Answer:
Slope = 5
Step-by-step explanation:
Standard slope intercept form: y = mx + b
where m = slope of the function
so m = 5
Hope this helps!
18. Write the equation of the following line in function notation
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
How to solve quadratic inequalities.
Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...
Plot those numbers on the number line as open or closed points based upon the original inequality symbol.
Choose a test value in each interval to see if the interval satisfies the inequality or not.
Answer these question
c = 1 > 7 =
According to very reliable sources.
You can buy a seat cushion at the College Softball World Series for $4. They
paid $2.50 to have them made, and they make a profit of $300 when sold out.
How many seat cushions did they have made?
Answer:
$118.40
2.50x Plus 4 Equal 300
2.50x Equal 296
2.50x/2.50 Equal $118.40
PLEASE TELL ME IF I AM WRONG!Describe the signs (positive/negative) of the coordinate in each of the regions shown below. Then give one point contained within each region.
Answer:
A = positive
B = positive, negative
C = negative
D = positive, negative
Answer:
A Positive coordinates (5,5) B Negative and Positive coordinates (-5,5) C Negative coordinates (-5,-5) D Negative and Positive coordinates (5,-5)
Step-by-step explanation:
Pls mark brianlist hope this helps .
you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price
g = 64.99 - 4.98
Step-by-step explanation:
If g is the original price then if you subtract the difference between the original price and the current price.
The fastest train on earth is Maglev, a Japanese train which runs at a
maximum speed of 602 Km/h. Convert and express it’s speed into m/s.
Answer:
167.2 m/sec
Step-by-step explanation:
Convert 602 km/hr to m/sec, as follows:
602 km 1000 m
------------ * ----------------- = 602,000 m/hr
hr 1 km
Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:
602,000 m 1 hr
------------------ * ---------------- = 167.2 m/sec
1 hr 3600 sec
What is the cost to make one flag?
Answer:
$1.75
Step-by-step explanation:
3.5*2.5=(8.75)/2=4.375*0.4=1.75 dollars
What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer
Answer:
15
Step-by-step explanation:
it's where you start. where your going to start you slope on the graph which means that the x would be 0
The second rate superhero and is Arch Enemy Melvin the minor menace started 700 miles apart and fleet street toward each other in their jet propulsion packs it took 5 hours for the two to meet if the superheroes speed was 10 mph slower than a minute what was the menaces speed
Answer:75 mph
Step-by-step explanation:
Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?
Please help with this dilation!
Answer:
I think it is 15 ..............
Hurry Yes Please Help I am handing A Brainlist
[tex]y \geqslant - x + 3[/tex]
[tex]y < \frac{1}{2} x + 3 \\ [/tex]
now just put the coordinates of point ( 1 , 1 ) in the above inequalities and check if they correct or wrong :
[tex]1 \geqslant - 1 + 3[/tex]
[tex]1 < \frac{1}{2} (1) + 3 \\ [/tex]
So :
[tex]1 \geqslant 2[/tex]
[tex]1 < 3.5[/tex]
1 is lower than 3.5 of course but geuss what ?
Is 1 higher than 2 or equal to 2 ? Nope not at all
Thus the correct answer would be :
" no , it is not a solution "
(100 Points) (Marking as Brainiest)
Chris has a goal to get through at least 14 books by the end of the year. It takes him 4 hours to listen to one as an audiobook and it takes him 12 hours to read one on paper. He has at most 120 hours that he can spend on books. He wants to complete at least two audio books and at least four paper books. Write 4 inequalities that represent this situation. Let x be the number of audio books and y be the number of paper books.
Answer:
See belowStep-by-step explanation:
Audio book - x, time to listen one - 4 hoursPaper book - y, time to read one - 12 hoursInequalities
Chris has a goal to get through at least 14 books:
x + y ≥ 14He has at most 120 hours that he can spend on books:
4x + 12y ≤ 120He wants to complete at least 2 audio books and at least 4 paper books:
x ≥ 2y ≥ 41D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?
The least prime greater than 17 that is the sum of four different prime numbers is 23
The least prime that is the sum of four different prime numbers is 17
That is, 17 = 2 + 3 + 5 + 7
Prime numbers greater than 17 are 23, 29, 31. 37, 41,........
Prime numbers less than 17 are 2, 3, 5, 7, 11, 13
How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17
The only possible combination is:
2 + 3 + 7 + 11 = 23
Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23
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(6-4x+2u)(-8) use distributive property to remove parenthesis
Answer:
-16u+32x−48
Step-by-step explanation:
(6-4x+2u)(-8)
Rearrange terms.
(2u-4x+6)(-8)
Re-order terms so constants are on the left.
-8(2u-4x+6)
Distribute.
-16u+32x−48
Hope this helps :)
If 2/15 is 40 then 1/15 is?
(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)
Answer:
20
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] = 40
[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]
40 ÷ [tex]\frac{2}{1}[/tex] = 20
FOR A BRAINLST PLS BE ACCURATE
Answer:
the answer is the third
hope it help
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 how much mac and cheese could abdulla buy with $20?
Answer:
8 pounds
Step-by-step explanation:
"purchased 3 pounds of mac and cheese for $7.50"
You would make this into an equation to figure out the price of one pound of mac and cheese (x):
7.50=3x
x=2.5
Next, you can create an equation to represent the price per pound.
Total price = 2.5(number of pounds)
Now, plug in the information you have:
20 = 2.5x
8=x
A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?
Answer:
my answer is 3:5
Step-by-step explanation:
sana makatulong yan
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
Simplify 5 x a 5 x a
Answer:
(5)2 x (a)2
Step-by-step explanation:
Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.
A graph representing a proportional relationship goes through the origin:
Question 2 options:
Always
Sometimes
Never
When it feels like it
The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).
Recall:
A proportional relationship graph represents a relation between two variables that are directly proportional to each other.In a proportional graph, the constant of proportionality, k, remains the same.The graph attached below shows a proportional graph between time and water used.In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.
Therefore, the graph representing a proportional relationship ALWAYS goes through the origin (0, 0).Learn more about proportional relationship on:
https://brainly.com/question/15618632
Solve for q
a-q=a+sx
Answer: q = -sx
Step-by-step explanation:
Which expression best estimates 6 3/4 divided by 1 2/3
A 7 divided by 2
B 6 divided by 1
C 8 divided by 3
D 3 divided by 2
Answer:
B is my answer si no sorry
find the measure of each numbered angle
Answer:
1= 70
2=110
3=46
4= 102
5= 37
Step-by-step explanation:
HELP!!
Formula
Y=___x +___
Answer:
look at the slope rise of 2 run of -1 or other way around so slope is
[tex] y = - \frac{2}{1}x + 5[/tex]
what is the equation of line that passes through(-6,-3) and is parrelel to the line 5x-3y=9
Answer:
y+3=5/3(x+6)
Step-by-step explanation:
Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.
5x-3y=9
5x=9+3y
5x-9=3y
y=5/3x-3, and the slope would be 5/3.
Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.
y+3=5/3(x+6)
Answer: [tex]\frac{5}{3}[/tex]x + 7
Step-by-step explanation:
A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, find the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work.
The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
[tex]\mathrm{The \ motion \ of \ the \ mass \ attached \ to \ the \ spring \ is \ }\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]Reasons:
The general form of the equation of the simple harmonic motion of the
mass is d = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
[tex]\displaystyle \omega = \mathbf{\frac{2 \cdot \pi}{T}}[/tex]
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
[tex]\displaystyle \omega = \frac{2 \cdot \pi}{4} = \frac{\pi}{2}[/tex]
Combining the above values gives the modelling equation as follows;
[tex]\displaystyle d = 6 \cdot sin\left(\frac{\pi}{2} \cdot t \right)[/tex]
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Simplify the following expression.
11/100 divided by 11/20