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kompoz [17]
3 years ago
6

Determine which relation is a function.

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0
Letter A is the function because the input has exactly 1 output
anyanavicka [17]3 years ago
7 0
Answer choice a is a function because none of its x values repeat at all.  There is only one -4 in the function.  and same with all the x values
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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord
Vikki [24]
Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters?  well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x,  or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x}  \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7

how much will be it of the 10% juice?  well, y = 15 - x.
6 0
3 years ago
The height to the base of an isosceles triangle is 12.4m, and its base is 40.6m. What are the measurement of the angles of the t
Vsevolod [243]

Answer:

  • angles: 31.42°, 31.42°, 117.16°
  • legs: 23.79 m

Step-by-step explanation:

The base angles can be found from the definition of the tangent function:

  tan(base angle) = height/(half-base length)

  base angle = arctan(12.4/20.3) ≈ 31.418°

Then the apex angle is double the complement of this:

  apex angle = 2(90° -31.418°) ≈ 117.164°

The base angles are 31.42°, and the apex angle is 117.16°.

__

The leg lengths can be computed from the Pythagorean theorem applied to the altitude and the half-base length.

  leg length = √(12.4² +20.3²) = √565.85 ≈ 23.789 . . . . meters

The length of the legs is about 23.79 m.

5 0
3 years ago
Read 2 more answers
What is the smallest value of x, such that
gizmo_the_mogwai [7]

Answer:

Dude, where's the picture?

8 0
3 years ago
-3x+2-5x-7=4x+2 what is the first step solve this<br> equation?
Triss [41]

Answer: x = -0.58

Step-by-step explanation:

-3x+2-5x-7=4x+2

First step, collect like terms

-3x -5x-4x = 2-2+7

-12x = 7

x = 7/-12

x = -0.58

5 0
3 years ago
Please Answer Soon!
Andru [333]

Answer:

sorry for getting it wrong

7 0
3 years ago
Read 2 more answers
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