Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
Answer:
x ≈ 12.96
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 11² = 17²
x² + 121 = 289 ( subtract 121 from both sides )
x² = 168 ( take the square root of both sides )
x =
≈ 12.96 ( to the nearest hundredth )
Answer:
log2(0.25) = -2
512 = 8^3
Step-by-step explanation:
- <em>Use of formula: </em><em>loga (b) = c ⇔ b = a^c</em>
Rewrite the following equation in logarithmic form.
0.25 = 2^-2
Rewrite the following equation in exponential form. log8 (512) = 3
Answer:
Area of the picture is 
Step-by-step explanation:
Given:
Outer rectangle dimensions are 10 cm by 12 cm.
Inner rectangle dimensions are 6 cm by 8 cm.
Area of the picture given as:

Outer rectangle area = 
Inner rectangle area = 
Therefore, the area of the picture is given:
