Slopes, and y-Intercepts: Mastery Test
Here's a graph of a linear function. Write the
equation that describes that function.
8
Express it in slope-intercept form.
6
Enter the correct answer.
OOO
DONE
Clear all
+1?
-8
-6
6
8
6
Answers
Since m/slope = 2/3 and b/y-intercept = -1, the equation would be:
y = 2/3x - 1
hope this helps !!
A line is a one-dimensional shape that is straight. The equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given line goes through two points, (0, -2) and (6, 3). Therefore, the slope of the given line can be calculated as,
Slope, m = (-2 - 3)/(0 - 6) = -5 / -6 = 5/6
Further, it can be seen that the line intersects the y-axis of the graph at (0, -2), therefore, the y-intercept of the given line is -2.
Since the equation of a line in slope intercept form is written as y=mx+c. Therefore, substituting the slope and the y-intercept in the equation.
y=mx+c
y=(5/6)x -2
Thus, the equation of the given line in slope-intercept form can be written as y=(5/6)x -2.
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Related Questions
help me with this:((((
Answers
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
(c)
The table shows the opening times of the wildlife park.
Opening times
Days
Monday to Friday
Saturday and Sunday
0930 to 1715
1000 to 18 30
(i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday.
h
(ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one ye
Answers
Based on the information given in the table, the opening hours on Wednesday and throughout the year is 7 hours , 45 minutes and 845 hours respectively.
Opening times ::
Monday to Friday : 09:30 - 17:15 Saturday and Sunday : 10:00 - 18:30Opening duration on Wednesdays :
Closing time - Opening time on weekdays :
17:15 - 09:30 = 7 hours, 45 minutes
Opening duration in a while year :
Opening duration on weekdays per week = 7 hours 45 minutes
Opening duration on weekends per week = 8 hours 30 minutes
Total opening duration per Week :
(weekday + weekend)(7 hours 45 minutes + 8 hours 30 minutes) = 16 hours 15 minutes
Number of weeks per year = 52
Total opening time per year :
(16 hours 15 Minutes) × 52 = 845 hoursTherefore, the park opens for a total of 845 hours per year.
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The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building?
Answers
The height of the wall of the building is 13.067 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-
Applying the Pythagorean theorem to calculate the height of the building.
H² = P² + B²
14² = P² + 5²
P² = 14² - 5²
P = √171 = 13.07 feet
Therefore, the height of the wall of the building is 13.067 feet.
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What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
Answers
I will assume you meant y = 2x + 13
Answer: y = 2x - 20
What is the equivalent ratio to 7 : 20
Answers
Answer:
14:40
Step-by-step explanation:
find the LCM of 30,42,60
Answers
Answer:
420
Step-by-step explanation:
hope it helps
-thank you
Answer:
420
Step-by-step explanation:
hey there!
multiple of 30=2*3*5
multiple of 42=2*3*7
multiple of 60=2*3*3*5
common factors=2*3*5
other factors=7*2
multiplying common factors and other factors we get;
the required answer as 420
hope it helps!!!
Giving brainliest, 50 points (answer both questions with solutions)
Answers
Answer:
See belowStep-by-step explanation:
#6[tex](3x^3)^2*(2x)^3=3^2x^{3*2}*2^3x^3=9*8*x^6x^3=72x^{6+3}=72x^9[/tex]#7[tex](x^4y^{-7}/x^{-2}y^4)^2=(x^{4+2}y^{-7-4})^2=(x^6y^{-11})^2=x^{12}y^{-22}=x^{12}/y^{22}[/tex]What is the value of the 3 in this number?
is the value of this number.
Answers
Answer:
3?
Step-by-step explanation:
what is 15+3(2x-4)-4x can you help please
Answers
Answer:
2x+3
Step-by-step explanation:
PLZZZ HELP URGENTLY ASAP ON THESE I NEED THIS NOW
Answers
Answer:
coordinates:
1.) (-2,-7)(-1,-6)(0,-5)(1,-4)(2,-3)
2.)(-6,-11)(-4,-8)(0,-2)(4,4)(6,7)
Step-by-step explanation:
I can't help with the graphingplz help with 10-11 if you don’t mind
Answers
Properties used:
All angles of a triangle add up to 180 degrees
180 is a straight line; so both sides of a straight line add up to 180
10) 180 - 153 = 27
180-27-133 = ?
? = 20 degrees
11) 180-87=93
180-93-23=?
? = 64 degrees
Answer:
11.) Angle FED = 20 Degrees | 12.) Angle FHG=74
Step-by-step explanation:
11.) Angle FED= 20 degrees
one side of a straight line = 180 degrees
all the angles of the insides of a triangle added together = 180 degrees
If angle EDF is 153 degrees, we do 180 - 153 = 27 degrees. Now we know that angle FDE = 27 degrees. Now we add all the angles we have together. 133+?+27=180. (133+27=160) If 160+?=180, we solve it by doing: 180-160, and we get 20.
12.) Angle FHG=74
For this problem, we use the same formulas as before. So let's solve!
180-87=93. So angle GFH=83 degrees.
Now we need to add the angles together:
83+23+?=180. 83+23=106
180-106=74.
----------------------------------------------------------------------------------------------
If you like this answer, please click 5 stars and give me brainliest!! Tysm!! (I'm trying to level up)
4. Identify the graph of the solution set of 9 > 3 + 2x.
Answers
Answer:
A
Step-by-step explanation:
9 > 3 + 2x
6 > 2x
3 > x
or
x < 3
and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.
The graph of the solution set [tex]9 > 3 + 2x[/tex] is represented by the inequality relation x < 3.
The correct answer is Option A.
Given data:
The inequality is represented as 9 > 3 + 2x
The solution set of the inequality 9 > 3 + 2x can be found by isolating x on one side of the inequality:
Subtract 3 from both sides: 9 - 3 > 2x
Simplify: 6 > 2x
Divide both sides by 2: 3 > x
So, the solution set is x < 3.
Graphically, this represents all the values of x that are to the left of (less than) 3 on the number line. It forms an open interval to the left of 3. The graph consists of all real numbers less than 3, not including 3 itself. In interval notation, this can be written as (-∞, 3).
Hence, the inequality is x < 3.
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Anybody help with the question, please?
Write the equation for a parabola translated horizontally 5 units to the left.
Answers
Ulysses wants to find the area of the trapezoid shown. Complete the table to show how Ulysses could divide a trapezoid into simpler figures to find its area.
Answers
The answer is attached below
always, sometimes, or never true?
Answers
Answer:
Sometimes true, because x could be anything
Step-by-step explanation:
1
Select the correct answer.
What is the solution for t in the equation?
It - t = 2
=
.
t =
7
30
A. B.
t
11
O C.
t = 6
OD.
30
Answers
Solve the equation and state whether the equation has one solution, no solution, or is an identity.
2a + 2 = 3 (a + 2)
Answers
Answer:
The equation has “one solution” because a = -4
Step-by-step explanation:
2a + 2 = 3 (a + 2)
2a + 2 = 3a + 6
-2 -2
----------------------
2a = 3a + 4
-3a -3a
----------------------
-1a = 4
/-1 /-1
----------------------
a = -4
The equation has a solution which is a = -4 this means that there is "one solution".
Answer:
The equation has “one solution” because a = -4
The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party. Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences.
Determine the number of tables by dividing [blank, it could be 754 or 6 ] by [754 or 6] If there is a remainder, the answer will need to be rounded [up or down] There [is or is not] a remainder, so [125, 126, or 130] tables are needed.
I'm sorry if it doesn't make sense. when there are the parenthesis those are the answer options btw! PLEASE ANSWER NO LINKS PLEASE
Answers
Answer:
Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.
Step-by-step explanation:
Please help. I struggle with geometry
Find the measures of angle 1 and angle 2. State the theorem or postulate that justifies your answer,
Answers
Answer:
Angle 2 = 55
Angle 1 = 125
Step-by-step explanation:
Considering the line vertical lines are parallel:
Angle 2 and angle with measure of 125 are supplementary and their sum is = 180
So m<2 = 180 - 125 = 55
For angle 1:
Again since the vertical lines are parallel:
Angle 1 and angle with given measure 125 are alternate and has same measurement.
Answer:
Angle 2= 55 degrees
angle 1= 125 degrees
Step-by-step explanation:
Angle 2 uses SA, 180-125=55
angle 1 is parallel to the 125 degree line
How do you determine the domain of a function ?
Answers
Answer:
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that
chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function
must be a real number, the following conditions are commonly checked:
1. Denominators cannot equal 0.
2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)
cannot have a negative value.
3. Logarithms can only be taken of positive values.
4. In word problems physical or other real-life restrictions might be imposed, e.g. time is
nonnegative, number of items is a nonnegative integer, etc.
Answer:
the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers
i hope this helps
What do you do in your free time? :D
Answers
Answer:
sleep most definitely worth it
Answer:
heyyy
Step-by-step explanation:
I eat and watch TV. i also like drawing, and math a lot so i do those things too. I also kinda like sudoku LOL
1.24 • 10 - 6 scientific notation
Answers
Answer: 0.00000124
Step-by-step explanation:
Answer:
the awnser is - 5.876
Step-by-step explanation:
i just did the test
Evaluate |bcl. given a = 5, b= -3, and c= -2.
O -6
O -5
O 5
O 6
Answers
Answer:
6
Step-by-step explanation:
(-3)(-2) is 6 because if you multiply two negatives it equals a positive, and the absolute value of 6 is 6.
Answer:
6
Step-by-step explanation:
abs(bc)=abs(-3*-2)=abs(6)=6
What is the length of the side of the triangle below?
200 cm
x cm
x cm
Answers
Step-by-step explanation:
options are wrong
this is wrong options
tge answer is underoot 200
How would the domain and range of the function
Y = (1/4)x - 6
be determined? Explain.
Answers
Answer:
Domain and range both [tex](-\infty, \infty)[/tex]
Step-by-step explanation:
The range is determined by finding the domain of the inverse of the function(if it has one, in this case it does). The domain is easily determined, because [tex]x[/tex] can obviously range from [tex](-\infty, \infty)[/tex] without restriction.
The inverse of the function can be found as such:
[tex]x=(1/4)f^{-1}(x)-6\\x+6=(1/4)f^{-1}(x)\\4(x+6)=f^{-1}(x)\\f^{-1}(x)=4x+24[/tex].
Here, [tex]x[/tex] can also range from [tex](-\infty, \infty)[/tex] without restriction.
So, the domain and range are both [tex]\boxed{(-\infty, \infty)}[/tex]
Please help!!!! I do not understand how to do this!! I’ll mark as Brainiest!!!!!!!!
Answers
Answer:
a c and e
Step-by-step explanation:
Their pet fish knew it wasn't right. He knew the Cat shouldn't do those things. The pet fish just knew there would be trouble. There was fish food all over the floor. They would have to buy more! Fish food costs $0.46. If Conrad gave the clerk $1, how much change would he get?
Answers
Answer:
0.54
Step-by-step explanation:
1-0.46 is 0.54
Yes.
HURRY!!!
what is the value of (-1/2) to the -4 power
Answers
Answer:
16
Step-by-step explanation:
One number is 7 more than another. If the sum of the two numbers is 165, find the two numbers.
The smaller number is
The larger number is 1
Answers
x+7+x=165
2x+7=165
2x+7-7=165-7
2x=158
2x÷2=158÷2
x=79
79+7+79=165
12 divided by 478 using compatible numbers and to find two estimates
Answers
Answer:
we get 48 if we divide both:)