Answer:
Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3
Step-by-step explanation:
Explanation:
The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]
Find the volume of the solid.
3 cm
2 cm
6 cm
4 cm
4 cm
2 cm
7 cm
Answer:
8064cm.
Step-by-step explanation:
When trying to find volume,All you have to do is multiply all the numbers.
Answer:
3 x 2=6 x 6 = 36 x 4 = 144 x 4 = 576 x 2 = 1152 x 7 = 8064
Step-by-step explanation:
how many cattle are there on the lazy circle double o bar four square ranch
The expression shown in the cattle on the lazy circle will be 22m + 42 and 17m + 3.
How to calculate the expression?
From the complete information, the first expression is given as:
= 7(2m + 6) + 8m
= 14m + 42 + 8m
= 22m + 42
The second expression is given as:
= 3(1 + 4m) + 5m
= 3 + 12m + 5m
= 17m + 3
Learn more about circle on:
https://brainly.com/question/24375372
#SPJ1
PLEASE ANSWER A AND B, GIVING BRAINLIEST!
Answer:
a) V = (8 -4/3π)r³
b) 2048(2 -π/3) cm³ ≈ 1951.34 cm³
Step-by-step explanation:
When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.
__
a. (formula)The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...
V = s³ = (2r)³ = 8r³
The volume of the sphere is given by the formula ...
V = 4/3πr³
The volume of the empty space is the difference of these:
V = (8r³) -(4/3πr³)
V = (8 -4/3π)r³ . . . . . . . formula for the empty volume
__
b. (empty space)For r=8 cm, the empty volume is ...
V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)
V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume
What is the metric system based on
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
17157.28
Step-by-step explanation:
If we know that the volume of a sphere is equal to V=4/3πr3, then we can assume this.
The radius of the sphere is 16, so 16 cubed is 4096. 4096 x pi is 12867.96
12867.96 x 4/3 is 17157.28
Find the value of x to the nearest tenth.
6.0
8.3
5.8
6.2
Answer:
value of x is y to the nearest tenth. is 6.0 is equal to 8.3 to 5.8. 6.2
Find the circumference.
Answer:
Step-by-step explanation:
Remark
The circumference of a circle is given by
C = 2*pi*r
C is the circumference
r is the radius.
Givens
r = 11.8
pi = 3.14
Solution and answer
C = 2 * 3.14 * 11.8
C = 74.10
answer C = 74.10
Note:If you are called upon to round to the nearest hundredth, then 74.1 is not the answer. You must add the zero to show that it occupies the hundredths place.
In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 1.
Answer: probably 4 cards each person
Step-by-step explanation:
A farmer has both sheep and chickens on his farm. All the animals have the expected number of parts. When his animals are all
together, there are 90 legs and 32 heads. How many of each animal does he have?
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as [tex]x[/tex] and the number of chickens there are as [tex]y[/tex].
Because each sheep has 4 legs, the number of legs for each sheep would be [tex]4x[/tex]. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be [tex]2y[/tex]. Each animal would have 1 head, so the number of heads would just be [tex]x[/tex] and [tex]y[/tex]. Because the number of legs in total are 90, [tex]4x + 2y=90[/tex]. Because the number of heads in total are 32, [tex]x+y=32.[/tex]
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation, [tex]2x+2y=64[/tex]. Then, I would subtract that from the first equation, eliminating [tex]y[/tex]. [tex]2x=26[/tex]. Solving for x gives 13. We can then plug that value into the second equation, making y be [tex]32-13=19[/tex]. This means that [tex]x=13[/tex] and [tex]y=19[/tex], meaning that there are 13 sheep and 19 chicken.
Use the scenario and elimination by multiplication to answer the question.
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla? Let the cost of a quesadilla be x and the cost of the taco be y.
A. The quesadillas cost $3.11 each, and the tacos cost $1.69 each.
B. The quesadillas cost $1.57 each, and the tacos cost $3.45 each.
C. The quesadillas cost $3.39 each, and the tacos cost $1.69 each.
D. The quesadillas cost $3.39 each, and the tacos cost $1.57 each.
Lines C and D are represented by the equations given below:
Line C: y = x + 8
Line D: y = 3x + 2
Which of these shows the solution to the system of equations and explains why?
(3. 11), because the point does not lie on any axis
(3, 11), because both lines pass through this point
(4, 14), because one of the lines passes through this point
(4.14), because the point lies between the two axes
Answer:
(3, 11), because both lines pass through this point
Step-by-step explanation:
x = y - 8
y = 3(y -8) + 2
y = 3y - 24 + 2
y - 3y = -22
-2y = -22
y = 11
11 = x + 8
x = 11 - 8
x = 3
Answer :- (3,11)
Identify the geometric mean of 8 and 20 in simplest radical form.
Answer:
8/x = x/20
x^2=160
x=sqrt(160)
x=sqrt(16*10)
x=sqrt(16)*sqrt(10)
x=4*sqrt(10)
Step-by-step explanation:
The geometric mean of 8 and 20 in the simplest radical form is 2√10.
What is geometric mean?The Geometric Mean is a unique kind of average in which the numbers are multiplied together and then their square, cube, or other root is taken (for two numbers, three numbers, etc.).
To calculate the geometric mean of two numbers:
You would multiply the numbers together and take the square root of the result.
First, multiply 8 and 20.
That equals 160.
Then you take the square root of 160;
√160
= 12.65,
which doesn't result in a whole number.
So you factor 160 and removing perfect squares.
√160
= √ (4 x 10)
= 2√(10)
Therefore, the geometric mean is 2√10.
To learn more about the geometric mean;
https://brainly.com/question/29199001
#SPJ2
which shapes have 2 pairs of parella sides
Answer:
Parallelogram
Step-by-step explanation:
Answer:parallelogram
Step-by-step explanation:
What transformations of the parent function f(x) = lxl should be made to graph, f(x) = -lxl +5
Reflection over the x-axis, shift down 5 units.
Reflection over the x-axis, shift up 5 units.
Reflection over the y-axis, shift down 5 units.
Reflection over the y-axis, shift up 5 units.
Answer:
Reflection over the x-axis, shift up 5 units
Step-by-step explanation:
Given Parent Function:
f(x) = |x|Transformed function:
f(x) = - |x| + 5In transformed function:
f(x) = -|x|, Represent that parents function is first reflected over the x - axis.then in transformed function,
f(x) = -|x| + 5represent that after reflection function is shifted 5 unit in upward direction.
Answer:
Reflection over the x-axis, shirt up 5 units
Step-by-step explanation:
It's a reflection because the x axis is a negative, and +5 moves up 5 units on the y axis
Which function has an inverse that is also a function?
O {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
O ((-4, 6), (-2, 2), (-1, 6), (4, 2), (11, 2))
O {(-4, 5), (-2, 9), (-1, 8), (4, 8), (11, 4)}
O ((-4,4), (-2, -1), (-1, 0), (4, 1), (11, 1)
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, well, in this case, all of them have no X-repeats, that means all of them are functions. However, only one-to-one functions have an inverse that is also a function.
A one-to-one function is one that has no X-repeats as well as no Y-repeats, so each pair in the set has no coordinate repeats, Check the picture below.
For an ordered pairs to represent has an inverse a that is function, It shouldn't show one-to-many relation in the pairs. The answer is {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)} represents a function.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
The set of all potential values that the function would be return when the domain is provided as input is the definition of range.
The one-to-one function has inverse where the inverse is the function.
That is, should be unique output for each input values.
{(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)} in this option, There are no one-to-many relations. So, It is a function.
To learn more about functions visit:
brainly.com/question/29633660
#SPJ7
2 in 4x = 2 in 8 What is the true solution to
Answer:
2In4x= 2In8 ln(16x^2) = ln64 Multiply e by both sides.
Step-by-step explanation:
*100 points* pls help on this edulastic, brainly community. Answer the questions in the pic.
Answer:
4. 48, 24, 12
21. A, B, B, C
Step-by-step explanation:
There are two different questions here. One where you get to make up an exponential function and write a table of values. The other is a statistics problem in which you compare 5-number summaries.
__
Exponential FunctionFor the function f(x) = a·b^x, the value of f(0) is 'a'. The given table shows a=96. The only requirement for choosing 'b' is that it not be 1. We can choose b=1/2, and our table will be ...
y = 96·(1/2)^x
[tex]\begin{array}{c|cccc}x&0&1&2&3\\y&96&\boxed{48}&\boxed{24}&\boxed{12}\end{array}[/tex]
For each increase of x by 1 unit, the value of y is cut in half.
__
StatisticsThe attachment shows you how to find the answers to the questions.
The median is the bar in the middle of the box. The values for the different teams are ...
A: 78B: 86C: 82Team A has the lowest median; Team B has the highest median.
The interquartile range (IQR) is the length of the box. For the different teams, the values are ...
A: 88-74 = 14B: 90-78 = 12C: 86-70 = 16Team B has the smallest IQR; Team C has the largest.
1/10 (as a fraction) of the animal pictures on Amelia’s smartphone are of cats. Write and solve an equation to find what fraction of all her pictures have cats in them.
1/10 that mean that there are 10 animal pics and 1 cat pic. your equation could be 10-9=1 showing only one 1 cat image.
In a deck of playing cards, what is the
probability of drawing a red card, replacing it, and
then drawing a queen?
Step-by-step explanation:
As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.
There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13
There are 26 red cards. So, probability of drawing a red card= 26/52=12
Required probability= 1/13×1/2=1/26
Answer:
1/26
Step-by-step explanation:
For probability, the numerator is the number of options for the specified property (red card/drawing a queen) and the denominator is the total number of options (in this case 52).
There are 26 red cards in a deck, the the probability of choosing a red card is [tex]\frac{26}{52}[/tex] or [tex]\frac{1}{2}[/tex].
There are 4 queens in a deck, so the probability of choosing a queen is [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex].
To find the probability of getting these both, multiply the results, giving [tex]\frac{1}{26}[/tex].
Draw and write to solve. Explain
your reasoning.
1. Jean has 10 fish. She gets
4 more fish. How many fish
does she have now?
Answer:
14
Step-by-step explanation:
she has 10
she gets 4 more
10+4=14
3500 people attend a show. The
next time the show is on the amount
of people has increased by 142%. Find
out how many people are at the
second show.
Answer:
8470 people are at the second show
A furniture store book shelf was priced at
$
345.00
The store was having a
60
%
off sale store wide. What is the sale price of the book shelf?
Answer:
$138.00
Step-by-step explanation:
The original price of the shelf is $345.00. The new sale price is the original price of 100% less the 60% of the original price. That means the sales price is 40% of the original price.
You can do this 2 ways:
1. $345 x 60% or .60 = $207
$345-207 = $138
or
2. $345 x 40% or .40 = $138
Answer:$138
Step-by-step explanation:
Since the store is on sale 60% out of a whole 100%
= 100% - 60% = 40%
40% is [tex]\frac{40}{100}[/tex] = 0.4
0.4 x 345 = $138
Write an equation of the line that passes through (2, -5) and has a slope of 4
Step-by-step explanation:
(y-(-5))/(x-2) = 4
(y+5)/(x-2) = 4
y+5 = 4x - 8
y = 4x - 13
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
Answer:
7) graphing, because they are in the y=mx+b format.
8) substitution, because it tells you what y equals.
9) substitution, because it tells you what y equals.
10) elimination, because you can subtract the x's to equal 0.
11) graphing, because they are in the y=mx+b format.
12) substitution, because it tells you what y equals.
Step-by-step explanation:
The outstanding balance of a credit card bill is $250. According to the credit card company's policy, an interest fee of 2% on the card balance will be applied each month the bill is not paid.
Assuming that the bill is not paid, what will the outstanding balance be after 6 months?
A) After 6 months, the outstanding balance on the credit card will be approximately $276.02. B) After 6 months, the outstanding balance on the credit card will be approximately $622.08. C) After 6 months, the outstanding balance on the credit card will be approximately $281.54. D)After 6 months, the outstanding balance on the credit card will be approximately $255.10.
Answer:
The closest answer is C) After 6 months, the outstanding balance on the credit card will be approximately $281.54.
Step-by-step explanation:
First we figure out the amount of interest.
0.02 x 250 = 5
5 x 6 = 30
30 + 250 = 280
Which number is rational?
Answer:
[tex]\sqrt{16}[/tex]
Step-by-step explanation:
16 has a perfect square, 4.
Answer:
the square root of 16
Step-by-step explanation:
16 is a perfect square so
the square root of 16 is 4
4*4 = 16
(08.06)The dot plot shows how many swimmers are in each line at a waterpark:
Dot plot titled Swimmers in Line and labeled Number of Swimmers shows a number line from 1 to 10. There is 1 dot over 1, no dots over 2, 3, 4, 5 and 6, 2 dots over 7, 4 dots over 8, 6 dots over 9, and 5 dots over 10.
Answer:
The answer is
A. Median, because the data are skewed and there is an outlier
Step-by-step explanation:
Answer:
The answer is median, because the data is skewed and there is an outlier.
Step-by-step explanation:
simplify 4 times the square root of 6 divided by the square root of 30 by rationalizing the denominator. show your work.
Answer:
4*[tex]\sqrt{5}[/tex]/5
Step-by-step explanation:
(4*[tex]\sqrt{6}[/tex])/[tex]\sqrt{30}[/tex]
This is my interpretation, although the question could also be interpreted as 4 * ([tex]\sqrt{6}/\sqrt{30}[/tex])
Multiply the nominator and denominator by sqrt 30
4* sqrt 6 * sqrt 30/ 30
4 * sqrt 6 * sqrt 6 * sqrt 5/30
24*sqrt 5 / 30
4*sqrt5/5
25-42 Differentiate the function.
25. [tex]f(x)=x^{5}+5^{x}[/tex]
Answer:
y'= 5x^4 + 5^x In(5)
Step-by-step explanation:
Differentiate with Respect to x
f(x)'=5x^4 + In(5^x)
f(x)'= 5x^4 + x In(5)
with respect to x, we have
y'= 5x^4 + y In(5)
y'= 5x^4 + 5^x In(5)
A cubical dice is thrown two times, find the probability that the outcomes is 5 in first throw and odd number in second throw.
All the numbers present in cubical dice = 6
( 1 , 2 , 3 , 4 , 5 ,6 ) Total Outcomes = 6Probability = Favorable outcomes / Total number of outcomes
Probability that 5 will come in first throw :-Favorable Outcomes = 1
Favorable Outcomes = 1 Probability = 1/6
Probability that an odd number will come in second throw :-Favorable Outcomes = 3
Probability = 3/6 ; 1/2