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OLEGan [10]
3 years ago
12

The tables represent two linear functions in a system,

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

First table:

(-4, 26), (0, 10) → b = 10

m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4

\boxed{y=-4x+10}

Second table:

(-4, 14), (0, 2) → b = 2

m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3

\boxed{y=-3x+2}

We have the system of equations:

\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22

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Step-by-step explanation:

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ioda

Answer:

76 W *\frac{1kW}{1000 W}= 0.076 kW

0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}

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Step-by-step explanation:

For this case we can convert the average power into Kw like this:

76 W *\frac{1kW}{1000 W}= 0.076 kW

Now on average we know that one person use on average this power over 6.3 hours per day so then we have the following consumption rate:

0.076 kW * 6.3 \frac{hours}{day}= 0.4788 \frac{kWh}{day}

And now we know the total population so then the total consumption per day would be:

113x10^6 people * \frac{0.4788 kWh}{people}= 54104400 kWh

And finally we can convert this into money like this:

54104400 kWh *\frac{0.089 dollars}{1 kWh}= 4815291.6

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ipn [44]

Answer:

The value of x is 3

Step-by-step explanation:

Given:

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To Find:

x = ?

Solution:

We Know that

a = (a^3)^\frac{1}{3}

a = (a)^\frac{3}{3}

We can write 27 as 3 \times 3 \times 3 = 3^3

Taking cube root on both sides

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x^{\frac{3}{3}} = 3^{\frac{3}{3}}

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Help please! <br> This question needs a bit of a hand.
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Answer:

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Step-by-step explanation:

Remark

There's a second restriction on the problem. The Perimeter is 22 cm.

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