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evablogger [386]
3 years ago
6

Consider the sequence: 7, 64, 121, 178, 235, ... where u, = 7

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

It is an arithmetic sequence.

Step-by-step explanation:

64 - 7 = 57

121 - 64 = 57

178 - 121 = 57

We have a common difference of 57, so it is arithmetic.

The explicit formula for the nth term

= 7  +57(n - 1).

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A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
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steps

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3 years ago
To define the picture plane, the two-dimensional artist must establish
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The correct answer among the choices given is option D. To define the picture plane, the two-dimensional artist must establish a vanishing point/horizon.  linear perspective is a design where parallel lines converge into a point on an imaginary line or the vanishing point creating an illusion of depth on a two-dimensional surface.
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4 years ago
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4 0
3 years ago
Find (f ∘ g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.
Salsk061 [2.6K]

Given that the two functions are f(x)=9x+2 and g(x)=-9x^2-2x+1

We need to determine the value of (f \circ g)(-6)

<u>The value of </u>(f \circ g)(x)<u>:</u>

The value of (f \circ g)(x) can be determined using the formula,

(f \circ g)(x)=f[g(x)]

Substituting g(x)=-9x^2-2x+1 in the above formula, we get;

(f \circ g)(x)=f[-9x^2-2x+1]

Now, substituting x=-9 x^{2}-2 x+1 in the function f(x)=9x+2, we get;

(f \circ g)(x)=9(-9x^2-2x+1)+2

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(f \circ g)(x)=-81x^2-18x+11

Thus, the value of (f \circ g)(x) is (f \circ g)(x)=-81x^2-18x+11

<u>The value of </u>(f \circ g)(-6)<u>:</u>

The value of  (f \circ g)(-6) can be determined by substituting x = -6 in the function (f \circ g)(x)=-81x^2-18x+11

Thus, we have;

(f \circ g)(-6)=-81(-6)^2-18(-6)+11

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