Answer:
16
Step-by-step explanation:
BODMAS
Brackets first, 2+2 = 4
8÷2 = 4
4 x 4 = 16
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation
that represents the relationship between the total cost and number of people attending.
Answer:
95 + (15 x n) n = number of people attending
Step-by-step explanation:
the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$
Which of the following is a true statement?
a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Saving by either option A or option B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.
The true statement is c. Saving by either option A or option B will allow them to meet their goal.
What is a true statement?A true statement can be described as the statement that that the message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.
In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.
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COMPLETE QUESTION:
Option A: Stay with saving the original amount each week but take the class a week later than originally planned.
Option B: Increase the amount of money he saves each week by $15 from his original plan.
What are the possible values of x for the following functions? F(x)= x-3 / 2x+6
Answer:
(in English)
x can be anything EXCEPT -3
(in Math)
Interval Notation:
(negativeinfinitysymbol,-3)U(-3,infinitysymbol)
Set Builder Notation:
{x | x < -3 or x > -3}
Step-by-step explanation:
Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.
So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.
2x + 6 = 0
Subtract 6.
2x = -6
Divide by 2.
x = -3
Remember this is what x canNOT be.
This question is a domain question. What is x allowed to be? x may be anything except -3.
You have two strands of decorative lights. Strand A changes color every 8 seconds and Strand B changes color every 12 seconds. Both strands just changed color. After how many seconds will the strands change color at the same time again?
Answer:
24 seconds
Step-by-step explanation:
Strand A: 3 × 8 secons =24 seconds
Strand B: 2 × 12 seconds= 24 seconds
The highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level. How much higher is the highest point then the lowest point?
The highest point is ____ ft. higher than the lowest point
( the answer is not 13,783 )
The highest point is 14799 ft. higher than the lowest point.
How to calculate the value?From the information, the highest point in a country has an elevation of 14,291 feet. The lowest point in a country is at 508 fest below sea level.
The difference between the points will be:
= 14291 - (-508)
= 14291 + 508
= 14799 feet
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Use this information to find the value of b
c = 25
s = 9
b = 4c - s2
Answer:
Step-by-step explanation:
b=4c-s2
4(25)-9(2)
100-18=82
b=82
Solve for X
-7 -2x + 7 = -7
Answer:
UR MOM the reason why im saying this cuz i want to be deleted off of brainly
Step-by-step explanation:
A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?
Answer:
1/12
Step-by-step explanation:
All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.
Find the solution to the system of equations. Round to the nearest tenth if necessary.
f(x) = 3x+6
g(x) = x² + 4x + 1
Answer:
The solutions are
(-2.8, -2.4) and
(1.8, 11.4)
- to the nearest tenth.
Step-by-step explanation:
x² + 4x + 1 = 3x+6
x² + 4x - 3x + 1 - 6 = 0
x² + x - 5 = 0
Using the quadratic formula:
x = [-1 +/- √((1)² - 4*1*(-5)] / 2
= (-1 - 4.583) / 2 , (-1 + 4.583) / 2
= -2.791, 1.792.
Substituting for x in the equation:
y = -2.374, 11.374.
QUESTION 6
Given: f(x) = 2x² + 4x + 5,
f(a) = ?
None of the above
f(a)=2a² +4a+5
f(a) = 2a + 9
f(a) = 6a + 5
QUESTION 7
Given the same function as in #6, find f(a+h)
2a²+2h²+4a+5
None of the above
2a²+2h²+4a+4h+5
2a²+4ah+2h²+4a+4h+5
Question 6
Step-by-step explanation:
the answer is f(a)=2a²+ 4a+5
Question 7
2a²+4ah+2h²+4a+4h+5
Which is the same length as 4 kilometers
Answer:4000 meters
Step-by-step explanation: 1 kilometer =1,000 meters
Blake is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C C represent the total cost of renting the truck when the truck is driven m m miles. A graph of C C is shown below.
The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
Given the graph,
Let's say the equation which is representing the situation is
C = (Slope)m + d
Where d is y-intercept = 40
Slope = difference in y's coordinate / difference in x's coordinate
Slope = (70 - 55)/(10 - 5)
Slope = 15/5 = 3
So the equation would be ;
C = 3m + 40
Hence "The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles".
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Given question is the incomplete complete question in form of the image has been attached below;
1 + 1 = 2
this is the answer to 1 plus 1
IT'S NOT 3???????????????
Answer:no it 11
Step-by-step explanation:
1+1 = 11
I’m kidding btw
An experiment was conducted in which two fair dice were thrown 100 times. The sum of the pips showing on the dice was
then recorded. The frequency histogram to the right gives the results. Use the histogram to complete parts (a) through (f).
a. What was the most frequent outcome of the experiment?
b. What was the least frequent?
c. How many times did we observe a 5?
d. How many more 8's were observed than 11's?
e. Determine the percentage of time a 5 was observed.
f. Describe the shape of the distribution.
The answers to the questions are:
The most frequent outcome of the distribution that we have here is 7.The least frequent outcome is 12The number of times that we observed a 5 is 10 timesThe 8ths that were observed than 11 is 16 - 4 = 12 timesA 5 was attempted at 10 percent of the timeThe shape of the distribution is the bell shaped distribution.What is a frequency histogram?This is the term that is used to refer to the graphical representation of a frequency distribution. It helps to show us the frequency that the details in the class would have to fall under.
For example, the most frequent outcome can be seen as the one that has the highest point on the graph. We can see the highest point as 7 and its frequency is 20.
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Answer:
A. 7
B. 12
C. 15
D. 16
E. 15%
F. Bell-shaped
art sculpture composed of 3,880 craft sticks and 960 pieces of balsa wood. What is the ratio of craft sticks to balsa wood?
Answer:
3880 ÷ 960 = 4.041
ratio = 4:1
The 1st, 2nd and 3rd terms of a geometric progression are the 1st, 9th and 21st terms of an arithmetic progression respectively. Given that the 1st term of both progressions is 8 and the common ratio of the geometric progression, r not equation of 1 .Find .
a.The value of r
b.the 4th term of each progression
a. The value of r = 3, -1/2.
b. The 4th term of each progression;
for r = 3; AP = 14, GP = 216.for r = -1/2; AP = 7/2, GP = 1/2.What is defined by AP and GP?An Arithmetic Progression (AP) is a collection of terms with the same differences between them. In a Geometric Progression (GP), each successive term is created by multiplying the common ratio by previously acted.As, per the given question;
Let the first three terms of GP be a, ar, and ar².
The 1st, 2nd and 3rd terms of a GP equals 1st, 9th and 21st terms of an AP respectively.
First term are equal; a = a2nd term GP = 9th term of AP; ar = a + 8d. 3rd term GP = 21st term of AP; ar² = a + 20d.where, 'r' is the common ratio in GP and 'd' is the common difference in AP.
Part 1: Multiply equation 1 by 5 and 2 by 2 and subtract 1 from 2.
2ar² - 5ar - 3a = 0
Put a = 8 and solving.
16r² - 40r - 24 = 0.
Factorising the above equation;
(r - 3)(2r + 1) = 0
Thus, r = 3 and r = -1/2
Part 2:
Case 1: For r = 3; a =8;
ar = a + 8d
d = 2.
Thus, 4th term = a + 3d
= 8 + 3×2
4th term = 14.
For GP;
4th term = ar³
= 8(3)³
4th term = 216.
Case 2: For r = -1/2; a =8;
ar = a + 8d
d = -3/2
Thus, 4th term = a + 3d
= 8 + 3×(-3/2)
4th term = 7/2
For GP;
4th term = ar³
= 8(-1/2)³
4th term = -1.
Therefore, the values for the r and 4th term is estimated.
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Use differences to find a pattern in the sequence.
3,8,15,28,51,88,143
Assuming that the pattern continues, the eighth term should be
Answer:
220
Step-by-step explanation:
You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.
First differencesSubtracting each term from the next, we find the sequence of first differences to be ...
5, 7, 13, 23, 37, 55
Second differencesThe first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.
The second differences are the differences of the sequence of first differences. They are ...
2, 6, 10, 14, 18
Third differencesThe differences of the terms of the 2nd-difference sequence are constant: 4.
4, 4, 4, 4, 4
Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.
Next termSince we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.
next 2nd difference = 18 +4 = 22
next 1st difference = 55 +22 = 77
next sequence term = 143 +77 = 220
The eighth term should be 220.
__
Additional comment
The n-th term is ...
f(n) = 2/3n^3 -3n^2 +28/3n -4
Is 6.59 a rational number?
Answer:
6.59 is a rational number.
Step-by-step explanation:
It's not irregular.
Hope It Helps
Sorry If I'm Wrong
Answer: no it’s not
Step-by-step explanation:
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.
Using it's concepts, we have that:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.Since each value of the input is mapped to only one value of y, it is a function.What are the domain and the range of a relation?The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.
Hence:
The domain of the relation is of -2 ≤ x ≤ -1.The range of the relation is of -2 ≤ y ≤ 2.When does a relation represents a function?
A relation represents a function when each value of the input is mapped to only one value of the output.
From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.
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orentation.
2. Construct Arguments Triangle L'M'N' is the
image of triangle LMN after a translation. How
are the side lengths and angle measures of the
triangles related? Explain.
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).
What are coordinates?
A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),
where x¹ and y¹ are the coordinates of the points after transliteration.
Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).
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n.
D
5. Simplify an expression for
the perimeter of the square.
5.9x-33
5.9-3.3
EE163
5.9x-3.3
23.6x-13.2=50
CA
I don’t understand how you get 50
The value of the perimeter of square become is 36x - 132.
According to the statement
We have to find that the perimeter of the square.
So, For this purpose, we know that the
The perimeter of the square is defined as the total length of the boundary of a square.
From the given information:
The side of the square is given which is:
9x - 33
Then
We know that the
Perimeter of square = 4a
And substitute the values in it then
here a = 9x-33
Then after put the values Then
Perimeter of square = 4(9x-33)
Perimeter of square = 36x - 132.
The value of the perimeter of square become is 36x - 132.
So, The value of the perimeter of square become is 36x - 132.
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i need this answer asap please
Answer:
a. y + 3 = 0
Step-by-step explanation:
x-axis has slope of 0 so any lines parallel to x-axis has slope of 0
With m = 0 , x = -4, y = -3
y = mx + b
-3 = (0)(-4) + b
b = -3
so y = -3
or y + 3 = 0
The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be
expressed by the equation y = x + 4x. What is a reasonable domain for this function?
O
O
O
O
A y>0
By> 4
C X>0
D X> 2
The reasonable domain for this function is [tex](x > 0)[/tex] .
The collection of all feasible values for the independent variable is referred to as a function's domain.
When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.
Let the width of the rectangle be x units.
Thus as per given information length becomes x+4 units.
It is given, the area of rectangle can be expressed by the equation
[tex]y=x^{2} +4x[/tex]
Now let's find domain of this function.
clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.
Therefore the domain of the function is
[tex](0,\infty)[/tex] or x>0 .
Therefore the domain is given by the thirds option (c) x>0 .
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Compare the value of the expressions
Answer:
#1 is 95220 #2 is 95160
Step-by-step explanation:
>
pedro wants to make 3 1/2 batches of granola bars. His dad tells him that he needs 5 1/4 cup of oatmeal. How much oatmeal does pedro need for a single batch
Answer:
If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.
A case of 8 items costs $9.44 at Costco. What is the price of each item?
Answer: $1.18 per item
Step-by-step explanation:
9.44/8=$1.18 per item
Which expression is equivalent to the given expression?
2n−6
A −2(n−3)
B 6−2n
C −4n
D 2(n−3)
100 Points and Brainliest
Given the following function equations, state all of the transformations present on the graph of f(x)
4f(x-1)
-f(2x)
f(-x)+2
Answer:
Step-by-step explanation:
If x
1
=2 ,y
1
=
16
3
dx
dy
=(2.2
−2x
−2
−x
)ln2
(
dx
dy
)
x=2
=
8
1
−
4
1
=−
8
1
ln2=m
(x−x
1
)m=y−y
1
(x−2)(−
8
1
ln2)=y−
16
3
(2ln2)x+16y−3−4ln2=0 is the tangent at the point with abscissa
′
2
′
Chelsea reduced the size of a triangle to a width of 4 in. What is the new height if it was originally 10 in. tall and 20 in. wide?
4x 2x - 2 = 2x
What does “X” equal?
Answer: x=0.5
Step-by-step explanation:
4x+2x - 2 = 2x
6x-2=2x
6x=2x+2
4x=2
x=0.5