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2 years ago

Can u find the slope intercept form pls?

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

Answer:

y=(-3/4)x-2

Step-by-step explanation:

slope intercept is y=mx+b

y--5=-3/4(x-4)

y+5=-(3/4)(x-4)

y+5=-(3/4)x-2

y=(-3/4)x-2

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This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

creativ13 [48]

Answer:

Part a) The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

Step-by-step explanation:

Part a) What is the function’s equation written in vertex form?

we know that

The equation of a vertical parabola written in vertex form is equal to

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

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

$f(x)=a(x-2)^2-8$

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

$0=a(0-2)^2-8\\0=4a-8\\4a=8\\a=2$

therefore

The function’s equation written in vertex form is

$f(x)=2(x-2)^2-8$

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

$f(x)=a(x-x_1)(x-x_2)$

where

a is a coefficient

x_1 and x_2 are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

$f(x)=a(x-0)(x-4)$

$f(x)=ax(x-4)$

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

$-8=a(2)(2-4)\\-8=-4a\\a=2$

therefore

The function’s equation written in factored form is equal to

$f(x)=2x(x-4)$

4 0

3 years ago

A right circular cone has a volume of 25π ft.. If the radius of the cone is doubled but the height remains fixed, what is the vo

Nat2105 [25]

Answer:

B. 100

Step-by-step explanation:

8 0

3 years ago

Find the distance between the pair of points (-3, 1) and (2, 1)

BARSIC [14]

The answer to your question is 5

3 0

3 years ago

Read 2 more answers

Triangle IJK, with vertices I(3,-8), J(9,-7), and K(5,-4), is drawn inside a rectangle, as shown below. What is the area, in squ

MA_775_DIABLO [31]

Answer:

11 sq units

Step-by-step explanation:

(6×4) - ½(6×1 + 4×3 + 2×4)

= 24 - ½(6+12+8)

= 24 - ½(26)

= 24-13

= 11 sq units

4 0

3 years ago

Question 24 Multiple Choice Worth 1 points)

hammer [34]

Given:

The system of equations is:

Line A: $y=x-4$

Line B: $y=3x+4$

To find:

The solution of given system of equations.

Solution:

We have,

$y=x-4$ ...(i)

$y=3x+4$ ...(ii)

Equating (i) and (ii), we get

$x-4=3x+4$

$-4-4=3x-x$

$-8=2x$

Divide both sides by 2.

$-4=x$

Substituting $x=-4$ in (i), we get

$y=-4-4$

$y=-8$

The solution of system of equations is (-4,-8).

Now verify the solution by substituting $x=-4, y=-8$ in the given equations.

$-8=-4-4$

$-8=-8$

This statement is true.

Similarly,

$-8=3(-4)+4$

$-8=-12+4$

$-8=-8$

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0

2 years ago

Can u find the slope intercept form pls?​

Can u find the slope intercept form pls?