Answers
1. (a)The vertex of the function [tex]y=x^{2} +5x-7[/tex] is [tex](-\frac{5}{2} ,-\frac{53}{4} )[/tex]
How is the vertex calculated?
In function [tex]y=x^{2} +5x-7[/tex],
a= 1 ,b= 5, c= -7
For a function [tex]y=ax^{2} +bx+c[/tex] , where (a≠0),
The vertex is [tex](-\frac{b}{2a} ,\frac{4ac-b^{2} }{4a} )[/tex]
[tex]x_v=-\frac{b}{2a}\\\\ =-\frac{5}{2*1} \\\\=-\frac{5}{2} \\\\\\y_v=\frac{4ac-b^{2} }{4a} \\\\=\frac{4*1*(-7)-(5^{2} )}{4*1}\\\\ =-\frac{53}{4}[/tex]
So, vertex [tex](-\frac{5}{2} ,-\frac{53}{4} )[/tex] is minimum because a>0
(b)The solutions are [tex](\frac{\sqrt{53} -5}{2},0) (\frac{-5-\sqrt{53} }{2},0)[/tex]
How is the solution calculated?
When a function [tex]y=ax^{2} +bx+c =0[/tex] where (a≠0),
[tex]x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a} \\\\x=\frac{-5\pm\sqrt{5^{2} -4(1)(-7)} }{2(1)} \\\\x=\frac{-5\pm\sqrt{53} }{2} \\\\x=\frac{\sqrt{53} -5}{2} , x=\frac{-5-\sqrt{53} }{2} \\\\\text{The solutions are } (\frac{\sqrt{53} -5}{2},0) (\frac{-5-\sqrt{53} }{2},0)[/tex]
2. (a)The vertex of the function [tex]y=-x^{2} +3x+8[/tex] is [tex](\frac{3}{2} ,\frac{41}{4} )[/tex]
How is the vertex calculated?
In function [tex]y=-x^{2} +3x +8[/tex]
a= -1 ,b= 3, c= 8
For a function [tex]y=ax^{2} +bx+c[/tex] , where (a≠0),
The vertex is [tex](-\frac{b}{2a} ,\frac{4ac-b^{2} }{4a} )[/tex]
[tex]x_v=-\frac{b}{2a}\\\\ =-\frac{3}{2*(-1)} \\\\=\frac{3}{2} \\\\\\y_v=\frac{4ac-b^{2} }{4a} \\\\=\frac{4*(-1)*(8)-(3^{2} )}{4*(-1)}\\\\ =\frac{41}{4}[/tex]
So, vertex [tex](\frac{3}{2} ,\frac{41}{4} )[/tex] is maximum because a<0
(b)The solutions are [tex](\frac{3+\sqrt{41} }{2},0) (\frac{3-\sqrt{41} }{2},0)[/tex]
How is the solution calculated?
When a function [tex]y=ax^{2} +bx+c =0[/tex] where (a≠0),
[tex]x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a} \\\\x=\frac{-3\pm\sqrt{3^{2} -4(-1)(8)} }{2(-1)} \\\\x=\frac{-3\pm\sqrt{41} }{-2} \\\\x=\frac{3\pm\sqrt{41} }{2}\\\\x=\frac{3-\sqrt{41}}{2} , x=\frac{3+\sqrt{41} }{2} \\\\\text{The solutions are } (\frac{3+\sqrt{41} }{2},0) (\frac{3-\sqrt{41} }{2},0)[/tex]
To learn more about vertex, refer:
https://brainly.com/question/21185651
#SPJ13
Related Questions
Reflection across x=-2
Answers
After reflection across the line x = -2, point L(-6,2), M(-6,0), K(-1,3) and J(3,0) becomes L'(1,2), M'(1,0), K'(-3,3) and J'(-1,0)
The line x = -2 will be parallel to y-axis. Let us say that there is a general point A(a,b). If this point is reflected across the line x = -2 then the y coordinates should remain same for the reflected point but x coordinate will change.
The new x coordinate will be parallelly opposite to the initial point and also at the same distance from the line as the initial point
From the Figure, we can see,
The coordinates of,
The point L is (-6,2),
The point M is (-6,0),
The point K is (-1,3) and,
The point J is (3,0).
After reflection across the line x = -2, the coordinates of,
The point L' is (1,2),
The point M' is (1,0),
The point K' is (-3,3),
The point J' is (-1,0)
To know more about Reflection across line, visit,
https://brainly.com/question/26642069
#SPJ1
LEMON SQUASH 1 part concentrate to 2 parts water If you put 25 ml of concentrate in a glass, how much water should be added? ml
Answers
1:2
25:50
50ml of water should be added
I need help with this practice problem. *Make sure to answer (a) and (b), as they are questions included in the problem*
Answers
The answers to both the subparts using the binomial theorem are shown:
(A) Summation notations: = e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion: (3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²What is the binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.Or in simpler terms, the nth power of the sum of two numbers a and b can be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for any positive integer n.Probability:
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics describes the examination of events subject to probability.(A) Summation notations:
(3x⁵ - 1/9y³)⁴= e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion:
(3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²Therefore, the answers to both the subparts using the binomial theorem are shown:
(A) Summation notations: = e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion: (3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²To learn more about binomial theorem visit:
brainly.com/question/13672615
#SPJ13
Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has, which expression represents the number of marbles that Conrad has?
6r
r – 6
6 – r
r + 6
Answers
r + 6 expression represents the number of marbles that Conrad has.
Algebraic expression
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). An algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.
For example, 3x² − 2xy + c is an algebraic expression.
Given that Conrad has 6 more marbles than Rory. If r represents the numbers of marbles that Rory has.
Number of marbles Rory has = r
Therefore number of marbles Conrad has = r + 6
r + 6 expression represents the number of marbles that Conrad has.
To learn more about algebraic expression visit:
brainly.com/question/953809
#SPJ1
find two positive integers whose product is 24,999,999 and whose positive difference is as small as possible. explain how you discovered them
Answers
Answer:
5001 and 4999
Step-by-step explanation:
25,000,000 is the square of 5,000 and 24,999,999 is one less than it. Notice that the situation resembles the expression [tex]x^2-1[/tex] in which x would be 5,000.
[tex]x^2-1[/tex] can be factored into [tex](x+1)(x-1)[/tex], and substituting x with 5000 yields: [tex](5000+1)(5000-1)[/tex]. This can also be written as [tex](5001)(4999)[/tex]. Therefore, the integers would be 5001 and 4999.
There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars how many nickels dimes and quarters are there each
Answers
There are two more quarters than dimes and as many nickels as dimes and quarters together. The total amount of money is 3. 75 dollars, then nickels dimes and quarters are there each, D =7 dimes , Q = 9 quarters, and N = 16 nickels
tart by defining the variables for this problem :
Q : number of quarters
D : number of dimes
N : number of nickels
There are two more quarters than dimes so the equation :
Q = D+2
And as many nickels, as quarters and dimes together so the equation :
N = Q+ D
The total amount of money is $3.75 so the equation :
0.25Q + 0.10D + 0.05N =3.75
Solve the following system :
Q = D + 2 (I)
N = Q + D (II)
0.25Q + 0.10D + 0.05N =3.75(III)
In the equation (II) find Q in terms of N and D :
N = Q + D (II)
Q = N - D (IV)
If use (I) in (IV) :
Q = N - D
D + 2 = N - D
2D = N - 2
N = 2D + 2 (V)
If use (I) and (V) in (III)
0.25Q + 0.10D + 0.05N =3.75
(0.25) . (D + 2) + 0.10D + (0.05) . (2D + 2) = 3.75
0.25D +0.50 + 0.10D + 0.1D + 0.1 = 3.75
0.45D = 3.75
D = 3.75/ 0.45
D = 7
if D = 7 -----------replacing in (I)
Q = D + 2
Q = 7 + 2
Q = 9
If replace this values in (II)
N = Q + D
N = 9 + 7
N = 16
there are D =7 dimes,
Q = 9 quarters
N = 16 nickels
To learn more about Dollars visit:
brainly.com/question/28547396
#SPJ4
1 point
It took me 120 minutes to answer 25 questions. How long did each question take? type your answer...
Previous
minutes
Answers
It took me 120 minutes to answer 25 questions. How long did each question take?
120/25 = 4.8 minutes per question
a fruit basket contains 5 apples, 6 oranges, and 3 peaches. if 3 fruit are selected and consumed, then compute the chance that all 3 fruits are not apples. write the answer as a decimal number rounded to third place value. group of answer choices
Answers
All three fruits are not apples is 0.027
Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.
P (X) = n/N
Given :
A fruit basket contains 5 apples
oranges=6
peaches=3
To find :
compute the chance that all 3 fruits are not apples ?
Solution :
P(all 3 are apples) =(5x4x3)/(14x13x12)
⇒ 60/ 2184
⇒ 0.027
the chance that all 3 fruits are not apples is 0.027
To know more about the probability that all three are not same visit :
https://brainly.com/question/9230883
#SPJ4
im so bad at things like this pls help
Answers
Answer:
Part A: C. 3c - 2 = c + 22
Part B: The cat weighs 12 pounds, and the dog weighs 34 pounds.
Step-by-step explanation:
Create a system of equations:
d = 3c - 2, d = 22 + c
And substitute to get the answer to part A:
22 + c = 3c - 2
If you solve the system, you get d = 34 and c = 12 as the answer to part B.
The cat weighs 12 pounds, and the dog weighs 34 pounds.
Answer: The weight of the dog is 34 pounds and The weight of the cat is 12 pounds The answer should be B I think that's the answer
Step-by-step explanation:
Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.
Answers
The most appropriate choice for histogram will be given by-
a) Team tigers has taller players than team panthers
Team panthers has shorter players than team tigers.
b) team tigers have height that vary more.
c) So team panthers have more players about the same height.
What is histogram?
Histogram is a type of bar graph which makes use of the range of classes in the horizontal x axis and the frequency of classes in the vertical y axis.
Here,
a) The bars in the histogram of team tigers are relatively taller than the bars in the histogram of team panthers. So, team tigers has taller players than team panthers.
The bars in the histogram of team panthers are relatively shorter than the bars in the histogram of team tigers. So, team panthers has shorter players than team tigers.
b) For team tigers, there are no players between 66-69 inches height and, two players between 69-72 inches height and five players between 72-75 inches height. So fluctuations between the heights of two consecutive bars for team tigers is more.
For team panthers, it can be seen that the fluctuation between the heights of heights of two consecutive bars is not that much.
So team tigers have height that vary more.
c) In team panthers, there are one player in 63-66 inches and 69-72 inches, three players in 66-69 inches and 75-78 inches and two players between 72-75 inches and 78-81 inches. So team panthers have more players about the same height.
To learn more about histogram, refer to the link-
https://brainly.com/question/2962546
Complete Question
The diagram has been attached here
Look at the two histograms below. They give you information about the heights of players on two basketball teams, the Tigers and the Panthers. Use the histograms to answer the following questions.
a)Which team has taller players? Which has shorter players? Explain your thinking.
b)Which team has heights that vary more? Explain your thinking.
c)Which team has more players that are about the same height?
#SPJ9
Brandon takes 1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hours will it take Brandon to complete the book?
Answers
Answer:
Step-by-step explanation:
Brandon takes 1/4 of a 24-hour period to read 1/3 of his book. At this rate, how many hours will it take Brandon to complete the book?
1/4 of 24 hours = 0.25 × 24 = 6 hours
so:
Brandon takes 6 hours to read 1/3 of his book. To read the full book, going at the same reading rate:
6 × 3 = 18
It takes Brandon 18 hours to read the book.
When constructing a confidence interval for the population mean using the standard deviation of the sample, the degrees of freedom for the t distribution equals.
Answers
The t distribution's degrees of freedom are equal to n - 1 by standard deviation.
What does math standard deviation mean?
The standard deviation shows the average level of variability in your dataset. It provides the standard deviation of every statistic. A low standard deviation indicates that values are frequently within a certain distance of the mean, whereas a high standard deviation indicates that values are frequently outside of this range. Consider the information below: 2, 1, 3, 2, 4. The deviations from the mean of the observations will be represented by the average and the sum of squares, which will be 2.4 and 5.2, respectively. This indicates that the standard deviation will be (5.2/5) = 1.01.The degrees of freedom for the t distribution when creating a confidence interval for the population mean using the sample's standard deviation equals n - 1.
Degrees of freedom = n - 1
Learn more about standard deviation
brainly.com/question/13905583
#SPJ4
Find AX. A(-4, 5), X(1, −2)
Answers
The distance of AX, A(-4, 5), X(1, -2) is 8.6
The distance formula is used to find the distance (shortest path) between two points.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\d = \sqrt{(-4 - 1)^{2} + (5 - (-2))^{2} } \\d = \sqrt{(-5)^{2} + (7)^{2} } \\d = \sqrt{25 + 49}\\ d = \sqrt{74}[/tex]
d = 8.6
Therefore, the distance of AX, A(-4, 5), X(1, -2) is 8.6
To learn more about distance formula refer here
https://brainly.com/question/7243416
#SPJ1
Select equivalent or not equivalent for each pair of expressions
Answers
Equivalent or not equivalent result for each pair of given expressions are as follow:
a.5x-7+3x and 3x-7 +5x is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y is equivalent.
c. 6z -2z +4 and 4 +2z-6z is not equivalent.
As given in the question,
Each pair of given expressions are equivalent or not equivalent :
a. 5x-7+3x and 3x-7 +5x
5x-7+3x
=(5x +3x) -7
= 8x -7
3x-7 +5x
= (3x +5x) -7
= 8x -7
This pair is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y
4y +9 +3y
=(4y+3y)+9
= 7y +9
3y + 9 + 4y
=(3y +4y) +9
= 7y +9
This pair is equivalent.
c. 6z -2z +4 and 4 +2z-6z
6z -2z +4
=4z + 4
4 +2z-6z
= 4 -4z
This pair is not equivalent.
Therefore, equivalent or not equivalent result for each pair of given expressions are as follow:
a.5x-7+3x and 3x-7 +5x is equivalent.
b. 4y +9 +3y and 3y + 9 + 4y is equivalent.
c. 6z -2z +4 and 4 +2z-6z is not equivalent.
Learn more about equivalent here
brainly.com/question/14672772
#SPJ1
9.31x5.8 it seems like it needs factors and decimals and a explanation
Answers
Answer:
53.998x
Step-by-step explanation:
9.31x · 5.8
9.31 · 5.8x
=53.999x
de
Identify the Base and Height of Triangles
A formula for calculating the area of a triangle is A=bh, where b is the length of the
or length of an altitude, of the triangle.
Identify the base and sketch in the height on each type of triangle.
Right triangle
and his the
Acute triangle
Obtuse triangle
Answers
A formula for calculating the area of a triangle is A=1/2(b*h), where b is the length of the base and h is the height of or length of the altitude, of the triangle.
Identify the base and sketch in the height on each type of triangle.
right triangle - One of the sides that touches the 90-degree angle constitutes the foundation of a right triangle.
The height of a triangle is measured from its base to its highest point, and in a right triangle, that height can be determined from the side that forms a right angle to the base.
acute triangle - Three sides and three vertices make up the fundamental polygon known as the triangle. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the triangle is said to be acute.
obtuse triangle - In an obtuse triangle, the height or altitude from the acute angles is outside the triangle. To find the height of the obtuse triangle, we extend the base as illustrated.
what is a triangle?
Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.
To learn more about triangles visit:
https://brainly.com/question/1058720
#SPJ13
the positive difference between the product of 78 and 36 and their sum is
Answers
Answer:
2694
Step-by-step explanation:
product of 78 and 36=78*36=2808
sum =78+36=114
difference between them =2808-114=2694
Nicole is selling wing plates to fundraise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?
Answers
Answer:
M = 7p - 147
Step-by-step explanation:
Nicole is selling wing plates to fund raise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?
profit - sales - cost of goods sold
where p = number of plates sold
M = 7p - 147
an electrician earns $18.per hour. how will he earn for a job that from 11:30 a.m. to 2:00 p.m.?
Answers
Answer: $63
Step-by-step explanation:
If the electrician gains $18 an hour and works for 3 and a half hours, once you add the money for the total time up you will get $63.
$9 (for the 30 minutes) + $18 x 3 (for the 12-2 full working hours).
Hope this helps^^
[7th Grader]
Fine the average rate of change for f(x) on the interval [-1,3]
Answers
For any function f(x), the average rate of change on the interval [x1,x2] is given by [f(x2) - f(x1)]/(x2-x1)
For f(-1) = 2.5 and f(3) = 40, the average rate of change on the interval [-1,3] is given by:
step 1 - (40 - 2.5)/[3-(-1)] = 37.5/4 = 9.375
step 2 - (37.5)/4
step 3 - Solving the fraction we find that the average rate of change is 9.375 (or 75/8)
10. (a) Find the value of 5°
Answers
5 is in hundreds place and its place value is 500, 4 is in tens place and its place value is 40, 8 is in ones place and its place value is 8.
I hope this helps :)
Please help i’ve been stuck on this question for a too long!!
Graph the function with the given description.
A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable
decreases. The value of the function at 0 is 3.
Answers
The linear function equation exists the slope-intercept form. A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].
What is meant by linear function?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let the independent variable be x.
The value of the function at 0 is 3.
If h(0) = 3
When the independent variable decreases by 5, the independent variable increases by 1.
So, the slope (m) exists -1/5.
Where, m = -1/5 the slope
b = 3 - the y-intercept
A linear equation exists represented as: h(x) = mx + b then [tex]$\mathbf{h}(\mathrm{x})=-\frac{1}{5} \mathrm{x}+3$\\[/tex].
To learn more about linear functions refer to:
brainly.com/question/20286983
#SPJ13
PLEASE HELP MEEEE!! ILL GIVE BRIANLIEST!!
Answers
Unit rate for the given expression 625 ft² in 2/3 hours is equal to
975ft² /hour.
As given in the question,
Given expression :
650 ft² in 2/3 hours
Unit rate for the given expression 625 ft² in 2/3 hours is equal to
In 2 /3 hours = 650 ft²
Simplify the given expression for the unit rate
1 hour = 650 / 2 / 3 ft² / hour
Multiply 650 to 3 and divide it by 2 we get,
1 hour = ( 650× 3 ) / 2 ft² / hour
⇒ 1 hour = 1950 / 2 ft² / hour
⇒ 1 hour = 975 ft²/hour
Therefore, unit rate for the given expression 625 ft² in 2/3 hours is equal to 975ft² /hour.
Learn more about unit rate here
brainly.com/question/11258929
#SPJ1
Solve 7x 8 = 3x
x = …
please
Answers
x=-2 or x=2
what would happen if you divide 8/5 instead of 4/5
Answers
Answer:
The value would double
Step-by-step explanation:
4/5 is half of 8/5
Answer:
4/5 is half of 8/5 so it got doubled
What number does T2,580 represent WHEN T = 1?
Looking for right Answer
Answers
If T = 1, then the number T2580 represents 2580 as the right answer. This is the basic rules of linear equation.
What is linear equation?The first order of equations are linear equations. For lines in the coordinate system, linear equations are defined. It is referred to as a linear equation in one variable when the equation contains a homogeneous variable of degree 1 (i.e., only one variable).
There may be multiple variables in a linear equation. Linear equations in two variables, and so forth, are what the equation is known as if it contains two variables. 2x-3=0, 2y=8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are a few examples of linear equations.
The three forms of linear equations are
Standard FormSlope Intercept FormPoint Slope FormLearn more about linear equation
https://brainly.com/question/12788590
#SPJ9
Please help ASAP!! This is overdue!
Answers
The equation of each line is labelled as shown in the image attached below, where:
y = 2x + 7 is line b
x + 5y = 10 is line d.
x + y = -9 is line f.
y = x is line c.
x = -5 is line a.
y = -5 is line e.
What is the Equation of a Line?The equation of a line can be rewritten as y = mx + b, if the line has a slope of m and a y-intercept of b.
For vertical lines, the equation is written as x = b, where b is where the line cuts across the x-axis.
For horizontal lines, the equation is written as y = b, where b is the point on the y-axis the line intercepts.
The equation y = 2x + 7 is a line that has a slope of 2 and a y-intercept of 7. This line is labelled as line b in the image below.
x + 5y = 10 is rewritten as y = -1/5x + 2. The slope is 1/5 and the y-intercept is 2. This equation is labelled as line d.
x + y = -9 is rewritten as y = -x - 9. The slope is -1 and the y-intercept is -9. It is represented by the line labelled line f.
y = x has a slope of 1 and passes through the origin, (0, 0). It is labelled as line c.
x = -5 is the vertical line that is labelled as line a.
y = -5 is the horizontal line that is labeled as line e.
See image below.
Learn more about equation of a line on:
https://brainly.com/question/13763238
#SPJ1
need help 9th grade math
Answers
The slope-intercept form for this linear function is y = 8x + 47.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
From the linear function, we have:
Points on x-axis = (-3, 2).
Points on y-axis = (23, -17).
Substituting the given points into the formula, we have;
Slope, m = (-17 - 23)/(2 + 3)
Slope, m = -40/5
Slope, m = -8
Mathematically, the slope-intercept form of a straight line is given by;
y = mx + c
Where:
x and y are the points.m represents the slope.c represents the intercept.At point (-3, 23), we have:
y = mx + c
23 = 8(-3) + c
23 = -24 + c
c = 23 + 24
c = 47
Therefore, the slope-intercept form is as follows:
y = mx + c
y = 8x + 47
Read more on slope-intercept form here: brainly.com/question/1884491
#SPJ1
Help me with this rq, I’ll mark you brainlyiest
Answers
Answer: Hi this is neither.
Darell and edmond are training for a marathon. darell runs 4 kilometers at a time while edmond prefers to run in blocks of 8 kilometers. at the end of a month, they realize that they have run same total number of kilometers. what is the smallest number of kilometers that each must have run?
Answers
We are trying to find the Least Common Multiple. This is a number that both 4 and 8 can be multiplied by a whole number to achieve, more specifically, the minimum of that list of numbers. This one is really simple. Since 8 is a multiple of 4 (4 x 2 = 8), the LCM is 8! (8 is also a multiple of 8 because 8 x 1 = 8).
So the answer is 8.