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3 years ago

Resolva pelo método da adição: {2x + 3y = 26 {3x + 2y =19

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

(6x+9y=78) - (6x+4y=38) = (5y=40) = y=8

(2x+3(8)=26) = (2x+24=26) = (2x=2) = x=2

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Is the square root of 12 rational or irrational?

Andreyy89

<h3>Answer: Irrational</h3>

We cannot write sqrt(12) as a fraction of two whole numbers

Note how sqrt(12) = 3.464 and the decimal portion goes on forever without any known pattern (and it doesnt repeat either).

Compare this to something like sqrt(16) = 4 which can be written as a fraction 4/1, so sqrt(16) is rational

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3 years ago

A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the

pochemuha

Answer:

The quadratic function whose graph contains these points is $y=-x^{2}-2x-2$

Step-by-step explanation:

We know that a quadratic function is a function of the form $y=ax^{2}+bx+c$ . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

$-2=a*0^{2}+b*0+c\\c=-2$

$-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17$

$-17=a*3^{2}+b*3+c\\ c=-9a-3b-17$

We can solve these system of equations by substitution

Substitute $c=-9a-3b-17$

$-9a-3b-17=25a+5b-17\\-9a-3b-17=-2$

Isolate a for the first equation

$-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}$

Substitute $a=\frac{b}{2}$ into the second equation

$-9\left(-\frac{b}{2}\right)-3b-17=-2$

Find the value of b

$-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2$

Find the value of a

$a=\frac{b}{2}\\ a=-1$

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

$y=-x^{2}-2x-2$

As you can corroborate with the graph of this function.

8 0

3 years ago

Here’s another one that I’m having trouble with

Alla [95]

The total is 94 units.

A square has four equal sides so...

(5x-1)+(4x+3)+(5x-1)+(4x+3)=94

Combine like terms

19x+4=94

Subtract 4 from both sides

94-4=90

18x=90

Divide by 18 on both sides

90/18=5

X=5

Plug 5 in for x on the length of PQ

4(5)+3

20+3=23

Length of PQ=23 units

6 0

3 years ago

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Help I don’t understand

OverLord2011 [107]

Rotation about a point does not change any dimensions. C'D' = CD = 2.8 units.

8 0

3 years ago

What is the APY of a savings account with an APR of 3.9742% compounded monthly? Answer to the four decimal place

Maurinko [17]

Answer:

The APY of the saving account is 4.0474%

Step-by-step explanation:

We know the formula for APY which is given by

$APY=(1+\frac{r}{n} )^n-1$

here, r= interset rate = 3.9742% = 0.039742

n = compounding cycles = 12

On plugging these values in the above formula, we get

$APY=(1+\frac{0.039742}{12} )^{12}-1$

On simplifying this we get

APY =0.04047395=4.0474%

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3 years ago

Read 2 more answers