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3 years ago

Consider the graph of the quadratic function. Which interval

Mathematics

1 answer:

Zolol [24]3 years ago

4 0

Answer:

Option D. 1 to 2.5

Step-by-step explanation:

The complete question is

Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?

Options:

A. –2 to –1

B. –1.5 to 0

C. 0 to 1

D. 1 to 2.5

see the attached figure to better understand the problem

we know that

The quadratic function in the graph represent a parabola open downward

The vertex represent a maximum

The x-coordinate of the vertex is approximately 0.5

The axis of symmetry is x=0.5

The function is increasing for x < 0.5 interval (-∞,0.5)

The function is decreasing for x > 0.5 interval (0.5,∞)

Remember that

If the function is decreasing, the rate of change is negative

If the function is increasing, the rate of change is positive

The rate of change is negative in the interval (0.5,∞)

therefore

Option A. –2 to –1 ----> rate of change is positive

Option B. –1.5 to 0 ----> rate of change is positive

Option C. 0 to 1 ---> (0,0.5) the rate of change is positive and (0.5,1) the rate of change is negative

Option D. 1 to 2.5 ---> the rate of change is negative

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Calculate the averages for each category for the three-month period. category jan. feb. mar. average wages $2,100.00 $2,300.00 $

yan [13]

The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .
Jan Feb March
1)
wages $2,100.00 $2,300.00 $2,000.00
sum of the values = 2100 + 2300 + 2000 = 6400
number of values = 3
average = 6400/3 = $ 2133.33
2)
donations $210.00 $230.00 $200.00
average = (210 + 230 + 200)/3
= $ 213.33
3)
mortgage $590.50 $590.50 $590.50
average = ( 590.50 + 590.50 + 590.50)/3
= $ 590.50
4)
electricity $101.25 $89.75 $80.00
average = (101.25 + 89.75 + 80.00)/3
= 271/3
= $ 90.33
5)
water $20.10 $22.30 $24.55
average = (20.10 + 22.30 + 24.55)/3
= 66.95/3
= $ 22.32
6)
car loan $172.54 $172.54 $172.54
average = (172.54 + 172.54 + 172.54)/3
= $ 172.54
7)
food $200.25 $220.70 $205.50
average = (200.25 + 220.70 + 205.50)/3
= $ 208.82
8)
insurance $310.50 $0.00 $0.00
average = ( 310.50 + 0.00 + 0.00)/3
= $ 103.50
9)
clothes $0.00 $0.00 $75.00
average = (0.00 + 0.00 + 75.00)/3
= $ 25.00
10)
car license fee $0.00 $120.90 $0.00
average = (0.00 + 120.90 + 0.00)/3
= $ 40.30
11)
newspaper $0.00 $0.00 $45.00
average = (0.00 + 0.00 + 45.00)/3
= $ 15.00
12)movies $18.00 $0.00 $36.00
average = (18 + 0.00 + 36.0)/3
= $ 18.00
13)
new car $100.00 $100.00 $100.00
average = (100 + 100 + 100)/3
= $ 100.00
14)
gasoline $80.00 $70.00 $75.00
average = (80.00 + 70.00 + 75.00)
= $ 75.00
15)
car repairs $0.00 $119.00 $0.00
average = (0.00 + 119.0 + 0)/3
= $ 39.67
16)
miscellaneous $64.50 $59.25 $72.50
average = (64.50 + 59.25 + 72.50)/3
= 196.25/3
= $ 65.42
17)
savings $140.00 $140.00 $140.00
average = ( 140 + 140 + 140)/3
= $ 140.00

3 0

3 years ago

Which would result in the largest amount of money?!

nignag [31]

Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

8 0

3 years ago

Read 2 more answers

6th grade math help me pleaseeee

sammy [17]

Answer:

Meryann brought 6 friends to the party

Step-by-step explanation:

y=9x+24

24 is your constant because the cost for all the pizza won't change

9x will change, so x represents the number of friends she brought

and y will be 78 because it's the total amount of money

78=9x+24

all you have to do is solve this equation

54=9x

x=6

7 0

3 years ago

Read 2 more answers

13)

grandymaker [24]

Given :

Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.

To Find :

If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.

Solution :

His total earning is given by :

T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)

T = 10x + 13y

Now, he wants to earn a minimum of $300 i.e T ≥ $300.

So, 10x + 13y ≥ 300

Hence, this is the required solution.

8 0

3 years ago

Item 15 Find the sale price. Original price: $50 Discount: 15%

amm1812

Answer:

$42.5

Step-by-step explanation:

Find how much is 15% of 50 first

(15/100)×50=$7.5

$7.5 is the amount that will be discounted so

$50(original price)-$7.5(discount)=$42.5

7 0

3 years ago