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 .
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
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
one of the factor of 36 is
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:
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.
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
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
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
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.
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!
Can someone help me?
Answer:
9.2 is the right answeer
Step-by-step explanation:
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
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.
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
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°
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:
brainly.com/question/26719838
#SPJ2
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
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:
What is the rule for the line
Answer:
B
Step-by-step explanation:
the slope is negative and the y intercept is -1
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
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
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]
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]
True or false
hey is for horses
Answer:
false.
hay is for horses, not hey
Step-by-step explanation:
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:
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
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)}
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.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
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
