The total cost of 10 brownies is $4 is the statement that best describes the meaning of f(4) = 10, if f(x) is the total cost, in dollars, of x brownies.
What is a function?In mathematics, a function is an expression, rule, or law that specifies a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are widespread in mathematics and are required for the formulation of physical relationships in the sciences. The present concept of function was initially proposed in 1837 by the German mathematician Peter Dirichlet.
If a variable y is so closely tied to a variable x that whenever a numerical value is assigned to x, there is a rule that determines a unique value of y, then y is said to be a function of the independent variable x.
As we can see it is mentioned that f(x) = total cost = f(4)
So only option d. has 4 as total cost, that why d is the right option and statement as follows The total cost of 10 brownies is $4.
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How would I solve this question?
For j(x) = 3x-1, find j(x+h)-j(x)
h
O 3x-1(3¹ +1)
h
○ 3²-1(30)
h
3x-1(3-1)
h
O (x-1)(3+1)
h
-3h is value of function j(x +h)-j(x) .
What is functions ?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.j(x) = 3x-1
J(x + h ) = 3 ( x + h ) + 1
put the value
j(x +h)-j(x) = 3x-1 - 3 ( x + h ) + 1
= 3x - 1 - 3x -3h + 1
= -3h
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Write an equation in standard form of the circle with the given center and radius.
center (-6,3) , radius 8 .
The equation in standard form of the circle with radius 8 and center located at (-6 , 3) is (x + 6)^2 + (y - 3)^2 = 64.
The standard form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (-6 , 3)
r = 8
(x - -6)^2 + (y - 3)^2 = 8^2
(x + 6)^2 + (y - 3)^2 = 64
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Hourly Pay Rate: $13.17
Mon
in 7:15
out 10:15
Lunch
In 1:30
Out 7:45
what property is -28 = -28
The numbers -28 = -28 are representing the reflexive property.
What is reflexive property?According to the Reflexive Property, x=x for every real number x. The meaning of the reflexive property is that the two expressions will have identical answers.
Suppose for square the two expressions for the length are 2x - 2 and ( 4x / 2 - 2 ). The two lengths of the square will have the same value.
2x - 2 = ( 4x / 2 - 2 ).
2x - 2 = 2x - 2
This is called reflexive property. Therefore, the numbers -28 = -28 are representing the reflexive property.
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In 2004,8 million Americans over the age of 7 participated in mountain biking, and in 2006,8.5 million participated.
b. Based on the data, what is the growth per year of the sport?
The growth per year in Mountain Biking is 0.25 Million
In the year 2004 - 8 Million people participated
So, the slope point becomes (2004,8)
In the year 2006 - 8.5 Million people participated
So, the slope point becomes (2006,8.5)
Now we have points as :
[tex]X_1[/tex] = 2004
[tex]Y_1[/tex] = 8
[tex]X_2[/tex] = 2006
[tex]Y_2[/tex] = 8.5
Growth per year in the sport :
= [tex]Y_2[/tex] - [tex]Y_1[/tex] / [tex]X_2[/tex] - [tex]X_1[/tex]
= 8.5 - 8 / 2006 - 2004
= 0.5 / 2 = 0.25
Therefore, Growth per year in the sport is 0.25 Million per year
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Solve each equation. 64 = 4+12g
The solution of the given linear equation in one variable is 64 = 4 + 12g is g = 5.
According to the given question.
We have a linear equation in one variable 64 = 4 + 12g.
Since, we have to solve the above equation for g.
As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofore, the solution of the equation 64 = 4 + 12g is given by
64 = 4 + 12g
⇒ 64 - 4 = 12g (subtract 4 both the sides)
⇒ 60 = 12g
⇒ 60/12 = g (dividing by 12 both the sides)
⇒ 5 = g or g = 5
Hence, the solution of the given linear equation in one variable is 64 = 4 + 12g is g = 5.
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Substitute -3for{x} in each of the following equations. What is the value of y ?
a. y = 2x+3
In the equation y = 2x + 3, the value of y when we substitute -3 for x is -3.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
To evaluate an equation means to substitute a value to the variable and perform the arithmetic operations included.
Given the equation y = 2x + 3, if we substitute -3 for x, the equation becomes
y = 2(-3) + 3
Performing the arithmetic operations, we can have the value of y.
y = 2(-3) + 3
y = -6 + 3
y = -3
Hence, for the equation y = 2x + 3, y is -3 when x is -3.
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A person's field of study is often called that person's domain. If your domain is American history, what topics might you be interested in?
american history.
the foramtion of the country, the struggles that took place to found it, the social discourses, the creation of political parties and their impact, the crippling loss native americans experienced, racial disparaging, societal progress, businesses and the economy, countless societal/political protests and reformations, the epidemics, the wars, the art, the inventions, the environment, the vernacular, the country in all of its stained glory.
Simplify. 3/7 . 21/21
Value of the expression 3/7 . 21/21 after simplify is equal to 3/7.
As given in the question:
Given expression :
3/7 . 21/21
Simplify the given expression 3/7 . 21/21
3/7 . 21/21
= {(3 /7 ) ×21 } /21
= ( 3 ×21 ) / (7 × 21)
21 is the common number between numerator and denominator
= 3/7 .1
= 3/7
Therefore, value of the expression 3/7 . 21/21 after simplify is equal to 3/7.
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Enlarge shape A by scale factor 2 with centre of enlargement (-3,-5).
-8 -7 -6 -5 -4
-3 -2 -1
8
7
6
5
4
3
2+
1
T
-2
-3-
(0,-4)
-4
-5- A
2
-8-
(2,-4)
-6
(0.-6) (1,-6)
-7
-3
4.
15
6
77
What are the coordinates of the vertices of the image?
2700
Answer:
Step-by-step explanation:
Hi bro my question got deleted
here it is There is a number such that for times the number plus 3 is equal to 19. Find the number
They said its sexuly abuse and all that stuff can you please help me?
Use the given information to write an equation of the circle.
radius 7 , center (-6,13)
Using the given information, the equation of the circle with radius 7 and center located at (-6 , 13) is (x + 6)^2 + (y - 13)^2 = 49.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (-6 , 13)
r = 7
(x - -6)^2 + (y - 13)^2 = 7^2
(x + 6)^2 + (y - 13)^2 = 49
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Two things are consistent if they are in agreement with each other. What does it mean for your actions to be consistent with your words?
It implies that you follow through on your commitments and don't just claim you'll do something before breaking your word.
For eg: - If one says that I will complete the quiz by tomorrow, then being consistent implies I must complete the quiz by tomorrow. On the other hand, if I fail to meet the test by tomorrow then I am being inconsistent with my words. Therefore, both the task at hand and my words are consistent with each other
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Any help please? Question down below
Find the percent of the given number. 26 % of 500
A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.
The percent of the given number 26 % of 500 is 130.
What is meant by percentage?A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.
Let the equation be 26 % of 500
Percentage = (value/total value) × 100 %.
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
26 % of 500 = 26/100 of 500
26/100 × 500 = 130
Therefore, the percent of the given number 26 % of 500 is 130.
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P lies 2 units below the x-axis and its x-coordinate is three times its y-coordinate
The coordinate of point P is (-6, -2)
How to determine the coordinate of P?The given parameters are:
P lies 2 units below the x-axis and its x-coordinate is three times its y-coordinate
The above means that
y = -2 i.e. 2 units below the x-axis
x = 3y
This gives
x = 3 * -2
Evaluate
x = -6
Express as cooridnates
P = (-6, -2)
Hence, the coordinate of point P is (-6, -2)
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An alternative hypothesis states the direction one expects to see in the difference between treatments, while the null hypothesis does not. True or false?.
Yes, it is true that an alternative hypothesis states that the direction one expects to see in the difference between treatments while the null hypothesis does not.
Null and alternative hypothesis are the two statistical hypotheses and research hypothesis is another name for the alternative hypothesis. Whenever there is difference in the outcomes of interest then it is an alternative hypothesis. And the null hypothesis is the statement of equality. The null hypothesis and alternative hypothesis both are complementary to each other.
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My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. How much money will Savannah have after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with a mathematical model of the problem situation.
The amount of money Savannah will have after 10 days is $0.35
Convert penny to dollar1 penny = $0.01Amount Savannah started with = 5 pennies
= $0.01 × 5
= $0.05
Additional amount per day = 3 pennies
= $0.01 × 3
= $0.03
Number of days = 10Total savings in 10 days = 0.05 + 0.03(10)
= 0.05 + 0.3
= $0.35
Number of days it will take for her to have at least $1.50 = 0.05 + 0.03d
1.50 - 0.05 = 0.03d
1.45 = 0.03d
d = 1.45 / 0.03
d = 48.33333333333333
Approximately,
d = 48.33 days
Therefore, the number of days it will take for her to have at least $1.50 us 48.33 days
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What is the discriminant of the polynomial below?
4x² + 4x+1
О AD
OB. -12
O C. -4
OD. 32
Answer:
A. 0
Step-by-step explanation:
You want the discriminant of the quadratic 4x²+4x+1.
DiscriminantThe discriminant of quadratic ax²+bx+c is ...
d = b² -4ac
Your given expression has ...
a = 4b = 4c = 1Substituting these values into the formula for the discriminant, we get ...
d = 4² -4(4)(1) = 16 -16 = 0
The discriminant of the polynomial is 0.
Select all the inequalities that have the same graph as x < 4.
A) x < 2
B) x + 6 < 10
C) 5x < 20
D) x-2 >2
E) x < 8
Answer:
Step-by-step explanation:
B) and c)
b) is correct because x + 6 < 10
x < 10 -6
x < 4
c) is correct because
5x < 20
x < 20/5
x < 4
4. What is the rate of change of the linear function that has a graph that passes
through the points (-1, 3) and (-2,-4)?
The rate of change of the function that has a graph that passes
through the points (-1, 3) and (-2,-4) is slope and is equal to 7.
The slope of a line is outlined because the amendment in y coordinate with relevancy the amendment in x coordinate of that line. cyber web amendment in y coordinate is Δy, whereas cyber web amendment within the x coordinate is Δx. The slope of a line is calculated victimisation 2 points lying on the line. Given the coordinates of the 2 points, we are able to apply the slope of line formula m = y₂ - y₁ / x₂ - x₁ where (x₁ ,y₁) are the coordinate of first point and (x₂ ,y₂) are the coordinate of second point.We have given two points (-1, 3) and (-2,-4) .
Rate of change of graph is given by slope
Using slope formula , we get
m = -4 - 3 / -2 - (-1)
m = -7 / -2 + 1
m = -7 / -1
m = 7
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Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s. what is the radius of jupiter? 7,781.6 km 19,420 km 48,893 km 69,912 km
Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, then its radius is 69,912 km.
Tangential speed is defined as the measure of the circumference of the circular path the object is moving along divided by the value of the amount of time it took to complete one rotation.
tangential speed = C/t
where C = circumference
t = time it took to complete one rotation
Given that Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s, solve for the circumference of Jupiter.
C = tangential speed x time
C = 12,293 m/s (9.9259 hours)(3600s/hr)
C = 439,268,719.3 m
Using the formula for circumference, solve for the radius of Jupiter.
C = 2πr
r = C / 2π
r = 439,268,719.3 m/2π
r = 69,911,788.03 m
r = 69,912 km
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Answer:
D. 69,912 km
Step-by-step explanation:
The records at a particular two-year college classify a student as a freshman, a sopho- more, a student that has transferred out, or a student that has graduated. Each year 25% of students transfer, 15% have to repeat the year, and 60% complete the year. Once a student has transferred or graduated they have a 100% chance of staying clas- sified that way. Currently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and 3,000 graduates. Determine the number of students in each category one year from now. You may use a calculator for any computations in this problem only.
One year from now, there are 300 freshmen, 1425 sophomores, 1375 students that transferred out, and 3900 students graduated.
Each category is based on the percentages given, 25% of students transfer, 15% have to repeat the year, and 60% complete the year and the fact that once a student has transferred or graduated they have a 100% chance of staying classified that way.
Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".
If currently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and 3,000 graduates,
Among the 2000 freshmen, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.
students who transfer = 25% of 2000 = 500
freshmen(repeater) = 15% of 2000 = 300
sophomore = 60% of 2000 = 1200
Among the 1,500 sophomores, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.
students who transfer = 25% of 1500 = 375
sophomore(repeater) = 15% of 1500 = 225
students who graduated = 60% of 1500 = 900
Adding the total number of sophomores(freshmen who completed the year and sophomores that have to repeat the year)
sophomores = 1200 + 225 = 1425
Adding the total number of students who transfer,
500 + 500 + 375 = 1375
Adding the total number of student that graduated,
3000 + 900 = 3900
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A blueprint has one path of a park passing through (1, 1) and (3, 6). If the planners want a second path to be perpendicular to the first, what should be the slope of the second path?
Answer: -2/5
Step-by-step explanation: The slope is 5/2 and for a perpendicular line the slop is the opposite so its -2/5
Find the ellipse centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1). write your equation in the form ax2 bxy cy2 = 1.
The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as
-0.3523x^2 0.5284xy 15.9268y^2 = 1.
Find the ellipse centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1).?Generally, the equation for three points is mathematically given as
a+2b+4c=1.....1 for the variable (1, 2)
4a+4b+4c=1.....2 for the variable (2, 2)
9a+3b+c=1.....3 for the variable (3, 1)
Step 1
Here we solve equations 1 and 2 simultaneously to find the value of b
Therefore
equ 2-equ1
3a+2b=0
b=-1.5a....4
Step 2
We solve equations 1 and 3 simultaneously to find the value of c
Where
9*equ1-equ3 gives
-15b-35c=-8
c=8-15b
subbing equ 4 we have
c=8+22.5a ....5
Step 3
Put values of b and c in equation 2, and we have
4a-6a+32+90a=1
a=-31/88
a=-0.3523
The value of b will be
b=-1.5*a
b=0.5284
The value of b will be
c=8-22.5*a
c=15.9268
Step 4
In conclusion, the equation is given as
By substituting the values of a b and c into the general formula we have
-0.3523x^2 0.5284xy 15.9268y^2 = 1.
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How many solutions in this equation? 25x - 1 = 20x + 14
Exactly one solution
No solution
DELL
Infinitely many solutions
The value of equation of 25x - 1 = 20x + 14 is x=3
Given,
25x - 1 = 20x + 14
5x=14+1
5x=15
x=3
Equations are fine statements that comprise two algebraic equations on each sides of an equal sign( =) . It depicts the equivalency link between the expression written on the left side and the expression written on the right side .L.H.S = R.H.S( left hand side = right hand side) appears in every fine equation. Equations can be used to calculate the value of an unknown variable that represents an unknown quantity. However, it isn't an equation, If the statement lacks the' equal to' sign.
Portions, variables, drivers, constants, terms, expressions, and an equal to are all factors of an equation. When we compose an equation, we must include a" = " symbol and terms on both sides.
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ill give brainliest!
Answer:
A. 16
Step-by-step explanation:A triangle has total degree of 180 we already know what the first degree is (80°)
we need to know how many degrees we have left so we have the equation 180-80= 100
let's plug in 16 in the equation (4x -4) °
(4(16) - 4)
64-4= 60°
we found our second degree now let's plug in 16 in .5 x +32
0.5(16)+ 32
8+32=40
40°
let's add all the degrees to see if it would equal to 180
80°+60°+40°= 180
so, x = 16
Using calculus, it can be shown that if a ball is thrown upward with an initial velocity of 48 ft/s from the top of a building 316 ft high, then its height h above the ground t seconds later will be h = 316 + 48t − 16t2. During what time interval (in seconds) will the ball be at least 28 ft above the ground? (Enter your answer using interval notation.)
Answer: t∈[0.6] 0 c≤t≤6 c
Step-by-step explanation:
h=316+48t-16t²
-16t²+48t+316≥28
-16t²+48t+316-28≥28-28
-16t²+48t+288≥0
Divide both parts of the equation by 16 :
-t²+3t+18≥0
Multiply both parts of the equation by -1 (in this case, change the sign of the inequality to the opposite)
-(-1)t²+(-1)3t+(-1)18≤0
t²-3t-18≤0
t²-6t+3t-18≤0
t(x-6)+3(t-6)≤0
(t-6)(t+3)≤0
Find the zeros of the function:
t-6=0
t-6+6=0+6
t=6
t+3=0
t+3-3=0-3
t=-3
⇒ - ∞__+__-3__-__6__+__+∞
⇒ t∈[-3;6]
t≥0
⇒ t∈[0,6]
Write – 90 7 50 as a decimal number.
The value of – 90 7 50 written as a decimal number is -90. 14
What are decimals?Decimals are the types of numbers, having a whole number and the fractional part that is separated by a decimal point.
The dot present that is found between the whole number and fractions part is known as the decimal point.
Given the mixed fraction;
– 90 7 50
Let's convert to improper fractions;
-4507 /50
Find the ratio
-90. 14
Thus, the value of – 90 7 50 written as a decimal number is -90. 14
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Mary has two bags of nuts, one with 60% peanuts and the other with 12% peanuts. To make a 5 lb bag of 44%, how much of each should Mary use?
peanuts + peanuts = peanuts
-----------------------
0.60x + 0.35(8-x) = 0.50*8
------
60x + 35*8 - 35x = 50*8
