Answer:
<u><em>canvases over weeks
</em></u>
<u><em>
</em></u>
<u><em>Step-by-step explanation:
</em></u>
<u><em>
</em></u>
<u><em>Given:
</em></u>
<u><em>
</em></u>
<u><em>w(h) represents how many hours per week
</em></u>
<u><em>
</em></u>
<u><em>c(t) approximates how many canvases she paints per hour
</em></u>
<u><em>
</em></u>
<u><em>In function composition, if we have two function f(x) and g(x) then
</em></u>
<u><em>
</em></u>
<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
</em></u>
<u><em>
</em></u>
<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!
Answer:
The diagonal is 30 inches
Step-by-step explanation:
Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this
a² + b² = c²
so we plug our two values to find the diagonal (hypotenuse)
24² + 18² = c²
576 + 324 = c²
900 = c²
c = √900
c = 30
The diagonal is 30 inches
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.
-8, -19, -30, -49 , -60
<u>Step-by-step explanation:</u>
Here we have the following sequence :
-8, -19, -30, _ , _
- First term of sequence is -8 .
- Second term of sequence is -19 :

- Third term of sequence is -30 :

- Fourth term of sequence is :

- Fifth term of sequence is :
Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e.
and common difference
having general equation as :
.
Answer:
Step-by-step explanation:
25 times the sum of 10 and 3