how to do splitting method of x square- 2x -8
Answers
Answer:
x^2+2x+1=0
x^2+(1+1)X+1=0
x^2+X+X+1=0
X(X+1)+1(X+1)=0
(X+1)(X+1)=0
X=-1,X=-1
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Answer:
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kindly see attached picture:)
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Related Questions
7. Write the power as a product of factors: 97
Answers
Prime factorization: 97 is prime.
The exponent of prime number 97 is 1. Adding 1 to that exponent we get (1 + 1) = 2 Factors of 97: 1, 97.
Factor pairs: 97 = 1 x 97.
97 has no square factors that allow its square root to be simplified. √97 ≈ 9.8488578.
Solve your equation from the first problem and pick the BEST interpretation for the solution. a \large h\approx2.9; The solution shows that it will take about three more hours to fill the pool. b \large h\approx1.8, The solution show that it will take two more hours to fill the pool. c \large h\approx2.9; The solution shows that it will take about 2 more hours to fill the pool. d \large h\approx4.2, The solution shows that it will take 4 more hours to fill the pool.
Answers
Answer:
The correct option is (a).
Step-by-step explanation:
The complete question is:
A hose can fill a swimming pool in 6 hours. Another hose needs 3 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the pool.
Solution:
The first hose takes 6 hours to fill the pool.
So, work done per hour by the first hose is, 1/6.
Suppose the second hose takes x hours to fill the pool.
So, work done per hour by the second hose is, 1/x.
The work done per hour by the two hoses together is, [1/6 + 1/x] = (x + 6)/6x.
Together the two hoses can fill the pool in, 6x/(x + 6) hours.
It is provided that, the second hose needs 3 more hours to fill the pool than the two hoses combined.
That is:
6x/(x + 6) = x - 3
6x = (x - 3)(x + 6)
6x = x² + 3x - 18
x² - 3x - 18 = 0
x² - 6x + 3x - 18 = 0
x (x - 6) + 3 (x - 6) = 0
(x + 3)(x - 6) = 0
x = 6
Then the time taken by the two hoses together is,
6x/(x + 6) = x - 3 = 6 - 3 = 3 hours
So, each hose takes 6 hours and together they take 3 hours to fill the pool.
This implies that the second hose takes 3 hours more than the 3 hours together to fill the pool.
Thus, the correct option is (a).
Simplify 9^-8 × 1/9^3
Answers
Answer:
1/31381059609
Step-by-step explanation:
Luke order an extra large square pizza for all of his friends. The area of the pizza was 289cm². what is the perimeter of crust for the pizza?
Answers
Answer:
68 cm
Step-by-step explanation:
√289 = 17
each side is 17 cm
17 * 4 = 68 cm
does anyone know this?
Answers
Answer:
(-9,3)
Step-by-step explanation:
(-9,3)
Also written as -9≤X≤3
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
2. Jada is the 36th customer.
a. Will she get a prize? If so, what prize will she get?
b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning.
3. How many prizes total will Lin’s uncle give away? Explain your reasoning.
Answers
Answer:
1. Yes, 1 position backwards
2. Yes, a free blueberry muffin and a free slice of carrot cake
b. Yes
3. 19 prizes
Step-by-step explanation:
The given conditions for winning a prize are as follows;
The prize that every 5th customer gets = A free bagel
The prize that every 9th customer gets = A free blueberry muffin
The prize that every 12th customer gets = A free slice of carrot cake
Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers
1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize
He should get one position behind to 24th position
The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer
2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position
Jada will get a free blueberry muffin and a free slice of carrot cake
b. It is possible for Jada to get more than one prize
This is so because her position coincides with the consecutive 9th and 12th customers position
3. The number prizes that Lin's uncle gives away are;
5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes
including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.
$250 at 4% for 1 year
What is the balance of the account?
Answers
Answer:
Balance is $260.
Step-by-step explanation:
4% of $250
= 0.04 * 250
= $10.
250 + 10 = $260.
yaa is 10 years kwasi is 20 years and they share 60 mangoes and to a ratio of their ages find what each of them will get
Answers
Step-by-step explanation:
Yaa's age = 10 years
Kwasi's age = 20 years
They share the mangoes in the ratio of their ages
That's
10 : 20 = 1 : 2
Total number of mangoes = 60
Total parts = 1 + 2 = 3
Yaa's share[tex] \frac{1}{3} \times 60[/tex]= 20 mangoesKwasi's share[tex] \frac{2}{3} \times 60[/tex]= 2 × 20
= 40 mangoesHope this helps you
Answer:
Yaa gets 20 oranges while Kwasi gets 40 oranges
Step-by-step explanation:
We will add both ages= 10+20=30
Then we will pick yaa's age/ their total ages multiplied by the amount of oranges= 10/30 * 60
yaa will get= 600/30 = 20 oranges
Then Kwasi's age/their total ages multiplied by the amount of oranges= 20/30* 60=
1200/30= 40 oranges
You are painting your bedroom wall which is 9 feet high and 12 feet long, using paint that covers 50 square feet per gallon. How many gallons do you need to paint the wall?
Answers
Answer:
2.16 gallons
Step-by-step explanation:
Area to be painted:
9 ft × 12 ft = 108 ft²
Pain required:
50 ft² = 1 gallon ⇒ 1 ft² = 1/50 gallon108 ft² = ?108 × 1/50 = 2 8/50 = 2.16 gallonsWhich expression does not represent "the sum of n and 6"?
1. 6+n
2. n+6
3. 6n
Answers
A least squares regression line a. can be used to predict a value of y if the corresponding x value is given. b. implies a cause-and-effect relationship between x and y. c. can only be determined if a good linear relationship exists between x and y. d. ensures that the predictions of y outside the range of the values of x are valid.
Answers
Answer:
The correct option is (a).
Step-by-step explanation:
The general least square regression line is given by,
[tex]\hat Y=a+bX[/tex]
Here,
X = independent variable
Y = dependent variable.
b = slope (or regression) coefficient
a = intercept
The main purpose of the least square regression line is to predict the value of the dependent variable when the independent variable is known.
So, the correct interpretation is:
A least squares regression line can be used to predict a value of y if the corresponding x value is given.
The correct option is (a).
anyone please help surds questions
Answers
Answer:
[tex]2\sqrt{21}[/tex]
Step-by-step explanation:
We can multiply the two irrational terms, getting [tex]\sqrt{84}[/tex].
We see that 4 is a factor of 84, so we can rewrite [tex]\sqrt{84}[/tex] as [tex]\sqrt{4 (21) }[/tex]. We can take the 4 out, getting [tex]2\sqrt{21}[/tex].
What is the slope of the line given by the equation y = 4x +12?
Answers
Answer:
4
Step-by-step explanation:
The equation of a line can be written as y = mx + b where m is the slope.
In this case, m = 4 since the equation is y = 4x + 12.
Answer: The slope is 4
Step-by-step explanation:
The slope of a y intercept form equation which uses the formula y=mx+b is the number acting as the coefficient.
2 less than the sum of x and y
Answers
Answer:
(x + y) - 2 or x + y - 2
Step-by-step explanation:
"sum of x and y"
may be expressed mathematically as (x + y)
"two less than sum of x and y", can thus be written:
(x + y) - 2 or x + y - 2
What is the inverse function of f(x) = x/x-2
Answers
Answer:
The answer is:
y = x/x −2
Answer:[tex]f^{1}=\frac{2x}{x-1}[/tex]
Step-by-step explanation:
Write f(x) =x/x-2 as an equation
[tex]f(x)=\frac{x}{x-2}[/tex]
Interchange the variables
[tex]x=\frac{y}{y-2}[/tex]
solve for y, multiply equation by y-2.
[tex]y=\frac{2x}{x-1}\\[/tex]
replace y with [tex]f^{1}[/tex](x)
you get the above answer.
The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. Verify your answer.
Answers
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation, [tex] y = xk [/tex], where k is a constant. Thus,
[tex] \frac{y}{x} = k [/tex]
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x, [tex] \frac{0.50}{1} = 0.5 [/tex]
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into [tex] \frac{y}{x} = k [/tex], should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
[tex] \frac{y}{x} = k [/tex],
[tex] \frac{1}{2} = 0.5 [/tex],
When x = 3, y = 1.5:
[tex] \frac{1.5}{3} = 0.5 [/tex],
When x = 5, y = 2.50:
[tex]\frac{2.5}{5} = 0.5[/tex],
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
Answer:
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
Step-by-step explanation:
Translate
Solve the equation.
3m= 5(m + 3)-3
HELP
Answers
Answer:
m = -6
Step-by-step explanation:
3m= 5(m + 3)-3
Distribute
3m = 5m +15 -3
Combine like terms
3m = 5m +12
Subtract 5m
3m-5m = 5m+12-5m
-2m = 12
Divide by -2
-2m/-2 = 12/-2
m = -6
PLEASEEEE HELP ME!!!!!!! Write the quotient as a mixed number.
14 divided by 9 =1 R5
Answers
Answer:
1 5/9
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
-2/3 + 4/5 + 5/8 Please help me :/
Answers
Answer:
91/120
Step-by-step explanation:
It might be convenient to use the form ...
(a/b) +(c/d) = (ad +bc)/(bd)
__
-2/3 +4/5 +5/8 = (-2/3 +4/5) +5/8
= (-10 +12)/15 +5/8
= 2/15 +5/8
= (16 +75)/120
= 91/120
PLZ HELP I CANT DO THIS QUESTION!!!!
Answers
Step-by-step explanation:
(A) (In the fig. triangle represented by small triangle with angle of elevation 30° and height h1 ) ( Using this explanation since the figure is not marked)
[tex]tan30 = \frac{h1}{40} [/tex]
[tex]h1 = \frac{40}{\sqrt{3} } m[/tex]
(B) (In the fig. triangle represented by small triangle with angle of depression 58° and height h2 )
[tex]tan58 = \frac{h2}{40} [/tex]
[tex]h2 = 64m[/tex]
(C)
[tex]Height \: of \: Building \: A = h2 = 64m[/tex]
[tex]Height \: of \: Building \: B = h1+h2 = (64 + \frac{40}{ \sqrt{3} } )= 87m[/tex]
Hector is flying a kite. He has let out 86 feet of string and is holding it 4 feet off the ground. If the string is at an angle of elevation of 42°15'30", how high is the kite?
Answers
Answer:
h = 61.83 feet
Step-by-step explanation:
length of string from Hector to kite = c = 86 feet.
and 4 feet off the ground.
angle A = 42° 15' 30"
req'd: how high is the kite?
angle A = 42° + 15' (1° / 60') + 30"(1° / 3600'')
angle A = 42.26
to get the side a (height of kite) 4 feet above ground: use Sin(A) = opp / hyp
Sin(A) = a / c
Sin(42.26) = a / 86
a = Sin(42.26) * 86
a = 57.83 feet
therefore, the height of the kite from the ground = h = 57.83 + 4
h = 61.83 feet
Write an equation of the line that passes through the origin and
is parallel to the line whose equation is y = 3x - 7.
Answers
Answer:
y = 3x
Step-by-step explanation:
Parallel lines have the same slope, so the slope of this new line will be the same as the given one.
For a line to pass through the origin it needs to have a y intercept of 0, because the origin is the point (0,0).
Answer:y = 3x
Step-by-step explanation:
Which step is the same when constructing an inscribed square and an inscribed equilateral triangle?
Answers
Answer: Constructing a circle of any arbitrary radius.
Step-by-step explanation:
When trying to construct an inscribed square and also an inscribed equilateral triangle, one step which is same for both procedures is the construction of a circle with an arbitrary radius because both shapes would be inscribed inside the circle been drawn. So the step involving the drawing of the circle is same for both.
Answer: Set the compass width to the radius of the circle.
Step-by-step explanation:
How much of a circle does a 100-degree angle turn through?
help pls
1. 1
2. 100/180
3. 50/360
4. 100/360
pls help!!!
Answers
Answer:
100/360
Step-by-step explanation:
A complete turn of a circle is 360 degrees
Therefore, 100 degrees turn is 100 out of 360
Piz look at the pic
[tex]piz \: help \:me \: thx[/tex]
Answers
Answer:
-12a²+9a-5
Step-by-step explanation:
-7a²+3a-9 - (5a²-6a-4)=
-7a²+3a-9-5a²+6a+4=
-12a²+9a-5
Carl, Caitlyn, and Daryl are comparing their ages. Carl is two years older than Caitlyn. Daryl is five years older than Carl. The product of Carl and Daryl's ages is at least 160. If x represents Caitlyn's age, which inequality represents this situation?
Answers
Answer:
Step-by-step explanation:
If x represents Caitlyn's age, then can be used to represent Carl's age, and can be used to represent Daryl's age.
The product of Caitlyn and Daryl's ages is at least 160. Use this information to set up an inequality to represent this situation.
The answer is x squared +9x+14 is greater than or equal to 160.
The inequality that represents the given situation where x is the age of Caitlyn will be (X+2) (x+7) ≥ 160.
The inequality equation is a representation of the relation between two or more expressions that are not equal, not equal to, less than, or greater than.
Represented by:
greater than as >less than as <not equal to as ≠at least or, either equal or greater than as ≥Solution:
It is given that,
Caitlyn's age = x,
Carl's is two years older than Caitlyn, therefore,
Carl's age = x + 2
And, Daryl is 5 years older than Carl, therefore,
Daryl's age = Carl's age + 5
= (x + 2) + 5
= x + 7
The last condition is that the product of Carl and Daryl's age is at least 160, at least is represented as ≥ which mean that value either equal or greater than.
Therefore, the inequality would be (x+2) (x+7) ≥ 160
Learn more about inequality:
https://brainly.com/question/16826399
simplify the expression 10(7+7g)+4
Answers
Answer:
70g+74
Step-by-step explanation:
Answer:
= 70g + 74
Step-by-step explanation:
10 (7 + 7g) + 4
= 10(7g + 7) + 4
= 70 + 70g + 4
= 70g + 74
2[tex]\sqrt{2}[/tex] ×[tex]\frac{1}{2}[/tex]
Answers
Answer:
[tex] \sqrt{2} [/tex]
Step-by-step explanation:
[tex]2 \sqrt{2} \times \frac{1}{2} = \frac{ 2\sqrt{2} }{1} \times \frac{1}{2} = \frac{2 \sqrt{2} }{2} = \sqrt{2} [/tex]
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PLEASE HELP GUYS!!! WILL GIVE BRAINLY! Trapezoid JKLM is shown on the coordinate plane below: If trapezoid JKLM is translated according to the rule (x, y) → (x + 5, y − 4), what are the coordinates of point L'? (4 points)
(3, −3)
(1, −6)
(8, −6)
(−1, 3)
Answers
hope this helped!:)
Which of these are symptoms of schizophrenia?. A. expressing emotions less intensely B.compulsively repeating an action C.wanting to keep things symmetrical D.seeing something that is not there E. having a fear of germs F. having disorganized thoughts
Answers
Answer:
its 1,4,6 on edge
Step-by-step explanation:
These are symptoms of schizophrenia is -
expressing emotions less intensely
seeing something that is not there
having disorganized thoughts
What is schizophrenia?Schizophrenia is a chronic brain disorder that affects the mental ability of the population.
Symptoms can include ;
delusions - being imaginary
hallucinations - loss of sense of reality
disorganized speech - not speaking clearly
the trouble with thinking - disorganized thoughts
lack of motivation -
Trouble concentrating - Not able to focus
Thus, these are symptoms of schizophrenia is -
expressing emotions less intensely
seeing something that is not there
having disorganized thoughts
Learn more about schizophrenia,
brainly.com/question/8611812
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