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3 years ago

X^2- 4x- 12 = 0 Solve by factoring and solve by completing the square

Mathematics

1 answer:

DiKsa [7]3 years ago

8 0

Use the formula (b/2)^2 in order to create a new term. Solve for by using this term to complete the square.

Cannot solve by completing the square.

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Factor the expression using the GCF. 18-12

rodikova [14]

Answer:

6(3-2)

Step-by-step explanation:

Find the GCF of both numbers. The GCF is 6. Write it as 6( - )

Then, divide both numbers by 6. 18 divided by 6 is 3 and 12 divided by 6 is 2. Fill in the blanks with 3 and 2. A=6(3-2)

7 0

2 years ago

2. When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16- + 15 + 12.

Sergeu [11.5K]

Answer:

a) The maximum height is approx 15.5 unit.

b) The time it will take for Joey to reach the water is 1.45 hour.

Step-by-step explanation:

Given : When Joey dives off a diving board, the equation of his pathway can be modeled by $h(t)= -16t^2+15t + 12$

To find : a) Find Joey's maximum height.

b) Find the time it will take for Joey to reach the water.

Solution :

Modeled $h(t)= -16t^2+15t + 12$ ....(1)

a) To find maximum height

Derivate (1) w.r.t. t,

$h'= -32t+15$

For critical point put h'=0,

$-32t+15=0$

$t=\frac{15}{32}$

$t=0.46875$

Derivate again w.r.t. t,

$h''= -32$

It is maximum at t=0.46875.

Substitute t in equation (1),

$h(0.46875)= -16(0.46875)^2+15(0.46875)+12$

$h(0.46875)= -3.515625+7.03125+12$

$h(0.46875)= 15.515625$

The maximum height is approx 15.5 unit.

b) To find the time it will take for Joey to reach the water.

Put h=0 in equation (1),

$-16t^2+15t + 12=0$

Apply quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=-16 , b=15, c=12

$t=\frac{-15\pm\sqrt{(15)^2-4(-16)(12)}}{2(-16)}$

$t=\frac{-15\pm\sqrt{225+768}}{-32}$

$t=\frac{-15\pm\sqrt{993}}{-32}$

$t=\frac{-15+\sqrt{993}}{-32},\frac{-15-\sqrt{993}}{-32}$

$t=−0.515,1.453$

Reject negative value.

The time is t=1.45.

The time it will take for Joey to reach the water is 1.45 hour.

5 0

3 years ago

A soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team's profit is the a

Sveta_85 [38]

the answer is three hundred thirty

6 0

3 years ago

Read 2 more answers

please help ill give brainliest if u just want the points comment and ill submit another question for a lot of points just don't

Lesechka [4]

Answer:Jayna charges a lower hourly rate than Hannah

Step-by-step explanation: 3>5

4 0

3 years ago

What is the slope of the function -3,-5

madam [21]

Answer:

y=-5x-3

Step-by-step explanation:

slope is y=mx+b

(y,x)

8 0

3 years ago

X^2- 4x- 12 = 0 Solve by factoring and solve by completing the square​

X^2- 4x- 12 = 0 Solve by factoring and solve by completing the square