Answer:
situation a and she bought 3 pounds
Step-by-step explanation:
Answer:
A) 2 + i
Step-by-step explanation:
F(x) = x^3 - 3x^2 + x + 5
0 = x^3 - 3x^2 + x + 5
0 = (x+1)(x^2 - 4x + 5)
Great, now we can separate these two parenthesis expressions because of the Zero Product Property. Start with the simple one:
0 = x + 1
<u>x = -1</u>
We have our first real root! But it doesn't look like that's one of the answer choices, so move on to the other expression:
0 = (x^2 - 4x +5)
This expression can't be factored, so we will use the quadratic formula (which is x =
).
First solve for the positive part:
= (4 + sqrt(16-20)) / 2
= 4 + sqrt(-4) / 2
= 4 + 2i / 2
<u>= 2 + i</u>
Then for the negative part:
= (4 - sqrt(16-20)) / 2
= 4 - sqrt(-4) / 2
= 4 - 2i / 2
<u>= 2 - i</u>
<u></u>
<u>2 + i</u> is answer choice A! Our other roots, <u>2 - i</u> and <u>-1</u>, aren't answer choices.
Answer:
m1 = 62.5
m2 = 62.5
m3 = 55°
m4 = 75°
m5 = 50°
Step-by-step explanation:
m1: Sides 1 and 2 are congruent so angle will be the exact same as m2:
180° - 55° = 125 | 125 / 2 = <u>62.5°</u>
m2: same as m1; <u>62.5°</u>
m3: equivalent to <u>55°</u> due to its location
m4: angle of a line is 180° so 180° - 105° = <u>75°</u>
m5: angles of triangle add to 180° so 180° - (75° + 55°) = <u>50°</u>
Percent means parts out of 100
105%=105/100=1.05
'of' means multiply
105% of 260=1.05 times 260=273
Answer:
9 pieces
Step-by-step explanation:
28 inches rope cut into 3-inch pieces
There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces
---------
<u>Note:</u>
- The close answer choice is 8
- 28/8 = 3 1/2 or 3.5
- So if cut into 3.5 inch pieces then it is 8 full pieces
- just in case it was typo 3 instead of 3.5