Answer:
b
Step-by-step explanation:
The number that should be added to the equation is n = ( 3/2 )²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial
First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.
To complete the square, we add this value to both sides of the equation:
x² + 3x + 9/4 = 6 + 9/4
The left-hand side can now be factored as a perfect square trinomial:
(x + 3/2)² = 33/4
To solve for x, we take the square root of both sides:
x + 3/2 = ±√(33/4)
x = -3/2 ± (1/2)√33
Hence , the number we need to add to both sides of the equation to complete the square is 9/4
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ3
Which polygon is a hexagon? A 5-sided figure. A 6-sided figure. An 8-sided figure. A 7-sided figure.
Answer:
6-Sided Figure.
Step-by-step explanation:
A 6 - sided figure is called a Hexagon.
What is Line segment?
A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.
Given that;
The polygon is a Hexagon.
Now,
Since, A hexagon is made up with 6 - sided.
And, A polygon is called a Hexagon when it has 6 sides, 6 angles and 6 vertices.
Thus, A 6 - sided figure is called a Hexagon.
Learn more about the hexagon visit:
https://brainly.com/question/15424654
#SPJ2
Which of the following can be used to evaluate the series 224)***,
Answer:
442
Step-by-step explanation:
Which equation of a line has a slope of −2 and a y-intercept of (0,8)?
Answer:
y = -2x + 8
Step-by-step explanation:
Irina wants to tile her floor using the translation shown
below. Which is the rule for this translation?
6
O T-3, 2(x, y)
O T2, -3(x, y)
O T3, 2(x, y)
OT-2,3(x, y)
B
5 6
X
-6
D
IB
B
C
The translation rule of the tile floor is T -3,2 (x,y)
How to determine the translation rule?From the complete question, the tile floor is shifted left by 3 units, and shifted up by 2 units.
This is represented as:
(x,y) -> (x - 3, y + 2)
This can also be written as:
T -3,2 (x,y)
Hence, the translation rule is T -3,2 (x,y)
Read more about translation at:
https://brainly.com/question/4289712
Answer:
A: T-3, 2(x, y)
Step-by-step explanation:
27^x=1/9 find the value of x with steps
Answer:
x = -2/3
Step-by-step explanation:
27^x=1/9
writing 27 as 3^3 and 1/9 as 3 ^-2
3^3^x = 3^-2
We know that a^b^c =a^(b*c)
3^(3x) = 3^-2
Since the bases are the same the exponents need to be the same
3x = -2
x = -2/3
Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation. What is the scale factor of the dilation?
1/3
3
4
1/4
Answer: 4
Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4
The scale factor for the given dilation is 3
What is Dilation?Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.
If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as : (x, y) → (k x, k y).
The scale factor ,k = coordinate of image / coordinate of original
Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure
Scale Factor = coordinate of image / coordinate of original
= OA' / OA = 9/3 = 3
Therefore, the scale factor for the given dilation is 3.
Also, Learn more about dilation from the link given below:
https://brainly.com/question/17062921
#SPJ5
Suppose you are playing Rock, Paper, Scissors. Once you choose what you want to throw , you roll a 6 sided die. How many options exist in your sample space?
Answer:
18, if im correct...
Step-by-step explanation:
I'm pretty sure you would multiply the 6 options (for each die side) by the 3 options (rock, paper, or scissors) together.
so 6*3=18
usain bolt ran the 2012 olympic 100-meter race in 9.63 seconds. if he runs at this rate on a road wait a speed limit of 25 miles per hour, how will his speed compare to the speed limit? justify your answer.(25 mi/hr=40,234 meter/hr)
Answer:
Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour.
Step-by-step explanation:
Usain Bolt runs about 37,383 meters an hour so he will not exceed the speed limit but will run at about 23 miles per hour. We get this from 3600 seconds in an hour, 3600÷9.63×100≈37383 meters an hour. 1609.344 meters in a mile. 37383÷1609.344≈23 mph
Answer:Sample Response: The speed limit is about 11.2 meters per second. Usain is running 10.38 meters per second. So he is running slower than the speed limit.
Step-by-step explanation:Need brainliest award
Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?
Answer:
Gordon: 16 pounds
Henry: 24 pounds
Sarah: 8 pounds
Step-by-step explanation:
Number of parts: 3+2+1 = 6
Amount per part: 48/6 = 8
Now Each person gets:
Gordon: 8 x 2 = 16 pounds
Henry: 8 x 3 = 24 pounds
Sarah:8 x 1= 8 pounds
Hope this helps.
Good Luck
Answer:
Gordon $16
Henry$24
Sarah$8
Step-by-step explanation:
You add the ratio 2+3+1= 6
Then you take everyone ratio according to how their names are arranged over 6 then you get the answer
Gordon2/6×48= 16
Henry3/6×48= 24
Sarah1/6×48= 8
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
Answer:
Area = 370 m²
Cost to paint = £105
Step-by-step explanation:
Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between these sides.
Area of trapezoid (1) = [tex]\frac{1}{2}(11+12)\times 6[/tex]
= 69 m²
Area of the rectangle (2) = Length × Width
= 12 × 15
= 180 m²
Area of the trapezoid (3) = [tex]\frac{1}{2}(12+10)\times 11[/tex]
= 121 m²
Now area of the wall = 69 + 180 + 121
= 370 m²
One tin covers the area = 25 m²
Number of tins required to paint the wall = [tex]\frac{\text{Total area}}{\text{Area covered by one tin}}[/tex]
= [tex]\frac{370}{25}[/tex]
= 14.8
Therefore, number of tins to be purchased = 15
Cost to paint the complete wall = 15 × £7
= £105
10. A school is trying to schedule periods of Chemistry and Algebra II.
They find that a total of 386 students are taking either one or both of
the two courses. If 298 students signed up for Algebra II and 328 have
signed up for Chemistry, what would be the probability that a student
chosen at random from the 386 will be signed up for both of the
courses? Round your answer to the nearest whole number percent.
Answer:
~62%
Step-by-step explanation:
Let n(A) be the number of students signed up for Algebra II.
Given that n(A) = 298
Let n(B) be the number of students signed up for Chemistry.
Given that n(B) = 328
n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.
n(A [tex]\cup[/tex] B) = 386
Formula for n(A [tex]\cup[/tex] B):
n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)
Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.
Putting the values in the formula above:
386 = 298 + 328 - n(A [tex]\cap[/tex] B)
n(A [tex]\cap[/tex] B) = 240
Formula for Probability of an event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]
[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]
Hence, the required probability is ~62%
The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Calculation of the probability:
Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry
So here the no of students that signed up for both subjects should be
= 298 + 328 - 386
= 240
Now the probability is
[tex]= 240\div 386[/tex]
= 62%
Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Learn more about probability here: https://brainly.com/question/16923992
Two boxes have the same volume. One box has a base that is 222 inches by 222 inches. The other box has a base that is 444 inches by 444 inches.
How many times as tall is the box with the smaller base?
Answer:
2 times
Step-by-step explanation:
1. The length of a rectangle is 10. The perimeter is 28. Find the area of the rectangle.
PLZZ ANSWER!
The right answer is 40
please see the attached picture for full solution
Hope it helps
Good luck on your assignment......
You roll a fair 6-sided die what is the probability of rolling a number grader than 4?
Answer:
2/6 or 1/3
Step-by-step explanation:
5, and 6 is greater than 4 if the total is 6 then its 2/6 since there are only two numbers that are greater than 4
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are 2 numbers on the dice greater than 4. 5 and 6.
[tex]\frac{6-4}{6}[/tex]
[tex]\frac{2}{6}[/tex] [tex]= 1/3[/tex]
Find the perimeter and the area of the composite shape..
Answer:
area- 36.07 cm^2
perimeter- 28cm
Step-by-step explanation:
1) we could break the composite shape into 2 seperate shapes:
1 shape- measuring 3.1 by 3.4 cm
2nd shape- measuring (3.1)+(3.8)cm by 3.7 cm
since both shapes are rectangles we can find area by multiplying length and width
so 3.1*3.4=10.54
and 3.1+3.8=6.9
6.9*3.7=25.53
we can add both areas up to get TOTAL area of figure:
25.53+10.54=36.07
area- 36.07 cm
to find perimeter: there are 2 unknown sides in this figure, the bottom side length can be found out by adding 3.1 and 3.8, which is 6.9 and the side adjacent to the bottom one can be found by adding 3.4 and 3.7, which is 7.1
now we add up all the numbers: 3.1+3.4+3.8+3.7+6.9+7.1= 28
28 cm
i dont understand and i would like some help understanding this -4(y-6) ≤ (-9+y)(-2)
Answer:
Y greater than or equal to 6
Step-by-step explanation:
I can't do the sign so I just said it
Combine like terms
Answer:
Y Greater Than Or Equal To Number 6
Hopes This Helps
A baker is decorating the top of a round cake with cherries. The diameter of the cake is 9.5 inches. Each cherry is 0.75 inches in diameter. About how many cherries will the baker need to decorate the circumference of the top of the cake? *
Answer:
A= 78.5 sq. in
Step-by-step explanation:
Step by step
1: A = pi * r^2
2: A = 3.14 * 25
In words.
1: Times the pi by r^2
2: The answer will come out as 3.14
3: Times the Answer that is 3.14 by 25
Answer: A= 78.5 sq. in
Hope this helps.
Simplify the expression: (12a−1b6c−3) / (4 a5b−1c5) NEED ANSWER IMMEDIATELY PLEASE
Answer:
Step-by-step explanation:
[tex]\frac{(12a - 6bc - 3)}{20ab-5c)} \\\\\frac{3 . (4a - 2bc - 1)}{5 . (4ab - c)}\\\\[/tex]
Assignment
Active
Relating a Real-World Situation to a Table
Which table represents the relationship "A 747 jumbo jet has a cruising speed of 550 miles per hour"?
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
550
1
1
551
1
550
2
552
1,100
2
1.100
2.
1,650
3
3
3
553
1.650
Answer:
C.
Step-by-step explanation:edge2020
Answer:
i said c yea it is
Step-by-step explanation:
Rewrite the expression in the form k x z^n.
[tex]10 \sqrt[3]{z} \div {2z}^{2} [/tex]
Answer: 5z^(-5/3)
Step-by-step explanation:
Given the expression above, rewrite in the form k × z^n
(10 × (z)^1/3) ÷ 2z^2
(10z^1/3) ÷ (2z^2)
10/2(z^(1/3 - 2))
5z^(-5/3)
look at the picture below please
Answer:
1.73205080757 4.58257569496 7.87400787401Solve for c.
-64 ≥ -103 - C
Answer:
-39 is less than or equal to C
Step-by-step explanation:
39 is greater or equal to -C
-39 is less than or equal to C
please help and i will give you brainliest answer
Answer:
C=43.988cm
Step-by-step explanation:
r=d/2=14cm/2=7cm
C=2πr
C=2×3.142×7cm
C=6.284×7cm
C=43.988cm
10 points
Тур
Ricardo buys at least 8.5 but no more than 11
gallons of gas each week. The price of gas has
ranged from $2.40 to $2.65 per gallon each
week.
Answer:
Here we have two inequalities.
P is price of the gallon,we have that:
$2.40 ≤ P ≤ $2.65
C is the amount of gallons that Ricardo buys each week.
8,5 ≤ C ≤ 11
Now, with this you can find the maximum and minimum amount that he can spend on a week.
The minimum is when he buys only 8.5 gallons and the price per gallon is $2.40
Cost = 8.5*$2.40 = $20.4
The maximum cost is when he buys 11 gallons, and the price of the gallon is $2.65
Cost = 11*$2.65 = $29.15
So the amount that he spends per week in gas, S, is:
$20.4 ≤ S ≤ $29.15
What is the range of the given function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.
Answer:
Step-by-step explanation:
x= -5,1,4,6 y=9,0,-7,-1
the range of a given function equals to the value of y in order
range = -7,-1,0,9
Solve for t.
–17t = –9(3t + 17) − 7
t =
Answer:
t = -16
Step-by-step explanation:
→Distribute the -9 to (3t + 17):
-17t = -9(3t + 17) - 7
-17t = -27t - 153 - 7
→Add like terms:
-17t = -27t - 160
→Add 27t to both sides:
10t = -160
→Divide both sides by 10:
t = -16
Answer:
[tex] \boxed{t = - 16} [/tex]
Step-by-step explanation:
[tex] = > - 17t = - 9(3t + 17) - 7 \\ \\ = > - 17t = - (9 \times 3t) - (9 \times 17) - 7 \\ \\ = > - 17t = - 27t - 153 - 7 \\ \\ = > - 17t = - 27t - 160 \\ \\ = > - 17t + 27t = - 160 \\ \\ = > 10t = - 160 \\ \\ = > t = - \frac{160}{10} \\ \\ = > t = - 16[/tex]
An American motor company is releasing a new car model. There will be 2 body styles (2 or 4 door) from which to choose. They also offer 3 interior packages (deluxe, luxury, or special edition) and an option of 2 drive trains (front-wheel or four-wheel drive). If a local dealer wanted one of each possible model on her sales lot, how many cars would she need to order?
Answer:
She needs to order 12 cars
Step-by-step explanation:
To find the total number of models, we just need to multiply the number of options for each choice:
body style: 2 options
interior package: 3 options
drive train: 2 options
So the number of different models is:
2 * 3 * 2 = 12 different models
So in order to have all the possible models, she needs to order 12 cars.
If C(5,-5) and D(7,3) then what is the length of CD? Round to the nearest tenth
the right answer is √68 units...
please see attached picture for full solution
hope it helps
good luck on your assignment
Stay safe
Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees. What is the measure of angle COA? 140° 150° 160° 170°
Answer:
Its 160 on ED
Step-by-step explanation:
Based on the angle-arc relationship, the measure of angle COA is: C. 160°.
What is the Angle-Arc Relationship?The angle-arc relationship relates the measure of an inscribed angle to its central angle, such that the central angle is twice the measure of the intercepted arc.
Given:
m∠CBA = 80° (intercepted arc)m∠COA = ?° (central angle)Therefore:
m∠COA = 2(m∠CBA)
Substitute
m∠COA = 2(80°)
m∠COA = 160°
Therefore, based on the angle-arc relationship, the measure of angle COA is: C. 160°.
Learn more about angle-arc relationship on:
https://brainly.com/question/25889947
the perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.
Write and solve an equation to find the measurement of one side of the stop sign n.
Answer: The equation can be written as 8n = 99.2.
Step-by-step explanation:
In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.
A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.
Hence, the answer can be represented as 8n = 99.2.