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3 years ago

X4+3x-28 plz solve the question it's urgent plz

Mathematics

1 answer:

Margarita [4]3 years ago

5 0

Answer:

x≈-2.433 ,x≈2.15

Step-by-step explanation:

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Masteriza [31]

What do you want us to answer??

7 0

3 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

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

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

A rectangular area is to be fenced in with 300 feet of chicken wire. find the maximum area that can be enclosed.

GarryVolchara [31]

Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.

2(x+y) = 300
x+y = 150
y = 150-x

A=x(150-x) <--(substitution)

The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150

So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.

A=75(150-75)
A=75*75
A=5625

So the maximum area that can be enclosed is 5625 square feet.

6 0

3 years ago

If BC = CD and AB = 23, what is BD?

True [87]

BD = 46

Explanation:
BC = CD and AC is used for both triangles so AD MUST = AB.
If AB = 23, then AD = 23.
BD = AB + AB
BD = 23 + 23
BD = 46

7 0

3 years ago

If the probability of a win is 0.02, and the probability of a draw is 0.8, what is the probability of a loss?

atroni [7]

A probability is a number between zero and one.

There are 3 options win, lose or draw.
This means that (win + loss + draw = 1)

From the information given you know:
Win = 0.02
Draw = 0.8

So: 0.02 + loss + 0.8 = 1
Therefor loss = 1 - 0.8 - 0.02
loss = 0.18
final answer ^

Hope this helps, let me know if you don't get any of it!

8 0

2 years ago

X4+3x-28 plz solve the question it's urgent plz​

X4+3x-28 plz solve the question it's urgent plz