The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer 1
Answer:

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Answer 2
Answer:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

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How do you solve this problem using substitution and then check it?:y= -3x-2 
2x+5y=16

Answers

You have to get a variable by itself like in here... Y is itself so in the other equation or we can say second one you just have to sub it in... Like

2x+5(-3x-2)=16
2x-15x-10=16
Now you just have to subtract 2 from 15, because of the same variable that is (x)
So -13x-10=16
Take 10 to the other side means add from the both sides, that will get you at
-13x=26
So now x= -2
Remember you added because it was -10 if it would be a positive 10 then you have to subtract it from both of the sides but since here it was negative so you just added them up
Hope i helped
We have the variable y so lets substitute
y=-3x-2
2x+5y=16

2x+5y=16
2x+5(-3x-2)=16
2x-15x-10=16
-13x=26
x=-2

y=-3x-2
  =-3(-2)-2
  =4

2x+5y=16
2(-2)+5(4)=16
-4+20=16
16=16

The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is 14.8099
units, and its area is
square units.

Answers

Perimeter= 22.81

Area= 24

GO PLATO USERS

the perimeter is 22.81 you can use GeoGebra to do this easily.

What is a discrete relation

Answers

Any association or link between elements of one set, called the domain or the set of inputs, and another set, called the range or set of outputs. Good luck!

The formula d = ft can be used to calculate the distance (d) an object travels using its rate of speed (r) and the time it travels (t). Using the formula, which shows the rate the object traveled?

Answers

In that first sentence, you should have typed d = r * t
Rate would be calculated as:
rate = distance / time

The formula for height, in feet of a projectile under the influence of gravity is given by h=-16t^2+vt+s, where t is the time in seconds, v is the upward velocity at the start, and s is the starting height. Marvin throws a baseball straight up into the air at 70 feet per second. The ball leaves his hand at a height of 5 feet. When does the ball reach a height of 75 feet?

Answers

Answer:

1.55s

Step-by-step explanation:

The height equation of the projectile is given as;

h = -16t^2 + vt + s .......1

where;

t is the time in seconds,

v is the upward velocity at the start,

s is the starting height.

Given;

v = 70 ft/s

s = 5 ft

Substituting the values equation 1 becomes;

h = -16t^2 + 70t + 5

For the ball to reach 75 ft, h = 0

75 = -16t^2 + 70t + 5

-16t^2 + 70t + 5 - 75 = 0

-16t^2 + 70t - 70 = 0

solving the quadratic equation;

Time t = 2.83 s and t = 1.55s

Therefore, the ball will first reach 75 ft after 1.55 seconds.

It takes Gary 1 hour to milk all the cows, and it takes Dana 1.5 hours. How long will it take them to do the job together? Please explain all the steps and models/equations used. Thanks so much.

Answers

It takes Gary 1 hour to milk all the cows.  1 hour per job ==> 1 job per hour.

It takes Dana 1.5 hours.  1.5 hour per job ==> 1/1.5 job per hour.

Working together, they can do (1/1 + 1/1.5) job per hour.

To add these fractions, put them over a common denominator:

(1/1 + 1/1.5) = (1.5/1.5 + 1/1.5) = (2.5/1.5) = 5/3 job per hour.

5/3 job per hour ==> 3/5 hour per job.

3/5 hour = 36 minutes.