Answer:
8(x^4 - 8)
Step-by-step explanation:
Factor out an 8, since both 8 and 64 are divisible by 8:
f(x) = 8x^4 - 64
f(x) = 8(x^4 - 8)
So, the equation factored completely is 8(x^4 - 8)
Answer:
[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]
[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]
Step-by-step explanation:
[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
taking into account the correction from the comment
[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]
The art room at a school is made up of three sections: a pottery section, a painting section, and a sculpture section. Complete questions 6–7 below. LOADING... Click the icon to view the diagram of the art room. 6. Artwork will be on display for an art show in all sections of the art room except the sculpture section. How much space is available for the art show?
Answer:
Step-by-step explanation:
huh huh huh huh whatttttttttttttt
What is the answer?
2500/x+20
=2500/(48.59)+20
(3x^8)(5x) simplify using Law of exponent
Jenny works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $7.70 an hour for babysitting. How
much will she earn for 1 hour of mowing and 3 hours of babysitting?
Answer:
$31.90
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?
Step-by-step explanation:
it's not same but u can find your answer through it
true or false: an cubic function may have 3 irrational zeros
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Someone give me some new artists/people to listen to
Answer:
Lil uzi,polo g, drake, future, gunna, cochise,
Step-by-step explanation:
What are the following properties:
4k−3−2k=2k+5−2k
2k−3=5
2k−3+3=5+3
2k=8
2k2=82
k=4
Answer:
k4-3+3=10k
Step-by-step explanation:
Answer:
4k-3+3=10k
Step-by-step explanation:
4k-3+3=10k
What are the values of x and y?
image attached. Thank you!
Answer:
C
Step-by-step explanation:
We'll have to use trigonometry for this.
First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.
In order to find x, then, we must use sine, which is opposite/hypotenuse. So:
sin(A) = sin(60) = opposite/hypotenuse = x/18
sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:
[(√3)/2] * 18 = 9√3
Already, we can tell that the answer is likely C, but let's find y to make sure.
We will use cosine to find y because cos = adjacent/hypotenuse.
cos(A) = cos(60) = adjacent/hypotenuse = y/18
cos(60) = 0.5, so multiplying both sides by 18 gives:
0.5 * 18 = 9
So, y = 9.
Thus, C is our answer.
~ an aesthetics lover
Answer:
C
Step-by-step explanation:
Using the cosine/ sine ratio in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 9[tex]\sqrt{3}[/tex]
----------------------------------------------------------
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 18 ( divide both sides by 2 )
y = 9
Thus
x = 9[tex]\sqrt{3}[/tex] and y = 9 → C
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
Helps me solve this problem please
Answer:
I Think D.
Step-by-step explanation:
650 divided by 3/2 (With the full explanation)
Answer:
Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.
Step-by-step explanation:
By the concept of division by a fraction, 650 divided by 3/2 will result in [tex]433 \frac{1}{3}[/tex].
We have to solve 650 divided by 3/2.
Mathematically, it can be expressed as:
650 ÷ [tex]\frac{3}{2}[/tex] -----(1)
To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:
dividing by a fraction = multiplying by the reciprocal of the fraction
And the reciprocal of any fraction is simply the ratio of denominator and numerator.
So, the reciprocal of [tex]\frac{3}{2}[/tex] is [tex]\frac{2}{3}[/tex] .
Then, expression (1) will be equivalent to
[tex]650 \div \frac{3}{2} = 650 \times \frac{2}{3}[/tex] ------(2)
That means we have to multiply 650 and fraction 2/3.
To get the multiplication of two fractions, we multiply the numerators together and the denominators together.
[tex]650 \times \frac{2}{3} = \frac{650\times 2}{3}[/tex]
[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]
[tex]650 \times \frac{2}{3} = \frac{1300}{3}[/tex]
[tex]650 \times \frac{2}{3} = 433 \frac{1}{3}[/tex]
Thus, from equation (2)
[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]
Hence, 650 divided by 3/2 is:
[tex]650 \div \frac{3}{2} = 433 \frac{1}{3}[/tex]
Learn more about division by fractions here:
https://brainly.com/question/12318185
#SPJ6
f(x)=x^2+6x+7
g(x)=x+2
find g(f(x))
Answer:
g(x2+6x+7)=x2+6x+9
Step-by-step explanation:
Evaluate g(f(x)) by substituting in the value of f into g
g(2x)=6(2x)−7
Multiply 2 by 6
g(2x)=12x−7
Pls help hurry I need to find the slope
Answer:
a. -1
Hope this helps!
9 and 10 only ...............
Answer:
19
Step-by-step explanation:
A 24-roll package of toilet paper is $14.88. If the price per roll stays the same, what would be the price of a ten-roll package?
Answer:
Step-by-step explanation:
equivalent fraction using the lcd 7/10 and 5/6 NEED ANSWE LIKE NOW PLZZZ HELP WILL MARK BRAINLIEST
Answer:
2 i think. :D
Step-by-step explanation:
PLEASE HELP
find value of x and y
Given :
There is a quadrilateral.Two sides of the quadrilateral are parallel .Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.To Find :-
The value of x & y .Solution :-
Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.
⇒ 96° + 2x = 180° .
⇒ 2x = 180° - 96° .
⇒ 2x = 84° .
⇒ x = [tex]\red{\sf \dfrac{84^{\circ}}{2}}[/tex]
[tex]\bf\longmapsto x = 42^{\circ}[/tex]
Hence value of x is 42° .
Similarly , 94° & ( 3y + 44) ° are co- interior angles
⇒ 94° + ( 3y + 44)° = 180° .
⇒ ( 3y + 44 )° = 180° - 94° .
⇒ 3y + 44° = 86°.
⇒ 3y = 86° - 44° .
⇒ 3y = 42° .
⇒ y = [tex]\sf \red{\dfrac{42^{\circ}}{3}}[/tex]
[tex]\bf\longmapsto y = 14^{\circ}[/tex]
Hence the value of y is 14°.
Which diagrams is not correct
Answer:
A
Step-by-step explanation:
Which of the following inequalities is shown in the graph
Answer: D) y ≤ 5/2x + 5
The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.
Hope this helps!
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
Solve for x.
z=(x-5)k
Answer:
x=z/k+5
Step-by-step explanation:
A rational function in the form ax^m+.../bx^n+... has a slant (oblique) asymptote when ________.
(A.) a=b
(B). m=n
(C). m n
Answer:
M>N
Step-by-step explanation:
I got it right
PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.
Choose the correct method to factorize the following *
5hs-10hr-2ks+kr
a-Taking HCF common
b-Mid-term break
c-Algebraic Identities
d-Grouping
Answer:
Algebraic identities
Step-by-step explanation:
Here, we want to choose the correct method to factorize the given expression
That will be;
Algebraic identities
This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities
I need this please fast!!!!!
Answer:
∠BEC = 54°
Step-by-step explanation:
ED and EA are opposite rays, which means that they form a straight angle.
Straight angle = 180°
Which means that,
∠AEB + ∠BEC +∠DEC = ∠AED
This is the equation we are going to use,
We also know that ∠CED = 72°
We know that BE bisects ∠AEC
Know, we know that ∠AEB = (7x - 2)°
That means ∠BEC = (7x - 2)° - This is because ∠AEB = ∠BEC
=>(7x - 2)° + (7x - 2)° + 72° = 180°
=> (14x - 4)° + 72° = 180°
=> (14x - 4)° = 180° - 72°
=> (14x - 4)° = 108°
=> 14x = 108° + 4°
=> 14x = 112°
=> x = (112 / 14)°
=> x = 8°
So, know we can find ∠BEC
(7x - 2)°
=> (7 * 8 - 2)°
=> (56 - 2)°
=> 54°
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems
Answer:
3:5
hope this helped :)
Plz help me I’ll give brainliest
Answer:
it is A i could be wrong
Step-by-step explanation:
2. Liz claimed that the polynomial 4x -12 + 2x is a trinomial because it has three
terms.
Is Liz correct? Explain your reasoning in complete sentences. Be specific!
Answer:
see below
Step-by-step explanation:
The first step is to combine like terms
4x -12 + 2x
6x -12
Then determine the number of terms
2 terms so it is a binomial
Answer:
Im not sure if I’m correct but I think she is correct because a trino Mila doesn’t always have to have a exponent but three terms
Step-by-step explanation:
not positive