All categories

3 years ago

Jenna’s parents have given her an interest free

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

I still still not have the information I neef

Dima020 [189]3 years ago

4 0

What is the question

You might be interested in

The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa

vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:

(-1,14)

14 = a*(-1)^2 + b*(-1) + c

(2,-7)

-7 = a*2^2 + b*2 + c

(5, 8)

8 = a*5^2 + b*5 + c

Rearranging:

a - b + c = 14

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1 -1 1

4 2 1

25 5 1

x =

b =

-7

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =

0.055555556 -0.111111111 0.055555556

-0.388888889 0.444444444 -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

-9

So, a = 2, b = -9, c = 3

5 0

3 years ago

Solve this polynomial expression please.

Sedbober [7]

-9x^3 +54x^2 -30x +12

5 0

3 years ago

Your average walking speed when you step 1 meter in 0.5 second

hram777 [196]

Velocity = distance/time
v = d/t = 1/0.5 = 2m/s

4 0

3 years ago

Claire Judice

Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

4 0

3 years ago

Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than

ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000 Eqn 1

x = y+850 Eqn 2

Putting Eqn 2 in Eqn 1

$(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150$

Dividing both sides by 2;

$\frac{2y}{2}=\frac{3150}{2}\\y=1575$

Putting y=1575 in Eqn 2;

$x=1575+850\\x=2425$

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago