Use the table to write a linear function that relates y to x .
x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?
Answers
Answer:
The linear function is [tex]y = -3x + 2[/tex]
Step-by-step explanation:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(the value of y when x = 0).
In the table, we have that when x = 0, y = 2
This means that [tex]b = 2[/tex]. So
[tex]y = mx + 2[/tex]
Finding the slope:
We take two points, and the slope is given by the change in y divided by the change in x.
Points (0,2) and (1,-1)
Change in y: -1 - 2 = -3
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{-3}{1} = -3[/tex]
So
[tex]y = -3x + 2[/tex]
Related Questions
Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )
Answers
Answer:
b
Step-by-step explanation:
Answer:
(-∞, -1) (-1, 2) (2, ∞)
Step-by-step explanation:
which expression is equivalent to 7a-8-12a+4
Answers
Answer:
-5a-4
Step-by-step explanation:
7a-8-12a+4
7a-12a-8+4
=-5a-4
Find the slope of the line that passes through (7, 5) and (4, 1).
ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER
Answers
Answer:
Slope=-4/-3
Step-by-step explanation:
x1=7, x2=4, y1=5, y2=1
m=y2-y1/x2-x1
m=1-5/4-7
m=-4/-3
2. Using the ruler below, construct a triangle that has side lengths of 3 cm, 4 cm, and 5 cm.
triangle does this appear to be? Verify by using your protractor to measure angles.
What type of
Answers
Step-by-step explanation:
if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):
3²+4²=5²; ⇔ 9+16=25.
if JK is the midsegment of triangle GHI, find x
Answers
Answer:
C. 11
Step-by-step explanation:
Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:
JK = ½(HI)
HI = 22
Therefore,
JK = ½(22)
JK = 11
Which shows a proportion comparing the rise and run for each of the similar slope triangles,
and the numeric value?
y
Your Answer
?
BC
YZ
YX
b) - B:
d) = 4:2
c) 4 - BA
122
Answers
Answer:
1/2 = 3/6
Step-by-step explanation:
Slope = Rise / Run
Rise = change in yaxis = y2 - y1
Run = change in x axis = x2 - x1
For the smaller triangle :
Rise = MO = 1 unit
Run = NO = 2 units
Thus;
slope = 1/2
For the larger triangle :
Rise = PR = 3 unit
Run = QR = 6 units
Thus ;
Slope = 3/6
Smaller = larger
1/2 = 3/6
PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)
Answers
2can
3cant
4cant
A tree grows at a rate of 30 cm per year. If the tree is 5 meters tall
now, how tall will it be in 4 years?
Hint: Find the relationship between centimeters and and meters.
Answers
Answer:
Step-by-step explanation:
30 cm per year
now the tree is 5m
in 4 years the tree grew 4*30=120cm=1m 20 cm
the tree is 5+1.20 cm=6.20m tall
Distribute -3(2n + 8)
Answers
Answer:
-6n - 24
Step-by-step explanation:
-3(2n) = -6n
-3(8) = -24
Enter your answer and show all the steps that you use to solve this problem in the space provided.
A graph with horizontal axis x and vertical axis y. Polygon WXYZ is plotted at the following points. W: left-parenthesis a comma 4b right-parenthesis. Z: left-parenthesis 0 comma b right-parenthesis. X: left-parenthesis 2a comma b right-parenthesis. Y: left-parenthesis a comma 0. Two dotted perpendicular lines WY and XZ are shown within the polygon.
Write a coordinate proof of the following theorem.
If a quadrilateral is a kite, then its diagonals are perpendicular. 60 POINTS
Answers
Answer:
sorry can u add a picture?
Step-by-step explanation:
if there is one sorry...
Could you help me plz
Answers
Answer:
Step-by-step explanation:
(For a circle)
Circumference formula: π*2r
Area formula: π*r^2
1:
A)
π*2(3) =>6π=>18.84 m
B)
π*(3)^2=>9π=>28.27 m^2
2.
A)
π*2(3.1)=>6.2π=>19.47 m
B)
π*(3.1)^2=>9.61π=>30.19 m^2
Factorise fullyc^3+ c^2
Answers
Answer:
c^2( c+1)
Step-by-step explanation:
c^3+ c^2
The greatest common factor is c^2
c^2( c+1)
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answers
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?
Ashley:p=2d
Carly:p=d+5
Answers
what is the value of the y coordinate of point A
Answers
Answer:
E on Edge
Step-by-step explanation:
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answers
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answers
Answer: See step by step
Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle 6 and 7 are supplementary angles because they forma linear pair.
Answer:
I have multiple answers for this.
Verticle Angles: 2 &4, 3&1, 6&8, 7&5
Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8
Step-by-step explanation:
Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)
what are composite numbers out of 49, 35, 32, 41, and 47
Answers
Step-by-step explanation:
Composite numbers are 32,35,and 49 .
I hope it's helpful!
Write the number in standard form and expanded form. Three million four hundred eighty- seven thousand six hundred fifty-one
Answers
Answer:
down below
Step-by-step explanation:
3,487, 651
(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +
(5 x 10) + (1 x 1)
When Michael was 10 years old, Sam was 14. Sam is now 28 and Michael is 24.
Answers
Answer:
4 years difference
Step-by-step explanation:
earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth
Answers
Answer:
[tex]33[/tex] times
Step-by-step explanation:
Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles
Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles
Find [tex]\frac{d}{D}[/tex].
[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]
Therefore,
Neptune is approximately [tex]33[/tex] times farther from the sun than earth
If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?
Answers
Answer:
ROS = 225°
Step-by-step explanation:
The four corners of the squares add up to 360°
Hope it helps you
Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Given that:
[tex]m\angle QOS = 46^o[/tex]
[tex]m\angle POR = 61^o[/tex]
[tex]m\angle POQ = 28^o[/tex]
The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).
This means that we can apply the angle at a point theorem.
The theorem is represented as:
[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]
So, we have:
[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]
[tex]135^o + m\angle ROS = 360^o[/tex]
Collect like terms
[tex]m\angle ROS = 360^o -135^o[/tex]
[tex]m\angle ROS = 225^o[/tex]
Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Learn more about angles at:
https://brainly.com/question/15767203
Which is bigger 1/4 or 0.21
Answers
Answer:
1/4
Step-by-step explanation:
1/4=0.25
Help help help help please this is due soon
Answers
Answer: (2,-1)
Step-by-step explanation:
Answer:
A'(1, -2)Step-by-step explanation:
The rule for a rotation by 270° about the origin is:
(x, y) → (y, - x)Apply the rule to the point A, which has coordinates of (2, 1)
A(2, 1) → A'(1, -2)What is the perimeter of the figure
Answers
Answer:
38m
Step-by-step explanation:
the top side is equal to
2 + 5 + 1 = 8
the perimeter:
9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38
Evaluate the expression when b=2 .
b⋅5 =
Answer:
Answers
Answer:
[tex]b*5 = 10[/tex]
Step-by-step explanation:
Given
[tex]b = 2[/tex]
Required
Evaluate [tex]b*5[/tex]
To do this, we simply substitute 2 for b in [tex]b*5[/tex]
[tex]b*5 = 2 * 5[/tex]
[tex]b*5 = 10[/tex]
The result of the expression is 10
Chris and Maddie share in the ratio 3:5 How much do they each receive?
Answers
If EH = 18 and FG 1 EH, solve for the measure of EG.
Answers
Answer:
9
Step-by-step explanation:
If its perpendicular, it probably bisects EH, so just split it in half.
The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total help plz
Answers
Answer:
35
Step-by-step explanation:
3x=28
x=7
no.of total students=35
28/4=7
3*7=21
1*7=7
28+7=35
0.7 is 0.5% of what number?
Answers
...............140...............