Answer:
9409
Step-by-step explanation:
Let's rewrite 97 as 100 - 3.
Identity used :
<u><em>(a - b)² = a² - 2ab + b²</em></u>
Now, evaluating the expression :
⇒ (100 - 3)²
⇒ (100)² - 2(100)(3) + (3)²
⇒ 10000 - 600 + 9
⇒ 9400 + 9
⇒ 9409
1) Given: f(x) = 3 - x; g(x) = -2x Find g[f(-1)].
g(f(x)) = -2(3 - x) = 2x - 6
g(f(-1)) = 2(-1) - 6 = -2 -6 = -8
g(f(-1)) = -8
Looks like the question 2 and 1 are the same
Both find g(f(-1))
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
The line equation is then calculated as:
Where
So:
Answer:
7
11
Explanation:
We let 0.63 (63 being repeated) be
x
.
x
=
0.6363
...
Since
x
is recurring in 2 decimal places, we multiply it by 100.
100
x
=
63.6363
...
Next, we subtract them.
100
x
−
x
=
63.6363
...
−
0.6363
...
99
x
=
63
The recurring digits '63' cancel off and the result is that
99
x
is non-recurring.
Lastly, we divide both sides by 99 to get
x
as a fraction.
x
=
63
99
=
7
11
