All categories

2 years ago

Which situation best represents a linear function?

Mathematics

1 answer:

yanalaym [24]2 years ago

5 0

Answer:

Step-by-step explanation:

y=3x+55

You might be interested in

A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

ladessa [460]

X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}$

how much of the 40% solution? well y = 10 - x

3 0

3 years ago

((x-h)^2)+((y-k)^2)

Schach [20]

Answer:

Step-by-step explanation:

= (x^2 + h^2 - 2xh) + (y^2 + k^2 - 2yk) As, (a-b)^2 = a^2 + b^2 - 2ab

= x^2 + h^2 - 2xh + y^2 + k^2 - 2yk

5 0

3 years ago

22. If triangle DEC equals about triangle BEC, which is true by CPCTC?

Kruka [31]

<span>D. Line AE equals about line ED because if you measure line AE it is the same length as line ED</span>

4 0

2 years ago

Read 2 more answers

Line b passes through points (9, 1) and (1, 6). Line c passes through points (10, 7) and (2, 12). Are line b and line c parallel

andre [41]

<h2>Answer: Lines b & c are parallel.⇄</h2>

Step-by-step explanation:

When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
When lines are parallel, they have the same slope.

Slope = ( y₂ - y₁) / (x₂ - x₁)

Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )

= 5 ÷ (- 8)

= - ⁵/₈

Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )

= - ⁵/₈

⇒ Line b ║ Line c

8 0

2 years ago

Show how he can make pieces of copper wire whose lenghts in feet are one of each of the whole numbers from 1 to 20 inclusive, wh

katovenus [111]

Hudyydjdjgthdfhtfyhthfyjfjfyyfjfyjfyj

3 0

2 years ago