13. The table represents some points of a linear function.
X
-4
-2
-1
1
2
у
-2
-10
-14
-22
-26
Which equation represents the same relationship?
a.
y=-4x - 18
c.
y = 4x - 2
b. y=-4x-2
d. y - 4x - 18
Answers
Answer:
y=-4x-18
Step-by-step explanation:
To find the slope of the function, you need two points in order, the first point having its x and y coordinates labeled as x1 and y1, and the second point having its coordinates labeled as x2 and y2. then, use the equation for slope, which is m=(y2-y1)/(x2-x1), and plug in the numbers. You should get m=(-10+2)/(-2+4)= -8/2= -4.
Then, use the slope and a point on the graph, and plug it into point slope form, which is y-y1=m(x-x1). No matter what point you use, you should get the same thing. I used the point (-2, -4). Using this point, the steps to arrange the equation in slope intercept form is: y+2=-4(x+4)=> y+2=-4x-16 => y=-4x-18.
Related Questions
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall. By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec. How fast is the top of the ladder sliding down the wall?
Answers
Given :
A 13ft ladder is leaning against a wall when its base starts ti slide away from the wall.
By the time its base is 12 feet from the wall, the base is moving at the rate of 5ft/sec.
To Find :
How fast is the top of the ladder sliding down the wall.
Solution :
By, Pythagoras theorem, distance of ladder from horizontal to wall is 5 feet.
Now, [tex]x^2 + y^2 = 13^2[/tex]
Differentiating both sides, we get :
[tex]2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}=0\\\\(2\times 12\times 5) + (2\times 5 \times \dfrac{dy}{dt})=0\\\\\dfrac{dy}{dt}= -12 \ feet/sec[/tex]
Darien's kitten weighs 2.25 pounds. Her dog weighs 10 times the weight of the kitten. How much does her dog weigh?
Answers
Answer: 22.5 LBS (Or Pounds)
Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)
Answer:
22.5 pounds
Step-by-step explanation:
You multiply 10 by 2.25 to get your answer
You can just move the decimal to the right one decimal place since you're multiplying by 10
Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?
Please show your work!
Answers
Answer:
0.6
Step-by-step explanation:
10l|8w
6l`|?w`
6/10=0.6
0.6 x 8w = 4.8w
Scale factor = 0.6
Step-by-step explanation:
please delete this comment
What is the measure of B?
Answers
Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3
Answers
And other one 1/2
Like 80% sure:)
The system of equations represented by the graph are
y = 2x + 3 and y = (-1/2)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of one line on the graph.
y = mx + c
Select two coordinates from the line.
(0, 3) and (-3, -3)
m = (-3 - 3) / -3 = -6/-3 = 2
(0, 3) = (x, y)
3 = 0 + c
c = 3
The equation of the line is y = 2x + 3
The equation of the other line on the graph.
y = mx + c
Select two coordinates from the line.
(0, -3) and (2, -4)
m = (-4 + 3) / 2 = -1/2 = -1/2
(0, -3) = (x, y)
-3 = 0 + c
c = -3
The equation of the line is y = (-1/2)x - 3
Thus,
y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answers
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
If OB= 2x+1 and
BR = 3x-10 then OR=
Answers
So 2x + 1 (OB) + 3x -10 (BR) = OR
2x + 1 + 3x -10 = OR
(Simplify)
5x - 9 = OR
Write the quadratic equation in standard form: 5x^2+3=x
Answers
Answer:
5x² - x + 3 = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 ( a ≠ 0 )
Given
5x² + 3 = x ( subtract x from both sides )
5x² - x + 3 = 0 ← in standard form
Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *
A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s
Answers
Answer:
D) 3cm/s
Step-by-step explanation:
Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.
Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.
Therefore, the answer is D, 3cm/s.
Hope that helps!
PLS THIS IS TIMED! I WILL GIVE BRAINLIEST!!!!
Answers
Answer:
the answer is y= 5(0.25)^x or C
Step-by-step explanation:
The two trapezoids shown below are similar . What is the length of x?
Answers
mark me brainliest if the answer is correct, thank you in advance :)
Graph the line that passes through the points (3, -5) and (-1, -9) and determine
the equation of the line.
Answers
Answer:
the slope intercept equation for this line would be y = x - 8
Step-by-step explanation:
the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8
Answer:
y= x-8
Step-by-step explanation:
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.
Answers
Answer:
Range[4,24,44,64,84,104,124]
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs
20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in
pounds can be represented by f x( ) = 20x + 4.
What is the range of the function for this situation?
The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6
The given function is
f(x) = 20x + 4 =
f(0) = 20(0) + 4
= 4
f(6) = 20(6) + 4
= 124
Which means the range is within 4 and 124.
But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24
Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)
Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?
Answers
Answer:
terms 3
coefficients 2
constant is your 11
Step-by-step explanation:
One letter was selected at random from words SAN ANTONIO what is the probability that the selected letter was either an A or an N?
Answers
Answer:
the posibility for both of these answers are 5/10 or a 5 in ten chance that it would be a or n because in this there is 5 or these letters
Step-by-step explanation:
please help me with this question
Answers
Answer:
top right and bottom left
Step-by-step explanation:
im in precal and if i get this wrong i am so sorry
but im pretty sure those r what increasing graphs look like as the increase in a positive direction
hope this is correct and helps :)
Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
Answers
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos
Beckett purchased a diamond ring for $14,000. The value of the ring increases 2.1% every year
Answers
Answer:
14,000+2.1%(0.021)x
Step-by-step explanation:
x is how many years
What is the value of x in the equation?
Two-thirds (x + 6) = negative 18
Answers
Answer:
the answer is x= -33
Step-by-step explanation:
Mr.Camron had 1/3 of a pan of lasagna represented by the shaded part of the rectangle. He cut the lasagna into 4 equal pieces and ate one piece for lunch. What fraction of the whole pan of lasagna did Mr.Camron eat for lunch?
Answers
Answer:
1/12 of the pan
Step-by-step explanation:
He has 1/3 of a pan of lasagna.
You are dividing it by 4 as he cut the 1/3 pan into 4 equal pieces, so you can do 1/3 divided by 4.
A simple trick to divide a fraction from a number is to change the division sign to multiplication and flipping over the second fraction.
So 1/3 / 4
would become
1/3 x 1/4
and so it is 1/12
1/12 is your answer
Hope this helps!
is it yes or no??........
Answers
Answer:
No
Step-by-step explanation:
It's not proportional because the unit rate for each hour isn't the same.
WILL GIVE BRAINLIEST PLS HELP !!
Answers
Answer:
SAS
Step-by-step explanation:
You have two sides and the right angle
From 74 ft to 75 ft? And is it a increase or decrease
Answers
Answer:
Its an increase
1 ft difference
increasing i believe
please help me answer my question
Answers
f = -15/4
Help me please!
How much can the Owen family expect to pay per year for tuition to a private college?
A)$22,568
B)$23.068
C)$24.618
D)$25.458
Answers
563/84 show how u solved
Answers
Answer:
u just have to divide
put the numbers in a calculator and the answer is 6.70238095238
Step-by-step explanation:
hope this helps
Answer:
you can't divide it
if u do then its
6.70238095238095238095.............................
6 r 59
Step-by-step explanation:
ok ok um so
multiples of 84:
84
168
252
336
420
504
588
we take 504
563-504 = 59
504/84 = 6
so 6 r 59
What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8
Answers
Answer:
C
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
5x - 2(2x-1) = 6 Distribute first the 2 to (2x-1)
5x - 4x + 2 = 6 Subtract 5x - 4x
x + 2 = 6 Transpose 2 to the right side by subtracting both side by 2
x = 6 -2
x = 4
help with math? heres the question.
-
answer options:
8
2
5
3
Answers
38x-2=112
add 2 to both sides you then get
38x=114
divide 38 by both sides
and you will get 3 hope that helps
whats 17+-44 describe how you got that answer”
Answers
If it’s a negative and a positive then the answer will be a negitive but if it’s two negatives then the answer will be positive
Answer:
17 plus 44 is 61.
Step-by-step explanation:
I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?
im not sure how to do this
Answers
x = 99
hope this helped!
Answer:
99 or 28 sorry I couldn't help
