We need to know how to solve quadratic equation for this problem. The solution of the equation is x=1 and x=10.
An equation that has a variable with maximum degree two is called a quadratic equation. A quadratic equation can be solved by factorization method. Factorization method is a method where we group the variables together to find common factors among them. The common factors give the solution of the equation. Since a quadratic equation has variable of degree two it has two solutions. The roots of a quadratic equation can be real and unequal, real and equal or imaginary. If we solve the given equation we get a quadratic equation.
[tex]\frac{1}{x} +\frac{1}{x-10} =\frac{x-9}{x-10} \\\frac{x-10+x}{x(x-10)} =\frac{x-9}{x-10} \\2x-10=x(x-9)\\2x-10=x^{2} -9x[/tex]
[tex]x^{2} -9x-2x+10=0\\x^{2} -11x+10=0\\x^{2} -10x-x+10=0\\x(x-10)-1(x-10)=0\\(x-1)(x-10)=0\\[/tex]
Therefore the solution of the equation is x=1 and x=10.
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Solve for x when g=x-c/x
Answer:
x= -3/g -1
Step-by-step explanation:
HELP PLEASEEEI’ll
Make you brainlist
Answer:
Step-by-step explanation:
0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies
Please help me with this
Answer:
2.7 miles
Step-by-step explanation:
0.5 + 1.3 + 0.9 = 2.7
Which function would you use to locate the index of the first character of the first occurence of a substring within another string?
You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
What is the CHARINDEX function?The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.
⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)
Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.
Input_string: The input string is defined in this argument.
Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.
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What is the standard deviation and its meaning given this population of customer ages? 45, 76, 30, 22, 51, 40, 63, 66, 41
The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
N is the number of observations in the data set.
It is given that:
The data set:
45, 76, 30, 22, 51, 40, 63, 66, 41
From the formula:
∑(x(i) - X)² = 2463.55
N = 9
SD = √(2463.55/9)
SD = 16.54
Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
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Are 5y and 5x like terms?
Answer:
No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.
Answer:no
Step-by-step explanation:in order for them to be like terms they would have to have the same variables
I need the answer to all of them Rolly quick Bc my phone is dying
Answer:
1: $5
2: 7
3: 18
4: 17
5: 2
6: 1,029
Step-by-step explanation:
Eighth grade > J.10 Solve proportions: word problems 5XV
You have prizes to
Sally's retirement party will cost $34 if she invites 17 guests. If there are 46 guests, how
much will Sally's retirement party cost? Assume the relationship is directly proportional.
Answer:
Practice with this https://www.ixl.com/math/grade-8/solve-proportions-word-problems
Step-by-step explanation:
The sum of three lengths of a fence ranges from 31 to 40 inches. two side lengths are 9 and 12 inches. if the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side. 31 ≤ x ≤ 40 22 ≤ x ≤ 28 10 ≤ x ≤ 19 9 ≤ x ≤ 12
If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x, can be presented by the compound inequality 10 < x < 19.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:
31 < sum < 40
If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:
31 < 9 + 12 + x < 40
31 < 21 + x < 40
Subtracting 21 at all sides,
31 - 21 < 21 + x - 21 < 40 - 21
10 < x < 19
Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.
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DIG DEEPER The diagram shows the elevation changes between checkpoints on a trail.
A drawing shows the change in elevation between checkpoints on a mountain trail. From a point labeled start, the trail moves down to a point which is labeled negative 174 feet from the starting point. The trail then moves upward up to a point labeled 350 feet above the previous point. Next, the trail moves down to a point which is labeled negative 180 feet below the previous point. Then the trail moves up to a point labeled 282 feet above the previous point labeled end.
The trail begins at an elevation of 8136 feet. What is the elevation at the end of the trail?
The elevation is
feet.
Skip to navigation
Using operations with integers, it is found that the elevation at the end of the trail is of 8,414 feet.
How to find the elevation at the end of the trail?We initially take the initial elevation, and then:
We add positive points labeled on the graph.We subtract negative points labeled on the graph.Thus, operations of sum and subtraction with integers are used to find the final elevation.
From the listed points on the problem, the operations are given as follows:
-174, 350, -180, +282.
The trail begins at an elevation of 8136 feet, hence the final point can be found as follows:
8136 - 174 + 350 - 180 + 282 = 8414 feet.
The elevation at the end of the trail is of 8,414 feet.
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Segments AD and BC intersect at point O.
Prove that AC = BD,
m∠ABC=m∠BAD.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
How to prove Congruent Angles?
In ΔOAC and ΔODB, we have the following observations
CO = DO because it is shown that they are congruent
∠AOC = ∠BOD because vertical angles are congruent
∠ACO = ∠BDO because we are given that they are congruent
Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
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A vinyl decal shop charges a set-up fee of $25.00 and $5.00 for each decal printed. donna is ordering one decal for each of the 6 cheerleaders. if x decals are ordered, the total cost of the set-up fee and decals can be represented by f\left(x\right)=5x+25f(x)=5x+25. what are the range values for this situation?
The range of the situation is 30 to 55.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.
Given:
A vinyl decal shop charges a set-up fee of $25.00
$5.00 for each decal printed.
as, f(x)=5x+25 represents the total cost of the set-up fee
we have 6 cheerleaders
put x= 1
5x+25 = 5+25 = 30
and x=6
5x+25= 5*6+25= 30+25= 55
Hence, the range is 30 to 55.
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9. Marlee is making jewelry for a class craft
show. She began with 115 inches of wire.
She used 25.75 inches for rings. Then her
teacher gave her 30 1/4 inches of wire to
make more jewelry. She then used 38 1/2
inches for the bracelets and 60.2 inches for
necklaces. How much wire does Marlee
have left?
The wire that Marlee had left is 20.8 inches.
How to calculate the fraction?From the information given, it was stated that Marlee is making jewelry for a class craft show and that she began with 115 inches of wire.
Amount used for rings = 25.75 inches..
Amount given to her by the teacher = 30 1/4 inches.
Amount used for bracelets = 38 1/2
inches.
Amount used for necklace = 60.2 inches
It should be noted to know the wire left, we have to subtract the values that were used and then add the value that her teacher gave her from the original value. This will be calculated thus:
This will be:
= 115 - 25.75 + 30.25 - 38.5 - 60.2
= 20.8 inches
Therefore, in conclusion, the wire that Marlee had will be 20.8 inches left.
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Given f(n) = 7n - 5
Evaluate f(-2)
Answer:
[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]
A boat travels upstream the Missouri River for 3.5 hours. The return trip takes only 2.5 hours because the boat travel 2 miles per hour faster downstream due to the current. How far does the boat travel downstream? PLEASE HELP PLSPLSPLSPLS
The distance traveled by boat upstream would be 5 miles because downstream, the boat moves 2 miles per hour more quickly.
What is the speed?Speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
We have been given that the boat takes 3.5 hours to move upstream on the Mississippi River.
And 2.5 hours are used traveling back.
Downstream, the boat moves 2 miles per hour more quickly.
Let the speed of travel upstream would be x
⇒ 3.5x = 2.5(x + 2)
⇒ 3.5x = 2.5x + 5
⇒ 3.5x - 2.5x = 5
⇒ x = 5
So the distance traveled by boat upstream would be
= 3.5 × 5
= 17.5 miles per hour
Therefore, the boat travels 5 miles downstream.
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does pie ever end?
the question is the 3.14 i know the answer i just want to see if you get it right
Answer:3.141598
Step-by-step explanation: that is all I can remember on the top of my head
8/7 x 4 6/7 help plssss
Answer:
272/49
Step-by-step explanation:
hope this helps :)
shae used the product of rule to prove that 7 to 0 power is equal to 1
Answer:
yes a product of any number to 0 is equal to 1
If AB and CD intersect at point E, m measure of all four angles.
The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.
What are vertically angles?
Vertical angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
Given that
∠BOC+∠AOC=280o (AB and CD intersect at point E)
we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC
we know that, ∠AED=∠BEC
so it can be written as
∠AED+∠AED=180o,
2∠AED=280o,
∠AED= 140o,
∠AED=∠BEC=140o
we know that ∠AEC and ∠AEC form a linear pair
So it can be written as
∠AEC+∠AED=180
substituting the values
∠AEC+140o=180o
∠AEC=40o
we know that ∠AEC and ∠BED are vertically opposite angles
∠AEC=∠BED=40o
Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40
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31.693 rounded to the nearest tenth
Answer:
31.7
Rounded to the nearest Tenths Place.
Simplify: (2 3/5)+(-3 3/4)
Answer:
-23/20
Step-by-step explanation:
Johnathan worked 4 hours on Monday, 4 hours on Tuesday, 4 hours on Wednesday, 4 hours on Thursday, and 4 hours on Friday. He makes $12.125 an hour. What is his total pay?
Answer:
$242.50
Step-by-step explanation:
The total of number of hours = 20
Hourly pay = 12.125
20*12.125
Total pay= 242.50
11+{19+6}={11+___}+6
Answer:
Step-by-step explanation:
11+(19+6)= (11+19)+6 so it's the associative property
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply.
2x? + 1x100 + 9x10
A.1,000
B. 10 to the 4th power point
C. 100,000
D. 10 to the 3rd powerpoint
E. 10,000
The option that would complete the given expression is; Option B: 10 to the fourth power
How to write a number is Expanded Notation?
We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.
This can be broken down as;
20,190
This can be broken further down into;
20000 + 100 + 90
Writing in expanded notation gives;
(2 * 10⁴) + (1 * 10²) + (9 * 10¹)
Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power
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On a map once 1 cm = 22 miles, find the actual distance between two towns a & b which is 4.7 cm on the map
on the map , 1cm=5kmtherefore ,
4.7cm= 5/1 x 4.7=23.5 km <----—-answer
Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?
Answer:
6000
Step-by-step explanation:
thousands digit and the units digit are the same.
and The hundreds digit and the tens digit are the same.
The hundreds digit is 0.
so three digits are same.
so the last three digits are 0.
The sum of the digits is 6.
so 6000 is right answer.
solve 2x + 6 < 10 or 2x + 8 > 20.
Answer:
Step-by-step explanation:
the answer you end up getting is D
2x/2 > 12/2x > 6
Because x is greater than 2
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?
Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
No. The sequence of transformations is an isometry because it contains only non-rigid transformations.
No. The sequence of transformations is an isometry because it contains only rigid transformations.
Answer:
Yes. The sequence of transformations is an isometry because it contains only rigid transformations.
Step-by-step explanation:
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
The rule of the transformation is given as,
(4, -4) ⇒ (1 - x, 2 - y)
Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.
The graph of transformation is attached below.
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Help me out to get the answer please
Answer:
21
Step-by-step explanation:
1+6=7
7+4=11
11+11=21
Answer:
m=7
Step-by-step explanation:
it's in the picture
the left got cut out but there's a bracket at the end of the first line
