Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32
Answers
Answer: 2 one number 2
Step-by-step explanation:
It's is number 2
The required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression, (4y - 3)² = 72
Simplifying the above expression:
(4y - 3)² = 72
4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4
Thus, the required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
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Related Questions
The difference of y and 8.1 is 20.
Flnd the value of y.
Answers
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1What does bc equal ?
Answers
Answer:
180
Step-by-step explanation:
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answers
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
Passes through (8,8) and (10,9)
Plz help need answer ASAP
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
Answers
:)3/100 is the correct answer
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
Answers
A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answers
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles
1. 100= 125x^2 find x using logarithms
Answers
Answer:
Step-by-step explanation:
Answer:
x =2√55,−2√55
Decimal Form: x=0.89442719…,−0.89442719…
Step-by-step explanation:
Given g(x) = -
—x – 2, find g(-3).
Answers
Answer:
1
Step-by-step explanation:
negative times negative is positive so that would make it 3-2 which is 1.
The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle
Answers
answer:
p=2(l+w)
150=2.5+w
150=10w
150/10=w
15=w
ASAP can someone help and explain this to me
Answers
Answer:
[tex]d = 15.0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point C (7, -4)
Point D (-8, -5)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(-8-7)^2+(-5+4)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-15)^2+(-1)^2}[/tex]Exponents: [tex]d = \sqrt{225+1}[/tex]Add: [tex]d = \sqrt{226}[/tex]Evaluate: [tex]d = 15.0333[/tex]Round: [tex]d = 15.0[/tex]help me plz (geometry)
Answers
Answer:
I’m pretty sure it’s A
(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2
Answers
Answer:
B. 250 in²Step-by-step explanation:
Dimensions of the picture:
5 in and 8 inArea of the picture:
5*8 = 40 in²Scale factor = 2.5
Enlarged picture's area:
40*2.5*2.5 = 250 in² (scale factor affects both dimensions)Option B is correct
The area of the picture after it is enlarged is 250 inches².
Given that,
The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture.
Based on the above information, the calculation is as follows:
Here, the dimensions of the picture are 5 in and 8 in
Hence, the area of the picture is,
5 × 8 = 40 in²
Since, Scale factor = 2.5
So, the enlarged picture's area would be,
40 × 2.5 ×2.5
= 250 in²
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Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
Answers
Answer:
Solution in photo
Step-by-step explanation:
What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.
Answers
Answer:
I think is The little (D) -12.4.
Which company has the highest charge per attendee?
Answers
Step-by-step explanation:
As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.
So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answers
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answers
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
the sum of 1 and y is greater than or equal to 3 .
Answers
Inequality Answer: 1 + y ≥ 3
I hope this helps, and Happy Holidays! :)
In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answers
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
Someone help ill mark brainless
Answers
Answer:
b) 18
Step-by-step explanation:
Plug in 25 for x in the equation.
ie: y=.9(25)-4.5
Then solve using a calculator.
The answer should be 18
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answers
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answers
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.
Answers
How do you know from a graph if a relationship is a direct variation?
Answers
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
Which equation justifies why 7^1/3 = 3 square root 7?
Answers
Answer:
c
Step-by-step explanation:
I took the test and got it right
The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.
C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.
Let's break down the steps:
Seven to the one-third power all raised to the third power:
[tex](7^{(1/3)})^3[/tex]
Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:
[tex]7^{(1/3 * 3)[/tex]
The exponent 1/3 multiplied by 3 is equal to 1:
[tex]7^1[/tex]
Any number raised to the power of 1 is itself, so:
7
This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.
Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.
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in the recent year, 51.9 billion cans were recycled. About how many cans per this week
Answers
Can someone help me with letter D?
Answers
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answers
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math
Answers
Answer:
A. the median number of hours spent on Math was about 2.9
Step-by-step explanation:
The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.
The given box plot shows the number of hours students have spent on math this week.
How to find the median in the box plot?The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.
Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The vertical line represents the median, which is 2.9.
Therefore, option A is the correct answer.
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