what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots
Answers
Answer:
2 imaginary roots
Step-by-step explanation:
The discriminate is the portion of the quadratic equation under the square root
D = b^2 - 4ac
D = 8^2 - 4(2)(16)
D = 64 - 128
D = -64
Since the discriminate is negative the square root will be imaginary
and there will be 2 of them
2 imaginary roots
9514 1404 393
Answer:
discriminant: -64two complex rootsStep-by-step explanation:
The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...
a=2, b=8, c=16
so, the discriminant is 8² -4(2)(16) = 64 -128 = -64
A negative discriminant indicates there are two conjugate complex roots.
Related Questions
How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
Answers
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-by-step explanation:
You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.
An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...
0 = 2 -3x -2x^2
x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2
(x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square
(x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square
x +3/4 = ±5/4 . . . . . . . take the square root
x = -3/4 ±5/4 = -8/4, +2/4
The x-intercepts are -2 and +1/2.
__
A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...
y^2 = 2 -0 -0
y = ±√2
The y-intercepts are -√2 and +√2.
_____
A graphing calculator can give you a good idea of what the intercepts are.
10000+2000003
ghsrhrs
Answers
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answers
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.
Answers
The approximate area of the hexagon is 48 square inches.
Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:
Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X
Therefore, the approximate area of the hexagon is 48 square inches.
Learn more about maths in https://brainly.com/question/18500585
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
Answers
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
learn more on surface area click :
brainly.com/question/23973712
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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.
Question 7 options:
A)
(4, 1)
B)
(4, 5)
C)
(2, 2)
D)
(–6, 6)
Answers
Answer:
B ......................
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answers
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
HELPPPPPP plsssssssssss
Answers
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answers
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
What series of transformation will not map figure H onto itself
Answers
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
Answers
Step-by-step explanation:
Given:
Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢System as per question:
a + l = 1735a + 15l = 395Or
a + l = 170.35a + 0.15l = 3.95Step-by-step explanation:
Let the number of apples be a and lemons be l . Then ,
=> a + l = 17
Also ,
=> 35a + 15l = $ 3.95
HELPPPPP ASAP!!!! I’m on a limit
Answers
Answer:
look at the photo.........A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
Answers
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answers
Answer: 2,435
Step-by-step explanation:
trust
Help will give Brainlest only true answers only please dont guess
Answers
Answer: 75%
Step-by-step explanation:
35% of 5 liters is 1.75 liters
1.75 liters + 8 liters = 9.75 liters (only juice)
(5 liters + 8 liters = 13 liters) (the whole thing)
So, 9.75/13 is 75%
solve pls brainliest
Answers
1. None, it makes a cylinder
2. C
3. B
4. A
[tex]\sqrt{17} \times \sqrt{17}[/tex]
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
Answers
Answer:
b.
This may be the complete question:
Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
a. Wanda is task oriented and likes to be alone.
b. Wanda has a lot of energy and is a good multitasker.
c. Wanda has remarkable typing skills and does well with computers.
d. Wanda has very good concentration skills and likes to create things with her hands.
Answer: b.
When divding numbers with the same base you________ the exponents
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When divding numbers with the same base you subtract the exponents ~
Answer:
subtracts
Step-by-step explanation:
hope this helps
Find the perimeter. Simplify the answer.
Answers
Answer:
34p - 16
Step-by-step explanation:
Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10
Perimeter = 16p + 18p + 4 - 20
Perimeter = 34p - 16
-Chetan K
we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]
ok done. Thank to me :>
y=1/2x-4 in Standard Form
Answers
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
41 divided by 533 estimate it and its long division and I have to find the R
Answers
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answers
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
A certain book has 200 pages, and 47 of these pages have an illustration. If one of the book's pages
is selected at random, what is the probability of selecting a page with an illustration? (Express your
answer as a decimal or fraction, not as a percent.)
Answers
Answer: fraction:47/200 desimal:0.235
Step-by-step explanation:
A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)
Answers
Answer:
1
Step-by-step explanation:
If the plane goes 250 per HOUR, then it will take that one hour to get to 250
There are six cookies and four friends want to share them how much will it be
Answers
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
What is power of 3 square root of 4 / square root of 2 in simplest radical form?
Answers
Answer:
√90=3√10
Step-by-step explanation:
how many trees will be planted when 5 are cut down
Answers
Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?
600 students
300 students
450 students
800 students
which one?
Answers
Answer:
600
Step-by-step explanation:
Take the number that answered lavender and divide by total # of students surveyed
49/75 = .653333 or 65.3%
then take the total # of students and multiply by .6533333
908x .6533333 = 593.22
so the closest estimate is 600
-- Gage Millar, Algebra 1/2 tutor
What is the y intersect. Pls help
Answers
Answer:
total shipping cost
Step-by-step explanation:
