then add 9 on both sides
[tex] {y}^{2} - 6y + 9 = 23 + 9[/tex]
23+9=32
Now let factor the left side
the only number that adds to -6 and multiply to 9 is
-3 so we would rewrite the left side as
[tex](x - 3) {}^{2} = 32[/tex]
Now take the sqr root of 32
[tex] \sqrt{(x - 3) {}^{2} } = \sqrt{32} [/tex]
Then add 3 on both sides
[tex]x + - 3 + 3 = \sqrt{32} + 3[/tex]
A sqr root of a number can be positive or negative so
the answer is
[tex] - \sqrt{32} + 3[/tex]
[tex] \sqrt{32} + 3[/tex]
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Answer:
The price of the watch is 280$
Step-by-step explanation:
We know that the original price is 400 dollers, and its on sale for 30%.
So we do 30% of 400 = 120$
finally we do, 400$ - 120$ = 280$
so the final price of the watch is 280$
hope this helps
Which expressions are equivalent 3p +15 choose all that apply
Answer:
Although you didn't give us the expressions, I'm assuming one of the correct answers would be 3(p+5) by factoring out a 3.
two lines of regression are 8x-10y_66=0,40x-18y-214 =0 find mean value of x and y
Step-by-step explanation:
The answer in this picture:)
what is -10 as a percent
-1,000%
Hope I helped you!Success!
Find the area:
HELP PLEASE
Answer:
Area = 30.3 ft²
Step-by-step explanation:
Area = area of a semicircle + area of a rectangle
= (½*πr²) + L*W
Where,
radius (r) = ½ of 4 = 2 ft
Length (L) = 6 ft
Width (W) = 4 ft
Plug in the values
Area = (½*π*2²) + (6*4)
Area = 30.3 ft² (nearest tenth)
Given that IG FT which of the following statements is true
Answer:
C
Step-by-step explanation:
someone help me lol..
Answer:
1/3x + 3 is the correct answer, hope it help
.. 600 is what percent of 150?
Answer:
400%
Step-by-step explanation:
We can write a percent proportion:
600/x = 150/100
a:b = c:d
a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.
So over here we do
(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150
We can also use benchmark fractions which I find much easier:
100% of 150 is 150.
So 200% of 150 is 300
So 300% of 150 is 450
And 400% of 140 is 600
Every time it increases by 100%, it also increases by 150 on the other side, which makes sense
Let me know if you have any questions.
Find the measure of the indicated angel.
A) 30 degrees
B) 35 degrees
C) 25 degrees
D) 40 degrees
Answer:
D
Step-by-step explanation:
44+32=76
180-76=104
104+36=140
180-140=40
D)40
Choose the solution set represented by the following graph.
-6 -5 -4 -3 -2 -1
o
1
2
O XIXER, X<-2)
{XIXER,X > -2]
O XIXER, XS-2)
(XIXER X2-2)
Answer:
{x | x∈ R, x < -2}
Step-by-step explanation:
Given
See attachment for graph
Required
Determine the inequality
From the attachment, we can see that there is an open circle or -2.
This represents either < or >
Solving further:
The arrow points to the left of -2.
This means that the number line represents numbers less than -2. i.e. < -2
If the numbers are represented with x.
The inequality is: x < -2
So, we have: {x | x∈ R, x < -2}
CAN SOMEONE PLEAASSSEE HELP ME WITH THIS TRIGONOMETRIC FUNCTION PROBLEM? I AM REALLY STRUGGLING AND IT WOULD MEAN A LOT
Answer:
the sine Is 5/13
Step-by-step explanation:
use the trigonometric identity : sin^2+ cos^2 = 1
so the sine Is sqrt(1-(12/13)^2) = 5/13
sqrt means Square root btw
Simplify the expression please with step
[tex] \sqrt{13 - 4 \sqrt{3} } [/tex]
Answer:
[tex] \huge \boxed{ \boxed{ \red{2 \sqrt{3} - 1}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:redicalsimplifying redicalPEMDASgiven:[tex]\tt \sqrt{13-4\sqrt{3}}[/tex]to do:simplificationtips and formulas:(a-b)²=a²-2ab+b²√(a)²<=>|a|let's do:[tex]step - 1 : define [/tex]
[tex] \tt \sqrt{13 - 4 \sqrt{3} } [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \tt use \: the \: 1 \: formula : \\ \tt \sqrt{ 1 + 12 - 4 \sqrt{3} } \\ \tt \sqrt{1 - 4 \sqrt{3} + 12} \\ \tt \sqrt{ {(1)}^{2} - 2.1.2 \sqrt{3} + {(2 \sqrt{3}) }^{2} } \\ \sqrt{ \tt (1 - 2\sqrt{3} {)}^{2} } [/tex][tex] \tt use \: the \: 2 \: formula : \\ \tt |1 - 2\sqrt{3} | \\ \tt - (1 - 2 \sqrt{3} ) \\ - 1 + 2 \sqrt{3} \\ 2 \sqrt{3} - 1[/tex]-5x -4< 16 and X-4< -8
Can I get a step-by-step plz :)
Arriving at a general conclusion based on observations of specific examples is called
Answer: Inductive Reasoning
Step-by-step explanation: The process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.
MARK ME BRAINLIEST PLEASE PLEASE PLEASE!!!
c. (4 points) The p-value for this study is 0.0002. Provide an interpretation of this p-value
("the p-value is the probability that...)
Answer: yes
Step-by-step explanation:
Write a word description of the set.
{10, 11, 12, 13, ...}
What transformation is shown below?
reflection
can't be determined
rotation
translation
Answer:
The transformation show is a translation.
Step-by-step explanation:
It's not reflected because they are facing the same way.
It is not a rotation because they it was not being rotated.
Its a translation because it was moved over 4 spaces.
Select all of the expressions that are equivalent to 4 + w + 12w
Answer:
Step-by-step explanation:
the selections that are equivalent to 4 + w + 12:
1st and 3rd
Does the following graph display a function
Answer:
NO because it fails the vertical line test.
Step-by-step explanation:
When you do the VLT, it should only touch the figure once but if you the VLT it touches the figure twice.
Find the length of line AC. Use that length to find the length of line CD. What is the length of line CD? Round to the nearest tenth.
a. 2.3 cm
b. 4.0 cm
c. 10.7 cm
d. 18.6 cm
Answer:
C on edge 2021
Step-by-step explanation:
Talk about how you can use math in your everyday life after high school
Answer:
Math is used everywhere. When shopping and calculating your total cost, that is math, when calculating how much gas your car needs and how much it will cost, that is math, when you buy something using your credit card and you're trying to figure out the amount due, that is math. We use math almost every single day and after high school, we're probably going to use math for almost everything.
Please solve for y in this equation!
0.5y -2 2/5 = 1/2y +2.4
Answer:
No solution
Step-by-step explanation:
Move all the variables to one side and all the numbers to the other side.
0.5y-2*2/5=1/2y+2.4
-2*2/5=1/2y+2.4-0.5y
-2*2/5-2.4=0
thus there is no solution
find the slope of the line that passes through (1, 2) and (10, 6). mplify your answer and write it as a proper fraction, improper fraction, or integer.
Simplify #53: 3(x + 2) - 4x
Help please
Answer:
-x+6
Step-by-step explanation:
3(x+2)-4x
3x+6-4x
-x+6
Annika is painting a rectangular wall. She paints 1/2of the wall yellow. Then, she changes her mind and paints 1/4 of the yellow part blue. What
fraction of the wall does Annika paint blue?
Answer:
3/4
Step-by-step explanation:
(½-¼)+½=
¼+½=
¾
Nasa book po nmin yan
Multiply 7/16 x 2 2/7reduced to lowest terms
The product of the fraction reduced to the lowest term is 1
Product of fractionsFractions are written as a ratio of two integers. Given the products of fractions below
7/16 x 2 2/7
Convert mixed to improper
7/16 x 16/7
Take the product
7/16 x 16/7 = 7/7 * 16/16
7/16 x 2 2/7 = 1
Hence the product of the fraction reduced to the lowest term is 1
Learn more on product of fractions here: https://brainly.com/question/6109670
#SPJ1
Find any domain restrictions on the given rational equation 2/3x^2 + x/2 =x+5/x select all that apply a. X=0. B. X=2. C. X= -5. D. There are no restrictions on the domain
Answer:
A. 0
Step-by-step explanation:
Have an amazing day :)
Answer:
I can infact confirm that the answer is 0 (just 0)
Step-by-step explanation:
I just took the quiz, I hope this helped!! <3
A magnet cannot move which of the following objects?
toothpick
safety pin
nail
Answer:
Toothpick
Step-by-step explanation:
A toothpick is made out of a non-ferrous material such as wood, plastic, glass, aluminum etc.
Both the nail and the safety pin will be attracted to the magnet due to being made from ferrous materials such as iron and steel.
Hope this helps!
What additional information must be known to prove the triangles similar to SAS?
Answer:
Option A) is the right answer because for SAS property we need to verify that the sides are equal to each other in the triangles.