Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 → C
Answer:
infinite solutions
Step-by-step explanation:
replace x with 3y + 9 in the second equation
9 - (3y + 9) = -3y ➡ 9 -3y -9 = -3y ➡9-9 = 3y-3y ➡ 0 = 0
this means whatever numver you write instead of y there will be a solution.
26. 2x^2 +4x -10 = 0 (-4 + - (root(4^2 - 4*2*-10)))/2*2 =
(-4 + - (root(96)))/4
(-4 + (root(96)))/4 ≈ 1.45
(-4 - (root(96)))/4 ≈ -3.45
27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore x -2 = 0 x +3 = 0 x -5 = 0 so f(x) = 0 when x = 2, -3 or 5
28. It looks like it shows you how to do it
Answer:
Step-by-step explanation:
These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.
1. Angle construction:
Given an angle. construct an angle congruent to the given angle.
Given: Angle ABC
Construct: An angle congruent to angle ABC
Procedure:
1. Draw a ray. Label it ray RY.
2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.
3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.
4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.
5. Draw ray RQ.
Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.
You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.
C) They solve the same number of problems per minute
172.5 Divided by 2
115 divided by 2
= 57.5
