Consider the quadratic equation 3x^2-6=2x. (a) What is the value of the discriminant? (b) What does the discriminant of the quadractic equation tell about the solutions to 3x^2-6=2x?
Answer:
(a) discriminant is positive, 76
(b) the above tells you there are two real roots
Step-by-step explanation:
the discriminant is 'b² - 4ac'
3x² - 2x - 6 = 0 ∴ a = 3, b = -2, c = -6
(-2)² - 4(3)(-6) = 4 + 72
(a) The discriminant of the quadratic equation is positive, 76.
(b) The quadratic equation tells you there are two real roots.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The discriminant of a polynomial in mathematics is a quantity that depends on the coefficients and enables inference of some root features without computing them.
Given that the quadratic equation 3x²-6=2x.
The discriminant Of the quadratic equation is calculated by the formula below:-
D = b² - 4ac
3x² - 2x - 6 = 0 ∴
a = 3, b = -2, c = -6
Put the value of the coefficient to get the value of the discriminant.
D = (-2)² - 4(3)(-6) = 4 + 72 = 76
Therefore, the discriminant of the quadratic equation is positive, 76, and the quadratic equation tells you there are two real roots
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What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
621.72 round to the nearest whole number
Answer:
622
Step-by-step explanation:
Please mark brainliest
Answer:
Hi! The answer to your question is 622
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
When Ben does his math homework, he finishes 10 problems every 7 minutes. At this rate, how long will
it take him to complete 35 problems?lols please help.
Answer:
in 7 minutes he solve 10 problems
he solve one problem in = 7/10= 0.7 minute
he solve 35 problem in = 0.7x35= 24.5 minute
Step-by-step explanation:
hope it helps ❤️
PLEASE HELP
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
x= ____
y= ____
Please help I’ll mark brainliest
Answer:
y= x-3
Step-by-step explanation:
use the slope formula which is y= m(slope)x + b(y intercept)
The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.
Hope this helps :)
Use the distributive property to simplify each expression.
(-5d + 1) (-2)
Answer: 10d-2
Step-by-step explanation:
Answer:
10d - 2
Step-by-step explanation:
Multiply each term inside parentheses by -2, separately:
10d - 2 (answer)
Can someone please help me
Answer:
3. Add 11, then multiply by 3
4. Subtract 43, then multiply by 9
Step-by-step explanation:
Does that make sense?
I had 3 apples. I add 2 more apples. How many apples do I have?
Answer:
5 lol
Step-by-step explanation:
Answer:
5 im so smart :)
Step-by-step explanation:
Solve for x:
3x + 2 = 11
A.
11
5
B. 3
11
13
D.
13
3
E. 6
Answer:it is b
Step-by-step explanation:
explain why conductivity is a good measure of the salinity of water?
Answer:
Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.
Step-by-step explanation:
What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom. A. 61.5 square feet B. 61.75 square feet C. 65.25 square feet D. 69 square feet
Answer:
69
Step-by-step explanation:
the formula is 2( base x height) + 2 (base x width) + 2( height x width)
do that for top rectangle and bottom and add them together
Answer:
65.25 square feet.
Help please. Question below.
Solve for x. Round your answer to the nearest tenth (one decimal place).
Answer:
[tex]\displaystyle x \approx 6.7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 78°
Adjacent Leg = x
Hypotenuse = 32
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides: [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate: [tex]\displaystyle x = 6.65317[/tex]Round: [tex]\displaystyle x \approx 6.7[/tex]3 ( x + 8) = ?
show work please!!
Answer:
Step-by-step explanation:
3(x + 8)
3x + 24
That's all I got. The image is so blurry that I am uncertain how to proceed.
If you are able to describe what the image says, I can definitely answer the question
X-15>-20
Please help first answer gets brainliest
Answer:
x > -5
Step-by-step explanation:
hope this helps :)
Answer:
x>-5
Step-by-step explanation:
X-15>-20
Add 15 to both sides;
x-15+15=>-20+15
simplify
x>-5
Hope this helped!
Helped by none other than the #QUEEN herself aka # DrippQueenMo
which equation can be used to solve for x in the diagram?
a- 11x = 7x
b- 7x + 90 = 11x
c- 7x + 11z = 180
d- 7x + 11x = 90
Answer:
The answer is D. 7x + 11x = 90
A graph of a system of two equations is shown. HELP!!!!!
Answer:
8 and 2
Step-by-step explanation:
8 and 2 because y=5x +3 would be 5+3 which is 8 and y= 3x - 1 would be 3 - 1 which equals 2.
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people.
Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Area of Orchid Hill (in square miles)
The dimension of the neighborhood is 4 blocks by 3 blocks
Since each block are of the same dimensions
The area is calculated as:
[tex]Area = 4blocks * 3 blocks[/tex]
If [tex]20\ blocks = 1\ mile[/tex] then:
[tex]1\ block = \frac{1}{20} mile[/tex]
[tex]1\ block = 0.05mile[/tex]
So, we have:
[tex]Area = 4blocks * 3 blocks[/tex]
[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]
[tex]Area = 0.03mi^2[/tex]
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
[tex]People = 360[/tex]
[tex]Area = 0.03mi^2[/tex] --- calculated
So, the population density is:
[tex]Density = \frac{People}{Density}[/tex]
[tex]Density = \frac{360}{0.03}[/tex]
[tex]Density = 12000[/tex]
Lila collected rain water for three days. On the first day she collected 23 liter of rain water. The last two days yielded 14 liter each how much did lila collect in all
Answer:
47 liter 14+14+23
Step-by-step explanation:
14+14+23=47
Answer:
the awnsers 51
Step-by-step explanation:
you do (14x2)=28+23=51
Which answer is correct??
Answer:
8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
y
2
−3=1
1
2
y+−3=1
1
2
y−3=1
Step 2: Add 3 to both sides.
1
2
y−3+3=1+3
1
2
y=4
Step 3: Multiply both sides by 2.
2*(
1
2
y)=(2)*(4)
y=8
Answer:
C.
Step-by-step explanation:
Replace y with each value.
If y is 2 then the answer would be -2
If y is 4 then the answer would be -1
If y is 8:
8/2 = 4
4-3 = 1
Please mark brainliest if this answer helped.
Happy Learning!
Find the surface area of this prism.
Round to the nearest tenth.
Answer:
The answer is 493.3
Step-by-step explanation:
6.72 x 12.7 x 5.78 = 493.28872
And 493.28872 rounded to the nearest tenth is 493.3 because the original number in the tenth place is 2 and then the digit before that is 8 which in this case is your rounding digit. Round up If the number is greater than 5 and round down if its less than 5. In this case its greater than 5 to that leaves you with 28 so now you have 493.28, 28 rounded to the nearest tenth is 30 and just take the 0 away, as if it didn't exist.
The surface area of the prism is 395 square centimeter.
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is to fins the surface area of the prism given below.
The given prism is a cuboid. We can write the surface area of the cuboid as -
V = 2(LB + BH + LH)
V = 2(12.7 x 5.78 + 5.78 x 6.72 + 12.7 x 6.72)
V = 2(73.4 + 38.8 + 85.344)
V = 395 square centimeter
Therefore, the surface area of the prism is 395 square centimeter.
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Is this correct?? Please dont mine the little notes I took when solving it..
A= 12, base= 16
Area= (1/2)(12)(16) = 96
384+96 =480
Semi Circle should be something like =(1/2) pir^2
diameter= hypotenuse= sqrt(12^2 +16^2) = 20
radius= r= d/2= 20/2
Semi Circle= (1/2) pi 10^2= 50pi= 157.0796327
Total = 480+157.0796327=637.0796327. Rounding to the nearest hundred would give me 637.08??
Answer and Step-by-step explanation:
Yes, all of your calculations are correct!!
The area of one rectangle is 192, and since there are 2 rectangles, we multiply 192 by 2, which results in 384.
The area of a triangle is [tex]A = \frac{(Height)(Base)}{2}[/tex], which you got to be 96.
The Semi Circle would have half of the area of a circle, so you are correct when you multiply the equation by [tex]\frac{1}{2}[/tex].
To find that diameter, we need to use the Pythagorean Theorem.
[tex]12^{2} + 16^{2} = d^{2} \\\\144 + 256 = d^{2} \\\\400 = d^2\\\\d = 20[/tex]
So the diameter is 20, and the radius is 10 (20 divided by 2 = radius).
Plug that into the equation, and you get the answer to be [tex]50\pi[/tex], or 157.0796327.
157.0796327 + 384 + 96 = 637.08 (rounded to the nearest hundredth).
Good job!
#teamtrees #PAW (Plant And Water)
Layla is going to invest $5,200 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Layla to end up with $13,800?
Answer:
6.5%
Step-by-step explanation:
I just know
the bathrrom tiles are square with a length of 10cm find tge area of such tile
Answer: 100
Step-by-step explanation:
what is -5 plus s/5 Les than of equal to 7?
Answer:
subtract 7 and then divide them
The sum of 10 and twice a number
(an equation)
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
A jar contains only pennies, nickels, dimes, and quarters. There are 29
pennies, 14 dimes, and 20 quarters. The rest of the coins are nickels. There are 88 coins in all
How many of the coins are not nickels? If n represents the number of nickels in the jar, what
equation could you use to find n?
Answer:
addition I think addition or division
Favorite Color
red
32.86 %
blue
24.36 %
yellow
15 %
green
27.78 %
1728 students were asked to name their favorite color.
The results are shown in this circle graph.
How many students gave green as their favorite?
O A 94
OB. 480
O c. 28
D. 432
O E. 568
Answer:
I say 28
Step-by-step explanation:
because its 27 and it's almost to 28
Answer:
E. 568
Step-by-step explanation: