The graph of y=4x2-4x-1=0
Answers
Answer:
Here we have the equation:
y = 4*x^2 - 4*x - 1
And we should have the graph (you can see it below this answer)
Now we want to find the solutions of:
4*x^2 - 4*x - 1 = 0
These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.
Then we need to find the two values of x at which our graph intersects the x-axis.
In the graph, we can estimate the solutions as:
x = -0.2
x = 1.2
To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:
Then the two solutions are:
x = (4 + 5.66)/8 = 11.2075
x = (4 - 5.66)/8 = -0.2075
Step-by-step explanation:
Related Questions
Determine the center and the diameter of the circle with the equation. x^2-6x+y^2+8y=24
Answers
Answer:
The center of the circle is (3, -4)
The diameter of the circle is 2
Step-by-step explanation:
The given equation of the circle is x² - 6·x + y² + 8·y = 24
The general form of the equation of a circle is x² + y² + 2·g·x + 2·f·y + c = 0
The center of the circle = (-g, -f)
The radius of the circle = √(g² + f² - c)
By comparing the given equation of the circle with the general form of the equation of a circle, we have;
2·g = -6, 2·f = 8, and c = 24
From 2·g = -6, we get;
∴ g = -6/2 = -3
g = -3
from 2·f = 8, we get;
∴ f = 8/2 = 4
f = 4
Therefore;
The center of the circle, (-g, -f) = (-(-3), -4) = (3, -4)
The center of the circle = (3, -4)
The radius of the circle, r = √(g² + f² - c) = √((-3)² + 4² - 24) = 1
The diameter of the circle, d = 2×r = 2 × 1 = 2
The diameter of the circle = 2.
MARKING BRAINLIEST
HELP PLS
Answers
The Answer is:
C.) (x+2)(x+3)
Answer:
(x-2)(x+3)
Step-by-step explanation:
1. Start by setting up the synthetic division. The numbers 1, -4, -11, and 30 go on the inside on the division. To get the number on the outside, set x-5 equal to 0. solve and get 5.
2. bring the one down. multiply the one and the five and place the number you get underneath the -4 in the next column. From there, add the two numbers in the column.
3. After adding those two numbers, put the number you get (which should be 1) directly below the 5. Now multiply that number and the 5 again.
4. Repeat these steps until you fill the spaces under the next two columns. If you do it correctly, the number at the bottom of the very last column should be 0. This zero is known as the remainder. The remainder is not needed to complete this problem.
Now that you have finished synthetic division, it is time to set up the new equation you got.
5. The 1 on the bottom left will be your [tex]x^{2}[/tex] value, the next 1 will be your x value, and the -6 will be your c. You should get the equation [tex]x^{2} + x -6[/tex]
6. From here, factor the polynomial. The factors must add up to the middle value (1) and multiple to c (-6). The factors -2 and 3 add up to 1 and multiply to -6
Therefore, your answer will be (x-2)(x+3)
Name the marked angle in 2 different ways
Answers
Answer:
∠DEB or ∠BED
Step-by-step explanation:
The letter of the angle always goes in the middle.
4x +y = 10 graph the linear equation
Answers
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
Answers
Answer:
C) 92, leg
Step-by-step explanation:
a² + 28² = 96² *the hypotenuse is always the longest side
a² + 784 = 9216
a² = 8432
a = √8432
'a' is approximately 92, and is a leg
1 1/5+3 2/5
they both are mixed numers
Answers
Answer:
4 3/5
hope this helps
have a good day :)
Step-by-step explanation:
1+3=4
1/5+2/5=3/5
Demola is two years older than Deji and Tobi is half of Demola's age. The sum of their ages is 23. How old is Deji
Answers
answer is in the picture
There is a jar of jellybeans on Mr. Schidrich's desk. 40% of the jellybeans are red. If
there are 55 jelly beans in the jar, how many are red??
Answers
Answer:
22 Red Jellybeans
Step-by-step explanation:
Out of the 55 jellybeans in the jar, 40% of them are red, which means you have to do 40% of 55 to see which ones are red. We know 10% of 55 is 5.5, then multiply 5.5 x 4 to get 22 is 40% of 50 hope this helped :)
What is the slope of the line
Answers
Step-by-step explanation:
(1, -3). (3, 0)
(0 + 3)/(3 - 1) = 3/2 is the slope
A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.
Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10
Which statements are best supported by the data?
Select all that apply.
A It is expected that $15\%$ to $25\%$ of all students will value movies the most.
B It is expected that $20\%$ to $30\%$ of all students will value books the most.
C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.
D In a group of $100$ students, it is expected that around $6$ students will value classes the most.
E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.
Answers
Answer:
E
Step-by-step explanation:
If you break each classification of what items metter most you get the following percentahes:
Books 48%
Study Areas 5%
Classes 6%
Movies 20%
A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.
B - Data suggest a higher support for books at 48%
C - Data suggest 1 or two in a group of 25 would answer study areas
Bab isn’t good with quick mafs
Answers
Answer:
153.86
Step-by-step explanation:
Formula area circle = πr²
Solve:
Area = 3.14* 7²
Area = 3.14 * 49
Area = 153.86
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
x * 0.77 = 26
Solve for x.
Answers
Answer:
x = ~33.77
Step-by-step explanation:
divide .77 on both sides.
x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.
lets check our answer by plugging it in:
33.77 * 0.77 = 26.0029 which is close enough
what is the meaning of the quadratic formula. write it down?
Answers
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer:
Below.
Step-by-step explanation:
The formula, which gives the solutions of the equation, is
x = [-b ±√(b^2-4ac)]/2a.
- a, b and c are the coefficients of the quadratic equation
ax^2 + bx + c = 0.
Help please help please
Answers
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
Which of the following is equivalent to the expression below?
log_6^36+log_6^216
Answers
Step-by-step explanation:
log_6^36+log_6^216
= log_6^ (36 × 216)
= log_6^ (6² × 6³)
= log_6^ (6^5)
= 5
Please help!! Find the surface area of the cylinder as pictured below with a = 3 cm and b=
5 cm. Use 3.14 for r and round your answer to the nearest hundredth. Do not
include units in your answer.
Answers
156.12 if using pi
150.8 if using π
if a radio is bought for rs 1000 is sold for rs 1500 find what is the profit percentage?
Answers
Answer:
profit percentage is =(amount sold-amount bought)×100/amount bought
Answer:
profit: 1500-1000=500
profit percentage=x
now,
x % of 1000= 500
50% is the answer.
You purchase 75 shares of stock at $15 per share. The next day the stock drops 3%; however, a week later it increases in value by 7%. If you immediately sell your 75 shares, how much will you gain or lose (a) in dollar amount and (b) in percent?
Answers
Answer:
You have gained $43 and the value increased by 3.8%
Step-by-step explanation:
You would 75 times 15 = $1125
then you would do 1125 times 97% = 1091.25
now you would do 1091.25 times 107% = estimation of 1168
then you would do 1168/1125 which is estimated to 1.038 and you would convert that into a percentage = 103.8%
You would do 1168 - 1125 = $43 and 103.8 - 100 = 3.8%
Liam is single. He has no children and an adjusted income of $26,700. Last year, his employer held $172 from each monthly paycheck. He used the standard deduction when filing. Find the amount of income tax due to the IRS or the amount overpaid.
A Liam owes the IRS $91
B The IRS owes Liam $91
C The IRS owes Liam $329
D Liam owes the IRS $329
Answers
Answer:
option B is the correct answer
Step-by-step explanation:
please make me as a brainlist answer
why does reflexive property exist
Answers
equivalent expression for 8 (y-7)
Answers
Answer:
8y - 56
Step-by-step explanation:
Answer:
multiply 8 by the numbers in brackets 8y-56
What is the slope of the line
Answers
Answer:
[tex]\displaystyle m = -3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-1, 0)
Point (0, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3-0}{0--1}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-3}{1}[/tex][Fraction] Divide: [tex]\displaystyle m = -3[/tex]Answer:
-3
Step-by-step explanation:
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
Answers
Va rog macar 1 si 2 hai va rog frumos
Answers
Answer:
can you translate to English
Step-by-step explanation:
Please give me the answer and show me how you solved it
Answers
Answer:
Option 1: -8c^8
Step-by-step explanation:
We multiply the numbers by the numbers, then the variables times the variables.
-2 times 4 gives us -8
c^3 times c^5 = c ^8. When multiplying a variable with exponents, you add the exponents.
You only multiply the exponents when it's something like (c^3)^5
9x10to the power of -9
Answers
[tex] \large \boxed{0.000000009}[/tex]
Solution :Here we go :
[tex] \rightarrow9 \times 10 {}^{ - 9} [/tex]
[tex] \rightarrow \dfrac{9}{10 {}^{9} } [/tex]
[tex] \rightarrow \dfrac{9}{1000000000} [/tex]
[tex] \rightarrow0.000000009[/tex]
[tex] \bold{ \mathfrak{hope \: it \: helps \: you......}}[/tex]
Kadeesha has a point card for a movie theater.
She receives 50 rewards points just for signing up she earns 12.5 points for each visit to the movie theater she needs at least 210 points for a free movie ticket right and solve for an inequality the number of visits kadeesha can make to earn her first free movie ticket
Answers
Answer:
50 + 12.5 v ≥ 210
She needs at least 13 visits
Step-by-step explanation:
points for signing up + points per visit* number of visits ≥ 210
50 + 12.5 v ≥ 210
Subtract 50 from each side
50 + 12.5 v -50 ≥ 210-50
12.5 v ≥ 160
Divide by 12.5
12.5 v/12.5 ≥ 160/12.5
v ≥ 12.8
She needs at least 13 visits
Answer:
Step-by-step explanation:
PLEASE HELP AS SOON AS YOU CAN!!!!
Answers
Answer:
The answer is neptune
Step-by-step explanation:
Beccause -353 is less than -288
Adam earns $18 an hour. If his wages for the
week amount to $810, how many hours did he
work for?
Answers
Answer:
45 hours
Step-by-step explanation:
if he makes 18 dollars per hour and he has 810 dollars all you have to do is divide 810/18 and you get 45
Triangle MNO has vertices M(6,5), N(2,2), and O(7,0). It's image has vertices M'(-6,5), N'(-2,2), and
O'(-7,0). Which line of reflection maps triangle MNO onto its image?
x = 1
y=1
x = 0
.y=0
Answers
Answer:
x=0
Step-by-step explanation:
because the y values are not changing and the x values are only changing from positive to negative.