The quadratic equation [tex]2x^{2}+3x-5=0[/tex] has a discriminant of 49.
In mathematics, a discriminant is a parameter that can be determined for an object or system to help with its classification or solution. If the discriminant is positive, the roots of a quadratic or cubic equation with real coefficients are real and distinct, if the discriminant is zero, the roots are real with at least two equal, and if the discriminant is negative, the roots include a conjugate pair of complex roots.
For an equation, [tex]ax^{2}+bx+c=0[/tex]
Discriminant, D = [tex]b^{2}-4ac[/tex]
Given in question,
[tex]2x^{2}+3x-5=0[/tex]
a = 2
b = 3
c = -5
D = [tex]3^{2}[/tex] - 4(2)(-5)
= 9 + 40
= 49
Hence, the discriminant and nature of roots of [tex]2x^{2}+3x-5=0[/tex] is 49.
Correct Question :
What is the discriminant and nature of roots of [tex]2x^{2}+3x-5=0[/tex] ?
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Can someone help me please
Answer:
B!
Step-by-step explanation:
Hope this helps :))
Answer:
B) 60 square inches
Step-by-step explanation:
They are asking for the area of the triangle. The formula for area is (length × width) ÷ by 2 = area
so, (8 × 15) ÷ 2 = 60 square inches
Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
75 in2
150 in2
300 in2
600 in
Answer: d
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m, find its breadth
Answer:
d=2m
Area(A)=196m
l=60m
Now,
A=d(l+b-d)
196=2(60+b-2)
196=2(58+b)
196=116+2b
2b=196-116
2b=80
b=40m
giving brainliest pls answer
Answer:
8π cubic units
Step-by-step explanation:
V = (4πx 6)/3 = 8π cubic units
Use a net to find the surface area of the cone to the nearest
square centimeter. Use 3.14 for it.
23 cm
(The figure is not drawn to scale.)
The surface area of the cone is about cm2.
(Round to the nearest whole number as needed.)
Answer:
[tex]V=497.16\ cm^3[/tex]
Step-by-step explanation:
The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Substitute all the values,
[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]
So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].
40 POINTS!!!! can you guys please answer these? and make sure they are right!! please hurry im taking this test at the moment!!
Answer:
1) ?
2) B
3) x = 2*
4) x = 0
5) B
6) y = -5x + 4
7)?
Step-by-step explanation:
1) 5(4x + 2y) - y = 20x + 10y + y = 20x + 9y = 20x + 9y
2)* Any value of x makes the equation true. All real numbers. (You may say x = 2 or anything else).
Interval Notation:
(−∞,∞)
I really need help! On either one!!
Answer:
512 cm3252 cm2Step-by-step explanation:
The first dimension to measure is length. Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap but is always the side shorter than the length. Measure the height of the package. Height is the only dimension without a flap.Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)Perimeter of the rectangle = PQ + QR + RS + SP
= b +l + b + l
= 2b +2l
Again,
ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.
Perimeter of a Rectangle
AB = CD = 5 cm and BC = AD = 3 cm
So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm
It can be written as 5 cm + 5 cm + 3 cm + 3 cm
= (2 × 5) cm + (2 × 3) cm
= 2 (5 + 3) cm
= 2 × 8 cm
= 16 cm
We add length and breadth twice to find the perimeter of a rectangle.
Describe how to find the square of -12
How do u make 4.5 m to *what* cm?
Answer:
To convert any value in meters to centimeters, just multiply the value in meters by the conversion factor 100. So, 4.5 meters times 100 is equal to 450 centimeters.
Ms. Sanchez has $200 to spend on parking and admission to a museum. The parking will cost $10 and admission tickets cost $15.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the museum, including herself.
Answer:
12 people including herself
Step-by-step explanation:
x = number of people
($200 - $10)/$15.50 = x
x = 12.26
p + -35 = 25 what would be p
Answer: p=60
Step-by-step explanation: Hope this help :D
Rewrite y= 7/16x+14 in standard form
Answer:
7x - 16y = -224
Step-by-step explanation:
Standard Form:
Ax + By = C
y= 7/16x+14
-7/16x + y = 14
(Multiply everything by 16)
-7x + 16y = 224
(Multiply everything by -1)
7x - 16y = -224
9. State Bank pays 5.5 percent interest compounded semiannually on regular
savings accounts. Iva Howe deposited $2,800 in a regular savings account for
2 years. She made no other deposits or withdrawals during the period. How
much interest did her money carn?
4) If there was a coupon for 40% off, what is the final deconstructed
percent written as a DECIMAL? *. A.1.4
B.0.6
C.0.4
D.60%
Answer:
c
Step-by-step explanation:
Think of it like this. When you convert a percent to a decimal, just put a decimal point before the number. For example, 40%. You would put . before 40, making it 0.40, and you don't need the zero, so it becomes 0.4. For something like 8%, you would first put a zero before the 8, and then put a period before the zero, like so: 8%= 08%=0.08
Help please!! Will mark brainstest!!
Scatter Plot is in the picture.
It says write an equation for the trend line.
A) y=-12.5x+250
B) y=12.5x+250
C) y=6.25x+225
D) y=-6.25+225
If you deposited $10,000 in to a bank savings account on your 18th birthday....Said account yielded 3% compounded a nnually, how much money would be in your account on your 58th birthday?
Answer:
$32600
Step-by-step explanation:
Given data
Principal= $10000
Rate= 3%
Time= 58-18= 40 years
The compound interest expression is
A=P(1+r)^t
Substitute
A=10000(1+0.03)^40
A=10000(1.03)^40
A=10000*3.26
A=$32600
Hence the amount at the 58th birthda is $32600
Help please ASAP
Give brainiest if correct.
What do I have to do?
The points in the table lie on a line. What is the slope?
The slope is 1/2, I explain in the other question
What is BD?
C
X + 5
B
х
12
27
А
BD =
This Question Can't be anwsered, Because there is nothing on the right hand side of the equation.
1) What is the value of the expression 3 4 + 15.45 - 19.75 + 7.87?
Answer:
37.57
Step-by-step explanation:
34 + 15.45 - 19.75 + 7.87
34 + 15.45 = 49.45
49.45 - 19.75 + 7.87
49.45 + 7.87 = 57.32
57.32 - 19.75 = 37.57
Kaitlin has been given a list of bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?
Complete question :
Kaitlin has been given a list of 5 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list. How many different votes are possible?
Answer:
20 different votes
Step-by-step explanation:
Total number of bands = 5
To select her favorite ; she chooses 1 from the five ;
Number of bands left = 4
From. The 4 she chooses one ; which is her second favorite
Number of different votes possible :
Favorite selection * second favorite selection
(5 * 4) = 20 different votes.
Esh deposits $3500 in an account that
earns 3.75% interest each year. After the
first year, Esh has $3631.25 in the account.
After the second year, Esh has $3767.42 in
the account, and after the third year Esh has
$3908.70 in the account.
Answer:
Compound interest
Step-by-step explanation:
The question requires us to determine if the interest earned is a simple or compound interest
Simple interest = amount deposited x time x interest rate
Future value with compounding = A( 1 + r)^n
A = amount deposited
r = interest rate
n = time
We would calculate the simple interest and the future value in year 2
Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50
Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50
Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42
The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done
.................................................6y=8x
Answer: look at the picture
Step-by-step explanation: Hope this help :D
someone help me with math homework
I hope this helps you
8/4=8/4=18/9=2
Side - Side - Side
Answer:
SSS~Explanation:
All corresponding sides have the same ratio
Help please man please
Answer: 7
Step-by-step explanation:
3(x-5)=9 i don't know what to do
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5) = 9
(3(x-5))/3 = 9/3
x-5 = 3
x-5+5 = 3+5
x=8
What is the solution to the equation: 3x + 5 = 3x − 5
Answer:
no solution
Step-by-step explanation:
Answer:
the answer is no solution
Step-by-step explanation:
HELPPP ASAP!! 10TH GRADE GEO
Answer:
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
Step-by-step explanation:
In the given circle, [tex] \overline{EG} [/tex] is diameter and [tex] \overline{EH} [/tex] is tangent at point E.
[tex]\therefore \widehat {EFG} [/tex] is a semicircular arc.
Since, measure of semicircular arc is 180°
[tex]\therefore m(\widehat {EFG})=180\degree... (1)[/tex]
[tex]\because m( \widehat {EF}) +m(\widehat {FG}) = m(\widehat {EFG}) [/tex] .... (2)
From equations (1) & (2)
[tex]\therefore 134\degree +m(\widehat {FG}) = 180\degree[/tex]
[tex]\therefore m(\widehat {FG}) = 180\degree-134\degree [/tex]
[tex]\therefore m(\widehat {FG}) = 46\degree [/tex]
By inscribed angle theorem:
[tex] m\angle FEG =\frac{1}{2} m(\widehat {FG} ) [/tex]
[tex] m\angle FEG =\frac{1}{2} \times 46\degree [/tex]
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
By tangent secant theorem:
[tex] m\angle FEH=\frac{1}{2} (46\degree +180\degree) [/tex]
[tex] m\angle FEH=\frac{1}{2} (226\degree) [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
CAN SOMEONE HELP ME PLS TELL ME THE LETTER ANSWER CHOICE!!!!!!!!!!!!!!!!!!!1;))))))))))))))))))))))
Answer:
C
Step-by-step explanation:
27÷12=2.25
Each gallon costed 2.25$
Emilia wants to visit her family in Mexico. The exchange rate is 15 Mexican Pesos for every US Dollar How much money in US currency does she need to bring with her if she wants to have an allowance of 3,525 Mexican Pesos during her short visit?
Answer:
use cymath.
Step-by-step explanation:
Answer:
$235
Step-by-step explanation:
3525/15 is the exchange rate which equals $235
BRAINLY TO WHOEVER HELPS
Answer:
9: D 10: A
Step-by-step explanation:
Answer:
9 is a
Step-by-step explanation: