1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
10

Let f(x) = 5x – 8 and g(x) = 9 - 6x2. - (f o g)(-3) =

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Step-by-step explanation:

f(x) = 5x - 8

g(x) = 9 - 6x²

= (fog)(-3)

= f( g(3) )

= 5x - 8

= 5(9 - 6x²) - 8

= 5(9 - 6(-3)² ) - 8

= 5(9 - 54) - 8

= 5(-45) - 8

= -225 - 8

= -233

(fog)(-3) = -233

You might be interested in
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
3. The spinner below is spun 10 times. If the experimental probability of landing on a 3 is then what is the difference between
Maurinko [17]

Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.

I hope it is helpful

6 0
3 years ago
Part A: how many solutions dose the pair of equations for lines A and B have?
Ede4ka [16]

Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.

Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :

1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.

2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.

3) When two lines intersect each other at one point we say the system of equation has one solution.

Part A:

The given lines are intersecting at one point so we have one solution.

Part B:

The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)

Solution is (4,4)

8 0
3 years ago
Read 2 more answers
Julius is buying beverages for brunch. He needs to buy a total of 5
xeze [42]
Well, he only needs 5 gallons of beverages. Because he buys two containers of each, however, that means he bought 320 gallons total (I would say). How I got my answer:

There are 8 pints in a gallon (8 x 2)
There are 4 quarts in a gallon (4 x 2)
There are 16 cups in a gallon (16 x 2)
There are 128 ounces in a gallon (128 x 2)

With that being said, we can add these to find the total amount of gallons of beverages Julius bought. 16 + 8 + 8 + 32 + 256 = 320.

Hopefully this helps!
7 0
2 years ago
If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest
Art [367]

Complete Question

If minor arc AB measures 9 inches, what is the length of the radius of circle C? Where the radians is 0.75 radians

If necessary, round your answer to the nearest inch. 6 inches 12 inches 18 inches 24 inches

Answer:

12 inches

Step-by-step explanation:

The formula for Arc length =

Arc length = r θ

θ = 0.75

Arc length = 9 inches

Hence:

r = 9/ θ

r = 9/0.75

r = 12 inches

3 0
2 years ago
Read 2 more answers
Other questions:
  • If you place a 100-foot ladder against the top of a 96-foot building, how many feet will the bottom of the ladder be from the bo
    15·2 answers
  • How many real roots are in<br> X^3 - 4x^2 + 5x<br> A) 0<br> B) 3,<br> C) 1<br> D) 4<br> E) 2
    13·1 answer
  • Can someone help me with this math problem please?​
    11·1 answer
  • Please help brainliest and 50 points for whoever answers all of these first
    14·1 answer
  • A boathouse costs $3000 a month to operate, and it spends $750 each
    7·1 answer
  • Lease please help me I will give brainliest to the first right answer!!!!
    5·2 answers
  • 24 = -3(2а — 15) — а
    7·1 answer
  • What is the Surface area​
    13·2 answers
  • Me ajudem por favor<br><br><br><br><br> PS: Explicar resposta
    5·1 answer
  • What is the value of x?<br> Enter your answer in the box
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!