Answers
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-5}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
the line crosses the y- axis at (0, 5 ) ⇒ b = 5
y = - [tex]\frac{5}{4}[/tex] x + 5 ← equation of line
Related Questions
write y=2/5+1 in standard form
Answers
Answer: Because the standard form is y=mx+b, and you are already in that form
Step-by-step explanation: y=mx + b is the standard form!
y=2/5x+1 is already in standard form if you compare 2 equations!
The function g(x) = f(x – 7) + 3. Which of the following is true about the graph of g(x)
the graph of g(x) is shifted 7 units to the right and 3 units below the graph of f(x).
The graph of g(x) is shifted 7 units to the left and 3 units below the graph of f(x).
The graph of g(x) is shifted 7 units to the right and 3 units above the graph of f(x).
The graph of g(x) is shifted 7 units to the left and 3 units above the graph of f(x).
Answers
Answer:
Step-by-step explanation:
the graph of g(x) is shifted 7 units to the right and 3 units below the graph of f(x).
The graph of g(x) is shifted 7 units to the left and 3 units below the graph of f(x).
The graph of g(x) is shifted
7 units to the right and 3 units above the graph of f(x).
The graph of g(x) is shifted 7 units to the left and 3 units above the graph of f(x)
How can you use the point-slope form of a line when only given two points?
Answers
Answer:
YEEAH bro its called a graph you should try it
Step-by-step explanation:
please help meeeee!!!!
Answers
Answer:
(-8(-4) + 3) - 7 = 32
Step-by-step explanation:
-8 * -4 = 8 * 4 = 36
36 + 3 = 39
39 - 7 = 32
Triangle ABC is rotated 180° clockwise about the origin
and dilated by a scale factor of 4. What are the
coordinates of the resulting image if the preimage
coordinate of point A is (3,-2)?
1) (-12,-8)
2) (12,-8)
3) (8,12)
4) (-12,8)
Answers
Follow the instructions for the following inequalities.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answers
The value of the inequality equations are
a) 5040 < 8820
b) 15 > 2
c) -20 < -18
d) -1 < 1
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be A
a)
4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
The inequality equation is A
The value of A is 4 < 7
Multiplying both sides by 7 , we get
28 < 49
Multiplying both sides by 6 , we get
168 < 294
Multiplying both sides by 3 , we get
504 < 882
Multiplying both sides by 10 , we get
5040 < 8820
Therefore , the inequality equation remains the same.
b)
11>-2 Add 5 to both sides, then add 3, then add (-4)
The inequality equation is A
The value of A is 11 > -2
Adding 5 on both sides , we get
16 > 3
Adding 3 on both sides , we get
19 > 6
Adding -4 on both sides , we get
15 > 2
Therefore , the inequality equation remains the same.
c)
-4<-2 Subtract 6 from both sides, then 8, and then 2
The inequality equation is A
The value of A is -4 < -2
Subtracting 6 on both sides , we get
-10 < -8
Subtracting 8 on both sides , we get
-18 < -16
Subtracting 2 on both sides , we get
-20 < -18
Therefore , the inequality equation remains the same.
d)
-8<8 Divide both sides by -4, then by -2
The inequality equation is A
The value of A is -8 < 8
Dividing both sides by -4 , we get
2 > -2
The sign of the inequality relation changes when multiplying or dividing by a negative number
Now , dividing by -2 on both sides , we get
-1 < 1
So , The sign of the inequality relation changes when multiplying or dividing by a negative number
Therefore , the inequality equation first changes and reverts back to the original relation
Hence , the value of the inequality relations are
a) 5040 < 8820
b) 15 > 2
c) -20 < -18
d) -1 < 1
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Need help with this ASAP, this is my last class and I need to finish it by Today
Answers
640 = 1/3(3.14)(r^2)(12)
640 = 1.05(r^2)(12)
640 = (12.6)(r^2)
divide 12.6 on both sides
50.79 = r^2
square root on both sides because r is squared
7.13 = r
so the answer is 7.13
kendra rides her bike to school each day. it takes her 10 minutes to ride 30 blocks. what unit rate expresses the speed of kendra's bike ride? 2 block
Answers
The unite rate of the kendra's bike ride is found as 3 blocks / min.
Explain the meaning of the term unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with the number one as the denominator. A particular kind of ratio is a unit rate (or called a single-unit rate). One unit of one quantity will be compared to an unique number of units of another quantity.The given question is-
Total blocks covered = 30.Total time taken = 10 minutesUnit rate = number of blocks/ total time
Unit rate = 30 / 10
Unit rate = 3 blocks / min
Thus, the unit rate of the kendra's bike ride is found as 3 blocks / min.
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please help me I'm not smart !!
Answers
The correct response is option 3 i.e n = 6.
What is a Sequence?
A sequence is a list of items arranged in a stepwise order, with members coming either before or after.
We know that,
aₙ = a₁ + (n-1)×d .............................(Arithmetic sequence formulae)
here,
aₙ = -13
a₁ = 7
d = -4
Substituting the values we get,
-13 = 7 + (n-1)×(-4)
∵ (-4)×(n-1) = -20
=> n-1 = 5
=> n = 6
Thus, the final value of n is 6.
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help plase guys please
Answers
Step-by-step explanation:
52×7 = 50×7 + 2×7
why?
because 52 = 50 + 2
so,
52×7 = (50 + 2)×7 = 50×7 + 2×7
Answer
The third option 52 x 7 = 50 x 7 + 2 x 7
Step-by-step explanation:
First of 52 x 7 = 364, so whichever other equation is equal to 364 is the correct option
50 x 7 + 2 x 7
350 + 2 x 7
350 + 14
= 364
PLEASE HELPPPPPPPPPPPPPP ME ISTG I AM DYING
Answers
The solutions of the equation are given as,
1. 7, 2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
Given that,
A number of equations are given we have to determine the solution of the equaiton,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here
1) 3x + 4 = 25
simplify,
3x + 4 = 25
3x = 25 - 4
x = 21 / 3
x = 7
Similarly, the Solution of the other equation is given as,
2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
Thus, the solutions of the equation are given as,
1. 7, 2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
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A square table has a perimeter of (16x-40) feet. Write an expression that represents the side length of the table in feet
Answers
Answer:
4x -10
Step-by-step explanation:
You want the side length of a square whose perimeter is (16x -40) feet.
PerimeterThe four sides of a square are all the same length. The perimeter is the sum of those lengths, so is 4 times the side length. Conversely, the side length is 1/4 of the perimeter.
s = P/4 = (16x -40)/4
s = 4x -10
The side length of the square table is 4x -10 feet.
There are 35 questions total that will be posted in mathematics as this is Algebra I!
Whoever answers correctly and with an explanation will receive Brainliest when the option shows up on my end!
PLEASE ANSWER ASAP!!
Answers
Answer:
the answer will be the option b
hope this helps you
What is the concentration of h ions at a ph = 2? mol/l what is the concentration of h ions at a ph = 6? mol/l how many more h ions are there in a solution at a ph = 2 than in a solution at a ph = 6?
Answers
The concentration of H+ ions at a pH = 2 is 10⁻² mol/L
Theconcentration of H+ ions at a pH = 6 is 10⁻⁶ mol/L
And there are 10,000 times more H⁺ ions in a solution of pH = 2 than that of pH = 6
In this question we have been given the pH of the solution.
We need to find the concentration of H+ ions in the given solution.
The H⁺ ion concentration can be calculated from pH values using the equation: pH = - log [H⁺]
at a pH = 2,
Using the above equation, 2 = - log [H⁺]
[H⁺] = 10⁻² mol/L
at a pH = 6,
Using the above equation, 6 = - log [H⁺]
[H⁺] = 10⁻⁶ mol/L
We need to find how many more h ions are there in a solution at a ph = 2 than in a solution at a ph = 6
Consider the ratio of [H⁺] for pH = 2 and pH = 6, we have
10⁻²/10⁻⁶ = 10⁴
Therefore, there are 10,000 times more H⁺ ions in a solution of pH = 2 than that of pH = 6
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1. two-column proof
Given: AB ≅ XY, AC ≅ XZ, BC ≅ YZ
Prove: ∆ABC ≅ ∆XYZ
Answers
The other information that must prove by the triangle is that ∠A ≅ ∠X.
How do you understand "ABC" and "DEF"?
The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. applying labels Triangle ABC is congruent to triangle DEF if, in triangles ABC and DEF, angle A = angle D, angle B = angle E, and angle AB = DE.
By SAS or Side-Angle-Side Postulate, the corresponding two sides and it's included angles should be congruent.
Therefore, based on the illustration, the included angle for ∆ABC is ∠A while the included angle for ∆XYZ is ∠X.
Therefore, the other information that must prove by the triangle is that ∠A ≅ ∠X.
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3. Park rangers have been recording the number of black bear cubs born in a national preserve over (1 point)
the past 100 years. According to the following table, what is the estimated probability that there
will be more than 100 black bear cubs born in any given year?
Number of Cubs Born in a Year
0-25
26-50
51-75
76-100
101-125
126-150
151-175
Frequency
3
6
18
32
24
10
7
A 59%
B 34%
C 24%
D 41%
Answers
The estimated probability that there will be more than 100 black bear cubs born in any given year is 41%. Option D. is the answer
How to determine the probability of more than 100 black bear cubs born in any given year?
Probability is the likelihood of a desired event happening.
Experimental probability is a probability that relies mainly on a series of experiments or past events
Given: from the table, the sum of the frequency for more than 100 cubs (i.e. 101-125, 126-150 and 151-175) is:
Sum of frequency of more than 100 = 24 + 10 + 7 = 41
Total frequency (for everything) = 100
Probability of more than 100 = 41/100 = 41%
Thus, the probability of more than 100 black bear cubs is 41%
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laura has saved her babysitting money for the past two weeks. currently has 5 time her weekly pay. this week she spent a less then 2 times her weekly pay and now has 156. how much does laura earn each week
Answers
Answer:
To find out how much Laura earns each week, you can set up an equation using the information given. Let's call Laura's weekly pay "W".
You know that Laura has saved 5 times her weekly pay, so you can write this as 5W.
You also know that she spent less than 2 times her weekly pay this week, so you can write this as 2W - X, where X is the amount that she spent less than 2 times her weekly pay.
Finally, you know that she has 156 left after spending some money, so you can write this as 156.
You can now set up the equation:
5W + (2W - X) = 156
Combining like terms, you get:
7W - X = 156
Adding X to both sides, you get:
7W = 156 + X
Dividing both sides by 7, you get:
W = (156 + X) / 7
Thus, Laura's weekly pay is equal to (156 + X) / 7. You know that she spent less than 2 times her weekly pay this week, so X must be less than 2W. However, you don't know the exact value of X, so you can't find the exact value of Laura's weekly pay.
:
If laura has saved her babysitting money for the past two weeks then Laura earns 52 dollars per week.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let Laura earns x dollars per week.
According to the problem, after two weeks of saving, she has 5 times her weekly pay, which means she has saved 5x dollars.
This week, she spent less than 2 times her weekly pay, which means she spent less than 2x dollars.
Now, she has 156 dollars left, so we can set up the equation:
5x - 2x = 156
Simplifying this equation, we get:
3x= 156
Divide both sides by 3
x = 52
Hence, Laura earns 52 dollars per week.
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if john paints at the rate of h houses per month how many houses does he paint in m months, in terms of h and m
Answers
Answer:
h x m=hm
Step-by-step explanation:
on my test
Diameter of cylinder A is 7 cm, and the height is
14 cm. Diameter of cylinder B is 14 cm and height
is 7 cm. Then find the ratio between their volume
Answers
The ratio of volumes of Cylinder A to Cylinder B is 1 : 2
What is a Cylinder?
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be = A
Let the volume of the second cylinder be = B
Now,
The diameter of first cylinder = 7 cm
Radius of the first cylinder r = 7/2 = 3.5 cm
Height of the first cylinder h = 14 cm
And ,
The diameter of second cylinder = 14 cm
Radius of the second cylinder R = 14/2 = 7 cm
Height of the second cylinder H = 7 cm
To find the ratio between the volumes of both cylinders
Volume of Cylinder A = πr²h
Substituting the values in the equation , we get
Volume of Cylinder A = π x ( 3.5 ) x ( 3.5 ) x ( 14 )
Volume of Cylinder B = πR²H
Substituting the values in the equation , we get
Volume of Cylinder B = π x ( 7 ) x ( 7 ) x ( 7 )
The ratio between volumes of A and B is given by = Volume of Cylinder A / Volume of Cylinder B
So , the ratio is
Volume of Cylinder A / Volume of Cylinder B = π x ( 3.5 ) x ( 3.5 ) x ( 14 ) / π x ( 7 ) x ( 7 ) x ( 7 )
On simplifying the equation , we get
Volume of Cylinder A / Volume of Cylinder B = 2/4
Therefore , the ratio is
Volume of Cylinder A / Volume of Cylinder B = 1 : 2
Hence , The ratio of volumes of Cylinder A to Cylinder B is 1 : 2
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Can someone Please help me
Answers
Answer:
B. none of other works. Only hue rate of change of Function F is higher than Function G
A googol is the number 1 followed by 100 zeros. Earths mass is 5.972 x 10 to the 24 power kilograms. How many earths are needed to have a total mass of 1 googol kilograms?
Answers
To have a total mass of 1 googol kilograms, 1.674480911 × 10 ⁷⁵ earths are needed
How to determine how many earths are needed to have a total mass of 1 googol kilograms?
Given that:
1 googol = 10¹⁰⁰
Earth's mass is 5.972×10²⁴ kilograms
In order to find how many earths are needed to have a total mass of 1 googol kilograms, you need to divide 1 googol kilograms by Earth's mass (5.972×10²⁴ kilograms). Thus:
Number of earths needed = 10¹⁰⁰ / 5.972×10²⁴
Number of earths needed = 1.674480911 × 10 ⁷⁵ earths
Therefore, 1.674480911 × 10 ⁷⁵ earths are needed to have a total mass of 1 googol kilograms
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Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2y + 5x = 13
2y-3x = 5
Answers
Answer:
Step-by-step explanation:
To solve the system of equations 2y + 5x = 13 and 2y-3x = 5 using the substitution method, you can follow these steps:
Begin by solving one of the equations for one of the variables. For example, you could solve the first equation for y:
2y + 5x = 13
2y = 13 - 5x
y = (13 - 5x) / 2
Substitute the expression for y into the second equation and solve for x:
2((13 - 5x) / 2) - 3x = 5
13 - 5x - 3x = 5
-8x = -8
x = 1
Substitute the value of x into the expression for y to find the value of y:
y = (13 - 5(1)) / 2
y = (13 - 5) / 2
y = 8 / 2
y = 4
The solution to the system of equations is (1,4).
Therefore, the correct ordered pair is (1,4).
If a 2b - 10 and b= 3a -5, then what is a?
Answers
Answer:
a=4
Step-by-step explanation:
we fill in b to find a
a=2(3a-5)-10
a=6a-10-10
a=6a-20
+20 +20
a+20=6a
-a. -a
20=5a
/5. /5
4=a
hopes this helps
Yancy rents a car for $20 per day plus 12 cents per mile. He had the car for one day and was charged $63.68.
Answers
Answer:
he drove 30 miles
Step-by-step explanation:
you have paint with a voc content of 0.45 pounds per gallon. the density of the paint is 9 pounds per gallon. what is the weight percentage of voc in the paint?
Answers
the weight percentage of VOC content in the paint would be 4.05 pounds / 9 pounds x 100 = 45%.
What is percentage?A percent of a whole is referred to as a percentage. By dividing the portion by the entire and multiplying the result by 100, it is computed and denoted by the sign "%". For instance, if a book contains 100 pages and you have read 50 of them, you have read 50% of the book. In several disciplines, including finance, statistics, and mathematics, percentage is often utilized. To figure out interest rates, taxes, and discounts in finance, we employ percentages. In statistics, percentages are used to represent data that takes the form of proportions or ratios. In mathematics, questions involving proportions and ratios are solved using percentage.
How to solve?
the total weight of VOC in the paint would be 0.45 pounds x 9 pounds per gallon = 4.05 pounds.
the weight percentage of VOC in the paint would be 4.05 pounds / 9 pounds x 100 = 45%.
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Which inequality does the graph represent?
y>x-2
y
y > -X-2
y<-x-2
Answers
Inequality (A) "y > x-2 represents the given graph when the line passes to 2 and -2 from the x-axis and y;-axis respectively.
What are graphs?In discrete mathematics, more specifically in graph theory, a graph is a structure that resembles a collection of objects where some object pairs are conceptually "connected."
Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
To calculate the slope m and the y-intercept, write the equation y = MX + b.
The slope and y-intercept can then be used to graph the equation (0, b).
So, to find which inequality represents the given graph, simply plot the inequalities on the graph.
After plotting, we can conclude that inequality "y > x-2" represents the graph shown in the question.
(Refer to the image attached below)
Therefore, inequality (A) "y > x-2 represents the given graph when the line passes to 2 and -2 from the x-axis and y'-axis respectively.
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Complete question:
Which inequality does the graph represent?
a. y > x-2
b. y > -X-2
c. y <-x-2
d. y <x-2
When Jas is solving the system of equations of {y=3x-3 2x+2y=8,she graphs the system and her result is shown below and identifies the solution to be (2.75,5.25).Did Jas graph and find the solution correctly? If not, what was her mistake?
Answers
Jas is incorrect, and that may be because she graphed incorrectly one of the functions.
The correct solution for the system is: (1.75, 2.25)
Did Jas graph and find the solution correctly?To solve a system of equations graphically, we need to graph the two equations on the same coordinate axis and find the points where the two graphs intercept.
Here the system of equations is:
y = 3x -3
2x + 2y = 8
The graph is below. There we can see that the intercept is at (1.75, 2.25)
So Jas got an incorrect answer, and that may be because she graphed incorrectly one or both of the equations.
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If a figure i dilated by a cale factor of 10, the area of the figure will change by a factor of how much?
Answers
If a figure is dilated by a scale factor of 10, the area of the figure will change by a factor of 100.
What is meant by the term area?The size of a two-dimensional form or a region in a plane is described by the mathematical notion of area. Square units like square inches, square feet, or square metres are frequently used figure to measure it. The total space a form takes up in a plane is known as its area. The length and breadth of the shape may be multiplied to compute it, or intricate forms like circles, triangles, formulae can be used. Finding the dimensions of a form, calculating area ofcircle or rectangle, or area of three-dimensional object are just a few of the many issues that may be solved using the geometry concept of area.
How to solve?
If a figure is dilated by a scale factor of 10, its area will change by a factor of 100.
When a figure is dilated, its area changes by the square of the scale factor. In this case, the scale factor is 10, so the area will change by a factor of 10^2 = 100.
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I need to find out what’s given and what’s the reasoning for this statement
Answers
2. is definition of right triangles
3. is given (2nd use)
4. is def of mid point
5. is given (3rd use)
6. is HL
First try was incorrect
What is the value of x? Your answer may be exact or rounded to the
nearest tenth.
(4x-8)"
131*
61"
Answers
Answer: 19.5
Step-by-step explanation:
obtuse + acute = 180
131 + t = 180
t = 49 degrees for the top angle
49 + 61 + 4x-8 = 180 degrees in a triangle
110 + 4x - 8 = 180
102 + 4x = 180
4x = 78
x = 19.5
Answer:
x = 19.5
Step-by-step explanation:
The interior angles of a triangle will ALWAYS have a sum of 180°