(Due in 20 minutes!)
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
Answers
Answer:
[tex]y=\frac{1}{2} x-40[/tex]
Step-by-step explanation:
Slope interccept form: y=mx+b
(m= the slope, b= the y-intercept (the y value when x=0))
for every 2 x-values the y-value increases by 1. Slope is written as [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex] which is the change in the y-values divided by the change in x-values. You can find the slope by plugging in points.
[tex]\frac{(-42)-(-41)}{(-2)-(-4)} =\frac{1}{2\\}[/tex] so now you have [tex]y=\frac{1}{2}x+b[/tex]
b is whatever the value of y is when x=0. According to the table when x=0 then y=-40. The final equation is [tex]y=\frac{1}{2} x-40[/tex]
Related Questions
if f(x)=2x^2+12 , what is f(3)
Answers
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 2(3)^2 + 12 = 30
The cost of $ 385 in 2004 was 10% more than the cost in2003. Calculate the cost in 2003.
Answers
9514 1404 393
Answer:
$350
Step-by-step explanation:
Let c represent the cost in 2003. Then we have the cost in 2004 is ...
c + 0.10·c = 385
1.1c = 385
c = 385/1.1 = 350
The cost in 2003 was $350.
Find the values of a through e that make these two relations inverses of each other.
Answers
Answer:
what are we finding the values of there should be a picture or something
Step-by-step explanation:
Can someone help me do this i need helpppp
Answers
5x+2=87
5x=85
X=17
180-87-42=51
Angle C= angle F
3y=51
Y=17
Determine the number of lines of symmetry for each figure.
Answers
Answer:
1) 6
2)0
3)1
The lines of symmetry are like the line that are the perfect half
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
Really need help.
Answers
Answer:A
Step-by-step explanation:
Why is y=3 a polynomial function?
Answers
Answer: y=3 is a polynomial function? Yes. The equation y=3 represents the function that maps all x values to 3
Step-by-step explanation:
The equation y= 3 represents a horizontal line, which will have exactly one intersection point with any vertical line. So it passes the vertical line test for a function too.
graph{y=3+0.0000001x [-10, 10, -5, 5]}
is 0.001 a rational or irrational number
Answers
Answer:
rational number
Step-by-step explanation:
A rational number cannot be divisible by multiple factors. (hint. every number is divisible by itself and 1)
2x+20=12x by first subtracting 20 from each side what property allows you to do so does it help you get closer to finding a solution what is a better first step
Answers
Answer:
Step-by-step explanation:
2x+20=12x
We can subtract 2x from both sides:
2x+20-2x=12x-2x
20=10x
20/10=x
x=2
Select all the points of intersection between the graphs
of the functions f(x) = (x + 5)(x - 2) and
g(x) = (2x + 1)(x - 2).
Answers
Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
Learn more about functions here:
https://brainly.com/question/343077
#SPJ5
Rearrange x = 3g + 2 to make g the subject.
Answers
I hope it helps
Answer:
In order to make g as the subject, we have only g on the left side and rest of the terms are denoted on the right. So, we consider it as X=3g+2 and switch to other side's 3g+2=x. It has to divide both sides by 3 and literally consider for g=1/3x-2/3 and therefore answer is g=1/3X-2/3.
Please solve the math problem... I will mark you brainliest
Answers
Answer:
the answer is 140
........
6 3/4 ÷1 1/8
HELP ME PLEASE
Answers
Answer: 6
Step-by-step explanation:
6 3/4 x 1 1/8
27/4 x 8/9
Your answer is 6
Someone help me pls
Answers
Answer:
1 rubber cube dude give since we'll
Use your graphing calculator to solve the equation graphically for all real solutions
23 – 6x2 + 4x + 16 = 0
Solutions: 2 =
Answers
( BRAINLIEST QUEATION)
Before Ahmed started to diet. his mass was 108kg. His mass now is 88kg. What percentage of his original mass has he lost?
Answers
Answer:
Step-by-step explanation:
Weight decreased = 108 - 88 = 20 Kg
Percentage decrease = [tex]\frac{20}{108}*100[/tex]
= 18.52%
How do I solve this. Plz do step by step explanation so I can solve these kind of problems in the future. Thanks
Find the values of x and y that maximize or minimize the objective function for each graph.
And Plz don't make me download any thing.
Answers
Answer:
very hard
this is a really hard problem but ignore the graph and pay attention to the numbers
Step-by-step explanation:
How does a sequence of translations , relections , and rotations result in congreunt figures
Answers
Answer:
if the size (and shape) of the figure doesn't change then it's congruent
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
4 ft
5ft
4 ft
9ft
8 ft
Answers
Answer:
52 square feet.
Step-by-step explanation:
length*width=area
Top rectangle = 4ft*5ft = 20sq.ft
Bottom rectangle = 4ft*8ft = 32sq. ft
20+32=52 sq.ft OR (4*5)+(4*8)=52sq.ft
A fair dice is rolled. Find the probability of showing an even prime number
please help me it's math I really need the answer!
Answers
Answer:
1/36
Step-by-step explanation:
outcomes/total number of outcomes
1/36
I think this is it but I'm not sure, don't take my word for it if you don't think it's correct either.
−3/5−(−2/5)=
What is the sum to this problem hurry fast awnser plz
Answers
[tex] \frac{ - 3}{5} - ( \frac{ - 2}{5} ) \\ = \frac{ -3 }{5} + \frac{2}{5} \\ = \frac{ - 3 + 2}{5} \\ = \frac{ - 1}{5} [/tex]
Answer:
[tex] - \frac{3}{5} - ( - \frac{2}{5} )[/tex]
[tex] - \frac{3}{5} + \frac{2}{5} [/tex]
[tex] \frac{ - 3 + 2}{5} [/tex]
[tex] - \frac{ 1}{5} [/tex]
classify -0.25 as rational or irrational. explain.
Answers
Answer:
Rational
Step-by-step explanation:
Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.
Examples of irrational numbers include:
√2 , -√101 , π (pi)
Examples of rational numbers include:
-0.89 , √16 , 1/3
i hope this helps :)
Write the expression in simplest form.
Answers
HERE IS THE ANSWER (see the picture)
If <1 and <2 are complementary angles, and m<1 = 74", find m<2
what’s the answer?
Answers
Answer:
m<2=16
Step-by-step explanation:
To miss a particular shade of pink paint white paint and red paint are mixed in the ratio 4:3 if 12 gallons of red paint are mixed with some white paint to make this same shade of pink how many total gallons of pink result
Answers
vx-w=2
rearrange it and make x the subject
Answers
Answer:
[tex]vx - w = 2 \\ vx = 2 + w \\ x = \frac{2 + w}{v} [/tex]
WILL MARK BRAINLIEST !!!!
Neveah has created the function f(x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that, using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.
Answers
Therefore, growth of her hair is 6 inches in 7 months.
Step-by-step explanation:
Helppp meeee pleaseeee !
Answers
Answer:
51.2 degrees Celsius
Step-by-step explanation:
A hand held digital music player was marked down 1/4 of the original price.
If the sales price is $128.00, what was the original price?
Answers
Answer:
A) you would divide $128 by 4, getting $32. then add that to the original price, being $160.
B) you would divide $160 by 2, getting $80, then add those two together in order to find what it was marked up to, is $240. hopeful, this helps
Step-by-step explanation:
Plz help it’s due tonight!!!