All categories

2 years ago

Calculate the value

Mathematics

1 answer:

Reika [66]2 years ago

4 0

Answer:

The value of b is either + 6 or -6

Step-by-step explanation:

Here, given that we have the value for the discriminant, we want to calculate the value for the coefficient of x

mathematically, the discriminant can be calculated using the equation;

D = b^2 - 4ac

a represents the coefficient of x^2 which is 3

b represents the coefficient of x given as b

2 represents the last number

D is the discriminant = 12

So we have that;

12 = b^2 - 4(3)(2)

12 = b^2 - 24

b^2 = 24 + 12

b^2 = 36

b = √36

b = +6 or -6

You might be interested in

I = $60, P = $750, r = 4%, t = ?. Find the amount of time

Anuta_ua [19.1K]

Answer:

The time required to accumulate simple interest of $ 60.00

from a principal of $ 750.00 at an interest rate of 4% per year is 2 years.

Step-by-step explanation:

Given

Interest I = $60

Principle P = $750

Interest rate r = 4% = 0.04

To determine

Time period t = ?

Using the formula

I = Prt

t = I / Pr

substitute I = $60, P = $750 and r = 0.04 in the equation

t = 60 / ( 750 × 0.04 )

t = 2 years

Therefore, the time required to accumulate simple interest of $ 60.00

from a principal of $ 750.00 at an interest rate of 4% per year is 2 years.

5 0

2 years ago

Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in eith

adoni [48]

Answer:

a. 8 outcomes

b. Discrete Variable

c. See explanation below

Step-by-step explanation:

Let N = No Offers made

Let Y = Offers made

The Expected outcome are as follows:

NNN, NNY, NYN, YNN, NYY, YNY, YYN, YYY

= 8

Let x = number of offers made

X is said to be discrete if x can take values that are restricted to a defined or limited values

X is said to be continuous if x can take a range of values that is not restricted to any range(i.e. continuous)

Looking at the brief description above, we can conclude that x is discrete

NNN, 0

NNY, 1

NYN, 1

YNN, 1

NYY, 2

YNY, 2

YYN, 2

YYY, 3

Where 0 to 3 represents number of offers at every instance

5 0

3 years ago

If m<BDC = 20, m arc AB = 140, and marc CD = 120, find m<1.<br><br>

lara [203]

Answer:

ljfldnjkafkjagfbkg bkj hbsfgjhg .

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

Which is the function rule that will transform a geometric figure by reflecting across the y-axis and

likoan [24]

I think it’s between the first and third one

8 0

2 years ago