Answer:
Erica: 20
Bo:15
Step-by-step explanation:
(2x - 10) + x =35
3x-10=35
3x=35+10
3x=45
x=15
2x-10=30-10
30-10=20
The difference of course is the symbol between the f and g letters.
The circle notation means we're doing a function composition.
Writing is the same as saying where g is the inner function.
Here's an example
f(x) = x^2
g(x) = 3x
f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)
f( g(x) ) = ( 3x )^2
f( g(x) ) = 9x^2
-------------------
On the other hand, the dot notation means we multiply the f(x) and g(x) functions.
Going back to the previous example, we could say
Answer:
204
Step-by-step explanation:
Following the order of operations, what is within the parenthesis is solved first.
<em>65 x 3 = 195</em>
Then, you add 9 to 195.
<em>195 + 9 = 204</em>
<em>204</em> is the final answer.
Have a nice day! ^-^
Answer:
m∠SRZ=40°
Step-by-step explanation:
The figure shows rectangle RSTW which has the angle RTW with measure of 40°.
1. Sides SR and TW are parallel as opposite sides of rectangle, then angles SRZ and RTW are alternate interior angles. By alternate interior angles theorem, they are cingruent, so m∠SRZ=40° . This option is true.
2. Angles STZ and RTW aro complementary (add up to 90°), then
m∠STZ=90°-40°=50°. This option is false.
3. Angle SRW is a right angle (in rectangle all angles are right angles). By the definition of right angle,
m∠SRW=90°. This option is false.
4. Angle TWR is a right angle (in rectangle all angles are right angles). By the definition of right angle,
m∠TWR=90°. This option is false.