Simplify, <em>7(2x+y)+6(x+5y).</em>
<em>a:</em> <em>20x+37y</em>
<em> (7 • (2x + y)) + 6 • (x + 5y)
</em>
<em>Step 2 :
</em>
<em>Equation at the end of step 2 :
</em>
<em> 7 • (2x + y) + 6 • (x + 5y)
</em>
<em>Step 3 :
</em>
<em>Final result :
</em>
<h3><em> </em>
<em> 20x + 37y</em></h3>
Thanks,
<em>Deku ❤</em>
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
A. f(x) = 7 + 0.3x
Just re-read your question! Hope I helped!
Answer:
Easter, Christmas, birthdays, and New Year
Step-by-step explanation:
For me, I would choose Easter because before easter we always go to a church and stay there whole night. After 3-4 a.m, we go home and take a nap. But the most fun activity that we do during Easter is playing a game where we pick the best eggs and beat with each other. Later, our parents hide eggs and a couple of toys in the park and me and my siblings begin finding them.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
#SPJ1
