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Tanya [424]
2 years ago
9

What and equivalent expression for 6 (5a + 9b)

Mathematics
1 answer:
Maurinko [17]2 years ago
5 0

Answer:

6(5a + 9b)

30a + 45b

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What is the midpoint between the points (1, 4) and (-3, 2)?
emmasim [6.3K]
\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad 
%  (c,d)
&({{ -3}}\quad ,&{{ 2}})
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -3}} + {{ 1}}}{2}\quad ,\quad \cfrac{{{ 2}} + {{ 4}}}{2} \right)
6 0
4 years ago
Read 2 more answers
1. Explain why n root a^n= |a| when n is even, but not when n is odd.
kogti [31]

Step-by-step explanation:

In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.

For a non-negative value of a, a^n is non-negative for all values of n.

If a is negative, and n is even, then a^n is non-negative.

If a is negative, and n is odd, then a^n is negative.

|a| is non-negative for all values of a.

sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.

8 0
3 years ago
State whether f is a function
Alenkinab [10]
<h2>Answer:</h2>

y=\pm (\frac{x}{6})^{\frac{1}{4}} \ is \ not \ a \ function

<h2>Step by step solution:</h2>

A function f from a set A to a set B is a relation that assigns to each element x in the set A exactly one element y in the set B. The set A is the domain (also called the set of inputs) of the function and the set B contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function f has an inverse function if and only if there is no any horizontal line that intersects the graph of f at more than one point. So the function is called one-to-one. The graph of f is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find f^-{1}(x):

f(x)=6x^4 \\ \\ Substitute \ f(x) \ by \ y \\ \\ y=6x^4 \\ \\ Interchange \ x \ and \ y: \\ \\ x=6y^4 \\ \\ Solve \ for \ y: \\ \\ y^4=\frac{x}{6} \\ \\ Solving \\ \\y=\pm \sqrt[4]{\frac{x}{6}} \\ \\ \boxed{y=\pm \left(\frac{x}{6}\right)^{\frac{1}{4}}}

and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.

5 0
3 years ago
Read 2 more answers
What is distance between -8 and 3 on the number line
Anna11 [10]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
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Mr North spent $144,00 to build a fence around the perimeter of bis vegetable garden.He paid $6.oo per yard for fencing.
NikAS [45]
First, you could see the amount of fence he could buy, or 144/6, which would be 24, so Mr. North can buy 24 yards of fencing.
So now to find the possible plans, we know that there are four sides, but the width and the length occur twice since it's a rectangle.
So since we know that, we can just split 24 in half to find the possibilities for one of the width sides and one of the length sides, if that makes any sense. 24/2 = 12.
So now, you could say some possibilities are length = 6 and width = 6, or length = 4 and width = 8.
And now, to consider which plan would be the best, it would probably be a 6x6 design, because it gives the biggest area to the vegetable garden, and is easy to move around.
width = 6
length = 6
area = 36 square yards (6×6)
perimeter = 24 yards (6+6+6+6)
5 0
3 years ago
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