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
I will give you b if your answer is correct I only mark first answer so please help me
Answer:
b
Step-by-step explanation:
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]
Answer:
Absolute Maximum: (0.2 , 80.2)
Absolute Minimum: (4 , 8 )
Step-by-step explanation:
Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply
Answer:
I think its the first and the third one
Step-by-step explanation:
lemme know if this helps :)
Answer:
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
What is the answer to: 1 1/4 + (2×3) + 2 2/6+ (2 5/6 × 2) + 3?
Answer:
The answer is 19.75
Step-by-step explanation:
You multiply the one in the brackets first
In systems of equations, parallel Lines have how many solutions? (Graphing)
(Worth 10 points )
1
0
Infinite
Answer:
0 solutions
Step-by-step explanation:
parallel lines have no solutions because they never intersect.
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
WILL GIVE BRAINLIEST TO ANSWER
its x4 got it thanks give me brainliest
Complete the following problem.
A backpacker hiked 7/8 of a mile the first hour, 3/4 of a mile the second hour and
2/3 of a mile the third hour. How far did he go in three hours?
The backpacker hiked
_ miles in three hours.
.
NEED HELP LIKE NOW WORK IS DUE TOMORROW!!!!!!
Answer:
55/24 miles or 2 7/24 2.29... miles
Step-by-step explanation:
7/8 = 21/24
3/4 = 18/24
2/3 = 16/24
16+18+21=55
What is the total amount on an investment account of $450 at an
annual simple interest rate of 3% at the end of 48 months?
Find the area of the bigger triangle (will give brainlest)
Answer: a. 90
Step-by-step explanation: plz give me brainliest
Use the ALEKS calculator to write 47/21 as a decimal rounded to the nearest tenth.
Answer:
2.2
Step-by-step explanation:
47/21 = 2.238095
round to tenth = 2.2
Answer:
2.2 would be the answer. :)))
I need a quick help with this one. No file answer please.
Answer/Step-by-step explanation:
Volume of a sphere = ⁴/3πr³
1. r = ½ of 14.4 = 7.2 in.
Volume = ⁴/3 × π × 7.2³ = 1563.46 ≈ 1563.5 in.³
2. r = 6 yd
Volume = ⁴/3 × π × 6³ = 904.78 ≈ 904.8 yd³
3. r = 8 mm
Volume = ⁴/3 × π × 8³ = 2144.66 ≈ 2144.7 mm³
4. r = ½ of 13.5 = 6.75 cm
Volume = ⁴/3 × π × 6.75³ = 1288.25 ≈ 1288.3 cm³
5. r = 4.7 in.
Volume = ⁴/3 × π × 4.7³ = 434.89 ≈ 434.9 in.³ (nearest tenth)
Solve this before 6:00 and i will give brainliest
Answer:
4
Step-by-step explanation:
Use PEMDAS. Use a calulator to solve 3 and 1/3 times 1.9+19.5 divided by 4 and 1/2 and after you solve that solve 62/75- 0.16. Divided the first answer by the second. Now move to 3.5+4 and 2/3+ 2 and 2/15 then solve. Next solve 0.5 times ( 1 and 1/20+ 4.1) and with the answer you got from the equation above divided that by the answer just solved. Now divided the number on the left with the number on the right and you should get 4.
Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.
Answer:
[tex](x_1,y_1) = (1,5840)[/tex]
[tex](x_2,y_2) = (2,13090)[/tex]
[tex]y = 1812.5x + 4027.5[/tex]
[tex]y_0 = 4027.5[/tex] --- y intercept
Step-by-step explanation:
Given:
x = weeks; y = copies
The right parameters are:
After 1 week, 5840 copies were downloaded
After 5 weeks, 13090 copies were downloaded
So, the (x,y) forms are:
[tex](x_1,y_1) = (1,5840)[/tex]
[tex](x_2,y_2) = (5,13090)[/tex]
Next, we calculate the slope (m) using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]
[tex]m = \frac{7250}{4}[/tex]
[tex]m = 1812.5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1812.5(x - 1) + 5840[/tex]
[tex]y = 1812.5x - 1812.5 + 5840[/tex]
[tex]y = 1812.5x + 4027.5[/tex]
To calculate the y intercept, substitute 0 for x
[tex]y_0 = 1812.5*0 + 4027.5[/tex]
[tex]y_0 = 0 + 4027.5[/tex]
[tex]y_0 = 4027.5[/tex]
I need an answer now please quick and easy
Elena's math class had 25 students yesterday. she miscounted the class total and recorded it as 20 students. What is Elena's percent error ?
If l=3, w= 3, and h= 5, what is the volume of this box
Answer and Step-by-step explanation:
To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).
length = l = 3
width = w = 3
height = h = 5
Now, we multiply each together.
3 × 3 × 5
9 × 5
45
The volume of the box is 45.
#teamtrees #PAW (Plant And Water)
Answer:
the volume of the box would be 45
Step-by-step explanation:
Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?
Answer:
24
Step-by-step explanation:
72/3=24
HELP HELP HELP AND EXPLAIN ANSWERS PLEASE. I U PUT A LINK UR GONNA GET REPORTED
9514 1404 393
Answer:
2) (b) -7
3) (b) 14
Step-by-step explanation:
2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.
18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7
__
3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...
(number missed)/(number thrown) = 35%
missed = (thrown)×0.35 = 40×0.35 = 14
George is expected to miss 14 of the 40 pitches.
Which inequality is represented by this graph?
Answer:
number 1
Step-by-step explanation:
Nancy's mother has a large collection of shoes. The table shows how many pairs of shoes she
has in each style.
flats
9
sandals 6
pumps 10
If Nancy's mother chose a pair of shoes at random, what is the probability that the shoes
would be pumps?
Write your answer as a fraction or whole number.
P(pumps) =
Answer:
P(pumps) = 2/5
Step-by-step explanation:
(Pumps)/(Everything)
(10)/(9+6+10)
10/25
2/5
PLEASE HELP ! due in few minutes !
Answer:
A
Step-by-step explanation:
the x values are the same so there is no increase or decrease in slope. therefore the slope is 0
helppppppppppppppppppppppp
Answer:
E = N × C
for
E: earnings
N: number sold
C: cost
she will make:
50 × 1.25 = $62.5
If q||r, solve for x.
Answer:
x = 17
Step-by-step explanation:
They are alternate exterior angles, so they are congruent. This means that:
[tex]7x - 10 = 9x - 44\\34 = 2x\\x = 17[/tex]
The value of x, if the lines 7x - 10 and 9x - 44 are parallel, is 17.
What is a line?Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.
Given:
The equations of lines are 7x - 10 and 9x - 44,
As we know, the line parallel has the same slope,
The condition of parallel lines ca be written as,
[tex]L_1 / L_2 = 1[/tex]
Here, L₁ and L₂ are equations of lines,
7x - 10 / 9x - 44 = 1
9x - 44 = 7x - 10
9x - 7x = 44 - 10
x = 34 / 2
x = 17
To know more about the line:
https://brainly.com/question/2696693
#SPJ2
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
a decimal precise to two decimal places.
P=
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a
decimal precise to two decimal places.
P-
Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
Which conclusion does the diagram support?
Answer:
C. AB/BC=FE/ED
Step-by-step explanation:
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
[tex]21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225[/tex]
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
Can Somebody Help Me Please?
Answer:
28 (length' unit)²
Step-by-step explanation:
the area of all A rectangle is 4*8 =32The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4the area of this shape equal tothe area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation: