How do you tell if a function is linear?

1 answer:

5 0

It is linear when the highest degree of the variable is 1.

For example the function 3x - 2 is linear ( the x has exponent 1 (x = x^1))

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What is the value of u when u = 100?<br><br> 6u = ?

Mademuasel [1]

You just need to multiply the the numbers the answer is 600

7 0

3 years ago

Maximize Q=xy^2, where x and y are positive numbers, such that x + y^2=10

mr Goodwill [35]

X+y^2=10
minus x from both sides
y^2=10-x
sub (10-x) for y^2 in other equation
Q=x(10-x)
Q=10x-x^2
now find the maximum value
take the derititive
dQ/dx=10-2x
it is zero at x=5
below that, it is positive
after 5, it is negative
max at x=5

solve for y
y^2=10-x
y^2=10-5
y^2=5
sqrt both sides
y=√5

x=5
y=√5
the max value is 25

8 0

3 years ago

Describe one kind of diagram you might draw to help you solve a problem

Mila [183]

You can use a bar graph or histogram to compare amounts of items You can also draw arrays to help with multiplication problems.
In algebra, you can graph equations to see points of sets.

Hope this helps!

5 0

3 years ago

Read 2 more answers

Question

Ahat [919]

Answer:

4 minutes.

Step-by-step explanation:

There are three trains that Rachel has to take to go to her job. The total time is taken by her, on average, 1 hour and 20 minutes i.e. (60 + 20) = 80 minutes.

In his journey, she walks for 15 minutes and a train journey for about 53 minutes.

Then the total waiting time for the trains is (80 - 53 - 15) = 12 minutes.

Therefore, the average waiting time, in minutes, at each of the three train stations will be $\frac{12}{3} = 4$ minutes. (Answer)

8 0

3 years ago

In this picture B and F are midpoints.

Pavlova-9 [17]

now, we know that B and F are midpoints, namely BF is a midsegment of the triangle, and therefore BF || AE, so, the base AE is twice BF.

$\bf 2BF=AE\implies 2(23)=5x-4\implies 46=5x-4\implies 50=5x \\\\\\ \cfrac{50}{5}=x\implies \boxed{10=x}$

3 0

3 years ago