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Greeley [361]
3 years ago
9

Consider the function y = 3x^2. How do the y-values of this function grow?

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer:

Option D - by adding 3, then 9, then 15, …

Step-by-step explanation:

Given : Function y=3x^2

To find : How do the y-values of this function grow?

Solution :

From the following options the most suitable option is D.

As if we are going to add term and terms our y-values increases.

When we add any term in the function the y value value increases.

If we adding 3, then 9, then 15, … the function continuously grow term by term.

The new function became  y=3x^2+3+9+15+...

Therefore, Option D is correct.

RoseWind [281]3 years ago
6 0
I would say A but I’m not 100% sure.
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ANSWER ASAP! In an arithmetic sequence, a17 = -40 and
dsp73

Answer:

The Recursive Formula of sequence is: 8, 5, 2, -1, -4,...

Step-by-step explanation:

Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

We have given that,

a₁₇ = -40  ⇒ a₁₇ = a + (17 - 1)d

⇒ -40 = a + 16d        →      (1)

Also, a₂₈ = -73  ⇒ a₂₈ = a + (28 - 1)d

⇒ -73 = a + 27d           →    (2)

Solving, equation (1) and (2), We get  

a = 8, d = -3

Hence, First term = a = 8

Second term = a + d = 8 - 3 = 5

Third term = 5 + d = 2

Fourth term = 2 + d = -1

Thus, The Arithmetic Sequence is: 8, 5, 2, -1, -4,...

8 0
3 years ago
Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up
Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

a. Ms. Lane will repay the bank fewer dollars than she initially borrowed.

b. Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

c. Ms. Lane's repayment will give the bank greater purchasing power than it originally loaned her.

d. Ms. Lane's repayment will give the bank the same purchasing power that it originally loaned her.'  

Solution :

We have,

The borrowed amount, P = $ 1,000,

Interest rate, r = 10% = 0.1,

Time, t = 1 year,

Thus, the returned amount,

A=P(1+r)^t=1000(1+0.1)^1=1000(1.1) = \$ 1100

∵ A > P

⇒ Ms. Lane will repay the bank greater dollars than she initially borrowed.

Now,  the price level went up by 15 percent,

∵ 1000 + 15% of 1000 = 1000 + 150 = 1500

And, 1500 > 1100

⇒ Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

8 0
3 years ago
A store in Ashland purchased a cat calendar at a cost of $1.30 and marked it up 100%. Later on, Fernando bought the cat calendar
Arada [10]

Answer:

$2.99

Step-by-step explanation:

Given that:

Purchase price of cat calendar = $1.30

Markup = 100%

Hence, price at which the cat calendar was sold :

1.30 + 100%(1.35)

$1.30 + $1.30 = $2.60

Sales tax = 15%

Amount paid as sales. tax _

15% * 2.60 = $0.39

Total amount paid :

$2.60 + 0.39 = $2.99

7 0
3 years ago
In triangle ABC, the size of angle B is 5 times the size of angle A, and the size of angle C is 7 less than 4 times the size of
kipiarov [429]
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.

Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.

We now know the following:

Angle A: a
Angle B: 5a
Angle C: 4a-5

Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.

So we have: a+5a+4a-5 = 180

We can solve that equation by combining like terms to get: 10a-5=180

We can add 5 to both sides: 10a =185

And divide by 10: a = 18.5

That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.

Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.

One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!

Hope that helps you!!
5 0
3 years ago
A penguin walks 10 feet in 6 seconds. At this speed:
AlexFokin [52]

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

7 0
3 years ago
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