Ask question

Ask question

All categories

3 years ago

15

Consider the steps for solving 3x^2 - 42x 9 = -5 for x by completing the square. step 1) 3x^2 - 42x = -14 step 2) 3(x^2 - 14x) =

-14 step 3) 3(x^2 - 14x 49) = -14 ___ what number should be added to the right side of the equation?

1 answer:

lana [24]3 years ago

8 0

Positive 49 goes in the blank

You might be interested in

A 1400 kg car moving +13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the c

Kamila [148]

Answer:

The velocity of the car after the collision is -5.36 m/s

Step-by-step explanation:

An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.

let the following:

m₁ = mass of the car = 1400 kg

m₂ = mass of the truck = 3200 kg

u₁ = velocity of the car before collision = 13.7 m/s

u₂ = velocity of the truck before collision = 0 m/s

v₁ = velocity of the car after collision

v₂ = velocity of the truck after collision

v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)

= [ 13.7 * (1400 - 3200) + 0 * 2 * 3200 ]/ (1400 + 3200)

= - 5.36 m/s

So, <u>the velocity of the car after the collision is -5.36 m/s</u>

7 0

3 years ago

Solve the system of equations using substitution.

Lunna [17]

See attached picture for answer:

5 0

3 years ago

Read 2 more answers

Determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial).

timofeeve [1]

Answer:

The procedure results in a binomial distribution

Step-by-step explanation:

If all 120 couples used the YSORT method, it is fair to assume that the probability of a baby being a boy or a girl are constant through all trials (120 couples). Assuming 120 randomly selected couples, there is a fixed number of independent trials. Finally, since the babies can only be a boy or a girl, the binary condition is satisfied and thus, the distribution is binomial

3 0

3 years ago

Please help. I’ll mark you as brainliest if correct!

chubhunter [2.5K]

Answer:

$\boxed{\sf \ \ \ f^{-1}(x)=1+\sqrt{x} \ \ \ }$

Step-by-step explanation:

the minimum of f is for x = 1 and f(1)=0

f is decreasing for x<=1 and increasing for x>=1

so the domain is $[1;+\infty[$

$f^{-1}(f(x))=x =f^{-1}((x-1)^2)\\\\f(f^{-1}(x))=x=(f^{-1}(x)-1)^2$

x>=1 so x is positive and we can take the square root

so $f^{-1}(x)=1+\sqrt{x}$

8 0

3 years ago

Answer this one for me thanks ppppp

Brilliant_brown [7]

Answer:

16.6 units

Step-by-step explanation:

Hi there!

We can use the Pythagorean theorem to help us solve this problem: $a^2+b^2=c^2$ where c is the longest side of a right triangle (the hypotenuse) and a and b are the other two sides

It's safe to assume that x is the longest side in this triangle, making it the c value. Plug 14 and 9 into the equation as a and b and solve for x:

$14^2+9^2=x^2\\196+81=x^2\\277=x^2\\x=16.6$

Therefore, the value of x is 16.6 units when rounded to the nearest tenth.

I hope this helps!

6 0

3 years ago