9514 1404 393
Answer:
C. 3x∛(y²z)
Step-by-step explanation:
The relevant rules of exponents are ...
[tex]\sqrt[n]{a^m} = a^\frac{m}{n}\\\\(a^b)^c=a^{bc}[/tex]
__
Your expression can be rewritten and simplified as follows.
[tex]\displaystyle\sqrt[3]{27x^3y^2z}=(3^3x^3y^2z)^\frac{1}{3}=3xy^\frac{2}{3}z^\frac{1}{3}=3x(y^2z)^\frac{1}{3}=\boxed{3x\sqrt[3]{y^2z}}[/tex]
the largest 4 digit number which is a perfect cube is (a) 92000, (b)9261, (c)9000, (d)9259
Answer:
(Note:92000 is a five digit number, so it cannot be the answer)
b) 9261
It is the cube of 21(largest among the four digit numbers in the question)
It is a four digit numbner.
Given that g(x)= 2x^2 - 3x + 19, find each of the following. A.) g(0) B.) G (-1) C.) g(3) D.)g(-x) E.) G (1-t)
Answer:
Given:
g(x)= 2x² - 3x + 19Evaluate each value:
A)
g(0) = 2(0)² - 3(0) + 19 = 19B)
g(-1) = 2(-1)² - 3(-1) + 19 = 2 + 3 + 19 = 24C)
g(3) = 2(3)² - 3(3) + 19 = 18 - 9 + 19 = 28D)
g(-x) = 2(-x)² - 3(-x) + 19 = 2x² + 3x + 19E)
g(1 - t) = 2(1 - t)² - 3(1 - t) + 19 = 2(1 - 2t + t²) - 3 + 3t + 19 = 2t² - 4t + 2 + 3t + 16 = 2t² - t + 18sorry if is wrong,..........;
Solve the radical equation, if possible.
Answer: C
Step-by-step explanation:
3x-3 ≥ 0 ==> x ≥ 1
3x+6 ≥ 0 ==> x ≥ -2
So: condition x ≥ 1
[tex]\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\[/tex]
f(x) = 5x^2-x+9
find the difference quotient hurry!!!
Answer:
10x+5h-1
Step-by-step explanation:
Find f ( x + h) and f (x), and plug these values into difference quotient formula.
Answer:
10x + 5h − 1
Step-by-step explanation:
10x + 5h − 1
A polynomial is
if its only factors over the integers are 1 and itself.
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)
Y=?
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.I WILL MARK BRAINLIEST. PLEASE HELP. QUICK. Write an equation in slope-intercept form for the line with slope 15 and y-intercept −3. Then graph the line.
I WILL MARK BRAINLIEST
Sue had a circular picture that she wanted to frame. If the picture's frame diameter was
7.5 inches, how much is the minimum framing material did she need in inches?
If f(x) = log(x), what is the transformation that
1
occurs if g(x) =
log(x) - 1?
3
a y no eso s i gamas
e s k i u s m i atrapada
what is 28.8 classified as in the real number system
Answer:
A rational number
Step-by-step explanation:
Answer:
Decimal number
Step-by-step explanation:
28.8 is a decimalConverting to fraction
[tex]\\ \sf\longmapsto 28.8[/tex]
[tex]\\ \sf\longmapsto \dfrac{288}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{144}{5}[/tex]
[tex]\\ \sf\longmapsto 28\dfrac{4}{5}[/tex]
(a+b square)-(a-b square)
Answer:
[tex] {(a + b)}^{2} - {(a - b) }^{2} \\ = 1[/tex]
In algebra 0 is written as 1 according to rule.
The volume of a crate with length of x feet, width of 8 - x feet, and a height of x - 3 feet is given by V(x)=x(8−x)(x−3) find the maximum volume of the crate and the dimensions for this volume
Seleccione el valor de la incógnita en cada ecuación
5x+7=7
Respuesta 1
Elegir...
x+5=14
Respuesta 2
Elegir...
x-5=10
Respuesta 3
Elegir...
2x+1=15
Respuesta 4
Elegir...
3x-1=8
Respuesta 5
Elegir...
me pueden ayudar por favor y muchas gracias doy coronaa
Respuesta 1
Answer:
x+5=14
x=14-5
x=9
Respuesta 2
Answer:
x-5=10
x=10+5
x=15
Respuesta 3
Answer:
2x+1=15
2x=15-1
2x=14
2x/2=14/2
x=7
Respuesta 4
Answer:
3x-1=8
3x=8+1
3x=9
3x/3=9/3
x=9
3. 20 + -4(32 - 6) =
Answer:
-84
Step-by-step explanation:
20 + [-4(32 - 6) ]
20 + [-4(26) ]
20 + (-104)
20 - 104
-84
If a = 5 and b=2 then find the value of - 2ab and - 3a+b
Answer:
-2ab = -20-3a + b = -13Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
PART I: Find the value of -2abGiven information
a = 5
b = 2
Given expression
-2ab
Substitute values into the expression
-2 (5) (2)
Simplify by multiplication
=-10 (2)
=[tex]\boxed{-20}[/tex]
--------------------------------------------------------
--------------------------------------------------------
PART II: Find the value of -3a + bGiven information
a = 5
b = 2
Given expression
-3a + b
Substitute values into the expression
-3 (5) + (2)
SImplify by multiplication
=-15 + (2)
Simplify by addition
=[tex]\boxed{-13}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
Solve ( 9 - r) ( 2 - 3r) using the FOIL method. QUICK PLEASE!
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{(9 - r)(2 - 3r)}[/tex]
[tex]\textsf{= 9(2) + 9(-3r) + 2(-r) + (-r)(-3r)}[/tex]
[tex]\mathsf{= 18 - 27r - 2r + 3r^2}[/tex]
[tex]\mathsf{= 3r^2 + 18 - 27r - 2r}[/tex]
[tex]\boxed{\large\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\mathsf{= 3r^2 + 18 + (-27r - 2r)}[/tex]
[tex]\mathsf{= 3r^2 + 18 - 29r}[/tex]
[tex]\mathsf{= 3r^2 - 29r + 18}[/tex]
[tex]\boxed{\large\textsf{Therefore, your answer is: \large\boxed{\mathsf{3r^2 - 29r + 18}}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
h(x) = x - 3
g(x) = -2x2 + 4x
Find h (x) · g(x)
-3x^4 + 9x^3 - x + 3
-2x^3 + 10x^2 - 12x
2x^3 + 10x^2 + 12x
x^4 + 6x^3 + 8x^2
Answer:
h(x) = x - 3
g(x) = -2x2 + 4x
Find h (x) · g(x)
-3x^4 + 9x^3 - x + 3
-2x^3 + 10x^2 - 12x
2x^3 + 10x^2 + 12x
x^4 + 6x^3 + 8x^2
What is the answer A B C or D. WILL GIVE BRAINLIEST
your answer is 1/36 because if you spin once it would be 1/18 and if spin x2 the answer would be 1/36
Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
a. f(-8)
b. f(x+2)
c. f(-x)
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
what is 550÷1000000??
This is a long division problem.
Answer:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Step-by-step explanation:
[tex]550/1000000=55/100000[/tex] | Take one 0 from each side of the divider
Now that it's simplified, we can more easily solve the problem:
[tex]55/100000=5.5*10^{-4}[/tex]
We can also write this as a fraction or a decimal:
[tex]5.5*10^{-4}=\frac{11}{20000}=.00055[/tex]
Simplify the expression and write your answer in
scientific notation: (1.9 X 105)3
Need help with 6 ASAP
Find the principal (positive) square root of 15. If necessary, round the answer
to the nearest hundredth (two decimal places).
√5(√10+√3)
SHOW HOW YOU GOT THE ANSWER
√5(√10 + √3) = √(5 · 10) + √(5 · 3) =
= √50 + √15 = √(25 · 2) + √15 =
= √(5² · 2) + √15 = 5√2 + √15 ← the end
please answer the question above and pick an answer choice from the ones provided
Answer:
1,2 and 4 are equivalents. 3 is not equivalent
2P-I, mark that one :l
Step-by-step explanation:
Algebra 1 please help
What is the area of the following composite figure? All angles are right angles.
Answer:
24 meters squared
Step-by-step explanation:
2 + 1 + 1 = 4
5 x 4 = 20
(2 x 1) x 2 = (2) x 2 = 4
20 + 4 = 24 meters squared
Translate the sentence into an equation or formula.
The sum of x and its square is equal to y times z.
Answer:
x + x^2 = y*z
Step-by-step explanation:
equation: x+ x^2 = y*z
The sentence is converted into an equation or formula that will be x + x² = yz.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Translate the sentence into an equation or formula. The sum of x and its square is equal to y times z.
The square of the number x will be x². And the product of the numbers y and z will be yz. Then the equation will be
x + x² = yz
The sentence is converted into an equation or formula that will be x + x² = yz.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Help!!! Solve for variable and show steps
Step-by-step explanation:
here,
[tex] \sqrt{x + 4} - 3 = 1[/tex]
[tex] \sqrt{x + 4} = 1 + 3[/tex]
[tex] \sqrt{x + 4} = 4[/tex]
[tex]x + 4 = (4) ^{2} [/tex]
[tex]x + 4 = 16[/tex]
x=16-4
x=12