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r-ruslan [8.4K]
2 years ago
10

Write 8 x 8 x 8 x 8 x 8 in exponent notation and evaluate the expression.

Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

Answer:

8⁵ = 32768

Step-by-step explanation:

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Write an equation for the line, given the that m=3 and the y-intercept is (0,2)
lina2011 [118]
All equations of lines must be wrote in the form: Y=mx+c

m= the gradient
c= y intercept

Y= 3x+2

Hope this helps!
5 0
3 years ago
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Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
To win a​ lottery, 7 numbers are drawn at random from a pool of 21 numbers. Numbers cannot repeat. If a person has one​ ticket,
Aleks04 [339]

Answer:

the answer should be 3....this is not right btw

7 0
2 years ago
Read 2 more answers
A rectangle has its base on the x axis and its upper two vertices on the parabola y = 9 − x2. (a) Draw a graph of this problem.
gtnhenbr [62]

Answer:

  • (a) see attached
  • (b) width: 2x; height: y = 9-x²
  • (c) A=2x(9-x²) . . . 0 ≤ x ≤ 3
  • (d) dA/dx = -6x² +18; x=±√3
  • (e) 12√3 units²

Step-by-step explanation:

(a) The attachment shows the graph of the parabola in blue. It also shows an inscribed rectangle in black.

(b) The upper right point of the rectangle is shown in the attachment as (x, y). The dimension y is the height of the rectangle. The x-dimension is half the width of the rectangle, which is symmetrical about the y-axis. Hence the width is 2x.

(c) As with any rectangle, the area is the product of length and width:

... A = (2x)(9 -x²) . . . . . the attachment shows a graph of this

... A = -2x³ +18x . . . . . expanded form suitable for differentiation

A suitable domain for A is where both x and A are non-negative: 0 ≤ x ≤ 3.

(d) The derivative of A with respect to x is ...

... A' = -6x² +18

This is defined everywhere, so the critical values will be where A' = 0.

... 0 = -6x² +18

... 3 = x² . . . . . . . divide by -6, add 3

... √3 = x . . . . . . . -√3 is also a solution, but is not in the domain of A

(e) The rectangle will have its largest area where x=√3. That area is ...

... A = 2x(9 -x²) = 2√3(9 -(√3)²) = 2√3(6)

... A = 12√3 . . . . square units . . . . ≈ 20.785 units²

7 0
3 years ago
Help me I dunno know.
k0ka [10]

There is a rule:

One input(x-value) can only have one output(y-value) in order to be a function.

If one input has more than one output, it is not a function.

(This doesn't apply to outputs, one output can have more than one input and still be a function)

The 1st option is not a function because the inputs 9 and 10 have more than one output.

The 2nd option is not a function because the input 3 has more than one output.

The 3rd option is a function because each input only has one output.

The 4th option is not a function because the input 5 has more than one output.

4 0
3 years ago
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