Simplifying the equation:
We are given the bi-quadratic equation:
9x⁴-3x²+1
to factorise this equation, we will convert it to a quadratic equation and factor it from there
in the given equation, let x² = y
now, the equation looks like:
9y² - 3y + 1
Finding the Factors (in terms of y):
Using the quadratic formula: x = -b±√(b²-4ac) / 2a
replacing the variables in the equation
y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)
y= [3 ± √-27]/18
y = (1 ± √-3 / 6)
The 2 solutions are:
y = (1 + √-3 / 6) and y = (1 - √-3 / 6)
Finding the values of 'x':
Since y = x²:
x² = (1 + √-3 / 6) and x² = (1 - √-3 / 6)
taking the square root of both sides
x = √(1 + √-3 / 6) and x = √(1 - √-3 / 6)
As we can see, the given equation has complex roots and cannot be simplified further
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answer:
i cant understans the quedtoion its worng bro
Please answer this correctly without making mistakes
Answer:
I say first one 7-pint jug of water for 3.22
Step-by-step explanation:
because 8 pints are in 1 gallon but there is 7 pints for 3.22 if do math correctly 8 pints would be 3.68 and that is one gallon right there so 2 gallons would only be 7.36 which is way cheaper than the second one being 2-gallon jug of water for 13.44.
hope this helps.
How do you create zero pairs using algebra tiles? Add a positive unit tile to a negative unit tile. Add a positive unit tile to a positive unit tile. Add a negative x-tile to a negative x-tile. Add a negative x-tile to a positive unit tile.
Answer:
A: Add a positive unit tile to a negative unit tile.
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
Select the correct answer.
Which one of these functions is a cubic function?
Answer:
B
Step-by-step explanation:
A cubic function begins with an X^3.
0.07, 0.005, 0.75
from smallest to largest
You start at (4, -4). You move left 4 units and right 4 units. Where do you end?
Answer:
Step-by-step explanation:
(4 , - 4) -----> ( 4 - 4 + 4 , - 4 ) = ( 4 , - 4 )
Create equivalent ratios
If a lemonade recipe requires 2 cups of sugar for every 6
quarts of lemon juice, how many cups of sugar would be
required for 9 quarts of lemon juice?
Answer:
3
Step-by-step explanation:
6 cups require 2 cups
9 cups require-------x
Cross multiplication
9x2 = 6x
18 = 6x
x= 3
Another way to think about:
6 + half of 6 = 9
Then
2+ and half of 2 = 3
6 is 3 times more than 2
9 is 3 times bigger than 3
Solve four ninths minus four tenths equals blank.
Help Me ASAP
Answer:
4/9
Step-by-step explanation:
5 plus1000 equal what
Which of the following sequences of transformations is used to obtain figure T′U′V′W′ from TUVW? (4 points)
a
Reflection about the y-axis followed by a translation left by 2 units
b
Reflection about the x-axis followed by a translation left by 2 units
c
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
d
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answer: a (reflection over y-axis, followed by a translation of 2 units left)
Step-by-step explanation:
-4(3/2x - 1/2) = -15
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
Please helpppppppppp
Answer:
A
Step-by-step explanation:
Solve -2/3 n< 16 What is the following must be true about the causes and the results Grove select the
Answer:
-24
Step-by-step explanation:
you divide -2/3 by each side and that will give you your answer
The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)
Answer:
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Step-by-step explanation:
Given that:
The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;
The volume of a given circular cylinder is:
[tex]V = \pi r^2 h[/tex]
[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]
[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
Write the first four terms of the sequence defined by the given rule: f(n)=n+4
Answer:
5, 6, 7, 8
Step-by-step explanation:
f(n) = n + 4
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
f(4) = 4 + 4 = 8
Help please! I’ll give brainliest!
Answer:
the first
Step-by-step explanation:
becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.
Answer:
The answer should be B
Step-by-step explanation:
A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?
Answer:
[tex]S.E = 2[/tex]
Step-by-step explanation:
Given
[tex]Mean = 40[/tex]
[tex]s^2 = 64[/tex] ----- variance
[tex]n = 16[/tex] ------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
Where
[tex]SD = Standard\ Deviation[/tex]
[tex]SD = \sqrt {s^2}[/tex]
[tex]SD = \sqrt {64}[/tex]
[tex]SD = 8[/tex]
So:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
[tex]S.E = \frac{8}{\sqrt{16}}[/tex]
[tex]S.E = \frac{8}{4}[/tex]
[tex]S.E = 2[/tex]
Hence: the estimated standard error for the sample mean is 2
please answer the full question
To demonstrate probabilities, a mathematics teacher had students draw cards from a bag which contained 26 red cards and 26 black cards. During class, the bag was dropped, and 5 red cards and 1 black card were lost.
Tell whether the loss of cards changes the probability of drawing a black card from the bag.
If so, was the probability increased or decreased? Support your answer by calculating the probability for each situation.
Answer:
The probability of drawing increases from drawing a black card from the bag.
Step-by-step explanation:
If 5 were dropped from red it would leave red with 21 cards and if 1 was dropped from black cards it would leave 25 cards in black cards. It does change the probability of drawing a red card it is more likely now to draw a black card than a red card because there are more black cards than red.
Hope this helps <3
what is the slope of a surface having a rise of 5 feet and a run of 0 feet?
A. 100%
B. Undefined
C. 5
D. 50
E. 0
is 2,107,954 even or odd
Answer:
Even
Step-by-step explanation:
Ends in 4
Answer:
even
Step-by-step explanation:
can be divided by 2
A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?
Please help will do brainliest
Answer:
2x-7y
8x+2y
Step-by-step explanation:
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4 to 5 also,written as 4:5
Step-by-step explanation:
60 cows to 75 sheep
60:75
divide both by 15 to get lowest form
60/15 = 4
75/15 = 5
Solve this Literal Equation
Solve for x
E=[tex]\frac{ab}{x^2}[/tex]
What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.
Answer:
D) its domain is between -1 and 1
Step-by-step explanation:
cos is actually an even function, and it has a period of 2π.
Sine has a graph symmetric about the y-axis, not cosine.
Answer:
C. Its graph is symmetric about the y-axis.
Step-by-step explanation:
If you graph on desmos it shows that it is symmetric about the y-axis :)
PQ is equal to RQ so b=?
Answer: 17
Step-by-step explanation:
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.
Answer:
1.L=4;W=3;P=14
2.L=6;W=2;P=16
3.L=12;W=1;P=26
Step-by-step explanation:
because i know