Instructions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).Consider the functions f(x)=x^2+9x and g(x)=1/x.
f(g(-1)) is
g(f(1/2)) is

Answers

Answer 1
Answer:

Answer:

-8

2/19

Step-by-step explanation:

We must substitute x=-1 into g(x) and then the answer of g(x) we must substiute as x into f(x). Similarly we must substitute x=1/2 into f(x) and the answer as x into g(x):

1. x=-1 into g(x)

=1/-1=-1

substitute x=-1 into f(x)

=(-1)^2+9\cdot(-1)=-8

2. x=1/2 into f(x)

=(1/2)^2+9\cdot(1/2)=19/2

substitute x=19/2 into g(x)

=1/(11/2)=2/19

Answer 2
Answer: f(g(x))=1/x^2+9/x\Rightarrow f(g(-1))=-8

f(g(x))=1/(x^2+9x) \Rightarrow g(f(1/2))=4/19

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How many lines of symmetry does a 15-gon have?

Answers

Lines of symmetry is equal to number of sides, so the answer is 15

Jess bought 23 12pounds of candy
for Halloween. She
gave out two-
thirds of the
candy to trick or
treaters How
many pounds of
candy did she give
out?

Answers

She gave out 12 1/2 of her candy to people

Answer:

184 pounds

Step-by-step explanation:

23*12=276

276*2/3=184 lbs

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

Learn more about simultaneous equations here:

brainly.com/question/16763389

#SPJ2

Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

The formula to convert temperatures in Celcius to Fahrenheit is F = 1.8C + 32. If a cake is supposed to be baked at 175 degree Celcius, what temperature Fahrenheit should it be baked?

Answers

Answer:

347 Fahrenheit

Step-by-step explanation:

(175°C × 9/5) + 32 = 347°F

Vertical angles A. angles that are created when two line intersect
B. angles that add up to 180 degrees
C. angles that form a line
D. adjacent angles
plz help

Answers

vertical angles

the correct answer will be

A. angles that are created when two line intersect

because each of the pairs of opposite angles made by two intersecting lines.




Only need help with 8,9,10 please Need the answers Fast don’t understand

Answers

Answer: For number 8, x=6. For number 9, x=7. For number 10, x=15

Step-by-step explanation:

#8:

Angle 16x-6 corresponds to the 90 degree angle. Therefore, they are equal.

16x-6=90

Add six: 16x=96

Divide by 16: x=6

#9

Angle 12x-4 and angle 10x+10 correspond. Therefore, they are equal.

12x-4=10x+10

Subtract 10x: 2x-4=10

Add four: 2x=14

Divide by 2: x=7

#10

Angles 7x and 5x+30 are alternate exterior angles. Therefore, they are equal.

7x=5x+30

Subtract 5x: 2x=30

Divide by 2: x=15