Answer:
Step-by-step explanation:
Start with:
Distribute the values on the outside of each of the parentheses.
Combine like terms.
Subtract from both sides of the equation.
Subtract from both sides of the equation.
Now, we need to use our quadratic equation formula:
Identify your values.
Substitute.
(Solve positive)
Solve.
Find the square root of .
Add.
Simplify.
~
(Solve negative)
Solve.
Find the square root of .
Subtract.
Simplify.
Answer: $4,400
Step-by-step explanation:
152 times $29 = $4,408
Answer:
a. d = 1500 - 300t. b. after 2 hours and after 4 hours
Step-by-step explanation:
a. Since Jamie hikes up the mountain at a rate of 300 ft/hr, and the mountain is 1500 ft high, his distance, d from the peak of the mountain at any given time,t is given by
d = 1500 - 300t.
b.If Jamie distance d = 900 ft, then the equation becomes,
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
The equation d = 1500 - 300t. also models his distance from the peak of the mountain if he hikes down at a constant rate of 300 ft/hr
At d = 900 ft, the equation becomes
900 = 1500 - 300t
900 - 1500 = -300t
-600 = -300t
t = -600/-300
t = 2 hours
So, on his hike down the mountain, it takes him another 2 hours to be 900 ft from the peak of the mountain.
So, he is at 900 ft on his hike down after his start of hiking up the mountain at time t = (2 + 2) hours = 4 hours. Since it takes 2 hours to climb to the peak of he mountain and another 2 hours to climb down 900 ft from the peak of the mountain.
Answer:
D
Step-by-step explanation:
To obtain the product of f(x) and g(x)
= 3x(x² - 3x + 5) ← distribute by 3x
= 3x³ - 9x² + 15x → D
Answer:
4 questions
Step-by-step explanation:
90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:
0.9x = 36
x = 40
She must have gotten 40 - 36, or 4 questions wrong.