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3 years ago

The tables represent two linear functions in a system,

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer:

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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Answer:

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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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And finally we can convert this into money like this:

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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:

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3 years ago

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ipn [44]

Answer:

The value of x is 3

Step-by-step explanation:

Given:

$x^3 = 27$

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

$(x^3)^{\frac{1}{3} }= (3^3)^{\frac{1}{3}}$

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

$x^1 = 3^1$

x = 3

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3 years ago

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

worty [1.4K]

Answer:

It's not a right angle.

Step-by-step explanation:

Remark

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

AB = 8

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When you add these up, you get 8 + 5 + 9.4 which is 22.4

You may think this is close enough. In this case it is not. Either the perimeter has to 22.4 or the hypotenuse has to be reduced. Let us say it is close, but not close enough.

When you use other methods, you find out that the right angle is actually 90.4 degrees

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