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2 years ago

Explain your answer !! Have a nice day Will give braisnlt

Mathematics

1 answer:

DochEvi [55]2 years ago

7 0

Answer:

(-2,3)

Step-by-step explanation:

Step 1. Isolate x for 3x + 5y = 9

3x + 5y - 5y = 9 - 5y

3x = 9 - 5y

3x/3 = 9/3 - 5y/3

x= (9-5y)/3

Step 2. Simplify

-3*((9-5y)/3) + 3y = 15

-3*((9-5y)/3) = 9 - 5y = -(-5 + 9) + 3y

-9+5y+3y

-9+8y = 15

Step 3 Isolate y for -9+8y=15

-9+8y+9=15+9

8y=24

8y/8 = 24/8

y=3

Step 4 Substitute y = 3

x = (9-5*3)/3

-(6/3) = (-2)

x = -2

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Find a second-degree polynomial (that is, an equation of the form y =a + bx + cx2 d that goes through the three points (0, 1), (

Lostsunrise [7]

Answer:

$y = 1 - x^2$

Step-by-step explanation:

we're given three points (0,1),(1,0) and (-1,0). and and equation of a parabola

$y = a + bx + cx^2$

we can plug in each of the coordinates, and 3 equations

(x,y) = (0,1)

$1 = a + b(0) + c(0)^2$

$a=1\quad\quad\Rightarrow A$

(x,y) = (1,0)

$0 = a + b(1) + c(1)^2$

$a + b + c=0\quad\quad\Rightarrow B$

(x,y) = (-1,0)

$0 = a + b(-1) + c(-1)^2$

$a - b + c=0\quad\quad\Rightarrow C$

These are are three equations, well we can simultaneously solve them to find the values of a, b and c.

we already found that, a = 1. so we plug this value in the rest of the equations. we'll use equation B.

$a + b + c=0$

$1 + b + c=0$

$b=-1-c$

we can substitute this value of b and a = 1, equation C

$a - b + c=0$

$1 -(-1-c) + c=0$

$1 +1+c + c=0$

$2+2c=0$

$c=-1$

we can use this value of c back in b

$b=-1-(-1)$

$b=0$

hence our equation of the 2-degree polynomial will be:

$y = a + bx + cx^2$

$y = 1 + (0)x + (-1)x^2$

$y = 1 - x^2$

and this polynomial indeed passes through all the points (0, 1), (1, 0), and (-1, 0).

And since these are the only solutions to the simultaneous equation we solved (i.e. we have single values of a,b and c). there's no other possibility.

8 0

2 years ago

Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i

bulgar [2K]

I remember dis, yey

so if a polynomial has roots $r_1$ , $r_2$ , $r_3$ , it can be factored into
$f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d$ where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root

so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
$P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i))$ which simplifies to
$P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i)$ which expands to
$P(x)=x^4-22x^3+186x^2-1768x+5248$

3 0

3 years ago

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

olga2289 [7]

Answer: 2nd graph

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Plz plz help me I really need help

arlik [135]

Circumference of a circle is 2πr where r is radius of a circle.

2*3.14*7=43.96 almost 44 inches in whole number where π=3.14

4 0

2 years ago

Read 2 more answers

What is 1.208 rounded to the nearest hundredth

rusak2 [61]

Answer:

The answer is 1.21.

Step-by-step explanation:

The hundredth digit in 1.208 is 0, so you have to look at the number after that to either round 0 up or down. The number after 0 is 8. Since 8 is bigger than 5, you round 0 up by 1.

I hope this was clear!

5 0

2 years ago