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
stiks02 [169]
3 years ago
8

If f(x)= x^2 + 5 and g(x) =5x+4, what is[f o g(6)

Mathematics
1 answer:
natulia [17]3 years ago
7 0
You can do this a couple ways: either find g(6), then find f(x) of whatever that gives you (a 2-step process), or come up with a new expression to represent f(g(x)) and sub 6 into that (a 1-step process). I like the 1-step process more.

g(x) = 5x + 4; We want to sub this expression into every x in f(x) to get f(g(x)). If f(x) = x^2 + 5, then f(g(x)) = g(x)^2 + 5 = (5x + 4)^2 + 5. Now you can sub 6 into this equation and solve: f(g(6)) = (5(6) + 4)^2 + 5 = 1161.
You might be interested in
8x^2+1/9
umka2103 [35]

Answer:

A. Quartic

Step-by-step explanation:

I went to desmos graphing,

8x^2+1/9 (plug it in and looked at the line)

It shows a parabola,

y-intercept: (0,0.111)

"Cubic functions. Three points not in a line determine a parabola, a polynomial function of degree 2. Polynomials of degree 2 are quadratic functions. Their graphs are parabolas."

Therefore, this is a quadratic ( quartic) since the degree in this parabola is 2.

5 0
3 years ago
A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad
astra-53 [7]

Answer:

$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.

Step-by-step explanation:

We are going to assume that a month has 30 days.

  • First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.

  • We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars

  • He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66

  • The problem doesn't tell us that there were unhappy customers that day so that amount is zero.

  • We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.

Thus, the profit for that day is:

1600 - 1300 - 2.66 + 100 = 397.34

<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>

6 0
3 years ago
There are 100 students in 11th grade at john d'obryant school of math &amp; science in boston. 60 like basketball and 70 like te
Kryger [21]
I think 70 because playing on a varsity, i think, means to play both sports. So I added 10 to the number of students that play basket ball, which is also equal to the number of students that like tennis.

im not sure
7 0
3 years ago
Monomials. Please help. I have a test<br> (m^8)^5
cricket20 [7]

Answer:

m^{40}

Step-by-step explanation:

(m^8)^5=m^{8*5} =m^{40}

Hope this helps!

8 0
2 years ago
I need solving 4.8 (x+4)=2.6
victus00 [196]
<span>4.8 (x+4)=2.6
Use distributive property
4.8x + 19.2= 2.6
Subtract 19.2 from both sides
4.8x = -16.6
Divide 4.8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x = -3.458</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Example of <br> Adjacent angles
    5·1 answer
  • Pls help me !!!! In which region in the graph represent the solution set of this system of inequalities?
    10·1 answer
  • jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent varia
    5·1 answer
  • Evaluate the expression when x = 32 and y = 2 x/4y<br> a. 1/16<br> b. 16/21<br> c. 2<br> d. 4
    14·2 answers
  • the function f(x) is g(x)=-3(x+2)^2 after a translation 3 units up and 1 unit right write f(x) in vertex and in standard form
    8·1 answer
  • Please help me right away and you will get 12 points I need it done today so plz help me
    6·1 answer
  • When the point (3,k) lies on each of these lines, find the value of k.
    10·1 answer
  • What i 5 + 5<br> ok<br> ok<br> ko
    9·2 answers
  • If possible please help! With 12
    12·2 answers
  • Using the Factor Theorem, which of the polynomial functions has the zeros 4, <img src="https://tex.z-dn.net/?f=%5Csqrt7" id="Tex
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!