Answers
Answer:
The slope of the line is -1
Step-by-step explanation:
Slope of a Line
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table in the image, we select the points (1,4) (3,2). The slope is:
[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]
Now select two other points like (5,0) (7,-2)
[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1
Related Questions
The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.
Answers
Answer: discrete
Step-by-step explanation:
The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.
Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
Answers
Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
Which one?
A or B?
Answers
Multiplying an even number of negative terms makes the product positive -4x-6 will be 4x6 so we multiply all of them to get the answer.
3x6x4x6= 432
The price of an item has risen to 297 today. Yesterday it was 110 . Find the percentage increase.
Answers
Answer:
170
Step-by-step explanation:
original value = 110
final value = 297
the increase is the difference between both values
increase = final value - original value = 297 - 110 = 187
percentage increase = (increase/original value)*100
= (187/110)*100
=170
Write the equation of the parabola in vertex form.
Vertex: (−3,7); Point: (−2,−5)
Answers
Answer:
y = - 12(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 3, 7 ), thus
y = a(x - (- 3))² + 7 , that is
y = a(x + 3)² + 7
To find a substitute (- 2, - 5) into the equation
- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )
- 12 = a(1)² = a
y = - 12(x + 3)² + 7 ← equation in vertex form
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answers
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
h(2)=-2²+6(2) the question has to be 20 characters long so I'm just adding this
Answers
Select all the equations that have the same solution as the equation 3x-12=24
Answers
Answer:
Select all the equations that have the same solution as the equation 3x-12=24
Step-by-step explanation:
Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)
Answers
Answer:
13
Step-by-step explanation:
12-4+5 = 13
Find the slope of the line. REMEMBER: Slopes must be simplified.
Answers
Answer: 2
Step-by-step explanation:
Answer:
ill help
Step-by-step explanation:
help mehhhhhhhhhhhhhhhhhhhhhhh ;(
Answers
Answer:
180 minutes in 3 hours 225 miles in 3 hours
Step-by-step explanation:
Find four numbers if their ratio is 9:11 and their difference is 6.
Answers
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
A scientist studied bacteria.
She placed 4 bacteria in a dish.
The population of bacteria triples every 12 hours
Which equation can be used to determine the number of bacteria, y, present after x days?
O y = 4(3)x
O y=4(6)x
O y = 4(3) 2x
O y = 4(6) 2x
Answers
Answer:
the answer to the question is A
An equation is formed of two equal expressions. The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Scientists placed 4 bacteria in a dish. The population of bacteria triples every 12 hours. Therefore, the equation that can be used to determine the number of bacteria, y, present after x days are:
y = 4(3)²ˣ
Hence, The equation can be used to determine the number of bacteria, y, present after x days is y = 4(3)²ˣ.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
the multiplicative inverse of 7-2 is
Answers
Answer:
8
Step-by-step explanation:
It
Answer:
The answer 1/5
Step-by-step explanation:
mark Brainliest
In her last two years in college, Marlene received $42,000 in loans. The first year, she received a loan that was $6,000 less than three times the amount of the second year's loan. Call the amount that Marlene received her first year f and the amount she received in her second year s.
Answers
Answer:
First year = 30000
Second year = 12000
Step-by-step explanation:
Given
[tex]Loan = \$42000[/tex]
Represent first year with f and second year with s.
So, we have:
[tex]s + f = 42000[/tex]
and
[tex]f = 3s - 6000[/tex]
Required
Solve for f and S
Substitute 3s - 6000 for f in the first equation.
[tex]s + f = 42000[/tex]
[tex]s + 3s - 6000 = 42000[/tex]
[tex]4s - 6000 = 42000[/tex]
Collect Like Terms
[tex]4s = 42000 + 6000[/tex]
[tex]4s = 48000[/tex]
Solve for s
[tex]s = 48000/4[/tex]
[tex]s = 12000[/tex]
Substitute 12000 for s in [tex]f = 3s - 6000[/tex]
[tex]f = 3 * 12000 - 6000[/tex]
[tex]f = 36000 - 6000[/tex]
[tex]f = 30000[/tex]
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answers
Answer:120 minutes.
Step-by-step explanation:
look, 12x8x5=480, and 480/4-120
Write an expression for the phrase -4 times the quantity 4 plus w
Answers
[tex]\bold{Explanation:}[/tex]
graph the following: y = -4x – 1.
Answers
This is a line portrayed in point-slope form.
First, put a point at (0, -1). This is your y-intercept.
Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).
Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).
Finally, draw a line connecting all your points.
Hello, I need an answer for this.
Answers
Answer:
3.19 x 10^6 kilometers
Step-by-step explanation:
If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta
Answers
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
3cotθ = 2 , then
3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]
= [tex]\frac{0}{2sin0+3cos0}[/tex]
= 0
Please help me I’m from Texas so I am stupid
Answers
Answer:
Given h(x) = -x + 2, find h(4).
Step-by-step explanation:
Answer:
Graph A
Step-by-step explanation:
Because the inequality is
[tex] \leqslant or \geqslant [/tex]
it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
Answers
I’m assuming you’re trying to find the line AB (basically the distance between point A and B). If that’s the case, since they both have the same x vale, subtract their y values. 14-3 gives you 11, which is the length of line AB
In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
Answers
400=9x
X=44.444 so about 44 people would not like the movie
2( y+2) = 6x-7
please help
Answers
Answer:
2y + 4 = 6x - 7
2y = 6x - 11
2y + 6x = -11
Answer:
2y+4=6x-7
take 4 from both sides
2y=6x-3
divide each side by 2
y=6x-3
please answer these honestly and take as much time as you need. ty.
Answers
Answer:
1) 17/20 2)24 and 1/2 3)terminating 4) 0.8 5)1.8
Step-by-step explanation:
4) 4/5 times both sides by 2 then you get 8/10= 0.8
Answer:
first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.
Step-by-step explanation:
hope this helps :)
BRAINLIST!!!!!!!!!
which one is a function???
Answers
Answer: C
i hope this helps
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answers
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
i need help with this
Answers
Answer:
1. x=9
2. x=2
3. x=6
Step-by-step explanation:
I only know 1-3 sorry, but hope this helps
IF f(x) = -3x – 2; FIND f(3)
Answers
Step-by-step explanation:
f(3) = -3(3)-2
=-9-2
=-11
Help me PLZ, I WILL GIVE ROBUX TO THE BEST ANSWER!
Answers
Answer:
GIVE ROBUX FIRST
Step-by-step explanation: