All categories

3 years ago

What is the vertex form of 4x^2+4x-12

Mathematics

2 answers:

Olin [163]3 years ago

5 0

Answer:

(-1/2, -13/4)

Step-by-step explanation:

Start with y = 4x^2+4x-12. Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.

Factor 4 out of this expression, obtaining: y = 4(x^2 + x - 3).

Next, complete the square of the quantity inside parentheses:

y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or

y = 4[ (x + 1/2)^2 - 13/4 ]

We can now conclude that the vertex is (-1/2, -13/4).

REY [17]3 years ago

3 0

Answer:

(-0.5, -13)

Step-by-step explanation:

You might be interested in

3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.

Diano4ka-milaya [45]

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

$3x^3+21x^2+36x=0$

Taking 3x common.

$3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0$

x = 3

$x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3$

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.

5 0

3 years ago

What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

The length of the missing side is 10

4 0

3 years ago

What is the slope intercept form when m = 1/2 & b = 89 ? Helppppppppp

Zina [86]

Answer:

$y = \frac{1}{2}x + 89$

Step-by-step explanation:

slope-intercept form: y = mx + b

y = (x , y)

x = (x , y)

m = slope = 1/2

b = y-intercept = 89

Plug in the corresponding numbers & variables to the corresponding variables:

y = (1/2)x + 89

$y = \frac{1}{2}x + 89$ is your answer.

5 0

3 years ago

Read 2 more answers

(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x

topjm [15]

Answer:

Step-by-step explanation:

Exponential equation takes the form $y=a*b^x$ where

a is the initial value ( a ≠ 0), and
b is the base ( b ≠ 1)

The equation given in the problem can be written as $y=-4.8*4^x$ , so it is an exponential equation, where a = -4.8 and b = 4.

Thus we can say that the initial value = -4.8 and the base is 4

The correct answer is D

3 0

3 years ago

A car is traveling at a rate of 55 miles per hour . Let x=time in hours and y=number of miles . What is the equation that models

Orlov [11]

Givens

The equation is miles = rate of travel * hours.

Let the rate of travel = k

Let the miles = y

Let the number of hours = x

Equation

y = k*x Is the answer that you seek <<<<<Answer

5 0

3 years ago