All categories

3 years ago

How you express four less than a the square of a number

Mathematics

2 answers:

harina [27]3 years ago

6 0

The answer to your question is (x^ 2) - 4

Vinil7 [7]3 years ago

3 0

Express 4 less than a number is actually easy.
X will be our number.
But it won't be just X, it would be X squared or x^2.
So you do... (x^2)-4.
(The 4 is what you subtract).

You might be interested in

What is the equation, in standard form, of a parabola that models the values in the table?

Vitek1552 [10]

Answer:

b. 4x^2 + 3x - 6

Step-by-step explanation:

The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.

It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.

a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4

b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point

c. Because (b) matches, we know this one will not.

The appropriate choice is B.

8 0

3 years ago

Read 2 more answers

CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re

ladessa [460]

The table gives values of f(x) at various x in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ f(x) dx

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of f(x) these endpoints, so x ∈ {0, 2, 4} and f(x) ∈ {0, 0.48, 0.84}

• approximate the area under f(x) on [0, 6] with the sum of the areas of rectangles with dimensions 2 × f(x) (that is, width = 2 and height = f(x) for each rectangle)

So the Riemann sum is

∫₀⁶ f(x) dx ≈ 2 ∑ f(x)

for x ∈ {0, 2, 4}, which is about

∫₀⁶ f(x) dx ≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0

2 years ago

The volume of this rectangular solid is?

Maru [420]

Well, volume is: length x width x height

so, 5 x 14 x 8= 560 inches

8 0

3 years ago

f(x) = x2. What is g(x)?SIf(x)= x/g(x)(2,1)-5O A.06)-()O B. g(x) = 2x2O C. g(x)-9(x)=(*)O D. g(x)= x2

Andrew [12]

Explanation

As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:

$\begin{gathered} (2,1)=(x,g(x)) \\ x=2 \\ g(2)=1 \end{gathered}$

So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:

$\begin{gathered} g(2)=1=a\cdot2^2 \\ 1=4a \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{1}{4}=\frac{4a}{4} \\ a=\frac{1}{4} \end{gathered}$

Then we get:

$g(x)=\frac{1}{4}x^2=(\frac{1}{2}x)^2$ Answer

Then the answer is option A.

3 0

1 year ago

It requires a minimum of ____ points to make up a plane

baherus [9]

Answer:

Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

3 0

3 years ago

Read 2 more answers