Answer:
f(t) = 5×0.87^t
Step-by-step explanation:
The general form for an exponential function described in this fashion is ...
... f(t) = (starting value) × (1 + (percent change))^t
Here, the "percent change" is -13%, or -0.13.
Then the value (1 + percent change) is (1 + (-0.13)) = 0.87. Putting this and the starting value into the form above, we have ...
... f(t) = 5 × 0.87^t
Answer: -8, -7, -6, -5
Remember: consecutive numbers are numbers that are back to back. For example, 1, 2, 3, and 4 are consecutive numbers while 1, 3, 5, and 6 are not.
Form your equation. Let x be your first number, x + 1 your second number, x + 2 your third, and x + 3 is your fourth. To further understand this, temporarily substitute 1 for x, and you will find that they are consecutive.
(x) + (x + 1) + (x + 2) + (x + 3) = -26
Solve for x.
(x) + (x + 1) + (x + 2) + (x + 3) = -26 Distributive Property
x + x + 1 + x + 2 + x + 3 = -26 Combine like terms
4x + 1 + 2 + 3 = -26 Combine like terms
4x + 6 = -26 Subtract 6 from both sides
4x = -32 Divide by 4 to both sides
x = -8 Isolated x
Substitute (-8) for x to find the numbers.
1st #: x = -8
2nd #: x + 1 = (-8) + 1 = -7
3rd #: x + 2 = (-8) + 2 = -6
4th #: x + 3 = (-8) + 3 = -5
The numbers are -8, -7, -6, and -5.
You can also check your work.
(-8) + (-7) + (-6) + (-5) = -26
-26 = -26
Answer:
x = 6
Step-by-step explanation:
7 + x - 15 = -2
⇒ x-15 +7 = -2
⇒ x -8 = -2
add 8 on both sides
⇒ x= -2 +8
∴x = 6
Answer:
D.11
Step-by-step explanation:
D.11
<u>Answer:</u>
- The length of the hypotenuse is 36 miles.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
- 39² = a² + 15²
- => 1521 = a² + 225
- => a² = 1296
- => a = 36
Hence, the length of the hypotenuse is 36 miles.
Hoped this helped.
