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Finger [1]
3 years ago
11

Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

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Consider the function f(x)=x^2+2x-8
sattari [20]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function   f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

8 0
3 years ago
Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)
VashaNatasha [74]

Answer:

<em>The correct option is:  C)  4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is:   12xy+28xz

First we need to find the GCF(Greatest common factor) of 12xy and 28xz and then we will factor out that GCF.

12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z

We can see that the common factors are:  2,2, x

So, the GCF will be:  2\times 2\times x= 4x

Now factoring out 4x from the given expression, we will get.....

12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)

So, the complete factorization will be:  4x(3y+7z)

7 0
3 years ago
Help will give Brainly points
leva [86]

Answer:

7

Step-by-step explanation:

5 0
3 years ago
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Solve 6n + 10 &lt; 4n + 16
BartSMP [9]

Answer:

n < 3

Step-by-step explanation:

6n + 10 < 4n + 16

( Minus 4n from both sides to isolate + 16 )

2n + 10 < 16

( Minus 10 from both sides to isolate 2n )

2n < 6

( Divide both sides by 2 to isolate n )

n < 3

3 0
3 years ago
Read 2 more answers
150 adults complete a survey
lesya [120]

Answer:

7 : 8

Step-by-step explanation:

150 adults complete a survey. 80 are women. Thus the ratio of number of men to number of women . Therefore the number of men to number of women be 7 : 8

7 0
3 years ago
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