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3 years ago

Which of these is a parent function? And can you tell me how you know?

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

Hey there!

A parent function is the most basic function in any group of functions. For example, f(x) = x^2 is the parent function for quadratic functions, and y = x is the parent function for linear functions. When there's nothing added, subtracted, multiplied, or divided to the function.

For A, we see that we're multiplying 2 times 3^x, and since this is not any alternation of any parent function or any parent function in particular, we can rule it out.

For B, we see that 3 is being added to x^2, so it cannot be a parent function.

For C, we see that 2 multiplied to e, therefore it cannot be the mot basic function.

Finally, for D, we see a function that looks similar to the quadratic parent function and is very simple itself. Any alterations to this is any other quadratic function

Your answer is D.

Hope this helps!

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How the heck do I solve this? Please help T^T

Lelechka [254]

Answer:

Step-by-step explanation:

The quadratic is

$s(t)=-4.9t^2+12t+1.8$

where s(t) is the height of the ball after a certain amount of time goes by. If we are looking for how long til it hits the ground, we know 2 things from that question. First we know that the height of an object on the ground is 0, and we also know that t is the time that the ball is in the air. Because the height of the ball when it's on the ground is 0, we will set s(t) equal to 0 and factor the quadratic to solve for t, the time the ball is in the air. Throw it into the quadratic formula to find those times.

$t=\frac{-12+/-\sqrt{144-4(-4.9)(1.8)} }{2(-4.9)}$ which will simplify to

$t=\frac{-12+/-\sqrt{179.28} }{-9.8}$

The 2 solutions we get from that are that

$t=\frac{-12+\sqrt{179.28} }{-9.8}=-.1417906 sec$ and

$t=\frac{-12-\sqrt{179.28} }{-9.8}=2.59077sec$

Now, the 2 things in math that will never be negative are distances and time, so we will disregard the negative time and go with t = 2.59 seconds. Not sure to where you need to round.

4 0

3 years ago

A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles

r-ruslan [8.4K]

If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.

6 0

3 years ago

Pls help<br> My teacher rlly tried to make it fun like girl nah it’s still hella boring

Ne4ueva [31]

Your saying you want all 5 of these questions answered?

5 0

3 years ago

11. Kevin is comparing job offers at two stores.

hoa [83]

Answer:

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Step-by-step explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000

8 0

3 years ago

2. Solve the system of equations using the substitution method.

Dimas [21]

Answer:

x = 1

Step-by-step explanation:

2x + 3y = 20

2x + 3(10-4x) = 20

2x + 30 - 12x = 20

combine like terms

-10x + 30 = 20

-30 -30

-10x = -10

divide both sides by -10

x = 1

Hope this Helps!!!

7 0

3 years ago