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ehidna [41]
3 years ago
6

4x+8y=20 -4x+2y= -30

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

x

=

151

21

Step-by-step explanation:

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julia-pushkina [17]

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The temperature of the glass cider (C) at time t is given by:

C(t)=25+80(1.062)^t\\\\When\ C=94^oC,hence:\\\\94=25+80(1.062)^{-t}\\\\t=2.45\ s

It takes 2.45 seconds for the temperature of the glass of hot cider to be 94°C

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
Write -42/9 as a mixed number in reduced form. -3 15/9 -4 5/9 -4 2/3 -4 6/9
vladimir2022 [97]

-4 2/3

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5 0
3 years ago
Read 2 more answers
Write the quadratic function in the form g(x)=a (x-h)2 +kThen, give the vertex of its graph. G(x) =2x2 +20x+49Writing in the for
Snezhnost [94]

The quadratic function given to us is:

g(x)=2x^2+20x+49

We are asked to find the vertex form of the function.

The general formula for the vertex form of a quadratic equation is:

\begin{gathered} g(x)=a(x-h)^2+k \\ \text{where,} \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}

In order to write the function in its vertex form, we need to perform a couple of operations on the function.

1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Now, let us solve.

1. Add and subtract the square of the half of the coefficient of x to the function.

\begin{gathered} g(x)=2x^2+20x+49=2(x^2+10x+\frac{49}{2}) \\ \text{half of coefficient of x:} \\ \frac{10}{2}=5 \\ \text{square of the half of the coefficient of x:} \\ 5^2=25 \\  \\ \therefore g(x)=2(x^2+10x+25-25+\frac{49}{2}) \end{gathered}

2. Factor out the function with its repeated roots and re-write the equation.

\begin{gathered} g(x)=2(x^2+10x+25)-2(25+\frac{49}{2}) \\ re-\text{write the above function} \\ g(x)=2(x^2+10x+25)-1 \\ \text{Let us factorize this:} \\ g(x)=2(x+5)^2-1 \end{gathered}

Therefore, we can conclude that the Equation and vertex of the equation is:

\begin{gathered} Equation\colon g(x)=2(x+5)^2-1 \\  \\ Vertex\colon(-5,-1) \end{gathered}

5 0
2 years ago
If the ratio of a circle's sector to its total area is 5/6, what is the measure of its sector's arc?
Vsevolod [243]
 <span>5/6 X 360 = 300 degrees </span>
5 0
3 years ago
What is the mean absolute deviation for the data set? <br> {20, 24, 12, 44, 68}
Yuliya22 [10]
The mean of a set of numbers is the sum divided by the number of terms.So, 20+24+12+44+68 / 5

mean = 33.6
6 0
3 years ago
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