The roots of the Given quadratic equation are 0.57 and -2.9 solved using the algebraic method.
The given equation is a quadratic equation because the degree of the given equation is 2.
How can one tell whether or not a given equation is a quadratic equation?
A quadratic equation is a two-variable polynomial equation of degree two of the form [tex]f(x) = ax^2+bx+c = 0[/tex] with the variables a, b, and c being real numbers and a not equal to 0. With "a" denoting the leading coefficient and "c" denoting the absolute term of f, it is a quadratic equation in its general form (x). The values of x that fulfil the quadratic equation are known as the roots.
The given equation is 3x²+7x - 5 = 0 a =3,b=7, c =-5
lets roots of the given equation is (α, β).
roots can be found using Shreedhara Acharya's formula.
[tex](\alpha, \beta) = [-b \± \sqrt(b^2 - 4ac) ]/2a[/tex]
α = [-b + √(b^2 – 4ac)]/2a
β = [-b - √(b^2 – 4ac)]/2a
b^2 – 4ac = 49-4*3*(-5) = 49+60 = 109
α = (-7+[tex]\sqrt{109}[/tex])/2*3
α = (-7+10.44)/6
α = 0.57
β = (-7 - 10.44)/6
β = -2.9
So the roots of the Given quadratic equation are 0.57 and -2.9.
-- The given question is incomplete, the complete question is
"What will be the roots of the equation 3x^2+7x-5=0" --
To know more about quadratic equations here
https://brainly.com/question/29011747
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Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.
she will need two more hours to buy the dress
What steps transform the graph of y = x? to y = -(x + 3)2 + 5?
translate 3 units to the right, translate down 5 units
translate 3 units to the left, translate up 5 units
o reflect across the x-axis, translate 3 units to the left, translate up 5 units
reflect across the x-axis, translate 3 units to the right, translate down 5 units
Answer: reflect across the x-axis, translate 3 units to the right, translate down 5 units and look at the picture
Step-by-step explanation: Hope this help :D
The slope of a line can tell you
Choose all that apply.*
how steep the line is.
the length of the line.
if the line is positive or negative
plsss help
Find the area of the semi circle with a radius of 2 feet
Answer:
area of semi circle πr=π×2=44/7 feet²
[tex]Simplify:\sqrt{64x^8y^2z^1^2}[/tex]
Answer:
theres nothing here....
Proof! Please help <3
HELP ME ASAP!!!!!!!
See pic attached.
WINNER PLEASE FRIEND REQUEST ME AND I'LL ACCEPT AND PLUS YOU'LL GET BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT! Good Luck!
Answer:
4250 children.
Step-by-step explanation:
72 - 38 = 34
34 degrees = 578 people
/34 /34
1 degree = 17 people
72 + 38 = 110
360 - 110 = 250
17 * 250 = 4250 children.
9. A right triangle is drawn in a circle, as shown in the picture below. The legs of the right triangle are radii and have a length of 6.8 centimeters. What is the length, in centimeters, of the hypotenuse to the nearest tenth
Answer:
B.9.6cm
hope it helps. good day if I'm wrong tell me.
Please help! Will give good rating
Answer:
88 ft²
Step-by-step explanation:
Find the area of the shaded region:
8x16= 128
Find the area of the un-shaded region:
5x4=20
20x2 regions= 40 ft² total
since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region
128-40= 88
A= 88 ft²
PLEASE ANSWER FAST I'M BEING TIMED!
What additional piece of information must be known in order to calculate the volume of the cylinder below?
A cylinder with radius of 7 inches.
a) the diameter of a base
b) the height of the cylinder
c) the area of a base
d) the radius of a base
Answer:
the height, the formula for violume of a cylinder is pi * r^2 * h
Step-by-step explanation:
Answer:
D. the radius of a base.
Step-by-step explanation:
Find the lateral surface area of a cylinder with a base radius of 7 inches.
is this a function ? explain your reasoning.
can someone help me pleasee !
52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the
ladder reach up the side of the building?
9514 1404 393
Answer:
32.5 ft
Step-by-step explanation:
The length of the side opposite the given angle is found using the sine relation:
Sin = Opposite/Hypotenuse
height on building = (33 ft)·sin(80°) ≈ 32.5 ft
The ladder reaches about 32.5 feet up the side of the building.
_____
Additional comment
The maximum angle compliant with OSHA safety rules is 75.5°.
PLEASE HELP PLEASE ASAP
Step-by-step explanation:
Range = Largest number in list - Smallest Number in list
[tex] = 7 - ( - 3) \\ = 7 + 3 \\ = 10[/tex]
Answer:
10
Step-by-step explanation:
7 - (- 3) =
7 + 3 =
10
10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters
longer than the width. If the area of the room will be 150 square meters, what are the
dimensions?
Answer:
L = 15 m, b = 10 m
Step-by-step explanation:
Let width of the rectangle be b.
Length = 5+b
The area of the rectangle is 150 sq meters.
The area of rectangle is given by :
A = lb
So,
[tex]150=b(5+b)[/tex]
It is a quadratic equation. The solution of this equation is :
b = -15 m and 10 m
Neglecting -15, the width of the rectangle is 10 m.
Length = 5+10
= 15 m
So, the dimensions of the room are 10 m and 15 m.
Which is the correct answer?
Answer:
The first one
Step-by-step explanation:
Round the number to the nearest tenth.
5.19
Hint: Do not leave a zero in the
hundredths place.
Which of the following functions has a range of f(x) 2 2?
O A. f(x) = 2x + 8
OB. f(x) = 4x + 2
O C. f(x) = (x - 1)2 + 2
O D. f(x) = -x2 + 2
Answer:
A.f(x)=2x+8
22=2x+8
-8+22=2x
14/2=2x/2
7=x
x=7
B.f(x)=4x+2
22=4x+2
-2+22=4x
20/4=4x/4
5=x
x=5
5 teams are at an athlic evenr. The teams all have the same number of players.The head coach ask for 2 players from each team to healp fill water bottles.There are a total of 80 players left
Answer:
36 left
Step-by-step explanation:
can someone help me plss
Answer:
3 is vertical
1 is same side interior
2 is correspnding
4 is straight angles
Step-by-step explanation:
A negative number with an absolute value less than
-4 and 4 was incorrect so no about those
Answer:
what are u trying to say
Step-by-step explanation:
No files!!! A expert or somebody pls help with me!!! Math.
Answer:
Number 3 is c)6.28cm
Number 4 is b)20.94
Number 5 is b)12.56m2
HELP! i don’t understand and it’s due today.
Answer:C
Step-by-step explanation:sorry if i get it wrong
Answer:
A
Step-by-step explanation:
A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.
Answer:
So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.
Step-by-step explanation:
brainliest?
HI ME AGAIN I WOULD APPRECIATE IF YOU CAN HELP
Answer:
75 students were surveyed!
Step-by-step explanation:
strawberry: 25
coffe: 35
vanilla: 10
fudge ripple: 5
Just add that all together
[tex]25 + 35 = 60[/tex]
[tex]10 + 5 = 15[/tex]
[tex]60 + 15 = 75[/tex]
so 75
can i get help please so much :)
Answer:
Mean: 76.6 (rounded the original number- 76.571)
Median: 75
Mode: 75
Range: 49
Standard Deviation: 14.50 (i round it, original number- 14.4504)
Step-by-step explanation:
I calculated everything, please lemme know if any of it is wrong!
Help me out pleaseeeeeeeeee!!!!!
Answer:
8.001 percent
Step-by-step explanation:
the numbers of people that auto race divided by the total number of people who took the survey multiplied by a hundred
Answer:
8%
Step-by-step explanation:
in order to find the probability that a random adult from the 2237 will like auto racing we need to divide the number of people who prefer auto racing by the total number of adults
179/2237≈0.08
8%
Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.
[tex]\\ \rm\Rrightarrow 2x+3x+5x=30000[/tex]
[tex]\\ \rm\Rrightarrow 10x=30000[/tex]
[tex]\\ \rm\Rrightarrow x=3000[/tex]
2x=60003x=90005x=15000Alexa likes watching the show Engineering Marvels.
In last night's episode, the engineering team visited
a tall skyscraper and a deep mine. A banner at the
bottom of the screen showed the elevation of each
location the team visited.
Location Elevation (m)
Top of the skyscraper 275
Bottom of the mine
-260
Which location is closer to sea level?
Answer:
Bottom of the mine
Step-by-step explanation:
I'm assuming sea level is 0, so if it's not I'm wrong. To find the distance, you can't have a negative distance, so if there's a negative or really any number use it's absolute value. Is 260 greater or less than 275? Less than, meaning it's closer to 0.
Is this right? Please help me
Answer: Thats correct
Solve for a. Please
1+4a<9
Answer:
a < 2
Step-by-step explanation:
Answer:
I dont know
but 5b<10?
Step-by-step explanation:
I dont know