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8090 [49]
3 years ago
13

F(x) = -4x + 10 g(x) = x2 + 7x+ 5 Composition of functions how to solve value of g [f(4)]

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

9514 1404 393

Answer:

  g(f(4)) = -1

Step-by-step explanation:

Evaluate this the way you would any function. Start with the inner parentheses according to the order of operations. Substitute for the function variable and do the arithmetic.

  g(f(4)) = g(-4·4 +10) = g(-6) = (-6)² +7(-6) +5 = 36 -42 +5

  g(f(4)) = -1

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Find the 7th term of the arithmetic sequence 5x + 9, 8x + 5, 11x + 1,...
ohaa [14]

Answer:

<h2>           \bold{a_7=33x-15}</h2>

Step-by-step explanation:

In arithmetic sequence:  a₂ - a₁ = a₃ - a₂     {common difference}

a_1=5x+9\\a_2=8x+5\\a_3=11x+1\\\\\\d=8x+5-(5x+9)=8x+5-5x-9=3x-4\\\\a_n=a_1+d(n-1)\\\\a_7=5x+9+(3x-4)\cdot6\\\\a_7=5x+9+18x-24\\\\a_7=33x-15

4 0
3 years ago
using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)​
exis [7]

Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)​

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

x = \frac{4-5}{2} = -\frac{1}{2} = -0.5

y-coordinate of the midpoint:

y = \frac{2-1}{2} = \frac{1}{2} = 0.5

The midpoint of the segment is (-0.5,0.5).

3 0
2 years ago
Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P ( A ∪ B ) ? (Express
Aneli [31]

Let A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

= 4/10

= 0.4

Answer: 0.4

5 0
3 years ago
ASAP What is the lateral area of this regular octagonal pyramid?? Explain your answer if you can plz thanks
Archy [21]
The lateral area would be 298.7 cm².

The lateral area is the area of all of the lateral faces of the pyramid.  There are 8 triangles making up the lateral faces.  Each has a base of 6.6.  The formula for the area of a triangle is

A=1/2bh,

so we still need the height of the triangle.

The height of each lateral triangle is the slant height of the pyramid.  The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid.  Thus we use the Pythagorean theorem:

8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h

Substituting this into our area formula we have:
A=1/2(6.6)(8√2)

We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
3 0
3 years ago
Read 2 more answers
30 is 60% of which of the following numbers?
zhenek [66]

Answer:

50

Step-by-step explanation:

30 divided by 0.6 equals 50

hope i helped

4 0
3 years ago
Read 2 more answers
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