Answer:
Step 2Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
PLS HELP
A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in each bottle. Natalie buys the kind of laundry detergent that has 4 bottles. She uses 18 cup for each load of laundry she does.
How many loads of laundry can Natalie do with her bottle of laundry detergent?
Answer:
Step-by-step explanation:
18 × 4 = 72
The number of loads of laundry can Natalie do with her bottle of laundry detergent is A = 4/9
What is a line plot ?A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.
If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions
It displays information as a series of data points called 'markers' connected by straight line segments
Given data ,
A shelf has different sizes of bottles of laundry detergent. This line plot shows the number of cups of laundry detergent in each bottle.
Natalie buys the kind of laundry detergent that has 4 bottles.
She uses 18 cup for each load of laundry she does.
From the line plot , we can see that
4 cups = 8 volume
So , A = 8/18
Hence , the number of loads = 8 / 18
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please help as soon as possible
Will mark BRAINLIEST
Answer:
7 squared
Step-by-step explanation:
Exponential notation means that it has to include an exponent, so you can write 7x7 as 7 squared and it would be exponential notation.
Jane drove 325 miles in 5 hours. At the same rate, how many miles would she drive in 7 hours? miles
Answer:
455 miles
Step-by-step explanation:
Evaluate 12 − 6 + (14 − 8)2 = ____________. (1 point)
Answer:
18
Step-by-step explanation:
you do PEMDAS
there is parenthesis
12-6+6 times 2
there is multiplication
12-6+12
then there is subtraction and addition so you have to do it left to right
18
Answer:
18
Step-by-step explanation:
When solving these types of questions, you want to remember PEMDAS. According to PEMDAS, P is parenthesis. (14-8) is in parenthesis. 14-8 is 6.
Now the equation looks like this:
12-6 + (6)2
There are no Exponents in this equation, but there is multiplication. If there are no operations between two integers, that means it is likely to be multiplication. 6 x 2 is 12.
Now the equation looks like this:
12-6+ 12
Even though, according to PEMDAS, Addition is before subtraction, you can do either one from left to right. Even with multplication and division.
Now the equation looks like this:
6+12
Obviously 6+12 is 18. So, 18 is the answer.
If a circle has a circumference of 81.64 cm, what is the radius?
Answer:
c = Circumference=pid= 81.64 To find the radius of a circle you can just divide the diameter by 2.
pi = 3.14
d = diameter=c/3.14 Pi is always 3.14 or 22/7.
d = 81.64/3.14
d = 26
r= radius= 26/2
radius=13 cm
Step-by-step explanation:
Can someone please help what would the chord, radius , diameter and secant be
Answer:
DB is a chord, CG is the radius, AB is the diameter, and MN is a secant.
Answer:
see below
Step-by-step explanation:
The diameter goes from one side to the other passing through the middle
AB is the diameter
Radius goes from one side to the middle
AC or BC is the radius
The chord connects two points on the circles edge
BD AB are chords
Secant is a line that intersects the circle at two points
MN is the secant
Someone help me I really need it I really need it
Answer:
168in
Step-by-step explanation:
Analyzing a Claim
Is Miguel's claim correct?
The two-way table shows the distribution of book style to
genre. Miguel claims that given that the book is
paperback (PB) does not affect the outcome that the
book is nonfiction (NF).
Fiction
Nonfiction Total
O Yes, the two events are independent because
P(NFPB) = P(NF).
O Yes, the two events are independent because
P(PBINF) = P(NF).
O No, the two events are not independent because
P(PB|NF) # P(PB)
O No, the two events are not independent because
P(PB|NF) + P(NF).
Paperback
20
60
80
Hardcover
10
30
40
Total
30
90
120
Answer:
Yes, the two events are independent because P(NF | PB) = P(NF)
Step-by-step explanation:
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
add or subtract (m^2-m-4)+(m-5)
---------------------------------------------------------
(m^2-m-4)+(m+5)
Remove parentheses:
m^2-m-4 + m+5
Group like terms:
m^2-m+m-4+5
Add similar elements:
m^2-4+5
Add/subtract the numbers:
m^2+1
Your Answer Is m^2+1
plz mark me as brainliest if this helped :)
Answer:
[tex]m^{2} -9[/tex]
Step-by-step explanation:
add the subtracted 4 and 5
Hi again! I need help with another question. "What is a possible third side to a triangle with side lengths of 14 and 5?
A. 9
B. 8
C. 5
D. 12"
Answer:
D
Step-by-step explanation:
Remember that the sum of any 2 sides of a triangle always must be greater than the length of the third side.
A. 9 + 5 = 14 so NO
B. 8 + 5 = 13 which is less than 14 so NO
C. 5 + 5 = 10 which is less than 14 so NO
D. 12 + 5 = 16 which is greater than 14.
12 + 5 > 14
14 + 12 > 5
5 + 14 > 12
It works for all 3. That means the answer is D.
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
Answer:
a is the correct answer in e2020
Step-by-step explanation:
Based on the calculations, the row operation (-2R₁ + R₂ → R₂) is equal to:[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
How to determine a row operation?First of all, we would write a matrix to represent the number of tickets sold and the total cost of the tickets for three performances as follows:
[tex]\left[\begin{array}{cccc}3&12&8&102\\6&10&6&102\\0&15&5&85\end{array}\right][/tex]
Next, we would perform this row operation (-2R₁ + R₂ → R₂):
[tex]\left[\begin{array}{cccc}3&12&8&102\\(-2\times 3+6)&-2\times 12+18)&-2\times 6+6)&-2\times 102+162)\\0&15&5&85\end{array}\right][/tex]
Evaluating further, we have:
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
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Complete Question:
The drama club at a local high school sells adult, teen, and child tickets for a school play. The matrix below represents the tickets sold and the total cost of the tickets for three performances.
[tex]\left[\begin{array}{cccc}3&12&8&102\\0&-6&-6&-42\\0&15&5&85\end{array}\right][/tex]
What is the result of performing the row operation (-2R₁ + R₂ → R₂) on this matrix?
Which expression is equivalent to
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation?
n+ (n + 6) = 24, where n is the number of yellow marbles
n + 6 = 24, where n is the number of yellow marbles
n + 6 = 24, where n is the number of blue marbles
n+ (n + 6) = 24, where n is the number of blue marbles
Answer:
D
Step-by-step explanation:
Answer:
n+ (n + 6) = 24
Step-by-step explanation:
PLEASEE ANSWER I'LL MARK U BRAINLIEST IF U DO!!!!!!!!!!!!!
Answer:
but i would say t t f t
Step-by-step explanation:
Are u wrong or right
When Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second . If Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number ?
Answer:
87% would be faster than 58 seconds
Step-by-step explanation:
Landon runs the 400 meter dash, his finishing times are normally distributed with a mean of 60 seconds and a standard deviation of 1 second
[tex]\mu = 60[/tex]
Standard deviation =[tex]\sigma = 1[/tex]
We are supposed to find Landon were to 38 practice trials of the 400 meter dash , how many of those trials would be faster than 58 seconds , to the nearest whole number i.eP(x<58)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{58-60}{1}\\Z=-2[/tex]
Refer the z table for p value
P(x<58)=0.0228
Landon were to 38 practice trials
So, P(x<58)=[tex]38 \times 0.0228=0.8664[/tex]
So, 86.64% would be faster than 58 seconds
Hence 87% would be faster than 58 seconds
inverse operation for 20n=300
Answer:
n=15
Step-by-step explanation:
20n=300
divide by 20 on both sides
20n/20=n
300/20=15
n=15
If 22x = 23, what is the value of x?
2/3
3/2
2
3
Answer:
[tex]x = \frac{23}{22} [/tex]
Step-by-step explanation:
[tex]22x = 23 \\ \frac{22x}{22} = \frac{23}{22} \\ x = \frac{23}{22} [/tex]
Answer:
x = 23/22 = 1.045
Step-by-step explanation:
Solving a Single Variable Equation :
1.1 Solve : 22x-23 = 0
Add 23 to both sides of the equation :
22x = 23
Divide both sides of the equation by 22:
x = 23/22 = 1.045
What is the area of a rectangle with vertices at (7,3), (12,3), (12, 11), and (7,
11)?
O A. 26 units
O B. 40 units2
O c. 45 units2
O D. 20 units2
Answer: 40 units
Step-by-step explanation:
(7,3) (12,3) on the same y coordinate, 5 squares apart
(12,3) (12,11) on the same x coordinate, 8 squares apart
8 × 5 = 40
The area of a rectangle with vertices at (7,3), (12,3), (12, 11), and (7,11) is 40 square unit.
What are Coordinates?A brace of figures called equals are used to detect a point or a form in a two- dimensional aeroplane . Thex-coordinate and the y- match are two figures that define a point's position on a 2D aeroplane .
We have vertices of rectangle as
vertices at (7,3), (12,3), (12, 11), and (7, 11).
Now, the coordinates (7,3) and (12,3) have the same y coordinate also the difference in x match is 5 places piecemeal.
and, (12,3) and (12,11) have the same x coordinate then the difference in y coordinate is 8 squares apart.
So, the Area of rectangle
= 8 × 5
= 40 square unit
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Ashley car insurance cost $115 per month, how much does it cost per year
Answer:1380
Step-by-step explanation:
its because theres 12 months in a year and its 115 dollar and 115x12 is 1380
Answer:
It costs Ashley $1,380 per year
Step-by-step explanation:
$115 x 12 months
= $1,380
Plz hurry (Inequalities)
Answer:
its 6
Step-by-step explanation:
The answer is 6 because inequality means -Inequality (mathematics), a relation between two values when they are different.
Answer:
Step-by-step explanation:
-7
What is the lateral surface area of a cone that has a slant height 17 inches and a diameter of 13 inches? 107.5
Answer:
c.s.a of cone = pie r^2 + pie r l
radius = diameter/2 = 13/2
slant height (l) = 17
pie (13/2)^2 + pie 13/2 * 17
3.14 * 169/4 * 3.14 * 13/2 * 17
368246/8
= 46030
Point c maps to which point ??
Answer:
G ( I think)
Step-by-step explanation:
It's a reflection of it's self, so the only reasonable answer would be the the letter of the copied image of itself.
Think about it like a mirror. One side is what you see, but what is facing it is the original, so if the original is C then its copy is G.
help. me. please. thank. you
Answer:
10
Step-by-step explanation:
do 64/2 which is 32 and subtract 32-22 to get 10
So the right answer is 220mm^2.
look at the attached picture
Hope it will help you....
(◕ᴗ◕✿)
simplyfy 8x^4y^5 times 10xy^3
Answer:
[tex]80x^5y^8[/tex]
Step-by-step explanation:
[tex]8x^4y^5\times 10xy^3=\\\\(8\times 10) \times (x^4\times x)\times (y^5\times y^3)=\\\\80x^5y^8[/tex]
Hope this helps!
Answer:
80x^5y^8
Step-by-step explanation:
10 times 8= 80 and when you multiply with exponents on a variable they combine so x times x^4= x^5, and y^5 time y^3= y^8
Pls help me on this rq
Answer:
(+,-)
Step-by-step explanation:
On the x axis it is negative and on the y axis it is positive
hope this helps!!!
Determine the value of x
Answer:
80⁰
Step-by-step explanation:
x = sum of alternate angles
x = 50 + 30
x = 80⁰
The phrase "as usual" is repeated several times. What is the effect of this repetition?
Answer: HOPE THIS HELPS YOU! :D :P ;)
The first blank is “regular routine”
the second blank is “behaves in a predictable way”
Step-by-step explanation:
It makes the most sense if you read the passage multiple times.
i did this in iready lol it’s 100% correct :D
The literary device known as repetition is used to emphasize the same concept or idea or to communicate a particular message by repeatedly using it.
What is repetition?Although repetition typically relates to sentences or words, it can also be present in the sounds that words make. There are three different techniques to show repeat with noise. Consonance, harmony, starting, and alliteration are the names of these three literary devices.
The term "as usual" is repeated in this situation to emphasize how nothing exceptional was going on; it was just the block bash as usual. The predictability demonstrates that everyone's attitudes and behaviors were uniform and fairly predictable. That is wanted to predict the neighborhood and how they act in a certain way
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If RS = 30 degrees, then m
Answer: 30degrees
Step-by-step explanation:
a car rental company rents vehicles to groups one group rented 5 vans and 2 cars to fit 70 people another group rented 3 vans and 4 cars to fit 56 people each vehicle was completely filled how many people fit in a van how many people fit in a car
Answer:
12 people fit in a van, 5 fit in a car
Step-by-step explanation:
v is people in a van, c is people in a car
5v+2c=70
3v+4c=56
5v+2c=70
2c=70-5v
c=35-2.5v
now use substitution to plug in c
3v+4(35-2.5v)=56
3v+140-10v=56
140-7v=56
-7v=-84
v=12
now we know v, plug it in to find c
5(12)+2c=70
60+2c=70
2c=10
c=5
12 people fit in a van, 5 fit in a car
find the area!!! 10 points!!!
Answer:
A =112.1 in ^2
Step-by-step explanation:
The area is base times height
A =bh
A = 11.8 * 9.5
A =112.1 in ^2