Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
(9*2)+(x*2)=48
18+2x=48
2x=30
x=15
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
Answer:
only one solution
Step-by-step explanation:
Complete question:
<em>Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) </em>=
Given the expression
2x − y = 2 .... 1
3x + y = −6 ..... 2
We are to determine the number of solution the equation has:
Add equation 1 and 2
2x + 3x = 2 - 6
5x = -4
x = -4/5
Substitute x = -4/5 into 1
From 1: 2x − y = 2 .... 1
2(-4/5) - y = 2
-8/5 - y = -2
-y = -2+8/5
-y = -10+8/5
-y = -2/5
y = 2/5
<em>Since the value of x and y are just 1 hence the system of equations has ine solution</em>
The Pythagorean Theorem applies to all right angle triangles. Therefore if you substitute the numbers, it should work out.
Pythagorean Theorem: a^2+b^2=c^2
Does 8^2+15^2=17^2?
8 squared plus 15 squared is 289. 17 squared is 289. Therefore #1 is a right triangle.
5^2+8^2=11^2
89 doesn’t equal 121 so #2 is not a right angle triangle
