Answer:
x = 19
Step-by-step explanation:
Let's convert the given statements into algebraic expressions.
R is five more than twice x:
R = 2x + 5
S is one more than x:
S = x + 1
T is sixteen less than seven times x:
T = 7x - 16
Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:
R + S + T = 180
Substituting the expressions, we have:
2x + 5 + x + 1 + 7x - 16 = 180
Now we do algebra and simply solve for x. Shown below:
Hence, x = 19
Step-by-step explanation:
-4x + 9y = -22
-9x -9y = 126
-13x = 104
x = -8
8 +`y = 14
y = 6
(-8,6)
Answer:
Translation 4 units to the left., followed by
a translation 1 unit down.
Step-by-step explanation:
The parent function is y = x^2 which is a parabola that opens upwards and has a vertex at the point (0,0).
Y = (x + 4)^2 is the graph of x^2 translated 4 units to the left.
The - 1 translates the graph down 1 unit.
So the vertex of the new graph is at (-4, 1).
2.82 × 10^5 = (7.5×10^-1) × Length between the earth and the moon
Length between the earth and the moon = (2.82×10^5)÷(7.5×10^-1) = 376000 = 3.76×10^5
i think this is correct hope it helps.
Answer:
f(0)=1
Step-by-step explanation:
The question asks us to find f(0). We want to find what f(x), or y is, when x is equal to 0.
f(x)=3^x
Therefore, we can substitute 0 in for x.
f(0)=3^0
Evaluate the exponent, 3^0.
Any number raised to the power of zero is equal to 1.
f(0)=1
