Simplify 3^1/3 times 9^1/3

Answers

Answer 1

Answer: (x^m)^n=x^(mn)
(x^m)(x^n)=x^(m+n)
make base same
9=3^2
(3^2)^1/3=3^(2/3)

3^1/3 times 3^2/3=3^(1/3+2/3)=3^1=3

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Create a numerical expression for each day of the month using the numbers 1, 2, 3, and 4 with an answer that matches each day.

Answers

Answer:1-2divided by Yx - 4 + 3

Step-by-step explanation:

What is the value of x in the equation 3x – 4y = 65, when y = 4?
the answer is x=27

Answers

What is the value of x in the equation 3x-4y=65 when y=4?

Simple...plug n chug..

3x-4(4)=65

3x-16=65

Now, isolate the variable, x....

3x-16=65
+16 +16

3x=81

Now, divide,

$(3x)/(3) = (81)/(3)$

x=27.

Thus, your answer.

Find m<1.
78%.
53%.
38%.
42%

Answers

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.
You know two angles, one 90 degrees, and the other 38 degrees. Add 90 and 38 together to get 128

Now 180-128 gets 52 degrees

Angle m is 52 degrees

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Answers

2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)

paralell lines have the same slope

in the form
ax+by=c
a and b influence the slope
since it is the same slope
a and b remain the same

2x+3y=c
find c
(-2,3)
x=-2
y=3
input those points to find c
2(-2)+3(3)=c
-4+9=c
5=c

the equesiton is

2x+3y=5

If f(–5) = 0, what are all the factors of the function f(x) = x^3 - 19x + 30. Use the Remainder TheoremA (x – 2)(x + 5)(x – 3)
B (x + 2)(x – 5)(x + 3)
C (x – 2)(x + 5)
D (x + 2)(x – 5

Answers

If f(-5)=0, then x+5 is first factor of given polynomial.

1. Divide polynomial $x^3 - 19x + 30$ by x+5:

$x^3 - 19x + 30=(x+5)(x^2-5x+6)$ .

2. Factor the trinomial $x^2-5x+6$ :

3. Then

$x^3 - 19x + 30=(x+5)(x-2)(x-3)$ .

Answer: correct choice is A.

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).

Option A is the correct answer.

We have,

To determine the factors of the function f(x) = x³ - 19x + 30 using the RemainderTheorem, we need to find the values of x that make the function equal to zero.

Given that f(-5) = 0, we know that (x + 5) is a factor of the function.

Using syntheticdivision, we can divide f(x) by (x + 5):

-5 | 1 0 -19 30

| -5 25 -30

-----------------------

1 -5 6 0

The result is a remainder of zero, indicating that (x + 5) is a factor.

Now we need to factorize the remaining quadratic expression:

1x² - 5x + 6.

This quadraticexpression factors as (x - 2)(x - 3).

Therefore,

The factors of the function f(x) = x³ - 19x + 30 are (x + 5)(x - 2)(x - 3).