Answer:
768-452.16=315.84
Step-by-step explanation:
Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C
A rectangular park has an area of A square yards. The length of the park is 50 yards.
Which equation represents, w, the width of the park in yards?
w= A - 2(50)
w=50/А
w=А/50
w= A - 25
Answer:
i believe it would be w=A/50
Step-by-step explanation:
Trever invested $10,000 in an account that earns 8.5%
interest that is compounded monthly.
(a) Write an exponential model for the balance of the
account.
(b) Determine the amount of money in the account
after 15 years.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Trever invested $10,000 in an account that earns 8.5% interest that is compounded monthly.
First, we need to calculate the monthly interest rate:
i= 0.085 / 12= 0.00708
Now, to calculate the future value of the investment, we need to use the following formula:
FV= PV*(1+i)^n
PV= initial investment
i= interest rate
n= number of periods
In this case:
FV= 10,000*(1.00708^n)
Finally, for 15 years:
n= 15*12= 180 months
FV= 10,000*(1.00708^180)
FV= $35,605.31
Factor the expression 5m2−20m
Answer: 5m (m - 4)
Step-by-step explanation:
Just divide by the highest common factor which for the constants it’s 5 and for the variables it’s m
PLSS HELP 50 PTS
Which polygons are congruent?
Select each correct answer.
Answer:
A and B
Step-by-step explanation:
Hope this helped :)
Nancy and Evan are each writing a 6-page essay. Nancy completed 4/6 of her essay in the morning and 2/6 of her essay in the afternoon. Evan completed 3/6 of his essay before school and 2/6 of his essay after school. Nancy says that she completed more of her essay than Evan. Evan says that he completed more of his essay than Nancy. Who is correct?
Answer:Nancy completed more of the essay.
Step-by-step explanation:4/6 + 2/6 = 6/6 = Nancy
3/6 + 2/6 = 5/6 = Evan
Therefore Nancy did more of the essay.
select the three expressions that are equivalent to 3/5a + 10
A. 1/5a + 10 + 2/5a
B. a(3/5 + 10)
C. 14 + 3/5a - 4
D. 1/5 (3a + 50)
E. 10 + 2/5a - a + 1/5a
Answer:
A, C and D
Step-by-step explanation:
Given
[tex]\frac{3}{5}a + 10[/tex]
Required
Select 3 equivalent expressions
[tex]\frac{3}{5}a + 10[/tex]
Express 3 as 2 + 1
[tex]\frac{2 + 1}{5}a + 10[/tex]
Rewrite as:
[tex]\frac{2a + a}{5} + 10[/tex]
Split
[tex]\frac{2a}{5} + \frac{a}{5} + 10[/tex] ----- Option (A)
[tex]\frac{3}{5}a + 10[/tex]
Express 10 as 14 - 4
[tex]\frac{3}{5}a + 14 - 4[/tex]
Rewrite as:
[tex]14+\frac{3}{5}a - 4[/tex] --- Option (C)
[tex]\frac{3}{5}a + 10[/tex]
Factor out 1/5
[tex]\frac{1}{5}(3a + 50)[/tex] --- Option D
Answer:
Option D
Step-by-step explanation:
You can give the guy/girl above Brainliest ^^
They rlly went out of their way to answer that question for you.
They deserve it!
PLZ HELP AND HURRY!!!!
Answer: x=30, Good Luck!
Step-by-step explanation:
45/27 = 1.6666666...
1.66666...(18) = 30
Question 7 Find the volume of the prism.
Answer: i cant see thw whoke length but if both are 8 if 32
Step-by-step explanation:
8 × 2 16 then if the other sides 8 8×2 = 16 16+16 =32
What is the area of the shape below? 6 yd 5 yd 4 yd 9 yd V
Answer:24
Step-by-step explanation:
For an art project, Lisa has decided to decorate the letter block “L” (shown in the diagram) built from two rectangular prisms.
Answer:
2400
Step-by-step explanation:
Maggie picked 2/5 basket of strawberries and Sally picked 2/4. How much more did Sally pick?
Answer:
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5
0.5 - 0.4 = 0.1
Sally picked 1/10 of a basket more than Maggie picked
Answer:
1 this could change depending on how many berries are in each basket
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5
What is the sum of the areas of circle C and circle D?
O 7 units?
7 cm
D
O 1410 units
O 49 units
O 987 units
Answer:
98pi
Step-by-step explanation:
Area of circle: pi(r)^2
A1=pi(7)^2
A2=pi(7)^2
A2+A1=98pi
Given f(x) = V(3 x – 12) +2, what is the range in set notation?
Answer:
Step-by-step explanation:
[2,∞)
Answer:
it's 2
Step-by-step explanation:
YOO LAST ONE HELP OUT
Answer:
The answer for A: The coordinates for G is (5,3) so plot that in.
The answer for B: "G and E are 5 units away from the y-axis"
The answer for C: "The distance between G and E is 10 units"
Hope this helps!
Step-by-step explanation:
A shopkeeper marks the price of his goods 20%
above the purchase price but allows 10% discount to
his customers. He earns a profit of Rs. 120 to do so.
What was the actual purchase price of the goods?
2825
2072
2733
2069
2484
4285
2862
3353
1449
2029
1285
2982
2045
1677
1619
2597
3512
2444
1773
2284
1884
2359
2046
2364
2669
3109
2804
1658
2207
2159
2207
2882
1647
2051
2202
3223
2383
1732
2230
1147
2711
1874
1979
1319
2923
2281
1230
1665
1294
2936
Find mean
Find mean
Answer:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count
Step-by-step explanation:
Solve with yourself
start time: 2:18:09 pm elapsed time: 5 hr 34 min 27 sec end time:??
Answer:
Start time: 2:18:09 pm
End Time : 7:52:36 pm
Step-by-step explanation:
Plus these numbers
2:18:09
5:34:27
_______
2+5 = 7
18+34 = 52
09+27 = 36
7:52:36
PLEASE HELP AGAIN!! Max deposited $4,008 in a savings account with simple interest. Four years later, he had earned $641.28 in interest. What was the interest rate?
Answer:
4%
Step-by-step explanation:
For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.
641.28 = (4008)(r)(4)
641.28 = 16,032r
r = 0.04 = 4%
A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school. Select which sample of students the principal should choose. A Students randomly selected from a list of all students at the school. B Students sitting at randomly selected tables in the library. Students she selects from the hallway between classes. Students selected by the teachers.
Answer:
student randomly selected from a list of all students at the school
What’s the slope of the line I forgot how to do it when it comes to negative ones :((!!
A baker uses 24 cups of flour and 28 cups of water for a recipe. The flour-to-water ratio 24:28 How much water does the baker need if he uses only 6 cups of flour?
Answer: 7
Step-by-step explanation: So 24:28 is equal to 6:? so if we divide 24 by 6 we get 4. So 28 divided by 4 is 7. 6:7 is equal to 24:28.
Hope this helps!
The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
3. Suppose you invest $2250 in a CD that earns 3% APR and is compounded quarterly. The CD matures in 2 years. How much will this CD be worth at maturity?
A pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. Which
multipack is the best value for money?
B UTI-
Write your answer
COOLE SETTINGS
Answer:
get some more help I don't understand
Please help with this if you don’t know don’t answer
Answer:
3\16
Step-by-step explanation:
movement of snail per hour,1/8×3/2=3/16
what 2-1+46-2x0
I tried O but it didn't work
Answer:
answer is 47
Step-by-step explanation:
use the rule, 2x0 = 0 then (2- 1) that's 1 and then (46-0) that's 46 so 1 + 46 is 47
HELP HELP HELP ALSO PLEASE EXPLAIN HOW U GOT THE ANSWER
Answer: There are 38 dogs, i got this by guessing the number and plugging it in
Step-by-step explanation:
19 x 5 = 95
19 x 2 = 38
95 + 38 = 133
BRAINLIEST ANSWER ☘️
order the numbers from least to greatest
0.222
0.18
0.1
0.24
0.21
Answer:
0.1, 0.18, 0.21, 0.222, 0.24
Explanation:
look at the first number:
between 0.1 and 0.18, 0.1 is smaller therfore it is the least
next to that would be 0.18
next, 0.21, 0.222, and 0.24 all has the same first number so take a look at the second number:
0.21 would be the third number since the second number is 1, which is the smaller number out of 3
the 4th number would be 0.222 because 0.22 is less than 0.24
lastly, the greatest or largest number would 0.24
An amusement park sells 5 bottles of water for every
2 bottles of juice. In one hour, the amusement park
sells 20 bottles of water. How many bottles of juice
does the amusement park sell?
Answer:
8 bottles of juice
Answer:
8 bottles of juice
Step-by-step explanation:
if 5bottles of water = 2bottles of juices
20bottles of water =
20/5 = 4
4 * 2 = 8
Answer = 8bottles of juices