How do you graph the Quadratic Function of y=x-squared - 4

Answers

Answer 1

Answer: y = (x + 2)(x - 2)
y = x(x - 2) + 2(x - 2)
y = x(x) - x(2) + 2(x) - 2(2)
y = x² - 2x + 2x - 4
y = x² - 4

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If the volume of a cube is 27 cubic meters, ﬁnd the surface area of the cube

Answers

The formula for surface area of a cube is 6*e*e or 6e squared.

The formula for volume is e*e*e

The answer to your question would be 3 because 3*3*3 then 9*3=27

Answer:

54square meters

Step-by-step explanation:

Volume of cube = a^3

27=a^3

a=∛27

a=3

Surface area of cube = 6a^2

Surface area=6*3^2

Surface area=6*9

surface area=54

H = vt - 16t^2, solve for v

Answers

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it lessdifficult, is the definition of simplification.

The equation is given below.

h = vt - 16t²

Simplify the equation for v, then the equation is written as,

h = vt - 16t²

vt = h + 16t²

v = (h + 16t²) / t

The equation h = vt - 16t² is solved for v will be given as v = (h + 16t²) / t.

More about the solution of the equation link is given below.

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H=vt-16t²
vt-16t²=H
vt=16t²+H
v=(16t²+H)/t
v=16(t²/t)+H/t
v=16t+H/t

Answer: the answer would be: v=16t+H/t

Subtract. Write your answer in simplest form.
5/6-3/6

Answers

$(5)/(6) - (3)/(6) = (2)/(6)$
= $(1)/(3)$

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?A. 1/(cscx + sinx)
B. sinx + 1
C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answers

C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answer:

multiply the denominator by its conjugate (1-sinx)/(1-sinx)

Step-by-step explanation:

[sinx (1-sinx)] / [(1+sinx)(1-sinx)]

For a client, a landscaper purchases 3 oak trees and 4 maple trees for $380. For his own home, the landscaper purchases 2 oak trees and 5 maple trees for $370. Which augmented matrix represents the situation?

Answers

You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations. Oak trees is x and maple trees is y. The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370. In matrix form, that would be $\left[\begin{array}{ccc}3&4\n2&5\end{array}\right]= \left[\begin{array}{ccc}380\n370\n\end{array}\right]$

The augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

What is an augmented matrix?

The columns of two matrices are combined to create a new matrix known as an augmented matrix.

When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Let us consider x is the oak tree and y is the maple tree then;

⇒3 oak trees and 4 maple trees for $380;

⇒3x+4y = 370

⇒Purchases 2 oak trees and 5 maple trees for $370;

⇒2x+5y=370

The two equations are expressed in the matrixas;

$\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$

Hence, the augmented matrix represents the situation that will be, $\left[\begin{array}{ccc}3&4\n2&5\n\end{array}\right]$ .

To learn more about the augmented matrix refer;

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What adds to 10 and multiplies to 13