322000 meters
that should be your answer
NEED DONE ASAP!!
Lupita completed the square to solve the equation 0 = x2 - 6x +13 as follows.
Lupita made a mistake. In which step did the error occur and what was the error? Finally
complete the problem with the mistake fixed and give the solutions to the equation.
The solution to the equation is x = ±[tex]\sqrt{2}[/tex]i +3
What is a quadratic equation ?A quadratic equation is an algebraic equation which has highest degree of 2 and it has 2 roots.
In the given question
x² - 6x +13 = 0
x² - 2.x.b + 13 = 0 (-2.x.b = -6x ↔ b = 3)
(x - 3)² + 13 = 9 ( we have added 9 on r.h.s
because b² = 9 is added on l.h.s)
(x-3)² = -4
x - 3 = ±[tex]\sqrt{2}[/tex]i
x = ±[tex]\sqrt{2}[/tex]i +3
She made a mistake in the second step she should have added +9 on the right hand side because we have an additional 9 on the left hand side because of the perfect square we have made to make both sides balanced.
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Pls Answer This Ill Rate 3 stars and giva a thanks if u answer and btw this is a 15 point questions PLS ANSWER I BEG
the answer is -2¹⁶
mark me as brainlist answer
Pls help me on this.
9514 1404 393
Answer:
domain: (-4, -2) ∪ [-1, 4]
range: (-5, 3)
Step-by-step explanation:
Domain
The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.
D: (-4, -2) ∪ [-1, 4]
__
Range
The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).
The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:
R: (-5, 3)
(8) We pour water into a pool. Suppose that w = The amount of water in the pool (in gallons) at time t(in minutes) Given the following table of values for t and w: t 0 5 10 15 20 w 100 125 130 140 155 find the average rate at which water was poured into the pool from 0 minutes to 10 minutes. Include units in your answer. Show how you get your answer.
Answer:
Step-by-step explanation:
The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.
Kristin won 70 pieces of gum playing
hoops. After giving some away she only
has 54 remaining. How many did she give
away?
Answer:
16
Step-by-step explanation:
to find the answer we can do a subtraction problem.
70-54=?
70-54=16
so she gave away 16 pieces of gum.
Hi, I really need help on this, please help me, no scam links.
Answer:
560 cm^3
Step-by-step explanation:
To find volume you will have to multiply all three, length, width and height of an object to determine the answer.
In this problem, 7 cm * 20 cm * 4cm = 560 cm^3
d
18. Emily is encouraged to read more than 4 hours each
week. It takes her 45 minutes to finish her first book.
She divides the remainder of the time equally amongst
the other six days. What is the minimum number of
minutes she should read each day?
Answer:
I think the answer is 67.5. Hope this helps! :)
Which equation can be used to find the missing leg in the triangle?
a2 + 202 = 162
202 + 162 = a2
a2 + 162 =202
16 + a2 = 20
Answer:
the person above me is correct C
Step-by-step explanation:
or a(2 + 16(2 = 20(2
The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The triangle is missing the b leg,
And, Two sides are,
c = 20 and a = 16
Hence, By using Pythagoras theorem we get;
⇒ a² + 16² = 20²
Thus, The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
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Complete question is this,
Which equation can be used to find the missing leg in the triangle?
a² + 20² = 16²
20² + 16² = a²
a² + 16² =20²
16 + a² = 20
p.s the triangle is missing the b leg, and c=20 and a=16
Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles.
Answer:
5.9987174899
Step-by-step explanation:
9.654km / 1.609344
= 5.9987174899mi
Mr. Korhonen use 1/8 of a cup of laundry detergent when he does a load wash how many cups will have need to do 4 loads
Please help me somebody!
The answer is attached below
What is the greatest common factor of 8 and 6
Answer: 2
Step-by-step explanation:
Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes
Answer:
As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)
As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,
and 38 dimes x 10 cents per dime, which gives you 380 cents.
So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you
25:76
SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38
If you think about it, it makes sense because:
10 cents is twice as much as 5 cents, and
76 cents is twice as much as 38 cents.
Hope this helps!
Matt in New York
Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.
Explain about the Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value
Since there is no
to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)
To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.
and 38 dimes multiplied by 10 cents each, giving you 380 cents.
By dividing each by 5, you can simplify your new ratio of 125:380 and get
25:76
Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.
It makes sense if you think about it since
Ten cents are twice as expensive as five cents, and
38 cents is double what 76 cents
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PLEASE HELP ME ITS ALGEBRA TWO THANK YOUUUU
Answer:
20 kilograms of paper will be recycled in Sean's office after 10 weeks.
You keep a record of all transactions in your checking account, including checks written, deposits made, fees paid, ATM withdrawals, and so on. This record is a
A) Bank statement
B) Reconciled statment
C) Check register
D) Debit card
Answer:
b
Step-by-step explanation:
The perimeter of the rectangle below is 64
Find the value of x
show your solution need an answer, please need an answer, please.
complete answer pls:(
Answer:
1. x = -1
2. y = -1, y = 2
3. y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4. x = -3; x = -6
Step-by-step explanation:
I will only produce work for questions 1 through 4, and you could follow the same steps for questions 5 and 6 so that you could learn and get used to solving quadratic equations. I am practically using the same techniques in solving questions 1 through 4 anyway.
1.) x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = 2² - 4(1)(1) = 4 - 4 = 0
This means that the equation has one real root.
Next, determine the factors of the quadratic equation.
Use the perfect square trinomial factoring technique:
u² + 2uv + v² = (u + v)²
From the equation, x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Find factors with product a × c and sum b:
Possible factors:
product a × c : 1 × 1 = 1
sum b : 1 + 1 = 2
Therefore, the binomial factors of x² + 2x + 1 = 0 is (x + 1)²
To find the roots, set x = 0:
x + 1 = 0
Subtract 1 from both sides to isolate x:
x + 1 - 1 = 0 - 1
x = -1 (This is the root of the equation).
2) y² - y - 2 = 0
where a = 1, b = -1, and c = -2
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (-1)² - 4(1)(-2) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
From the equation, y² - y - 2 = 0
where a = 1, b = -1, and c = -2:
Find factors with product a × c and sum b:
Product a × c :
1 × -2 = -2
-1 × 2 = -2
Sum b:
1+ (-2) = -1
-1 + 2 = 1
Therefore, the possible factors are: 1 and -2:
(y + 1) (y - 2)
To find the roots, set y = 0:
y + 1 = 0
Subtract 1 from both sides:
y + 1 - 1 = 0 - 1
y = -1
y - 2 = 0
Add 2 to both sides:
y -2 + 2 = 0 + 2
y = 2
Therefore, the roots of the quadratic equation, y² - y - 2 = 0 are: y = -1 and y = 2.
3.) y² + y + 1 = 0
where a = 1, b = 1, and c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (1)2 - 4(1)(1) = -3
Since b² - 4ac < 0, then it means that the equation will have two complex roots.
Use the Quadratic Formula:
[tex]y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1^{2} - 4(1)(1)} }{2(1)}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1 - 4} }{2}[/tex]
[tex]y = \frac{-1 +/- \sqrt{-3} }{2}[/tex]
[tex]y = \frac{-1 +/- i\sqrt{3} }{2}[/tex]
Therefore, the roots of the quadratic equation, y² + y + 1 = 0 are:
y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4) x² + 9x + 18 = 0
where a = 1, b = 9, and c = 18.
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (9)2 - 4(1)(18) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
Use the Quadratic Formula:
[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9^{2} - 4(1)(18)} }{2(1)}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9} }{2}[/tex]
[tex]x = \frac{-9 + 3}{2}; x = \frac{-9 - 3}{2}[/tex]
[tex]x = \frac{-6}{2}; x = \frac{-12}{2}[/tex]
x = -3; x = -6
Therefore, the roots of the quadratic equation, x² + 9x + 18 = 0
are: x = -3 and x = -6.
Questions 9-10: Make the necessary calculations and give
your answer in the space below each question.
9. What is the area of the rectangle on the right?
3 cm
4 cm
Ignore the bottom question
1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9
Answer:
D
Step-by-step explanation:
because I solved generalization and defined to solving for the unknowns
will summarize
Help!! ASAP
Is relation below a function? If it is a function, state its domain.
{(0,3),(2,-3),(1,8),(2,3)}
A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}.
C. The relation is a function. The domain is {-3,3,8}
D. The relation is a function. The domain is {-3,0,1,2,3,8}
Answer:
A. The relation is not a function.
Step-by-step explanation:
Since 2 --> -3, and 2 --> 3, the relation is not a function.
state the domain and range of the function:
y = -(x+8)^2 +9
Domain: All real numbers (-infinity, infinity)
Range: [9, -infinity)
which of the following decimals has the greatest value 6.362 6.537 6.5 6.58
Answer:
6.58 has the greatest value
6.362 < 6.5 < 6.537 < 6.58
A box contains 10 light bulbs, of which 3 are defective and the other 7 work. If two bulbs are drawn in succession without replacement, what is the probability of getting 1 working bulb and 1 defective bulb?
Answer:
Working: 7/10
defective:3/10
Step-by-step explanation:
Just trust me
Determine the equation of the line passing through the point (4,5) with the slope equal to 2.
Answer:
y=2x-3
Step-by-step explanation:
slope (m)= 2
The Slope intercept of the line passing through (4,5) is
y=mx+b
5 = 2(4) + b
5 = 8 + b
b = -3
The equation of the line passing through pt. (4,5) is
y= mx+b
y=2x-3
2/3 cup water 1/2 cup oil what's the ratio of water to oil?
Answer:
4:3
Step-by-step explanation:
ratio of H20 to Oil = (Amount of H20) / (Amount of Oil) = (2/3 cup)/(1/2 cup) =
(2/3) / (1/2) = (2/3) * (2/1) = 4/3 = 4:3
The elevation of a submarine with respect to sea level is displayed as - 125 feet. Which statement is correct?
A. The submarine is 125 feet above sea level.
B. The submarine is 125 feet below sea level.
C. The submarine is -125 feet above sea level.
D. The submarine is -125 feet below sea level.
B. The submarine is 125 feet below sea level.
Step-by-step explanation:
-124 feet because - (negative) means the submarine is 124 meters below sea level (masl).
Answer:
The elevation of a submarine with respect to sea level is displayed as - 125 feet. Which statement is correct?
A. The submarine is 125 feet above sea level.
B. The submarine is 125 feet below sea level.
C. The submarine is -125 feet above sea level.
D. The submarine is -125 feet below sea level.
Step-by-step explanation:
The keyword is below so it means it is a negative integer. Therefore the answer is letter D.A mixed nuts factory makes a 10 pound mixture of almonds, walnuts, and
cashews. Almonds cost $1.25 per pound, walnuts cost $2.75 per pound,
and cashews cost $3.15 per pound. The mixture calls for twice as many
almonds as walnuts. The total cost of the mixture is $18.90. How much of
each ingredient did the store use?
This is a System of equations problem
Answer
x+y+z=10
1.25x+2.75x+3.15x+18.90
x=2z
Step-by-step explanation:
x=almonds
y=walnuts
z=cashews
9514 1404 393
Answer:
6 pounds almonds3 pounds walnuts1 pound cashewsStep-by-step explanation:
We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...
a +w +c = 10 . . . . . total pounds of nut mix
a = 2w . . . . . . . . . twice as many almonds as walnuts
1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix
__
Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.
We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.
2w +w +c = 10 ⇒ 3w +c = 10
1.25(2w) +2.75w +3.15c = 18.90 ⇒ 5.25w +3.15c = 18.90
Solving the first of these equations for c, then substituting into the second of these equations gives ...
c = 10 -3w
5.25w +3.15(10 -3w) = 18.90
-4.20w +31.50 = 18.90 . . . . simplify
12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90
3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20
c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c
a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a
The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.
_____
Additional comment
The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.
Which compound inequality can be used to solve the inequality 3x+2>7
Answer:
3x + 2 < –7 or 3x + 2 > 7
Answer:
D: 3x + 2 < –7 or 3x + 2 > 7.
Step-by-step explanation:
Pls help. Abcdefjnshshsjnwishejjsjwhaunrshwjhd
Jauahshwj
x = 72
Step-by-step explanation:
x + (2x - 36) = 180
3x - 36 = 180
3x = 180 + 36
3x = 216
x = 216/3
x = 72
PLEASE HELP DUE IN 10!!!
Solve for the value of w.
Answer:
32 +9w-5=90
9w-5=58
9w=63
w=7