Answer:
In vertex form: y = 1(x - (-3))² + 7
Vertex: Minimum (-3, 7)
Explanation:
Vertex form: y = a(x - h)² + k
Completing square (rules) :
1st rule: (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
2nd rule: x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Given equation:
y = x² + 6x + 16
y = x² + 2(3)x + 3² + 7
y = (x + 3)² + 7
Into vertex form:
y = 1(x - (-3))² + 7
From this identify:
a = 1, h = -3, k = 7
Solution, vertex of this equation: Minimum (-3, 7)
Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2
Answer:
f(x)=1/16(x-2)^2+2
Step-by-step explanation:
The Equation can be written like this:
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...
f(x) = 1/16(x -2)^2 +2
please help 8 points each but beware if you use my points for no reason I'll report you
Answer:
V = 32
Step-by-step explanation:
Comment
I think you should try this one yourself after I post my answer. Estimation is a very valuable tool -- the more you use it, the handier it gets.
Formulas
pi = 3
V = 4/3 * pi * r^3
Givens
r = 2
pi = 3
Solution
V = 4/3 * pi * r^3 Substitute values for symbols
V = 4/3 * 3 * 2^3 Cancel the 3s
V = 4 * 2^3 Expand the 2s
V = 4 * 2 * 2 * 2 Find V
V = 32
In this question we are provided with the radius of a sphere. We are asked to calculate the volume of the sphere.
[tex] \large \: \star\small\boxed{ \rm{ Volume_{(sphere)} = \dfrac{4}{3} × π × r³}}[/tex]
Where,
r stand for radius.Assuming π as 3.[tex] \small\sf{ Volume_{(sphere)} = \dfrac{4}{3} × 3 × 2³}[/tex]
[tex] \rightarrow \small\sf{ Volume_{(sphere)} = \dfrac{4}{ \cancel{3}} × \cancel {3} × 8} [/tex]
[tex] \rightarrow \small\sf{ Volume_{(sphere)} = 4 \times 8 = 32}[/tex]
[tex] \bull \: \small \underline{ \boxed{\sf{ Volume_{(sphere)} = 32 {cm}^{3} }}}[/tex]
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it.
Which value could replace x in the table?
__________________________________________________________________
7 – m
23 – m
8(15 – m)
8(15) – m
1
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
-4.8×3.2
2+(-1)
V
4.32
-3
-2-(-1)
<
Answer: -15.36, -1.44, 0.85, 4
Step-by-step explanation:
Step 1: Evaluate (solve) all of the expressions (equations)#1: -4.8x3.2= -15.36
#2: 2 1/4+ -1 2/5
2 1/4= 2.25
-1 2/5= -1.4
2.25+-1.4
*Whenever you have a +- something, it always becomes -
2.25 - 1.4= 0.85
#3: 4.32÷-3= -1.44
#4: -2 3/5 - -12/5
2 3/5= 2.6
-1 2/5= -1.4
2.6 - -1.4
*Whenever you have 2 minuses like - -, it always becomes a +.
So 2.6 - -1.4 becomes 2.6+1.4
2.6+1.4= 4
Step 2: List from least to greatest.Okay so the numbers we have are:
-15.36, 0.85, -1.44, 4
The least number is the one farthest away from 0. This number would be -15.36, because, here's a rule to remember:
The "bigger" the negative number looks, the smaller it actualy is beacuse it is farther away from 0. For example, -29 is smaller than -1 even though it looks bigger because -29 is farther from 0. If it were positive numbers, 29 would definitely be greater though.So -15.36 is the smallest or the least.
Next, you see that -1.44 is the next in line because its the only remaining negative number and it has to be smaller than the others, which are positive.
3rd of all, i know that 0.85 comes next on the list because it is smaller than 4. It is still above 0, making it positive.
Finally, 4 is the greatest. It's bigger than 0.85, which obviously is less than 1. Now here's the list of numbers from least--> greatest:
-15.36, -1.44, 0.85, 4
Now all you have to do is put these numbers into the boxes in order. If it doesn't make sense, try putting the first 2 numbers into the first 2 boxes. By doing this you get -15.36<-1.44, which is a true statment. If you want to go further, put 0.85 in the 3rd bubble to get -1.44<0.85 which is also true. Finally, when you put 4 in the last bubble, you get 0.85<4, which is true. That's how i know my answer is correct.
Hope this helps :))
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
Ana
Hillary
Roger
Juan
Answer: Juan
Step-by-step explanation:
Step 1: Find how many pages each person read.
ANA
15% of her 46 page book
Whenever you have something% OF something, you just turn the 'of' into a multiplication sign.
15% x 46
Next, turn 15% into a decimal. There are 3 ways to do this. (1. put a decimal point right before the number (2. move it 2 places to the right, (3. just divide by 100. Either way, 15% becomes 0.15
0.15x46= 6.9
Ana can read 6.9 pages in a day.
HILARY
11% of a 72 page book
Same method I used for Ana. turn "of" into multiplication, convert the percentage to a fraction by moving the point 2 places left, and multiply.
**11 is the same as 11.0, which becomes 0.11.**
11% x 72
0.11x72= 7.92
Hilary can read 7.92 pages in a day.
ROGER
12% of 68 pages
of becomes multiply
12% becomes 0.12 because 12 is the same as 12.0, and you move 12 2 places to the left.
now we have 0.12x68= 8.16
JUAN
14% of 69 pages
of becomes multiply, 14 is the same as 14.0, move it 2 places to the left and it becomes 0.14. boom.
0.14x69= 9.66
Juan can read 9.66 pages in a day.
Step 2: Line up all of the numbers and find the biggest one.
Ana: 6.9 pages per day
Hilary: 7.92 pages per day
Roger: 8.16 pages per day
Juan: 9.66 pages per day
9.66 is the greatest number.
Juan can read the most pages per day
Hope this helps :)
PLEASE HELP!!!!!
The cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?
Need help with this, explaining how to do it would be very much appreciated. Thanks :)
Answer:
Solution: There is exactly one solution, the lines intercept at one point, they are not the same line, so they do not have infinite solutions, and if they were to not intercept, they would have no solution.
Step-by-step explanation:
Set the equations equal
-2x-4=3x+3
+4 +4
-2x=3x+7
-3x -3x
-5x=7
/-5
x=-7/5
Plug x back into one of the equations
y=-2(-7/5)-4
y=-6/5
Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example
Answer: Vertex : Maximum (2, 0)
Rules:
(x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
How to Calculate Amortization? 2 page is just info need help on 1 page
20?
Step-by-step explanation:
edg.e
HELP FAST!
Which of the following volume measurements is the best estimate for the
figure above? Round each measurement to the nearest whole number to get
your estimate
A. 324 in3
B. 216 in3
C. 360 in3
D. 300 in3
Answer:
c. 360 in^3
Step-by-step explanation:
1st you will want to round the decimals to the nearst whole number
2.7 is 3
and
9.8 is 10
2nd now that you rounded the decimal lengths you can multiply
12x3x10=360in^3
Which equations have a greater unit rate than the rate represented in the table? x y 3 2 6 4 9 6
Answer:
Any equation with a slope greater than ²/₃
Step-by-step explanation:
Given table:
[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} 3 & 2 \\\cline{1-2} 6 & 4 \\\cline{1-2} 9 & 6 \\\cline{1-2} \end{array}[/tex]
The unit rate is a ratio that compares the first quantity to one unit of the second quantity. The unit rate is also the slope of a linear equation.
Linear equation
[tex]y = mx + b[/tex]
where:
m is the slopeb is the y-interceptTo find the slope, take two ordered pairs from the table:
[tex]\sf let \: (x_1,y_1)=(3,2)[/tex]
[tex]\sf let \: (x_2,y_2)=(6,4)[/tex]
Substitute them into the slope equation:
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-2}{6-3}=\dfrac{2}{3}[/tex]
Therefore, the unit rate is ²/₃.
Any equation with a slope greater than ²/₃ is an equation with a greater unit rate than that represented in the given table.
Slope of table
(3,2)(6,4)Slope
m=4-2/6-3m=2/3Any equation having slope greater than 2/3 has higher unit rate than that of table
8th grade word problem!! 100 POINTS+BRAINLIEST: just write out the steps and explain in simple language :)) Answers for the sake of points will be reported
(i) Equation : y = 6.25x + 65
(ii) Price of each ticket : $6.25
(iii) Money originally in the box : $65
Explanation:
Here from table, identify the coordinates given.
Coordinates:
(7, 108.75)(13, 146.25)(18, 177.50)Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\rightarrow \sf slope \ (m) : \dfrac{146.25-108.75}{13-7} = 6.25[/tex]
Slope is also the price of each ticket which is $6.25
Equation:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\rightarrow \sf y - 108.75 = 6.25(x - 7)[/tex]
[tex]\rightarrow \sf y - 108.75 = 6.25x - 43.75[/tex]
[tex]\rightarrow \sf y = 6.25x - 43.75 + 108.75[/tex]
[tex]\rightarrow \sf y = 6.25x +65[/tex]
To find the amount of money in the box originally, insert x which represents number of tickets sold as 0.
Originally amount of money:
[tex]\rightarrow \sf y = 6.25(0) +65[/tex]
[tex]\rightarrow \sf y = 65[/tex]
Hence, there were $65 in the box before any tickets were sold.
HELP I WILL GIVE BRAINLIEST
Answer: There are 24 frames of animation in 1 second of anime.
Step-by-step explanation:
There are 60 seconds in 1 minute, and 60 minutes in 1 hour. 60×60=3600, so there are 3600 seconds in 1 hour.
Since 3600 seconds and 1 hour is the same, there are 86400 frames of animation in 3600 seconds of anime. To find out how many frames are in one second of anime, divide 86400 by 3600.
86400 ÷ 3600 = 24
There are 24 frames of animation in 1 second of anime.
Find the surface area of the regular hexagonal prism.
Answer:
2ah + 3√3a, 2,
use this formula^
You'll get the answer
133.3
Answer:
25.5
Step-by-step explanation:
i passed
please help!!!!!!!!!!!!!!!!!!!!!!
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
*HELP* NEED IT TODAY RIGHT NOW*
order the following numbers from least to greatest.
Answer:
cube root 64, 4.2, sqrt 19
Step-by-step explanation:
cube root of 64 = 4
sqrt 19 = 4.3
4.2v - 5 - 6.5v
simplify the expression
5, minus, start fraction, t, divided by, 3, end fraction when t=12
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow Final \:\:Value = 1\: [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The statement can be represented as :
[tex]\qquad \tt \rightarrow \: 5 - \dfrac{t}{3} [/tex]
[ for t = 12 ]
[tex]\qquad \tt \rightarrow \: 5 - \dfrac{12}{3} [/tex]
[tex]\qquad \tt \rightarrow \: 5 - 4[/tex]
[tex]\qquad \tt \rightarrow \: 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
CORRecT ANSWERS ONLY. What is the value of x?
Answer:
x =5.25
Step-by-step explanation:
Comment
So you want to find x? If the scale factor is 1.75 it means that you multiply whatever dimension on Figure A by 1.75 to get the corresponding dimension on B.
Formula
x = 1.75 * 3
Solution
x = 1.75 * 3
x = 5.25
graph y=4x-9
(just give me the coordinates)
Answer:
use desmos
Step-by-step explanation:
just type it in for easiest answer
Please help 5 points each but beware if you use my points for no reason I'll report you
Answer:
v=⅓×6×9=18cm² hope it helps
Answer:
The answer is 18
Step-by-step explanation:
If the volume of a pyramid is 1/3 of the value base times height, and we have the measurements of the base and the height, then we fill in the equation like this:
1/3 [6 x 9] = volume
1/3 [54] = volume
18 = volume
The volume is 18
Please help! I'm like 3 months behind and am trying to crunch in some school, please be fast!!!!
Answer:
the second option from the top is correct. (the one with the dot on -4)
Step-by-step explanation:
d/-2 + 5 = 7
d/-2 = 7 - 5
d/-2 = 2
d = 2 * -2
d = -4
Answer:
Option 2, d = -4
Step-by-step explanation:
d/-2 + 5 = 7 (subtract 5 from both sides)
d/-2 = 2 (multiply by -2 to both sides)
d = -4
Option 2 is correct.
Brainliest, please :)
how do i find the LCD? ( Lowest Common Denominator )
Answer:
First for example let's say
3 and 15your going to doing what you do normally for gcf but then make an l and times it if that makes sense
Step-by-step explanation:
A box measures 1/4 ft. long, 1/6 ft. wide, and 1/3 ft. high. Find the volume of the
box in inches. Do not include units in your answer.
Pls answer the question 15 points
Answer:
V≈256
Step-by-step explanation:
Given the radius = 4 cm, you can use the formula and come up with the following,
[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈
Answer:
V=256 cm^3
Step-by-step explanation:
Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals, which is represented by the expression 15 + 0.75h .
Complete the statement to describe the terms...
Answer: see below
Step-by-step explanation:
h represents the number of houses. How i know this:
(1) the question states that each house costs $0.75. So 0.75h means 0.75 times a number of houses.
(2) h is used because houses starts with h. Also, h can't represent bikes because the "bikes" only appears in 1 number and doesn't have anything per bike. It only appears once.
15 represents the initial price of bike rentals.
- It says in the question, "Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals". All of the information related to what 15 stands for is underlined. "Initial price" means a 1 time price that doesn't repeat. the 0.75 repeats based on how many houses you get.
0.75h represents the total cost for any number of houses.
(1) The question says "$0.75 per house" which means that each house costs 0.75. The h next to the 0.75 only means a number of houses. Whenever you see "something per something", expect the first letter of the 2nd word to be placed after the number.
If it doesn't make sense, let's say that h=1. In other words, we are buying 1 house. 0.75h means 0.75xh, so 0.75x1= 0.75. It's true. 1 house costs 0.75. You can also do 0.75x2, 0.75x3, and so on.
I hope i could help :)))
Answer:
Step-by-step explanation:
h= number of houses
0.75= cost per house
15= the initial price (price first paid)
What is the perimeter of a square with a side length of 46 mm?
A. 50 mm B. 100 mm C. 184 mm D. 230 mm
Answer:
C: 184 mm
Step-by-step explanation:
46*4 = 184
PLS ANSWER ASAP- THIS IS A 7th GRADE QUESTION AND IF UR ANSWER IS THE FIRST AND CORRECT, I WILL MARK BRAINLIEST
Answer:
x = 6
Explanation:
scale factor × original dimension = dilated dimension
inserting values:
0.25 × x = 1.5
0.25x = 1.5
x = 1.5/0.25
x = 6
how much is 10 cents +6 dimes + 5 cents equal?
is it equal to a dollar?
Answer:
75 ¢
Step-by-step explanation:
10 cents +6 dimes + 5 cents equals 75 cents or 3/4 of a dollar
