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
cricket20 [7]
3 years ago
6

Complete the table of inputs for the given function.

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

a. x = \frac{3}{8}

b. g(0) = 3

c. x = 1

d. g(3) = -21

Step-by-step explanation:

Given

g(x) = 3 - 8x

Solving (a): When g(x) = 0

Substitute 0 for g(x)

g(x) = 3 - 8x

0 = 3 - 8x

Solve for 8x

8x = 3

Solve for x

x = \frac{3}{8}

Solving (b): when x = 0

Substitute 0 for x

g(x) = 3 - 8x

g(0) = 3 - 8 * 0

g(0) = 3 - 0

g(0) = 3

Solving (c): When g(x) = -5

Substitute -5 for g(x)

g(x) = 3 - 8x

-5 = 3 - 8x

Solve for 8x

8x = 3 + 5

8x = 8

Solve for x

x = \frac{8}{8}

x = 1

Solving (d): When x = 3

Substitute 3 for x

g(x) = 3 - 8x

g(3) = 3 - 8 * 3

g(3) = 3 - 24

g(3) = -21

You might be interested in
29<br> 6. Calculate the hourly rate of a person who works 40<br> hours for a wage of $387.20.
Vikentia [17]

Answer:

$ 9.68

Step-by-step explanation:

a person who earns $387.20. in 40 earns will earn $9.68 in one hour

4 0
3 years ago
Read 2 more answers
To get on a certain toll road a driver has to take a card that lists the mile entrance point. The card also has a timestamp. Whe
kolezko [41]

Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

4 0
2 years ago
Which best describes the error in finding the simple interest earned on $500 at 6% for 18 months?
valentinak56 [21]
$540.00 is the interest
Hope I helped
Let me know if you need me to help you with anything else

My Username: Ashlynnicole02
7 0
3 years ago
Graph the function -2x+5y=10
loris [4]
An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

6 0
3 years ago
2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
Other questions:
  • Factorise <br> a) 4p²-81<br> b) x²-13x+36
    6·1 answer
  • Evaluate the numerical expression.<br><br><br> 9 × [(25 − 6) − (6 + 5)]
    7·1 answer
  • Find the degree of the minomial. 6xy
    6·2 answers
  • Steve picks 55 pounds of pears. He packs an equal amount of pears into 6bags. He then has4 pounds of pears left. What is the wei
    13·2 answers
  • What is the explicit formula for this geometric sequence? 8, 4 2, 1
    11·1 answer
  • If I get +16/20 on a test what percentage is that?
    13·2 answers
  • find four consecutive integers such that three times the sum of the first and the fourth is 114 less than the product of -5 in t
    9·1 answer
  • Find the surface area of the prism.
    12·1 answer
  • Which of the following is a correct interpretation of the expression - 3 - 5?
    5·1 answer
  • A triangle can have sides whose lengths are 9cm, 16 cm, and
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!