A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The roots of a quadratic equation can be found using the formula,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.
Now, if we substitute the values in the formula of the roots of the quadratic equation,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]
x = (1±√-59)/6
x = (1+√-59)/6, (1-√-59)/6
Hence, the roots of the given quadratic equation are shown in options B and F.
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Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333
Answer:
sin x = 0.4706
Step-by-step explanation:
Given that,
Height, h = 8
Base, b = 15
Let H be the hypotenuse of the triangle. Using Pythagoras theorem,
[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]
We know that,
[tex]\sin\theta=\dfrac{h}{H}[/tex]
So,
[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]
So, the correct option is (b).
Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $34,000 in 9 years?
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get answer
Answer:
21880
Step-by-step explanation:
ON DELTA MATH
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
hope this helps:)))
What is the answer to 4 x n
Answer:
4n
Step-by-step explanation:
you multiply 4 x n= 4n
:')
Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
#platolivesmatter
Hope this helped :)
Comment for more help, I respond very fast ;)
The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
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What is the value of this expression when X equals 8? 4X -6+ X +3
Answer:
32-6+8+3
37
Step-by-step explanation:
Answer:
32 - 6 + 8 + 3 = 37
Step-by-step explanation:
Since we have the x-value, we can plug it in.
4(8) -6 +(8) +3
32 - 6 + 8 + 3
26 + 11
37
-3/8 divided by -1/4 equals
Answer:
3/2 or 1.5 or 1 1/2
Step-by-step explanation
To divide, you must switch the -1/4 to its reciprocal which is -4/1 and then multiply the fractions (-3/8 * -4/1) and since negative - negative = positive. It's a positive.
What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)
Answer:
(4, 10) and (7, 7.5) are the solutions to this system.
Step-by-step explanation:
You can see this by observing the two given points where the line and the parabola intercept. Those are the only two points where that will happen.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answer:
1. 2,160ft^3
2. multiply the total volume by 2.5
3. 5,400 BTUs
Step-by-step explanation:
hope this helps
The figure shown consists of a rectangle and quarter circle ?
Answer:
Can I have the numbers???
Step-by-step explanation:
One angle of a right triangle measures 60°. What is the measure of the other acute angle?
Answer:
30 degrees
Step-by-step explanation:
triangles have 180 degrees
right triangles have a right angle which is 90 degrees
180-90=90
90-60=30
Answer:
30 degrees
Step-by-step explanation:
A triangle has three sides that should add up to 180.
Since it is a right triangle a side has to be 90°.
90°+60°+_30°_ = 180°
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
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Answer:
She would have scored 75 points.
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
[tex]40x = 50*60[/tex]
Dividing both sides by 40
[tex]x = 50*1.5 = 75[/tex]
She would have scored 75 points.
Find the area of the circle. Round your answer to the nearest hundredth. 3 in
Answer:
28.27 or 28 rounded up.
Answer:
7.07 in²
Step-by-step explanation:
Diameter = 3 in ( shown in figure )
Radius = 1/2( diameter) = 1/2 (3) = 1.5 in
Area of a circle = πr²
Area = (3.14)(1.5)²
Area = (3.14)(2.25)
Area = 7.065 in
Area = 7.07 in² ( round off)
Solve the formula Ax + By = C for A
Explain how to find mode, range, and mean
Step-by-step explanation:
The mean is the usual average, so add all of the numbers and then divide.
The mode is the number that is repeated more often than any other.
The range is the largest value and smallest value subtracted.
Answer:
Answer bellow
Step-by-step explanation:
To find mean(average) get all the numbers and and add them together after devide the added number by the number of numbers
To find mode rewrite all the numbers and look for numbers that are repeating (it can be more than one)
To find range take the biggest number from the data set and subtract it from the smallest number in the data set
anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug
Answer:
36 feet :P
Step-by-step explanation:
4x9=36 habe a wonderful day love
Answer:
0.44. ??
Step-by-step explanation:
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
Solve the given proportion 2/4 = 5/x
The solution to the proportion 2/4 = 5/x is x = 10.
To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.
Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.
Using the given proportion:
2/4 = 5/x
Cross-multiplying:
2 * x = 4 * 5
Simplifying:
2x = 20
To isolate x, divide both sides of the equation by 2:
(2x)/2 = 20/2
Simplifying:
x = 10
Therefore, the solution to the proportion 2/4 = 5/x is x = 10.
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Find Equivalent Expression 1/2 (4x + 4)
Answer:
2x+2
Step-by-step explanation:
1/2(4x)+1/2(4)=2x+2
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
the first one, QPN and OPS
Explanation:
they're intersecting and opposites
hope that helped :)
Answer: OPN AND QPN I think (I’m so sorry if I’m wrong)
Step-by-step explanation:
Find the value of x. Round to nearest tenth. A=53sq.in.
Answer:
50sq.in
hope it helps.
Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31
Answer:
mean=28.8
median=31
Step-by-step explanation:
mean=sum of all values/number of all values
mean=40+45+7+21+31+40+45+7+21+31/10
=288/10
mean=28.8
Median
arrrange in order
7,7,21,21,31,31,40,40,45,45
in case of even ungrouped data median is the average of middle two values
= (31+31)/2
median =31
What is the solution to this equation?
2x + 10 = 28
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
What is c/6=9 equals to
c = 54
!!!_!£((£2((2)1)1)1
someone please help me answer this!
Answer:
c = 9.2m is the answer.
Step-by-step explanation:
a = 6m
b = 7m
c = ?
According to the Pythagoras theorem,
a² + b² = c²
6² + 7² = c²
36 + 49 = c²
c² = 85
c = 9.2m
∴ the distance between the school and the candy store is 9.2m
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Step-by-step explanation:
Hello friend nice to meet you....
Answer:
What ever you want it to be
Step-by-step explanation:
nooo
The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?
Answer:
1.578 × 109 inches
Step-by-step explanation:
Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.
First, write both numbers in scientific notation.
Now, multiply using the product property of exponents.
Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.
So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.
The question is down below.
AB=
Answer:
Step-by-step explanation:
This time we use the sin identity.
I am too lazy to write it out again but the answer is 6.97
Is 2/5 greater than 2/3?
Answer:
no because 2/3 is greater
Answer:
no
Step-by-step explanation:
2/5 and 2/3 can be turned into 6/15 and 10/15. you can clearly see 10/15 (2/3) is higher in value than 6/15.