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brilliants [131]
3 years ago
11

Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

-5

Step-by-step explanation:

At first,

f(-1) = 3 x (-1)² + 5 x (-1) -7

= 3 - 5 - 7

= -9

g(f(-1)) = g(-9)

= 2 x (-9) + 13

= -18 + 13

= -5

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z_1=12[cos(55^o)+i~sin(55^o)]\\\\
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\end{cases}\\\\
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\bf ~~~~~~\textit{ product of two complex numbers}\\\\
{{ r_1}}[cos({{ \alpha}})+isin({{ \alpha}})]\quad \cdot \quad {{ r_2}}[cos({{ \beta}})+isin({{ \beta}})]
\\\\\\
\implies {{ r_1\cdot r_2}}[cos({{ \alpha}} + {{ \beta}})+isin({{ \alpha}} + {{ \beta}})]\\\\
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z_1\cdot z_2\implies 12\cdot 4[cos(55^o+95^o)+i~sin(55^o+95^o)]
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48[cos(150^o)+i~sin(150^o)]
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6 0
3 years ago
Please help MATHEMATICS
Lapatulllka [165]

Answer:

area is 26.75 units^2

Step-by-step explanation:

Top Triangle area is (3.5*9)/2=15.75

Square area is 2*2=4

Left bottom triangle is (2*2)/2=2

bottom right triangle is (2*5)/2=5

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4 0
2 years ago
Which expression could be substituted for y in the second equation to find the value of x?
EastWind [94]

value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Step-by-step explanation:

We need to find Which expression could be substituted for y in the second equation to find the value of x

The given equations are:

2x-y=-10\,\,\,(1)2x - 3y= -1\,\,\,\,(2)

For putting value of y in second equation, we will find from equation 1

From equation 1:

2x-y=-10\\-y=-10-2x\\y=10+2x

Putting value of y i.e y=10+2x in equation (2) to find value of x

2x-3y=-1\\2x-3(10+2x)=-1\\2x-30-6x=-1\\-4x=-1+30\\-4x=29\\x=\frac{29}{-4}\\x=-\frac{29}{4}

So, now finding value of y by putting value of x= -29/4 in eq(1)

2x-y=-10\\2(-\frac{29}{4})-y=-10\\-\frac{29}{2}-y=-10\\-y=-10+\frac{29}{2}\\ -y=\frac{-20+29}{2}\\ -y=\frac{9}{2}\\ y=-\frac{9}{2}

So, value of x is x=-\frac{29}{4} and value of y is y=-\frac{9}{2}

Keywords: System of equations

Learn more about System of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Which models selecting a combination of 3 objects taken from a group of 8 items?
Natalka [10]
The correct answer would be C.) 8C3 = 8!/(5!)3!.
6 0
3 years ago
the population in Anna's town was 2,600 last year , this year , the population is 12% greater. what is the population on Anns to
TiliK225 [7]
2912 is the population . when 12% is increase of the Ann's population
5 0
3 years ago
Read 2 more answers
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