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
Answers
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]
Related Questions
what is the answer to 25=9y+3=
Answers
Answer:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
Transposing (9) to L.H.S.:
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
Answer:
y=2.44......
Step-by-step explanation:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
agenthammerx Please help me on this I beg you
Answers
Answer:
48°∠Y ≅ ∠XStep-by-step explanation:
Question 1Prove that The two triangles are congruent
∠ABD ≅ ∠BDC - givenBD ≅ DB - reflexive property∠ADB ≅ ∠CBD - givenΔABD ≅ ΔCDB - ASA postulateFind the measure of angle C
∠A ≅ ∠C - Corresponding parts of congruent trianglesm∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°Question 2Given
ΔXYZ with XZ ≅ YZOpposite angles are corresponding to the sides.
Therefore the angles opposite to congruent sides are also congruent:
∠Y ≅ ∠X9 × 2(3 + 5) – (10 × 12) = y
Answers
i need the selling price pls ty.
Answers
Answer:
Discount: 26,82
Selling price: 122,18
Tanya wants to wrap the box
shown. The wrapping paper
costs $0.15 per square foot.
How much will the decorative
paper cost?
3 in
5 in
9 in
026 10
Answers
Can yall help me with the right answer
Answers
Answer:
7⁴, seven to the fourth power, and 7×7×7×7 all are equivalent.
Answer:
7^4, 7 to the fourth power, and 7*7*7*7
Step-by-step explanation:
7^4, 7 to the fourth power, and 7*7*7*7 all equal 2,401.
4 to the seventh power equals 16,384.
And 28 does not equal 2,400.
Translate the verbal phrase below to an inequality statement:
The opposite of 10 is greater than the sum of twice a number and 5.
Answers
Refer to the Exhibit Student Grades. The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answers
This question is incomplete, the complete question is;
Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.
The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answer:
the minimum score needed to receive a grade of A is 88.51
Step-by-step explanation:
Given the data in the question;
Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.
so, The professor has informed the class that 7.93 percent of her students received grades of A
the minimum score needed to receive a grade of A will be:
P( X > x ) = 7.93 %
P( X > x ) = 0.0793
1 - P( X ≤ x ) = 0.0793
- P( X ≤ x ) = 0.0793 - 1
- P( X ≤ x ) = - 0.9207
P( X ≤ x ) = 0.9207
⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207
so, x-μ/σ = InvNormal( 0.9207 )
x-μ/σ = 1.41
(x - 73) / 11 = 1.41
(x - 73) = 1.41 × 11
(x - 73) = 15.51
x = 15.51 + 73
x = 88.51
Therefore, the minimum score needed to receive a grade of A is 88.51
The product of two consecutive integers is 23 more than seven times their sum. Find the integers.
Answers
Answer:
3 is the answer
Step-by-step explanation:
#carryonlearning
2x+3y=5×-y missing value
Answers
Answer:
y= 5/3 - 2x/3
Step-by-step explanation:
a biologist analyzes 15 bacteria samples each day a. complete the table
Answers
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
What is the ratio and percent of the rectangle below is shaded
Answers
Answer:
choice C) 1:3 and 33 1/3%
Step-by-step explanation:
Answer:
I think it's C
Step-by-step explanation:
cause 4/12 is 1:3
Cumulative Frequency (C.F)
a- The fraction or percentage of
observation below the upper
boundary of each successive
interval.
b- The absolute frequency divided
by the total number of observation.
C-Its obtained by adding relative
Frequency
d-b and c
e-a and c
f-all of the above.
Answers
Answer:
number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)
Step-by-step explanation:
If you're given the points:
(4, 10) (8,9)
What are your y1, and y2?
A. y1= 9; y2= 10
B. y1= 4; y2= 8
C. y1= 10; y2= 9
D. y1= 8; y2= 4
Answers
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The circumference is 615.44.
The formula is
R = C/(pi)*2
( 2 is square)
( I can't find the pi symbol sorry)
So meaning in simple term, it would look like this
R = 615.44/2*(3.14)
615.44/6.28
then we divide which we will get 98
ANSWER: 98
I arrive at 5:52 and play for 1 hour and 12 mins. What time do I stop playing?
Answers
Answer:
7:04 p.m.
Step-by-step explanation:
Answer:
7:04
Step-by-step explanation
12-8 + 4
5:52 + 0:08 = 6:00
6:00 + 1:00 + 7:00
7:00 + 0.04 = 7:04
Graph the solution of the inequality -x+y > 2
Answers
Answer:
Included in the picture attached
Step-by-step explanation:
Desmos graphing calculator
Help plz I’m suck at math
Answers
Because it’s a coordinate that’s on the slope
help me me need help me me me me me
Answers
Answer:
The last answer D.
Step-by-step explanation:
There is a short trick that I just used to answer this question, all you have to do is add 12 plus 5 to see how many 1/12ths you would have and then add up all the answer options until you get to 17, and the only one that does is the last one, D.
Hope this helps :)
The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the rectangle? Round your answer to the nearest tenth. 15 7 X
Answers
Rewrite each of the following as equivalent expressions without the use of negative or zero exponents
Remember your order of operations
Answers
Answer:
Step-by-step explanation:
1/5³
1
1/2⁵
4
1
y⁴/x²
pleased help meeeeeeeee
Answers
12.1 times 17.6 what is the area
Answers
Answer:
The answer I got was 532.4 on the calculator
Step-by-step explanation:
Answer:
532.4
Step-by-step explanation:
Preston drove 115 miles and used up 6
gallons of gas. How many milea can he
drive with 14 gallons of gas?
Hurrry please
Answers
Answer:
269gallons
Step-by-step explanation:
115/6=19.16
19.16*14=268.33 or round up to 269
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
Answers
Answer:
The sweater cost 30 dollars.
Step-by-step explanation:
Set up a proportion
x/510 = 250/4250 Multiply both sides by 510
x = 250 * 510/4250 multiply 250 * 510
x = 127500 / 4250 Divide by 4250
x = 30
try filling out the table.
4250 250 dollars
425 25 dollars
425/25 1 dollar
17 1 dollar
17*3 3 dollars
51 3 dollars
51*10 30 dollars
510 30 dollars.
Adding (4-7i)+(-11+9i)
Answers
your answer is -7+16i, because 4-11=-7 and 7i+9i is 16i
Mrs. Garcia is painting a portion of her wall as shown.
What is the area of the wall she will paint?
If one quart of paint covers 25 square feet, how many
quarts will she need to buy? [paint x area]
Answers
Answer:
Step-by-step explanation:
can somebody help? :(
Answers
Answer:
What is the question??????????
A shopkeeper sold a dressing table for 7512.75 at a profit of 19*1/4% What was the cost price.
Answers
=7512.75×(100÷119.25)
=6300
c.p=6300
The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much money Nate spent?
3(14+19)
3(14x19)
6(7+57)
6(7x57)
Answers
Answer:
3(14+19)
Step-by-step explanation:
you have to distribute the 3, so multiply it by both the 14 and the 19.