Examine the graph of the function. The graph of a line that contains points (negative 1, 7), (0, 5), and (2, 1). © 2017 StrongMind. Created using GeoGebra. What is the initial value of the function? Enter your answer as a number, like this: 42
Answers
The initial value of the function is equal to 5.
How to determine the initial value of the function?In order to determine the initial value of the function, we would have to find the slope from line graph and then write the required equation based on the data points contained in the table by using the slope-intercept form.
Mathematically, the slope-intercept form of a line is modeled by this mathematical equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept or initial value.Next, we would determine the slope of the data points as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 7)/(0 + 1)
Slope, m = -2/1
Slope, m = -2.
At point (0, 5), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept or initial value is equal to 5.
y = mx + c
y = -2x + 5
Read more on slope here: brainly.com/question/3493733
#SPJ1
Related Questions
A 5/44 lottery requires choosing five of the numbers 1 through 44. How many different lottery tickets can you choose
Answers
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:
[tex]nCr = n / (r(n-r))[/tex]
where n is the total number of options (43) and r is the number of choices (5).
so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]
Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
To know more about probability visit:
brainly.com/question/11234923
#SPJ4
What is the formula to find the side?
Answers
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
To know more on find the side problem
https://brainly.com/question/24386442
#SPJ4
Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers
Answers
Answer:
737
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2
b.we konw (A+2-A)×4-1=A+1, so A=6
therefore, the three Integer are 6, 7, 8.
What is the midpoint formula of quadratic equation?
Answers
The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.
This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.
This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.
Learn more about Quadratic Equation here:
https://brainly.com/question/28038123
#SPJ4
please help me with this!!
Answers
Answer: The answer is no, they are not proportional
Step-by-step explanation:
Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05
The distance that an object falls varies directly as the square of the time the object is in motion. If an object falls for 3 seconds, it will fall 144. 9 feet. To estimate the height of a cliff, a person drops a stone at the edge of the cliff and measures how long it takes for the stone to reach the base. If it takes 3. 5 seconds, what is the height of the cliff?
Answers
As per the given equation the height of the cliff is 196.225 feet.
How to calculate the distance of an object in motion?We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as [tex]d = kt^2[/tex] for some constant of proportionality k.
We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:
[tex]144.9 = k(3^2)[/tex]
k = 16.1
Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:
[tex]d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225[/tex]
So, the height of the cliff is 196.225 feet.
To know more about distance visit: https://brainly.com/question/15172156
#SPJ4
(5 points) 2. The coordinates of the vertices of ARST are R(1, 6), S(5, 3), and T(3,-2). Triangle R'S'T' is the image of ARST after a reflection in x = -1. Graph and state the coordinates of the vertices of AR'S'T'.
Answers
The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each otherGiven are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).
The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -
R' (1, -6)
S' (5, -3)
T' (3, 2)
The graph is attached.
Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
To solve more questions on graph reflections, visit the link below -
brainly.com/question/7835414
#SPJ1
Convert 723.8 mm to cm.
Answers
Answer:
72.38
Step-by-step explanation:
When converting from mm to cm divide the length value by 10
Audrey has x pounds of red grapes and y pounds of green grapes. she has less than 5 pounds of grapes in all. which are reasonable solutions for this situation? check all that apply. (–1, 2) (1, 3.5) (2, 2) (4.5, 0.5) (5, 0)
Answers
The reasonable solutions for this situation is (1, 3.5) and (2, 2)
What is Graph?A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.
Audrey has x pounds of red grapes and y pounds of green grapes.
She has less than 5 pounds of grapes in all, hence:
x + y < 5
Also, x ≥ 0, y ≥ 0
a) The option (–1, 2) is wrong because x = -1 < 0
b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5
c) The option (2, 2) is correct because 2 + 2 = 4 < 5
d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.
e) The option (5, 0) is wrong because 5 + 0 is not less than 5
To learn more about Graphs visit:
https://brainly.com/question/17267403
#SPJ4
12[6.3+3(1.9)] what comes first
Answers
The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expression is given below.
⇒ 12 × [6.3 + 3 × (1.9)]
Simplify the numerical expression, then we have
⇒ 12 × [6.3 + 3 × (1.9)]
⇒ 12 × [6.3 + 5.7]
⇒ 12 × 12
⇒ 144
The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Decrease 520 by 60%.
Answers
Answer:
208
Step-by-step explanation:
60 percent of 520 is 312
520 subtract 312 is 208
Answer:
208
Step-by-step explanation:
(520)-60% of 520
(520)-3×104
520-312
=208
Hope it helps you
PLS RATE AS BRAINLIEST ANSWER
Expand.
This question is worth 50 points!
Answers
Answer:
the answer is (a) x² - 2hx + h²
Step-by-step explanation:
(x-h)² = (x-h)(x-h) = x(x-h)-h(x-h)
x² - hx -hx + h²
= x² - 2hx + h²
Answer:
A) x² - 2hx + h²-----------------------------
Use the identity:
(a - b)² = a² - 2ab + b²Substitute a = x, b = h to get:
(x - h)² = x² - 2hx + h²This is the option A.
Jackson picked apples for his family. He picked a total of 6 pounds. He took 2
3
4
pounds to his aunt and 1
7
8
pounds to his mother. How many pounds of apples were left to give to his grandmother? Use the numbers and symbols to write an equation that represents the problem, then solve the equation. Symbols may be used more than once or not at all.
2
3
4
1
7
8
6 y + =
PLEASE HELPPPPPPPP
Answers
"17/8" pounds of apples were left to give to his grandmother.
Since we have given that
The quantity of apples he picked is given by 6.1/2⇒13/2 pounds.
The quantity of apples he picked for his aunt is given by 2.3/4⇒11/4 pounds.
The quantity of apples he picked for his mother is given by 1.5/8⇒13/8 pounds.
So, the total quantity left for his grandmother is given by
first we have to add the quality of apples he picked for his aunt and the number of apples he picked for his mother.
After subtracting from what he picked.
⇒13/2-(11/4+13/8)
⇒13/2-(22+13/8)
⇒13/2-(35/8)
⇒52-35/8
⇒17/8
Hence, 17/8 pounds are left for his grandmother.
To know more about basic maths:
https://brainly.com/question/4721701
#SPJ4
Man on cliff observes a boat at angle of depression of 30 which is approaching the shore at uniform speed. 6 minutes later, the angle of depression of boat is 60. Find time taken by boat to reach shore?
Answers
Answer:
Step-by-step explanation:
Let the speed be x km/h
Let the time be t
In △ADC,
tan30°=
h
xt
3
1
=
h
xt
h= xt
In △ABD,
tan60°=
h
x(6+t)
h=
x(t+6)
3
xt=
x(t+6)
3t=6+t
t=3 seconds
∴ total time taken=6+3=9 seconds
Qasim is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $2 for every hour he had his car in the lot. How much total money would Qasim have to pay for parking if he left his car in the lot for 6 hours? How much would Qasim have to pay if he left his car in the lot for t hours?
Answers
Answer:
23; 11 + 2t
Step-by-step explanation:
So let's start with the equation and then plug in the 6 hours:
Because we start with 11 dollars just to enter, our equation would start like this:
11 +
Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:
11 + 2t (2 dollars for every t, every hour)
So now the equation is 11 dollars starting entry plus 2 dollars every hour
Now all we have to do is replace t with the number of hours:
11 + 2(6) = answer
11 + 12 = answer
23 = answer
Tricia has $37.25 in her account. Which amount will she have left after she writes 3 checks for $8.33 each?
Answers
$37.25 - $24.99= $12.26
She has $12.26 left.
WHAT IS THE OPPSIT OF 0
Answers
Answer:
0
Step-by-step explanation:
The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.
If 27³+27³+27³=27x,what is the value of x?
Answers
Answer:
x = 2,187
Step-by-step explanation:
27×27×27+27×27×27+27×27×27 =27x
19,683+19,683+19,683 =27x
59,049 = 27x
divide both sides by the coefficient of x ( 27 )
59,049 / 27 = 27x / 27
x = 2,187
simplify (27^3)3
What is the best explanation of irrational numbers?
Answers
The best explanation of Irrational Numbers is that , the numbers that cannot be expressed as a ratio of integers are called as Irrational Numbers .
What are Irrational Numbers ?
The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.
For Example : [tex]\pi[/tex] is an irrational number as [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.
Some Property of Irrational Numbers are :
(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.
(ii) The Irrational Numbers are real numbers only.
(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.
Learn more about Irrational Numbers here
https://brainly.com/question/4031928
#SPJ4
28 = 4/5x - 8 what value of x makes the equation true?
Answers
Answer:
1.6285
Step-by-step explanation:
28 = 4/5x-8
Cross multiply
140x-224=4
140x =224+4
140x = 228
x = 228/140
x = 1.6285
I need help with this please
Answers
Answer:
pls give me the brainliest
the answer is in the attached document
Answer:
1 13/15
You need to turn the mixed number into an improper fraction to multiply.
A coin is flipped 200 times. The table shows the frequency of each event.
Outcome Frequency
Heads 98
Tails 102
Determine the experimental probability of landing on heads.
102%
98%
50%
49%
Answers
probability of landing on heads - 49 %
Answer:
49%
Step-by-step explanation:
2. Use the Pythagorean Theorem to find x. Show your work!
Answers
The value of x using Pythagorean theorem is 14.05 units
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:
hypotenuse² = adjacent² + opposite²
In the diagram, using Pythagoras theorem:
22² = (x + 1)² + (x + 2)²
484 = x² + 2x + 1 + (x² + 4x + 4)
2x² + 6x + 5 = 484
2x² + 6x - 479 = 0
x = 14.05
The value of x is 14.05 units
Find out more on equation at:https://brainly.com/question/2972832
#SPJ1
The height (h) in meters, of an item d days
can be modeled using the equation, h(d) = 3(5/4)^x
What does the fraction 5/4
represent in this equation?
Answers
Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Define numerator or denominator.The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.
The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.
To know more about Equations visit: https://brainly.com/question/29657983
#SPJ4
Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will select a random sample of 100 adults from the target population to participate as subjects in the study. (a) One aspect of the study is to record the number of miles each subject walks per day. The researchers are deciding whether to have subjects wear an activity tracker to record the data or to have subjects keep a daily journal of the miles they walk each day. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.
Answers
(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.
(b) - The researcher can use the results of the study to make generalization to the entire population.
Bias
A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.
generalization
It is the tendency to respond in the same way to different but similar stimuli.
A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.
Learn more about Bias here :-
https://brainly.com/question/15135672
#SPJ4
For which values of x does each expression make sense? square root of x-2 over square root of x-3
Answers
the answer is x>3
this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers
Find the number of the degree of this polynomial.(please)
Answers
Answer:
2 is the highest degree because it's the only exponent
. A random sample of 60 squirrels will be selected from the population of eastern gray squirrels, and a random sample of 120 squirrels will be selected from the population of western gray squirrels. What is the mean of the sampling distribution of the difference in sample proportions (eastern minus western)
Answers
mean of the sampling distribution of the difference in sample proportions is 0.36.
Which approach is most likely to result in a random sample of your class's members?The best method for the random sampling will be to write the students' names on paper and pick them out of a hat, as each student will have an equal chance of being chosen.
22% of the population of eastern grey squirrels weigh more than 0.5 kg.
36% of the population of western grey squirrels weigh more than 0.5 kg.
Eastern grey squirrel sample size is 60.
There were 120 western grey squirrels in the sample.
Required:
The difference in sample proportions' mean of the sampling distribution (eastern minus western)
The difference of the mean yields the mean of the difference.
Mean = p1 - p2 is the sampling distribution's average for the difference in the sampling proportion from two populations.
Where;
p1 = 22% of the eastern grey squirrel, which equals 0.22.
p2 = 36% of the western grey squirrel, which equals 0.36.
Therefore;
p1 - p2 = 0.22 - 0.36 is the mean.
The right answer is (E) 0.22 - 0.36.
To know more about proportions visit:-
brainly.com/question/29774220
#SPJ4
Mason has 2 1/2 cups of peanut
butter. He is making peanut butter
sandwiches. If he uses 1/8cup of
peanut butter in each sandwich,
how many sandwiches can he
make?
Help
Answers
Answer:
Mason can make 20 sandwiches.
Step-by-step explanation:
2 1/2 ÷ 1/8 = 20The quadrilaterals ABCD and JKLM are similar.
Find the length x of JK.
B
K
A
U
S
3. 5
2. 1
3
M
2. 1 L
D
3
c
X
0
X 5 ?
Answers
The length x of JK is 3.6 units
Here, quadrilaterals ABCD and JKLM are similar.
We know that the corresponding sides of similar triangles are in proportion.
So, by definition of similar triangles,
AB/JK = BC/KL = CD/LM = AD/JM
To find: the length x of JK
So, consider an equation
AB/JK = AD/JM
Substitute the length of each side in above equation.
4/x = 2/1.8
(4 × 1.8)/x = 2
(4 × 1.8)/2 = x
x = 2 × 1.8
x = 3.6
Therefore, the length of JK = 3.6 units
Learn more about an equation here:
https://brainly.com/question/649785
#SPJ4