Answer:
C. Quadratic
Step-by-step explanation:
Solve for a:
2 a^3 + a^2 + a + 4 = 0
Hint: | Look for a simple substitution that eliminates the quadratic term of 2 a^3 + a^2 + a + 4.
Eliminate the quadratic term by substituting x = a + 1/6:
23/6 + (x - 1/6)^2 + 2 (x - 1/6)^3 + x = 0
Hint: | Write the cubic polynomial on the left-hand side in standard form.
Expand out terms of the left hand side:
2 x^3 + (5 x)/6 + 104/27 = 0
Hint: | Write the cubic equation in standard form.
Divide both sides by 2:
x^3 + (5 x)/12 + 52/27 = 0
Hint: | Perform the substitution x = y + λ/y.
Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:
52/27 + 5/12 (y + λ/y) + (y + λ/y)^3 = 0
Hint: | Transform the rational equation into a polynomial equation.
Multiply both sides by y^3 and collect in terms of y:
y^6 + y^4 (3 λ + 5/12) + (52 y^3)/27 + y^2 (3 λ^2 + (5 λ)/12) + λ^3 = 0
Hint: | Find an appropriate value for λ in order to make the coefficients of y^2 and y^4 both zero.
Substitute λ = -5/36 and then z = y^3, yielding a quadratic equation in the variable z:
z^2 + (52 z)/27 - 125/46656 = 0
Hint: | Solve for z.
Find the positive solution to the quadratic equation:
z = 1/216 (3 sqrt(4821) - 208)
Hint: | Perform back substitution on z = 1/216 (3 sqrt(4821) - 208).
Substitute back for z = y^3:
y^3 = 1/216 (3 sqrt(4821) - 208)
Hint: | Take the cube root of both sides.
Taking cube roots gives 1/6 (3 sqrt(4821) - 208)^(1/3) times the third roots of unity:
y = 1/6 (3 sqrt(4821) - 208)^(1/3) or y = -1/6 (208 - 3 sqrt(4821))^(1/3) or y = 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)
Hint: | Perform back substitution with x = y - 5/(36 y).
Substitute each value of y into x = y - 5/(36 y):
x = 1/6 (3 sqrt(4821) - 208)^(1/3) - 5/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 5/6 ((-1)/(3 sqrt(4821) - 208))^(1/3) + 1/6 (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)
Hint: | Simplify each solution.
Bring each solution to a common denominator and simplify:
x = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) or x = -1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or x = 1/6 (5 ((-1)/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3))
Hint: | Perform back substitution on the three roots.
Substitute back for a = x - 1/6:
Answer: a = ((3 sqrt(4821) - 208)^(2/3) - 5)/(6 (3 sqrt(4821) - 208)^(1/3)) - 1/6 or a = -1/6 - 1/6 (208 - 3 sqrt(4821))^(1/3) - (5 (-1)^(2/3))/(6 (3 sqrt(4821) - 208)^(1/3)) or a = 1/6 (5 (-1/(3 sqrt(4821) - 208))^(1/3) + (-1)^(2/3) (3 sqrt(4821) - 208)^(1/3)) - 1/6
A number r is no less than −1.5 and fewer than 9.5.
What are the solutions of the equation x2-30=x
Answer:
x = 6 or x = -5
Step-by-step explanation:
x^2 - 30 = x
x^2 - x - 30 = 0
(x - 6)(x + 5) = 0
x - 6 = 0 or x + 5 = 0
x = 6 or x = -5
For every pound a company spends on advertising, it spends £0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
I think it is 0.51? (I am complety off aren't I/)
Step-by-step explanation:
my sister needs help please
In the number 4,444.444, how does the 4 in the hundredths place compare to the 4 in the place to its left?
Answer:
the four to the left of the four in the hundredths place is 1000 place
Step-by-step explanation:
Help Me please I hate math:(
Answer:
What is the question?
Step-by-step explanation: .
Answer:
WHATS THE QUESTION
Step-by-step explanation:
MATTRICES PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!
Answer:
I think the best answer for me would be c if thats wrong sry
I hope this helps :)
8. To which subsets of the real numbers does the number 13 belong?
Answer:
irrational numbers
Step-by-step explanation:
8.
sqrt(13) is not a whole number, a natural number, an integer, or a rational number.
Answer: irrational numbers
help please i only know it starts from "start"
Answer:
Step-by-step explanation:
Start
Translate up
Rotate counter clockwise
Translate diagonally down
Rotate clockwise
Translate left
samuel needs to mail a package to his friend in new york. he places an address label with length represented by the function f(x)=3x^3
Answer:
what is the question
Step-by-step explanation:
Solve the equation for x: 3x – 2c = 5
Answer:
3x-2c=5
3x=5-2c
x=5-2c
3
1. The ratio of boys to girls in the 9th grade is 3 to 4. There are 176 girls. Set up a proportion to model this information.
Answer:132
Step-by-step explanation:
Order the values from least to greatest
|-7|
-2
|-6|
-6
10
Answer:
-6, -2, |-6|, |-7| 10
Step-by-step explanation:
is Gobbledygook a word
Answer:
Lol that is a word.
can someone help please i am really confused
Answer:
so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42
I need help with this question
Answer:
2x-y = 2
Step-by-step explanation:
Answer:
2x-y=2
hope it helps
thank you
on of Tho Mcd
8. Write the standard form of the equation y + 4 = - 12 (x – 1).
Answer:
12x + y = 16
Step-by-step explanation:
Standard Form: Ax + By = C
Step 1: Write point-slope form
y + 4 = -12(x - 1)
Step 2: Find slope-intercept form
y + 4 = -12x + 12
y = -12x + 16
Step 3: Find standard form
12x + y = 16
In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answer:
by BPT it will be solved
Step-by-step explanation:
CQ/QA=CP/PD
x+2/x=5x+4/3x
by cross multiplication
answer will be 1
Parallel sides are sides that are equidistant from one another. The value of x is 1
Given that:
[tex]CQ = x + 2\\QA = x\\CP = 5x + 4\\PD = 3x[/tex]
Since:
QR & AB are parallel, and RP & BD are parallel.
Then by theorem of similarities:
[tex]\frac{CQ}{QA} = \frac{CP}{PD}[/tex]
This gives:
[tex]\frac{x+2}{x} = \frac{5x + 4}{3x}[/tex]
Multiply both sides by 3x
[tex]3x \times \frac{x+2}{x} = \frac{5x + 4}{3x} \times 3x[/tex]
[tex]3 \times (x+2) = 5x + 4[/tex]
Open bracket
[tex]3x+6 = 5x + 4[/tex]
Collect like terms
[tex]5x - 3x = 6 -4[/tex]
[tex]2x = 2[/tex]
Divide both sides by 2
[tex]x = 1[/tex]
Read more about parallel sides at:
https://brainly.com/question/1674780
Given: AB = CDProve: AC = BD
Answer:
it would be helpful if there was a diagram but ill write a proof below of how I would solve a problem. however, it may not be what ur looking for as the question is unclear
1) AB=CD - given
2) BC = BC - reflexive
3) AB+BC=CD+BC- addition property of equality
4)AC= BD - substitution
determine the effects on the graph of the parent function f(x)=x+10 when g(x)=0.3f(x)
Answer:
First, remember the definition of a vertical contraction/dilation.
If we have a function f(x), and we dilate it with a factor A, such as:
g(x) = A*f(x).
If A is larger than 1, then we are dilating the graph of f(x)
if A is smaller than 1, then we are contracting the graph of f(x).
In this case we have:
f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.
A = 0.3
then we have a contraction.
From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).
(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])
Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)
PLEASE HELP!!!!! Match each equation with its slope
(I also have another question like his in my profile)
Answer: 1. E
2. B
3. C
4. F
5. D
6. A
Step-by-step explanation:
Three scoops of whey powder contain 45 grams of protein. How many scoops of whey powder contain 135 grams of protein?
Please help ‼️
The answer is 405 because if you multiply 3 and 135 that would lead you to your answer.
Can somebody helpp ???
Answer:
X = 2
Z = 95
Step-by-step explanation:
Answer:
Step-by-step explanation:
13x+59=11x+63
13x-11x=63-59
2x=4
x=2
13*2+59=26+59=85
11*2+63=22+63=85
360-85*2=2z
190=2z
z=95
It will be nice if you give me brainliest.Good luck!
Solve for X.
6(x-1) =9(x +2)
Answer:
x=-8
Have a wonderful day!!!
Find the slope of the line that passes through (8, 9) (6, 12)
Please help
Cuanto es [20+(10-15)+2]-[15+(7-10)(-2+5)]
PLEASE HELP ME!!!!!!!!!!
Answer:
A.)
Step-by-step explanation:
Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt costs $14. Write and solve an inequality for the number of shirts she can purchase
Answer:
5 shirts (read explanation)
Step-by-step explanation:
14x+29=100
14x=71
x=5.1
She can buy 5 shirts
What's b/2-14=8 Equal ?
Answer:
1. add 14 to both sides
b/2 = 8E + 14
2. multiply both sides by 2
b = (8E + 14) x 2
3. regroup terms
b = 2(8E + 14)
Hope this helped :)
I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?
Answer:
4 hours
Step-by-step explanation:
16/4= 4