Answer:
Rounded to the nearest tenth they are -14.5 and 12.5
Step-by-step explanation:
The zeros of a function are the x-intercepts or roots where the function crosses the x-axis. To find them, graph the function x^2 +2x-180 and zoom in on the x-axis.
See attached picture.
Answer:
<u>Part 1: C. $3,159.30</u>
<u>Part 2. C. –5; –135; –10,935</u>
Step-by-step explanation:
Part 1:
Price of the boat = $ 16,600
Depreciation rate = 14% = 0.14
Time of utilization of the boat = 11 years
Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat
Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹
Price of the boat after 11 years = 16,600 * 0.1903
<u>Price of the boat after 11 years = $ 3,159.30</u>
Part 2:
Let's find out the first term of the sequence given:
A(1) = -5 * 3¹⁻¹
A(1) = -5 * 1
A(1) = -5
Let's find out the fourth term of the sequence given:
A(4) = -5 * 3⁴⁻¹
A(4) = -5 * 3³
A(4) = -5 * 27
A(4) = -135
Let's find out the eighth term of the sequence given:
A(8) = -5 * 3⁸⁻¹
A(8) = -5 * 3⁷
A(8) = -5 * 2,187
A(8) = -10,935
Answer:
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
Step-by-step explanation:
Let the
Number of ml of 40% sugar = x
Number of ml of 85% sugar used = y
From the above question, our system of equations is given as:
x + y = 1800mL ....... Equation 1
x = 1800 - y
40% × x + 85% × y = 60% × 1800mL
0.4x + 0.85y = 1080.... Equation 2
We substitute 1800 - y for x in Equation 2
0.4(1800 - y) + 0.85y = 1080
720 - 0.4y + 0.85y = 1080
- 0.4y + 0.85y = 1080 - 720
0.45y = 360
y = 360/0.45
y = 800mL
Solving for x
x = 1800 - y
x = 1800 - 800
x = 1000mL
Therefore,
Number of ml of 40% sugar = x = 1000mL
Number of ml of 85% sugar used = y = 800mL
No they don't.
Phythagorean triple is when the sum of the squares of two numbers is equal to the square of another number.
20^2 + 24^2 = 400 + 576 = 976
31^2 = 961
20^2 + 24^2 should have been equal to 31^2 but that's not the case. So, the side's length don't form a triple.
Hope it helped!
