We have that 3 * f(x) + 4 * g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 8 and the degree of h(x) is 9, then what is the minimum possible degree of g(x)?

9514 1404 393

Answer:

  9

Step-by-step explanation:

Adding polynomials causes like terms to be combined. The sum cannot have a degree higher than the degree of any of the terms in the sum. If the degree of f(x) is 8, then the degree of g(x) must be 9 in order for the sum to be of degree 9.

1. The school office is now selling neon mechanical pencils. If the office pays $10.80 for a dozen pencils, how much should be charged to make a profit of 75 cents each?
2. Several cases of 16-ounce bottles of water were purchased for $252.00. If one case costs $7.00, how many cases were purchased?
3. Okolona College ordered jerseys to sell at the homecoming game. The college paid $9.25 each for 225 jerseys. Each jersey was sold for $15.75. What was the percent of markup for each jersey? How much profit was made if all of the jerseys were sold?
4. A truck traveled 654 miles on a long distance run. If the truck averaged 55 mph, how many hours did it take to reach the truck's destination? (Round to the nearest hour)
5. Della Riley borrowed $2400 for 6 months to invest in a business venture. If she agreed to pay 8% interest annually, how much will she be repaying?
6. It takes Dan an average of 45 minutes each evening to do his chemistry homework. Dan calculates that he worked a total of 3 hours on chemistry last week. Assuming that Dan worked his average time per evening consistently, how many evenings did Dan work?
7. Jon's car averages 20 mpg in town and 28 mpg on the road. What is the percent of decrease between the two driving conditions?

PLEaSE HELP THIS IS THE LAST ONEEE!!!!!1

Find the arc length of the partial circle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

please help!!

Diego measured the length of a pen to be 22 cm.

The actual length of the pen is 23 cm.

What is the percent error for Diego’s measurement?

Explain or show your reasoning.

Please help 20 points
The number of kilograms that an object weighs varies directly as the number of pounds. If an object weighs 45 kilograms or about 100 pounds, about how many kilograms is an object that weighs 70 pounds?

A toy store’s percent of markup is 35%. A model train costs the store $200. Find the markup.

A(n) _________ states that two quantities either are not equal or may not be equal
a. Algebraic inequality
b. Compound inequality
c. Inequality
d. Solution set

which of the following is the ratio of boys to girls in tamir's math class?
12/27
12/15
15/12
27/12

please answer the question on the picture

What is the solution for -10 -19

A.)x > -19
B.)x -1

Rapid Rental Car charges a $40 rental fee, $25 for gas, and $0.65 per mile driven. For the same car, Capital
Cars charges $55 for rental and gas and $0.75 per mile.
Part 1 out of 2
For how many miles is the rental cost at both companies the same?
The rental costs at both companies are the same at
miles.

I'm confused, is it A or D?

What is the slope of the line?

I need one ratio equivalent to the ratio of white socks to brown socks. I already have 28/1 and I need one more

4(8x + 1) - 6(1 - 8x) .......

Plz help me with these, I don't understand this subject.

An electrician needs 1/3 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 1 2/3 rolls of wire?

What is the reciprocal of 54.2984

Please help me i would appreciate it

help me with this please

Which equation is not a linear function?
A. y=x+2
B. y=x-2
C. y=x2
D. y=2x

PLZ HELP!!

1. Identify the following situation or equations as proportional or non-proportional and explain your reasoning.


The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.

Please help! ASAP! I will give brainliest!!
Tara works at a call center for a home shopping network. The table below shows the number of orders placed with the network per day based on the number of calls received per day by the network.

Number of Calls, x 200 250 300 350 400
Number of Orders, N 170 225 272 326 374

Which equation best models this set of data?
A. N = x2 - 27
B. N = -x2 + 27
C. N = -x + 27
D. N = x - 27

how to graph x<-28 on a number line

A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 29 ​pennies, 13 ​dimes, and 21 quarters. The rest of the coins are nickels. There are 91 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours?

Photos go from A to D. I'm guessing it's A but I still want to check.

help again. thanks again for helping me. also take ur time.

Anybody need help with some work?
Don't feel like scrolling thru the thing so just put them here lol
Doesn't matter what subject.

if x = y then what is x don't answer that the among us code isTMZFUF

Athena was completing a puzzle picture by connecting ordered pairs of points. Her next point is described below:

X-coordinate (-1)


Which ordered pair could be Athena's next point? (ASAP AND I WILL GIVE BRAINLIEST)