Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
Mrs. Jones bought 250 apples for $22 500. She sold 50 for $120 each, and the remain
she sold 5 for $1 000 a parcel.
(a) State whether she made a profit or loss.
(b) Calculate her percentage profit or percentage loss.
Step-by-step explanation:
Answer:
(a) yes
(b) 104% profit
Step-by-step explanation:
250 apples for $22,500
Part 1:
50x$120=$6000
Part 2:
200 sold at $1000 per 5 apples=200/5x1000=$40,000
$40,000+$6000=$46,000
A profit of $23,500
23500/22500=1.044 or 104% profit
Step-by-step explanation:
A 52 foot piece of fishing line needs to be cut into 2 1/2 sections to make as many fishing rods as possible. How much of the fishing line will be left over?
1.Evaluate: 144/16
2.Evaluate: 13.5 x 17
PLSSSS HELP
Answer:
1. 144 : 16 = 9
2. 13.5 x 17 = 229.5
how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
Tell which number is greater.
0.086, 86%
Answer:
86%
Step-by-step explanation:
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
The sum of all the solutions of the equation: (10x − 3a )(3x + 39)(5x − 3) = 0 is (
− 1).
Find a.
Please help!!
2627828818182-718818288281-288181991_2792901=72892992
Answer:
[tex](10x - 3a)(3x + 39)(5x - 3) = 0 \\ dealing \: with \: (10x - 3a) \: and \: (5x - 3) \\ (10x - 3a)(5x - 3) = 0 \\ 50 {x}^{2} - (30 + 15a)x + 9a = 0 \\ sum \: of \: the \: equation \: = (30 + 15a) = - 1 \\ 15a = - 31 \\ a = - \frac{31}{15} [/tex]
Write 54.039 in word form
Answer:
54.039 in word form is: fifty-four and thirty-nine thousandths.
Step-by-step explanation:
The word "thousandth" represents the order of an element in a set that occupies the position equivalent to the number thousand. In this case, the symbol "." Between the numbers shows us that there is a number in the position equivalent to the number thousand, so we must add the word "thousandth" when the number shown in the question needs to be written in word form. Thus, we can conclude that the correct way to write 54,039 in word form is "Fifty-four and thirty-nine thousandths."
A sales person at a Jewwlry store earns 5% commission each week. last week ,Heidi sold $640 worth of jewelry. Home much did she make in commission? How much did the jewellery store make from her sale?
Answer:
224
Step-by-step explanation:
5 percent of 640=32
32 times by 7=224
8h + (-6.7d) - 15+ 4d-2.6h.
Answer:
5.4h-2.7d-15
Step-by-step explanation:
8h minus 6.7d minus 15 plus 4d minus 2.6h
using the knowledge or principle of algebra
5.4h minus 2.7d minus 15
A cyclist travels 4miles in 15 minutes. What is her average speed in mph?
Answer:
5
Step-by-step explanation:
Hence, the average speed to the cyclist is 16mph.
What is speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
How to solve?We know,
distance covered = 4 miles
time taken = 15 minutes = [tex]\frac{1}{4}[/tex]hours
speed = [tex]\frac{4}{\frac{1}{4} }[/tex] = 16
Hence, speed is 16.
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The orbit of the Moon around the Earth is an ellipse with Earth at one focus. If the length of the major axis of the orbit is 477,736 miles and the length of the minor axis is 477,078 miles, find the minimum and maximum distances from Earth to the Moon. Round to the nearest whole number.
Answer:
226,335
251,401
Step-by-step explanation:
SKR SKR BOW
The minimum distance from Earth to Moon is 226,332 miles
The maximum distance from Earth to Moon is 251,401 miles
What is an Ellipse?
An ellipse is created by a plane intersecting a cone at the angle of its base
All ellipses have two foci, a center, and a major and minor axis
The sum of the distances from any point on the ellipse to the two foci gives a constant value
The value of eccentricity for all ellipses is less than one
The standard for of equation of ellipse is
( x²/a² ) + ( y²/b² ) = 1
where a > b
The length of the major axis = 2a
The length of the minor axis = 2b
The coordinates of foci = ( ±c , 0 )
where c² = a² - b²
Given data ,
The orbit of the Moon around the Earth is an ellipse with Earth at one focus
The length of the major axis 2a = 477,736 miles
The length of the minor axis 2b = 477,078 miles
Now , the value of a = 238,868 miles
The value of b = 238,539
Now , the maximum distance from earth to moon is = a + c
The minimum distance from earth to moon is = a - c
The value of the foci is given by c² = a² - b²
Substituting the values in the equation , we get
c² = ( 238,868 )² - ( 238,539 )²
c² = 157066903
Taking square roots on both sides , we get
c = 12532.63 miles
Now , maximum distance from earth to moon is = a + c
Maximum distance = 238,868 + 12535.63
= 251,400.63 miles
≈ 251,401 miles
Now , The minimum distance from earth to moon is = a - c
Minimum distance = 238,868 - 12535.63
= 226,332.37 miles
≈ 226,332 miles
Hence ,
The minimum distance from Earth to Moon is 226,332 miles
The maximum distance from Earth to Moon is 251,401 miles
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What is the value of s?
Step-by-step explanation:
Sum of angles in a triangle = 180°.
=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°
=> 9/7 * s° = 180°
=> s° = 180° * (7/9) = 140°
Hence the value of s is 140.
Please help!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answer :
Sum = 2x-7 + (-2x) and equivalent expression = -7
Step-by-step explanation:
First number is (2x-7) and other number is opposite of 2x i.e. (-2x).
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Removing parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
Triangle ABC has vertices A(-4, 1), B (-1, 3) and C (-1, 1). what would the vertices be if you graphed it’s reflection over the y axis
If this coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)
Generally, if a coordinate (x, y) is reflected over the y-axis, the coordinate of the pre-image is (-x, y).
Note that the x-coordinate was negated while the y-coordinate remain the same.
Given the coordinate vertices of a triangle A(-4, 1), B (-1, 3) and C (-1, 1), if these coordinates are reflected over the y-axis the resulting coordinate will be at A'(4, 1), B'(1, 3) and C'(1, 1)
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Please provide the answer and an explanation.
Answer:
A = 37.1 square cm
Step-by-step explanation:
Composite Figures
The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.
The area of a rectangle of dimensions W and L is:
Ar = WL
And the area of a circle of radius r is:
[tex]Ac =\pi r^2[/tex]
A quarter of a circle has an area of:
[tex]\displaystyle A_q =\frac{\pi r^2}{4}[/tex]
The rectangles have dimensions of 5 cm by 3 cm, thus the area is:
Ar = 5 cm * 3 cm = 15 square cm
The quarter of a circle has a radius of r=3 cm, its area is:
[tex]\displaystyle A_q =\frac{\pi 3^2}{4}[/tex]
Calculating:
[tex]\displaystyle A_q =7.07\text{ square cm}[/tex]
The total area is twice the area of each rectangle plus the area of the quarter of a circle:
A = 2*15 + 7.07
A = 37.07 square cm
To the nearest tenth:
A = 37.1 square cm
What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?
The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
It is given that a point (6,-2) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (6,-2) is rotated 90° counterclockwise about origin.
Let's assume (6,-2) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
(6 , -2) = (-2,6)
So ;
The new point will be ;
= (-2 , 6)
Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
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find the value of sin 0 in each of the following figures.
Answer:
sinθ = [tex]\frac{8}{10}[/tex]
Step-by-step explanation:
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex]
Answer:
sin theta=p/h
=BC/AC
=8cm/10cm
=4cm/5cm
Hope it helps you.
For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
Please help me with Math and show how you got the answer.
Answer:
Step-by-step explanation:
2.5:3.5 = 1:1.4
1 3/4 : 2 11/12 = 1:5/3
5/3 > 1.4 so megan gets more cookies
so kaitlyn uses more
PLEASE HELP ASAP I REALLY NEED IT
Answer:
81
Step-by-step explanation:
8^2 + 2 * 8 + 1
= 64 + 16 + 1
= 80 + 1
= 81
how do i work this out please?
Answer:
[tex]5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} [/tex]
hope this helps.
Answer:
[tex]11 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]8 \sqrt{7} + 3 \sqrt{7} [/tex]
[tex] \sqrt{7} (8 + 3) [/tex]
[tex]11 \sqrt{7} [/tex]
PLEASE HELP!!!
Which algebraic expression is a polynomial with a degree of 3?
A) 4x3 – StartFraction 2 Over x EndFraction
B) 2y3 + 5y2 – 5y
C) 3y3 – StartRoot 4 y EndRoot
D) –xyStartRoot 6 EndRoot
Answer: B. 2y3 + 5y2 – 5y
Step-by-step explanation: From the expression 2y3 + 5y2 – 5y, the highest degree of the polynomial is 3. Hence, 2y3 + 5y2 – 5y is a polynomial with a degree of 3.
Answer:
the person on top is right its B
Step-by-step explanation:
but i got it because the assignment on edge said it's right
please help . me . i will even help . you mark you brainliest
A = Not sure
B= 12.0
Hope I helped
please solvee :))
5/24 × 69
Answer:14.37500
Step-by-step explanation:
Answer:
14.375
Step-by-step explanation:
Look at the system of equations:
2x + 6y = 10
5x + 15y =25
(HINT: solve for y=mx+b to graph!)
Which of these statements is correct?
A. The system has no solution
B. The system has an infinite number of solutions
C. The system has one solution at (-1,2)
D. The system has one solution at (5,0)
Answer:
B
Step-by-step explanation:
Both C and D solve the equations, so the system must have infinite solutions.
5x-2y=30 complete the missing solution to the equation
Answer:
I would have to go with x = 8 and y = 5, meaning the solution is (8, 5).
Step-by-step explanation:
[tex]5x - 2y = 30[/tex]
[tex]5(8) - 2(5) = 30[/tex]
[tex]40 - 10 = 30[/tex]
[tex]30 = 30[/tex]
Which point is a solution of the inequality 5x – 2y > -4?
A= (-4,-8)
B= (-2,-9)
C= (-4,5)
D= (-6,3)
Answer is Option-B
What is Inequality:
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, when we substitute B = (-2, -9) in given inequality equation i.e.,
5(-2) - 2(-9) > -4
-10 + 18 > -4
8 > -4 (Satisfied)
Others options won't satisfies.
Answer is Option-B
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what is 9.76 with 8% tax
sidh is making fruit salad. His recipe calls for pound of watermelon. He wants
to make of the amount of fruit salad in the recipe. How much watermelon
does Sidh need?
more than pound
less than 2 pound
exactly 1 pound
exactly pound
My Progress >
Answer:
it will be 3/4