Answers
Answer:
a
x
2
+
b
x
+
c
=
0
the two roots of the equation take the form
x
1
,
2
=
−
b
±
√
b
2
−
4
a
c
2
a
So, start by adding
−
5
to both sides of the equation to get
2
x
2
+
x
−
5
=
5
−
5
2
x
2
+
x
−
5
=
0
Notice that you have
a
=
2
,
b
=
1
, and
c
=
−
5
. This means that the two solutions will be
x
1
,
2
=
−
1
±
√
1
2
−
4
⋅
2
⋅
(
−
5
)
2
⋅
2
x
1
,
2
=
−
1
±
√
41
4
You can simplify this if you want to get
x
1
=
−
1
+
√
41
4
≅
1.35078
and
x
2
=
−
1
−
√
41
4
≅
−
1.85078
Answer:
(2x-2)=
+2 =+2
(2x)=2
----------
2
x= 1
-----------------------------------------------
(x+5)=
-5=-5
x= -5
Step-by-step explanation:
You just need to separate the variable from the numbers
Related Questions
23.4571 to the nearest 10
Answers
23.4571 to the nearest 10
asnwer: 23.5
help me to solve maths
Answers
Answer:
9. 105/-21 = -5
10. -5 + 11 = 6
11. 368 x -16 = -5888
12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)
Marco's living room is 4 meters wide and 6 meters long. He wants to install white carpet that costs $8.91 per square meter. How much will it cost to buy enough carpet for the living room?
Answers
Answer:
$213.84
Step-by-step explanation:
Think of a rectangle. In the case the length is 6 meters and the width is for meters. To be able to find the area of this rectangle, you need to multiply the length by the width. 6 multiplied by 4 is 24. In the equation it tells you that 1 square meter is $8.91, so now you are trying to figure how much 24 square meters would cost. To figure this out, you will need to multiple 24 by $8.91 giving you $213.84.
Hope this helps.
Match the polynomial on the left with the corresponding polynomial on the right.
Add: (3x − 2x² + 4) + (x² - 4x - 5)
-
Find the opposite of: 3x² - x + 1
Subtract: (x² + 3x-4) - (4x-2x²-3)
-3x²+x-1
-x²-x-1
3x²-x-1
3x²+x-1
4x² - 6x 1
Answers
The polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
a)Given polynomials;
⇒(3x − 2x² + 4) + (x² - 4x - 5)
⇒− 2x²+x²+3x-4x+4-5
⇒-x²-x-1
b)The opposite of the given polynomial is found by changing the sign in the polynomial as;
⇒3x² - x + 1
⇒(-3x²) -(- x) + (-1)
⇒-3x²+x-1
c)The subtraction operation in the polynomial is found as;
(x² + 3x-4) - (4x-2x²-3)
(x²-2x²)+(+3x-4x)+(-4+3)
-x²-x-1
Hence,the polynomial for the given operation A, B, and C will be (-x²-x-1),(-x²-x-1), and (-x²-x-1).
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MEAN, MEDIAN AND MODE OF GROUPED DATA
Answers
See the attached files!!!!
i need helpppp with this question
Answers
I need this answer asap (fast)
Of the 12.4 million species of organisms in the world today, 64% (almost two thirds) are insects.
Estimate to the nearest million the number of insect species.
Answers
Answer:
8 million insect species
Step-by-step explanation:
Solving :
⇒ Number of species = Total organisms × % of the species
⇒ Number of species = 12.4 × 64%
⇒ Number of species = 0.124 × 64
⇒ Number of species = 7.936 million ≈ 8 million insect species
the avrge amount of rainfalls is?
Answers
Answer:
For the entire United States, excluding Hawaii and Alaska, the average amount of moisture falling as rain and snow is 30.21 inches
Step-by-step explanation:
depends on the state
find 3 solutions for y=-2x-4
Answers
Explanation:
Solving the equation would provide these three various answers to verify the equation is true.
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
82°
92°
102°
112°
Answers
Answer:
102 deg
Step-by-step explanation:
The sum of the interior angles of a n-gon
are equal to ( n-2)*180
for a pentagon ( 5-2)(180) = 540
88+118+132+100 + x = 540 x= 102 deg
Answer:
C. 102 is correct
Step-by-step explanation:
just took test
Which of the following equations is equivalent to S=pi r^2 h
Answers
The equation that is equivalent to S=pi r^2 h is h = S/pir^2
Subject of formulaThis is a way of representing a variable with another. Given the equation
S=pi r^2 h
We are to make 'h" the subject of the formula.
Divide both sides by pir^2
S/pir^2 =pi r^2 h/pir^2
h = S/pir^2
Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2
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Simplify the following
(3a 2b ×2a 6b)
Answers
Answer:
3a 2b ×2a 6b = 72a²b² = 72× (ab)²Step-by-step explanation:
3a 2b ×2a 6b = (3 × 2)×(a × b) × (2 × 6)×(a × b) [commutative property]
= (6×ab) × (12×ab) [associative property]
= (6×12) × (ab×ab) [commutative + associative]
= (72) × (ab)²
= 72× (ab)²
= 72a²b² [exponent property]
13 × (11 + 11) - (4 × 17) - 6 = X
Answers
Answer: 212
Step-by-step explanation:
13 * 22 - 68 - 6 = X
286 - 68 - 6 = X
286 - 74 = X
X = 212
Fill in the blank.
5 × 5/2 = __ x 1/6
Answers
Answer:
25
Step-by-step explanation:
When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....
If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....
A car purchased for $15,000 depreciates under a straight-line method in the
amount of $950 each year. Which equation below best models this
depreciation?
A. y = 15000x-950
OB. y = 15000 +950x
OC. y = 15000-950x
OD. y = 15000x+950
Answers
Answer:
i can't send full page of it sorry
The equation y = 15000 - 950x best models the depreciation.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The equation y = 15000 - 950x.
Here, y represents the value of the car after x years.
The initial value of the car is $15,000, which means the value of the car at x = 0 is $15,000.
The car depreciates by $950 each year, so after one year, the value of the car will be $15,000 - $950 = $14,050.
After two years, the value of the car will be $14,050 - $950 = $13,100, and so on.
This linear relationship between the value of the car and the number of years can be modeled by the equation y = 15000 - 950x,
where 15000 is the initial value and -950x represents the amount of depreciation each year.
Thus,
The equation y = 15000 - 950x best models the depreciation.
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Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the
following is true.
P(-C≤Z≤c)=0.9715
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Answers
Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The standard normal distribution has mean and standard deviation given, respectively, by:
[tex]\mu = 0, \sigma = 1[/tex].
Hence, considering the symmetry of the normal distribution, the value of c is Z with a p-value of (1 + 0.9715)/2 = 0.98575, hence c = Z = 2.19.
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Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory.
___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___ Overtime wages were required to produce at levels above 25,000 units.
Answers
The cost per unit actually comes down to 0.8$per unit.
We have given that,
The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
Overtime wages were required to produce at levels above 25,000 units.
What is the cost?
A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.
The cost of production per unit of the item produced is 1$ as long as the total units produced are less than 2500.
If more than 2500 units are produced then the cost per unit actually comes down to 0.8$per unit.
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If a hot air balloon pilot inflates the balloon at an average wind speed of about 5 miles per hour with an altitude of 35,000 feet, how fast will the radius of the balloon increase as it goes up higher and higher performing certain tricks? Using the differentiation formula applicable for this situation, estimate the speed of inflation and the speed of landing. Will this be able to help the pilot still perform other tricks before making a colorful landing? Give at least two comprehensible reasons and explain your answer.
Answers
The speed of landing is 15.69 ft/sec.
What is differentiation ?"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.
The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."
Let the length of the rope = r
Height of the balloon = h
we are given dr/dt = 15ft/sec
at any time t we know:
[tex]r = 125 + 15*t[/tex]
By the Pythagoras theorem we know:
[tex]h^2 + 125^2 = r^2[/tex]
We have to find dh/dt at time t = 20 sec
[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]
By chain rule:
[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]
[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2
=15.69 ft/sec
Hence dh/dt = 15.69 ft/sec
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PLEASE HELP "What is the value of x in the triangle" (15 Points)
Answers
Answer:
The answer is B.) 3
Step-by-step explanation:
Answer:
jesse got right
Step-by-step explanation:
branliest.
Determine the true statements about trend lines in scatterplots. Check all that apply.
A trend line can be used to make predictions in real-world situations.
A scatterplot that shows no correlation between the variables does not have a trend line.
A line of best fit must contain at least two of the original points.
A regression line and trend line are equivalent terms.
Answers
Answer:
give that 13.3cm is 15% of a certain length, what is the complete length
Answer: A,B and D ARE THE CORRECT ANSWERS
Step-by-step explanation:
Match the average rates of change of f(x) to the corresponding intervals.
-3
-8
-7
[-5, -1]
[-4,-1]
[-3, 1]
[-2, 1]
Answers
The average rates of change of f(x) and their corresponding intervals are given as:
Interval Rate of Change
[-5, -1] -8
[-4, -1] -7
[-3, 1] -4
[-2, 1] -3.
What is the explanation for the above?Step 1 - See Table Attached
Step 2 - State the formula for rate of change
The formula for rate of change is given as:
= [change in f(x)] / [change in x]
a) For interval [5, -1] ⇒
Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]
= [-1 - 35] / [-1+5]
= -36 / 4
= - 8
b) For interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]
= [3 - 24] / [-1 + 4]
= -21/3
= - 7
c) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]
= [-1 - 15] / [1 + 3]
= -16/4
= - 4
d) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)]
= [ -1 - 8] / [1 + 2]
= -9/3
= -3
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Select the best definition of repeating decimal.
A. any number that does not repeat, or terminate, that can not be written as a fraction.
B. a decimal that has a recurring sequence of numbers that follow a pattern
C. any number that can be written as a fraction, repeating or terminating decimal
D. a decimal which has digits that do not go on forever.
Answers
The correct option that defines repeating decimals correctly is Option B;
a decimal that has a recurring sequence of numbers that follow a pattern.
What is a Repeating Decimal?A repeating decimal is also called a recurring decimal and it is a decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero.
From the above definition, it means that the correct option that defines repeating decimals correctly is Option B.
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which expresstion is equivalent to 22 - 3
Answers
Answer:
48-29
Step-by-step explanation:
22-3=19, so put on that makes 19.
Answer:
19 + 3(19 + 22) - 22(3 * 7) + 1Use this tax table to find how much tax you need to pay on a taxable income of $40,000.
If taxable
But not
The tax is:
income is over--
over-
$0
$7,825
10 percent of the
amount over $0
$7,825
$31,850
$782.50 plus 15 percent
of the amount over
7,825
$31,850
$77,100
$4,386.25 plus 25
percent of the amount
over 31,850
$77,100
$160,850 $15,698.75 plus 28
percent of the amount
over 77,100
$160,850
$349,700 $39,148.75 plus 33
percent of the amount
over 160,850
$349,700
no limit
$101,469.25 plus 35
percent of the amount
over 349,700
OA $6,423.75
OB. $8,150.50
OC. $12,536.25
Answers
Answer:
b
Step-by-step explanation:
Amount of tax you need to pay on a taxable income of $40,000 is,
= $6423.75
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
According to table, $40,000 falls in the 3rd category between $31,850 and $77,100
And, The tax is "$4,386.25 + 25% of amount over 31,850"
Hence, we have:
= $4,386.25 + 25% of (40,000 - 31,850).
= $4,386.25 + 0.25 x 8150
= $6423.75
Thus, Amount of tax you need to pay on a taxable income of $40,000 is,
= $6423.75
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Can someone solve this eq (integration)
I did it but the answer I got is different to what my textbook says
Answers
Answer:
I hope you can help
Susan, Enrique and Martin are going for a meal.
Susan pays £26, Enrique pays £20 and Martin pays £18.
What fraction of the meal did each friend pay for?
Answers
Answer:
13/32 Susan
5/16 Enrique
9/32 Martin
Step-by-step explanation:
26+20+18=64
26/64=13/32
20/64=5/16
18/64=9/32
find the midpoint of the line segment between the points (11, -5) and (-3, -7)
Answers
Answer:
(4, -6)
Step-by-step explanation:
(x1+x2)/2 + (y1+y2)/2 = midpoint
(11+-3)/2 = 8/2 = 4. x = 4
(-5 + -7)/2 = -12/2. y = -6
4, -6 is the midpoint
give brainliest please! hope this helps :)
Paula ran
3
1
4
kilometers. Omar ran
4,200
meters.
Part A
Who ran farther and by how much?
A.
Omar ran 950 meters farther than Paula.
B.
Paula ran 950 meters farther than Omar.
C.
Omar ran 3,875 meters farther than Paula.
D.
Paula ran 3,875 meters farther than Omar.
Part B
What is the total number of centimeters Omar and Paula ran?
A.
45,250 centimeters
B.
74,500 centimeters
C.
452,500 centimeters
D.
745,000 centimeters
HELP ME
Answers
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometersOmar ran 4200 metersThe way to solve this is by converting all the distances to meters.
Paula = 3250 metersOmar = 4200 metersDifference in their distance = (4200 - 3250) metersDifference in their distance = 950 meters.The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Answer:
Omar ran 950 meters farther than Paula. Option A is correct.
The total number of centimeters they both ran is 745000 centimeters. Option D is correct.
How do we determine the distance between two objects?
The distance between two objects can be determined by finding their difference.
From the given information:
Paula ran 3 1/4 kilometers
Omar ran 4200 meters
The way to solve this is by converting all the distances to meters.
Paula = 3250 meters
Omar = 4200 meters
Difference in their distance = (4200 - 3250) meters
Difference in their distance = 950 meters.
The total number of centimeters they both ran is:
= (420000+325000) centimeters
= 745,000 centimeters
Therefore, we can conclude that Omar ran 950 meters farther than Paula. The total number of centimeters they both ran is 745000 centimeters.
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Step-by-step explanation:
13. Figure QRSP is a rectangle.
Q.
100°
What is the measure of angle RPS?
A. 40 degrees
C. 80 degrees
B. 50 degrees]
Answers
Answer:
b 50 degrees bavaggagshdd
Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch.
A tree diagram. The sizes are large, medium, and small. The crusts are thin or thick. The toppings are tomato or meatball.
According to the tree diagram, which best describes how many choices Jamie has for his pizza?
three choices for size, two choices for crust, and two choices for topping
three choices for size, two choices for crust, and one choice for topping
two choices for size, two choices for crust, and one choice for topping
two choices for size, two choices for crust, and two choices for topping
Answers
The answer would be A; Three choices for size, two choices for the crust, and two choices for topping.
What are true statements about the condition?The true statement are those statements that satisfy the given condition.
A tree diagram. The sizes are large, medium, and small.
The crusts are thin or thick. The toppings are tomato or meatball.
Sizes;
Small, Medium, and Large,
so they have 3 choices for size.
Crust;
Thin or thick for each size,
so they have 2 choices for the crust.
Topping;
Tomato or meatball for each one,
So, they have 2 choices for toppings.
The answer would be A; Three choices for size, two choices for the crust, and two choices for topping.
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Answer:
A
Step-by-step explanation:
did the test