The discriminant of the function is positive
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the discriminant of the function be represented as D
Now , the value of D is
D = ( b² - 4ac )
And , when ( b² - 4ac ) is positive, we get two real solutions
When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.
When the x-axis shouldn't cross the function graph, the function should be smaller than zero.
Hence , the discriminant of the function is positive
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The complete question is attached below :
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Determine what type of function is represented in the table at the
left.
A.)Linear
B.)Quadratic
C.)Exponential
D.)Absolute value
Find the slope of the line containing the points (-3,-4) and (7,-6).
Answer:
-1/5
Step-by-step explanation:
slope formula
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
The transformation shown is a rotation.
True or False
1
Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?
4
The unit rate is page(s) per hour.
Answer:
it is 11 pages per hour
Step-by-step explanation:
so if you have 11 in a hour it should be 11 pages per hour
Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.
Answer:
Step-by-step explanation:
solve for x:2a+5=11
[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]
Answer:a = 3
Hope it helps.
Do comment if you have any query.
What percentage of businesses are using social media today? 35 percent 50 percent 65 percent 80 percent
Answer:
80
Step-by-step explanation:
PLEASE PLEASE HELP!!!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. Starting with Attempt 1, how many additional
attempts did it take to improve by 60 seconds?
Answer:
A
Step-by-step explanation:
If i can get 2 Amy's organic soup for $4 how much would it be for 1 Amy's organic soup?
Answer: $2
Step-by-step explanation:
just do 4 divided by 2 and your answer is 2
Answer:
$2 for 1 Amy's Organic Soup
Step-by-step explanation:
Since 2 of Amy's Organic Soup is = $4
Divide to find the Unit Rate for the cost of 1 soup.
Let x = Cost of Amy's Organic Soup
$4 = 2x
$4/2 = 2x/2
$2 = x
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
ill give brainlist again! :( help?
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
(0, 6) and (2, 96) in exponential function
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
each ball has a diameter of 60mmwhich container has the smaller surface area?
(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss
Answer:
answer is <
Step-by-step explanation:
first equation is equal to 6 and the other is equal to 7
2+2 1,000,000,000+1,000,000,000
Answer:
22,000,000,002
Step-by-step explanation:
Hope it helps you
Answer:
Step-by-step explanation:
22,000,000,002
seven million five hundred and forty-two eight hundred in number form pls
Answer:
7,542,800
Step-by-step explanation:
Apply the distributive property to factor put the greatest common factor
250 - 150x=
Answer:
50(5-3x)
Step-by-step explanation:
250=2*5^3
150=2*3*5^2
GCF=2*5^2=50
250/50=5
150/50=3
50(5-3x)
3/7 rounded to the nearest thousand
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
In rhombus WXYZ, if WX=15, find YZ.
Answer:
YZ=15
Step-by-step explanation:
All sides of a rhombus are equal so it would be the same length.
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
HELP ME PLEASEEEEEE!!!!!!!!
Answer:
probs C
Step-by-step explanation:
hope it helps
Guys need help with c,f,g,j
Answer:
Step-by-step explanation:
PLEASE HELP IT’S TIMED!!!! 50 POINTS!!!
enumerate all the given.
if 15,000 pesos is deposited in an account that pays 5% compounded annually, How much will be in the account after 8 years?
Answer:
22161.83 pesosStep-by-step explanation:
Given:
Deposit P = 15000Rate of interest r = 5% = 0.05Compound number n = 1Time t = 8Amount after 8 years:
A = P(1 + r)^tA = 15000(1 + 0.05)^8 = 22161.83Rate of interest=r=0.05
So
Amount
P(1+r)^t15000(1+0.05)⁸15000(1.05)⁸22161.83 pesosr(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.
Month # Rainfall (millimeters)
111 145145145
222 135.8135.8135, point, 8
333 179.1179.1179, point, 1
444 171171171
555 64.864.864, point, 8
666 12.612.612, point, 6
777 8.48.48, point, 4
888 8.98.98, point, 9
999 15.715.715, point, 7
101010 29.529.529, point, 5
111111 83.883.883, point, 8
121212 142.6142.6142, point, 6
Which number type is more appropriate for the domain of rrr?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Integers
(Choice B)
B
Real numbers
What's the appropriate domain?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq
Answer:
Integers
1</ M </ 12
Step-by-step explanation:
Khan Aacademy
Please help with this as well! Mind to give the explanation too? Just so I know
Answer:
i found out how to get 50
Step-by-step explanation:
14 + 18 x 2 = 50
Answer this and explain please
Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions