PLEASEEEEEEEEEEE HELPPPP WILL GIVE BRAINLIEST!!!!!!!PLEASEEEEEEE

Crazy boy [7]

Answer:

The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4

Step-by-step explanation:

Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.

The equation can also be written as (76a³+19a²)+(16a+4) = 0

On factorizing out the common terms from each parenthesis, we will have;

19a²(4a+1)+4(4a+1) = 0

(19a²+4)(4a+1) = 0

19a²+4 = 0 and 4a+1 = 0

From the first equation;

19a²+4 = 0

19a² = -4

a² = -4/19

a = ±√-4/19

a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)

From the second equation 4a+1 = 0

4a = -1

a₃ = -1/4

6 0

3 years ago

I need help please answer right

joja [24]

Answer:

8.5 ft is the length, and 7 ft is the width.

Step-by-step explanation:

8.5 ft is the length

6 0

3 years ago

From a point on the ground 47 feet from the foot of a tree, the angle of elevation to the top of the tree is 35º. Find the heigh

frez [133]

Answer:

Step-by-step explanation:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

We want to determine the angle of elevation from the point is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

Therefore, the angle of elevation from the point is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

I think i might of clicked on gthe wrong question sorry

5 0

3 years ago

The daily cost of renting a car is $25

Dvinal [7]

Answer:

A

Step-by-step explanation:

5 0

4 years ago

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function:

Maslowich

Answer:

Part 1) The vertex is the point (1,-9)

Part 2) The equation of the axis of symmetry is x=1

Part 3) The y-intercept is the point (0,-8)

Part 4) The x-intercepts are (-2,0) and (4,0)

Part 5) The graph in the attached figure

Step-by-step explanation:

we have

$h(x)=(x-1)^2-9$

This is a vertical parabola open upward

The vertex represent a minimum

Part 1) Find the vertex

The quadratic equation is written in vertex form

$y=a(x-h)^2+k$

where

(h,k) is the vertex of the parabola

so

The vertex is the point (1,-9)

Part 2) Find the axis of symmetry

The equation of the axis of symmetry of a vertical parabola is equal the the x-coordinate of the vertex

so

The equation of the axis of symmetry is

$x=1$

Part 3) Find the y-intercept

we know that

The y-intercept is the value of the function when the value of x is equal to zero

so

For x=0

$h(x)=(0-1)^2-9$

$h(0)=-8$

therefore

The y-intercept is the point (0,-8)

Part 4) Find the x-intercepts

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

so

For h(x)=0

$(x-1)^2-9=0$

solve for x

$(x-1)^2=9$

square root both sides

$x-1=\pm3$

$x=1\pm3$

$x=1+3=4\\x=1-3=-2$

therefore

The x-intercepts are (-2,0) and (4,0)

Part 5) Plot the graph of the quadratic function

Plot the following points to graph the function

vertex (1,-9)

axis of symmetry x=1

y-intercept (0,-8)

x-intercepts (-2,0) and (4,0)

The graph in the attached figure

4 0

3 years ago

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