Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Can someone help me?
Answer:
9.2 is the right answeer
Step-by-step explanation:
केविन अपनी छुट्टी के लिए स्नोबोर्डिंग जाना चाहता था। बताएं कि वह बॉक्स प्लॉट्स से बर्फबारी के आंकड़ों के आधार पर रिज़ॉर्ट ए या रिज़ॉर्ट बी में जाने के बारे में अपना निर्णय कैसे ले सकता है।
Answer: I ate my dogs bone
Step-by-step explanation:
one of the factor of 36 is
I will give brainiest pls
Answer:
C. 14 feet
Step-by-step explanation:
THIS IS TO FIGURE OUT THE TRIANGLE
You have to do the Pythagorean Theorem, which is a² + b² = c²
Since h is the entire piece of wood including the additional 2 feet, I will use m as variable for triangle
Fill in for variables: 5² + m² = 13²
Simplify: 25 + m² = 169
Subtract 25 from both sides: m² = 144
Square root both sides to get m alone: m = 12
Now, you have to add the additional 2 feet above the triangle: 12 + 2 = 14
Therefore, h=14
Answer:
12
Step-by-step explanation:
The only answer that makes sense. If you use pythagorean theorem which is a^2+b^2=c^2, and c is the hypotenuse, which is the slanting side, you do this
12^2+5^2=13^2?
144+25=169
169=169
it checks!
A new bank customers with 3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.1% a. How much interest will the customer earn in 20 years? b. What will be the account balance after 20 years?
Answer:
$660
Step-by-step explanation:
What is the approximate volume of a sphere with a diameter of 20 feet? Use 3.14 for it.
Answer:
4,188.79 and when its rounded its 4,188.8
Step-by-step explanation:
Volume of a sphere with a diameter of 20 feet is 4189.33 cubic feet.
What is Three dimensional shape?Three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given,
sphere with a diameter of 20 feet
Diameter is two times of radius
Diameter=2Radius
Radius =Diameter/2
Radius = 20/2=10 feet.
Volume of sphere=4/3πr³
π=3.142
Volume of sphere=4/3(3.142)(10)³
=4/3×3.142×1000
=4189.33 cubic feet.
Hence, volume of a sphere with a diameter of 20 feet is 4189.33 cubic feet.
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3x – 9y = -39
-3x – 7y = -25 systems of elimination
Answer:
y= 4 , x= -1
Step-by-step explanation:
3x-9y= -39
-3x-7y= -25
-16y= -64
y= -64/-16
y= 4
substitute y into any equation
3x -9(4) = -39
3x-36= -39
3x= -39+36
3x= -3
x= -3/3
x= -1
10/2
20/2
50/2
100/2
Answer:
10/2 =5
20/2=10
50/2=25
100/2=50
Which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
A.x = -2
B.x= 3
C.y=-8
D. y= 3x - 2
Answer:
Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.
Step-by-step explanation:
can anybody help? marking brainliest
Answer:
C
Step-by-step explanation:
The key here is she wants to make "at least", implying that you have an inequality. If she cecks the house 4 times plus the 2 overnight stays then she will have exactly 150, so that is the least needed to reach her goal. So at least automatically turns it into an inequality.
The inside of a rectangular swimming pool is going to be painted. The pool is 8 feet wide, 25 feet long, and 5 feet deep.
What is the surface area of the five faces to be painted?
Answer:
total area = 530 ft^2
Step-by-step explanation:
bottom = 8 x 25 = 200 ft^2
2 sides = 8 x 5 x 2 = 80 ft^2
2 other sides = 25 x 5 x 2 = 250 ft^2
200 + 80 + 250 = 530 ft ^2
Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answer:
£503.75
Step-by-step explanation:
Andy is buying a car.
Step 1
We calculate the decrease
He negotiated a 7% decrease on a £6 500 car.
Decrease = 7% × £6500
= $455
Step 2
We calculate the new price of the car.
= Old price - Decrease
= £6500 - £455
= £6045
Step 3
We calculate the amount he pays every month.
We are told that:
He will pay the full balance in 12 equal monthly payments.
Andy's monthly payments =
New price/12 months
= £6045/12
= £503.75
Therefore, the amount he would be paying each new month = £503.75
show your work please and thank you best anwser gets brainly
Answer:
a9
Step-by-step explanation:
5+4= 9 and its the same variable.
What is the rectangle area triangle area
Answer:
1,200 area of rectangle
20 x 40 divided by 2 = 400
both added will be: 1,600
What is the rule for the line
Answer:
B
Step-by-step explanation:
the slope is negative and the y intercept is -1
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WILL GIVE BRILLIANTIEST Select the better deal in the pair. Then give the unit rate for the better deal.
$90 $222
or
3g 69
The (select) y deal is better. The unit rate of the better deal is $
Vg.
Answer:
The first deal is better, unit rate is 30
Step-by-step explanation:
90/3 is 30, 222/6 is 37. 90 is the better deal
Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle. If the distance from balloon A to the ground is 1,400 feet, how far
is balloon B from balloon A? Round your answer to the nearest whole number
Balloon A
Balloon B
Ground
Charlie
999 feet
1,005 feet
1,052 feet
1,102 feet
Answer:
Step-by-step explanation:
Assume that B is directly above A.
x = horizontal distance between Charlie and balloons
= 1400/tan(60°)
altitude of B = x·tan(82°) ≅ 5751 ft
distance between A and B = 5751-1400 = 4351 ft, which doesn't fit any of the choices. So my initial assumption was incorrect.
Is there any other information? A picture?
The distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle
In right angle triangle ACD,
tanx = AC/CD
tan60 = 1400/CD
CD = 808.3
In triangle BDE,
tany = BE/DE
tan82 = 1400/DE
DE = 196.8
The distance between balloon A and balloon B:
= CD + DE
= 808.3 + 196.8
= 1005 Feet
Thus, the distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.
Learn more about trigonometry here:
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Write and Solve 2 Step Equations. Show all your work
15.) In a week, Tara earns $15 less than three
times what Carrie earns. Tara earns $105.
How much does Carrie earn?
Answer:
Carries earns [tex]40[/tex] dollars
Step-by-step explanation:
Given -
Tara earns $15 less than three times what Carrie earns.
Total earning of Tara [tex]= 105[/tex] dollars
Let "X" be the earning of Carrie
[tex]3X - 15 = 105\\3X = 120\\X = 40[/tex]
Carries earns [tex]40[/tex] dollars
What single decimal multiplier would you use to increase by 2% followed by a 1% increase?
Answer:
Suppose that you have an initial quantity A.
If you have an increase of X%, the new quantity (NQ) is written as:
NQ = A + A*(X%/100%) = A*(1 + X%/100%).
Now, if we have an increase of 2% then:
NQ = A*(1 + 2%/100%) = A*(1 + 0.02)
And no we have another increase of 1%, then:
NQ = (A*(1 + 0.02))*(1 + 1%/100%) = A*(1 + 0.02)*(1 + 0.01) = A*1.0302
The single decimal multiplier that you can use to increase by 2% followed by a 1% increase is 1.0302
PLEASE HELP WILL BRAINLIST (20 POINTS)
Answer:
x=2/3+1/3[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−4x−2=0
For this equation: a=3, b=-4, c=-2
3x2+−4x+−2=0
Step 1: Use quadratic formula with a=3, b=-4, c=-2.
Which set of ordered pairs does not represent a function? {(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)} {(-7, -3), (-6, -1), (-6,8), (6, -6)} {(6,2), (-8,1), (-7,1),(5,-2)}
Step-by-step explanation:
{(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)}
{(-7, -3), (-6, -1), (-6,8), (6, -6)}
Please help! With explanation! EASY FOR MOST
9514 1404 393
Answer:
(x, y, z) = (124, 112, 42)
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary, so ...
y° = 180° -68° = 112°
The angle marked 71° subtends an arc twice that measure, so ...
2(71°) = 100° +z°
z° = 142° -100° = 42°
The angle marked y° subtends an arc twice that measure, so ...
2y° = 100° +x°
x° = 2(112°) -100° = 124°
Plz help me to solve this question
Step-by-step explanation:
diagonals of the rhombus bisect each other at right angles .
5a = 90
a = 90/5 = 18
in ∆ OCD:
5a + 2a + b = 180
7a+ b = 180
b = 180 - 7 ( 18)
b = 180 - 126
b = 54 °
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.☺️
Answer:
a = 18°
[tex] b= 108\degree [/tex]
Step-by-step explanation:
ABCD is a rhombus.
AC and BD are its diagonals
Diagonals of a rhombus bisects at right angles.
Therefore,
5a = 90°
a = 90°/5
a = 18°
2a = 2*18° = 36°
Diagonals of a rhombus bisects the opposite angles.
Therefore,
[tex] m\angle ADC = 2(2a)[/tex]
[tex] m\angle ADC = 2\times 36\degree [/tex]
[tex] m\angle ADC = 72\degree [/tex]
[tex] m\angle ADC+m\angle DCB= 180\degree [/tex]
(Adjacent angles of a rhombus are supplementary)
[tex] 72\degree+b= 180\degree [/tex]
[tex] b= 180\degree-72\degree [/tex]
[tex] b= 108\degree [/tex]
which of the x values are solutions both of the following inequality 30> x and x > 15
Answer:
B and C
Step-by-step explanation:
its the answer trust me
Answer:
22 and 29
Step-by-step explanation:
22 is less than 30 but greater then 15
29 is less than 30 but greater than 15
solve the following equation
-3x = 27
Answer:
x= - 9
Step-by-step explanation:
x = 27 / - 3
x = -9
Hope this helps
Answer:
x=9
Step-by-step explanation:
-3x=27
or, x=27/-3
or, x= -9
Choose the model that represents the same function as the graph of f(x)
Answer:
x × 1/2 - 3
Step-by-step explanation:
in slope intercept form an equation is written in y=mx+b where m is the slope and b is the y intercept
from the graph you can see the line goes up 1 and right 2, up 1 right 2, etc. that means the slope is positive 1/2
the line cross the y access at -3, therefore the y intercept is -3
so
[tex]y = \frac{1}{2} x - 3[/tex]
Hiya! Can you guys help me? For all the four questions? It would mean a lot to me, thank you! I also ask if you guys can explain the steps! Thanks. <3
Answer:
A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units
Step-by-step explanation:
1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.
A = πr²
A = (3.14)(3)²
A = (3.14)(9)
A = 28.26 cm², like in your work.
2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.
P = 2l + 2w
P = 2(12) + 2(7)
P = 24 + 14
P = 38 units
3) The formula for a triangle's area is A = [tex]\frac{1}{2}[/tex]bh, so we substitute for b = 10 and h = 4.
A = [tex]\frac{1}{2}[/tex] bh
A = [tex]\frac{1}{2}[/tex] (10)(4)
A = [tex]\frac{1}{2}[/tex] (40)
A = 20 units²
4) Circumference is 2πr, and we substitute for r = 7.
C = 2πr
C = 2(3.14)(7)
C = (3.14)(14)
C = 43.96 units
True or false
hey is for horses
Answer:
false.
hay is for horses, not hey
Step-by-step explanation:
1. James has 43 game coins. James has 7 more than 4 times as many game
coins as Steven. If x represents the number of game coins Steven has,
which equation can be used to determine the possible number of game
coins Steven has?
A 7x + 4 = 43
1
B 4x - 7 = 43
a 7 + 4 = 43x
D 4x + 7 = 43
2:15 PM
3/1/2021
Plz help me it due in like ten minutes
plz help
Solve the right triangle that has legs 3m and 4m.
Answer: 5m,37,53
When you use the pythagorean theorem u find 5m
