Omg at school recently we learned the exact same thing.
(x-8)+4x=7x-16
5x-8=7x-16
-5x -5x
-----------------
-8=2x-16
+16 +16
-----------------
8=2x
4=x
7(4)-16
The answer is 12*
Answer:
-
+ 12
Step-by-step explanation:
h(n) = -4n + 4 (h o g) (n)
g(n) =
- 2
-4(
- 2) + 4
-
+ 8 + 4
-
+ 12
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
___
43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
___
44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer: y = -0.2(x - 2.25)² + 1.6125
<u>Step-by-step explanation:</u>
Abstraction in mathematics is the process of extracting the underlying structures, patterns or properties of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract