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3 years ago

Find the x-intercepts of the following parabola. y = -4x2 + 8x + 12

Mathematics

2 answers:

lions [1.4K]3 years ago

7 0

Answer:

Option B

Step-by-step explanation:

Equation of a parabola is given as y = -4x² + 8x + 12

We have to find the x-intercepts, of the parabola.

for any point on x-axis y coordinates will be zero.

So put placing y = 0 in the equation.

0 = -4x² + 8x + 12

-4(x² - 2x - 3) = 0

x² - 2x - 3 = 0

x² - 3x + x - 3 = 0

x ( x-3) + 1( x - 3) = 0

( x+1 ) ( x - 3 ) = 0

( x + 1 ) = 0 ⇒ ( x = -1 )

( x - 3 ) = 0 ⇒ ( x = 3 )

points on x-axis will be ( -1, 0 ) & ( 3, 0 )

Option B is the answer.

Marta_Voda [28]3 years ago

3 0

B. is the answer dude

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State two numbers such tagt the lesser number is 25% less than the greater number

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3 is the lesser and 4 is the higher, because taking away 1 from four is 25%.

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3 years ago

The following table shows the speeds at which Jeff does 4 activities. For example, biking has a rate of 19 miles in 2 hours. Whi

ExtremeBDS [4]

The type of activity that Jeff does at a speed of 4.5 miles per hour is Swimming

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration ( m/s² )</em>

<em>v = final velocity ( m/s )</em>

<em>u = initial velocity ( m/s )</em>

<em>t = time taken ( s )</em>

<em>d = distance ( m )</em>

Let us now tackle the problem !

<em>This problem is about Kinematics.</em>

We will solve it in the following way

$\texttt{Speed of Biking} = \texttt{Distance of Biking} \div \texttt{Time Taken}$

$\texttt{Speed of Biking} = \texttt{19} \div \texttt{2}$

$\texttt{Speed of Biking} = 9.5 \texttt{ miles per hour}$

$\texttt{ }$

$\texttt{Speed of Walking} = \texttt{Distance of Walking} \div \texttt{Time Taken}$

$\texttt{Speed of Walking} = \texttt{14} \div \texttt{4}$

$\texttt{Speed of Walking} = 3.5 \texttt{ miles per hour}$

$\texttt{ }$

$\texttt{Speed of Running} = \texttt{Distance of Running} \div \texttt{Time Taken}$

$\texttt{Speed of Running} = \texttt{15} \div \texttt{3}$

$\texttt{Speed of Running} = 5 \texttt{ miles per hour}$

$\texttt{ }$

$\texttt{Speed of Swimming} = \texttt{Distance of Swimming} \div \texttt{Time Taken}$

$\texttt{Speed of Swimming} = \texttt{18} \div \texttt{4}$

$\texttt{Speed of Swimming} = \boxed{4.5 \texttt{ miles per hour}}$

$\texttt{ }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437
Kinetic Energy : brainly.com/question/692781
Acceleration : brainly.com/question/2283922
The Speed of Car : brainly.com/question/568302

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

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