Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
(System word problems, 11 points asap pls)
Two numbers have a sum of 1,212 and a difference of 518.
What are the numbers?
347 and 865.
To solve this problem you set up two equations,
x+y=1212 and x-y=518.
You then get the second x by itself by adding y to both sides.
You then have x+y=1212 and x=y+518.
After this you substitute the x into the first equation and have y+518+y=1212.
Then simplify to 2y=694 and y=347
Now that y=347 you put it in the original equation. Solve and get that x=865
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Step-by-step explanation:
c = 2 × pi × r
c = 2 × pi × 2
c = 12.57 in.
mean absolute deviation for math. please help
first put them in sequential order so it would be
10, 10, 15, 15, 16, 18, 23
okay Then, divide the sequence into the 1st and 3rd quartiles. the median would be 15 becuase it is the middle.
1st - 10
3rd - 18
then you subtract
18 - 10 = 8
your answer is 8 this should help you with your other ones hope this helps you
Problem 4.1
A family sets out on a road trip to visit their cousins. They travel at a steady rate. The graph shows the remaining distance to their cousins' house for each hour of the trip.
How fast are they traveling?
I think the answer is 35 km per hour because they are travelling in steady rate and the graph chart is showing the times and all
The traveling speed of A family sets out on a road trip to visit their cousins is,
⇒ Speed = 100 km / h
Given that;
A family sets out on a road trip to visit their cousins.
And, They travel at a steady rate.
The graph shows the remaining distance to their cousins' house for each hour of the trip.
We know that;
⇒ Speed = Distance / Time
Let by graph;
Distance cover by family in 3 hours = 300 km
Hence, We get;
The traveling speed of A family sets out on a road trip to visit their cousins is,
⇒ Speed = Distance / Time
⇒ Speed = 300/ 3
⇒ Speed = 100 km / h
Thus, The traveling speed of A family sets out on a road trip to visit their cousins is,
⇒ Speed = 100 km / h
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The spinner below is divided equally into six sections. Norm is going to spin the arrow 78 times. Which of the four sets of experimental results is most likely to occur?
Answer:
I think it's C
Step-by-step explanation:
Considering each section is equal in area, each result should have around the same number of occurances
Hope this helps! :D
HELP PLEASE FIRST GET BRAINIEST
A triangular prism and two nets are shown:
A right triangular prism is shown with two nets. The triangular base of the prism has a height of 5 inches, a base of 12 inches, and a hypotenuse of 13 inches. The length of the prism is 11 inches. Net A has 3 rectangles having dimensions 5 by 11, 11 by 12, and 11 by 13, and two triangles having legs 5 inches and 12 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 11 by 13, and two triangles having legs 5 inches and 12 inches.
Which is the correct net of the prism and what is the surface area of the prism?
A. Net A with 390 square inches
B. Net A with 450 square inches
C. Net B with 424 square inches
D. Net B with 524 square inches
Answer:
A
Step-by-step explanation:
search the same question on this site.
If m∠2 = 80°, what is m∠4?
Answer:
80
Step-by-step explanation:
Answer:
80 because its a vertical angle
Step-by-step explanation:
what is the area of the the triangle?
Help me please it's urgent
Answer:
it is 62 units
Step-by-step explanation:
[tex]25 +24 + 10 + 3 = 62[/tex]
Which pair of angles are vertical angles?
Answer: i would say L and W
Step-by-step explanation:
Vertical angles are a pair of opposite angles formed by intersecting lines.
L and W are the same length apart so i would say L and W
Calculate the financial cost of a tobacco addiction. How much would it cost to buy two packs of cigarettes every week for one year? What else could you purchase with this amount of money?
Answer:
According to the National Cancer Institute, the average cost of a pack of cigarettes is $6.28, which means a pack-a-day habit sets you back $188 per month or $2,292 per year.
So we times that by two which would be $4,584 a year.
With this amount of money you could purchase a stocks, jewlery, car, or anything else that is under that amount.
Step-by-step explanation:
0 In 20-25, insert parentheses to make each statement true. 20. 30 - 4 X 2 + 5 = 2 21. 17 – 8 – 5 = 14 22. 10 = 2-3 + 1 = 3 23. 30 – 4 x 2 +5= 57 24. 17 – 8 – 5 = 4 25. 10 = 2-3 + 1 = 1
I need to know where to place the parentheses but my teacher didn't explain it well enough for me.
Answer:
This is pretty much trial and error,
Step-by-step explanation:
what you are doing is trying to make the question true. So if you're trying to make 30 - 4 x 2 + 5 =2 true, you need to try to put parentheses in the right place, because Wwhatever you see in parentheses you have to do first. For example, the answer to the first question is 30 - 4 x (2+5) =2. The reason is 2 + 5 = 7, and 7 × 4 = 28, and 30 - 28 is 2. To help with order of operations, remember the term Please Excuse My Dear Aunt Sally (P for parentheses, E for exponent (if you're here yet), M for multiplication, D for division, A for addition, and S for subtraction). Here are the other answers:
17 - (8 - 5) = 14
(30 - 4) × 2 + 5 = 57
17 - 8 - 5 = 4
if a=2 what is the value of a + 6 ?
Answer:
8
Step-by-step explanation:
a+6, a=2, 2+6=8
Answer:
8
Step-by-step explanation:
Which table represents only values described by the relationship between a and b?
a = b + 9.1
Answer:
if a=b+9.1 then if a was a 2 you would add 9.1 and 9.1 its 18.2
Step-by-step explanation:
Based on the table, how much more money would a person with an bachelor's degree earn than a person with a high school diploma over a 30 year career? A. 22.950 B. 80.100 C. 154.500 D 688.500
Answer:
D.688,500
Step-by-step explanation:
How I got this answer is multiplied both the high school diploma and the bachelors degree by 30 and then when I got the answer to those I subtracted the answers by each other.( 51,550x30=1546500 and 28600x30=858000)(1546500-858000=688,500)
how to convert 2 1/3 meters by 1 5/6 cerectly
Answer:
i got u
Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The area of the rectangle is
Convert 2 1/3 and 1 5/6 into improper fractions then multiply:
7 11 77 5
-- x -- = -- = 4 --
3 6 18 18
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡
Answer:
Answer Below!!!
#Carryonlearning
Zachary bought a baseball for $9.96, a bat for $10.05, and a glove for $19.75. About how much did he pay for the three items?
$50
$30
$20
$40
Answer:
$39.76
Step-by-step explanation:
9.96 + 10.05 + 19.75 = $ 39.76
Sally gave 1/3 of a chocolate bar to each of her 5 friends. How much chocolate did she give away? Select all the correct answers.
5/3
1/3
15
3
1 and 2/3
5
Answer:
5/3(non-simplified) 1 and 2/3 (simplified)
Step-by-step explanation:
all you have to do is add up all the thirds and you get an improper fraction. Simply simplify, and you get a mixed number.
How do you square a scale factor?
DONT COPY OFF GOOGLLE
you have to find the scale factor by its length
how to : scale factor = dimension of the new shape ÷ dimension of the original shape
but if it is scaled then do
scale factor = larger figure dimensions ÷ smaller figure dimensions
(Worth 20 points) Triangle RST is similar to RVW
What is the value of D in milliliters?
First to answer gets brainiest
12 mm is the correct answer
Answer:
the answer s B.12 mm
The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Explain why you think this pattern will continue to be this way.
Answer:
3,6,9,12
Step-by-step explanation:
In this patter each number is 3 numers more than the previos
Please select the word from the list that best fits the definition
the sum of a set of data divided by the number of items in the data set; also called average
a. histogram
b. line graph
c. central tendency
d. mean
e. bar graph
f. mode
g. line of best fit
h. median
only pick one please
Answer: the answer is D mean
Step-by-step explanation: because mean is when you add them all up and divide it by the number. hope it helps :)
Answer:
I would say the answer is D.Mean I say this because in order to find the mean you youl have to divide by the number of items. Plus the mean is the average of the data set
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
20. According to the line plot, what is the total distance run by the runners that each ran 1/6 of a mile and 1/2 of a mile?
Answer:
you didnt give me a line plot to go off of
Step-by-step explanation:
Given: PQ || Hl. Find the length of GH. . A 23 B 26 C 28 D 30 help pls it time
n
Answer:
B) 26
Step-by-step explanation:
Finding PH
Take the sides in proportionGP/PH = GQ/QI10/PH = 15/2410/PH = 5/8PH = 10/5 x 8PH = 16Finding GH
GP + PH10 + 1626If PQ || HI, then the value of GH obtained will be equal to 26. Hence, option B is correct.
What is ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is. A ratio divides two quantities in order to compare them.
As per the given figure in the question,
Firstly, we have to find the value of PH.
Take the sides in proportion from the given figure,
GP/PH = GQ/QI
= 10/PH = 15/24
⇒ 10/PH = 5/8
PH = 10/5 x 8
PH = 16
Now, the value of GH will be,
GP + PH
= 10 + 16
= 26
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do what it says on the image (NO SPAM LINKS!!)
Answer:
The answer is B.
Step-by-step explanation:
Hope this helps!
A triangle has one side 31 inches long and a second side 44 inches long. What are the least and greatest possible lengths of the third side of the triangle? Explain.
Answer:
x is greater than 13, but less than 75
Step-by-step explanation:
44-31 = 13
44+31 = 75
PLS, HELP IS DUE IN 3 HOURS!! 15 POINTS!!
A rectangular prism has a volume of 168 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.
What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
A) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 504 cm3.
B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 56 cm3.
C) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 336 cm3.
D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 84 cm3.
The answer is :
B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 56 cm3.
Find the area of the window shown below. Use 3.14 for pi. Round to the nearest tenth.
Answer:
A = 22.0 in²
Step-by-step explanation:
The area-of-a-circle formula is A = (pi)r², where r is the radius. The area of a semicircle is A = (1/2)(pi)r².
In this case (semicircular window), the area is
A = (1/2)(3.14)(14 in) = 21.98 in². To the nearest tenth, that's A = 22.0 in²
answer all 4 for brainliest
Answer:
1) 15.7
2) 106.8
3) 57.8
4) 36.1
Step-by-step explanation:
the area for a circle with a diameter is the diameter x 3.14 and for the area of a circle with a radius it's (r x 2) x 3.14. I think these are correct and sorry for being so late lol.